Answer: Its y-intercept is obtained when the x coordinate is 0, so that the function crosses the y-axis. Therefore, it means that x=0 . Note that the y value that corresponds to this intercept is y=f(0) y = f ( 0 ) . Thus, an ordered pair that represents the y-intercept is (0,f(0)) ( 0 , f ( 0 ) )
Step-by-step explanation:
A regular hexagon has side length 12. What is the area of the hexagon?
144 √3
256√3
216√3
The area of the regular hexagon will be 216√3 square units. Then the correct option is C.
What is the area of the regular polygon?Let 'a' be the apothem and 'p' be the perimeter of the regular polygon.
Then the area of the regular polygon will be
A = (1/2) × a × p
A regular hexagon has a side length of 12. Then the perimeter of the regular hexagon is given as,
P = 6 x 12
P = 72
Then the length of the apothem will be given as,
a = 6 x tan 60
a = 6√3
Then the area of the regular hexagon will be given as,
A = (1/2) x (6√3) x (72)
A = 216√3
A regular hexagon has a side length of 12. Then the area of the regular hexagon will be 216√3 square units. Then the correct option is C.
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Which expression is equivalent to (10x) ^-3,
Answer:
Simplify the following:
(10 x)^(-3)
Multiply each exponent in 10 x by -3:
1/(10^3 x^3)
10^3 = 1000:
Answer: 1/(1000 x^3)
Step-by-step explanation:
Find the average velocity of s(t) = -10t2 + 8t + 4 from t = 4 to t = 4 + h. Vave ?
The average velocity would be,
[tex]V_{avg}= \frac{-10h^2 - 80h + 8t -32}{h}[/tex]
We know that the average velocity is nothing but the total displacement/ total time taken.
As we know the average velocity over the time interval [t1, t2] is given by,
[tex]v_{avg}= \frac{s(t_2) - s(t_1)}{ t_2 - t_1}[/tex]
Here, we have been given the disaplcement function s(t) = -10t² + 8t + 4
And time interval is [4, 4 + h]
For t = 4,
s(4) = -10(4)² + 8(4) + 4
s(4) = -10(16) + 32 + 4
s(4) = -160 + 32 + 4
s(4) = -124
For t = 4 + h
s(4 + h) = -10(4 + h)² + 8t + 4
s(4 + h) = -10(16 + 8h + h²) + 8t + 4
s(4 + h) = -160 - 80h - 10h² + 8t + 4
s(4 + h) = -10h² - 80h + 8t - 156
Using abova formula the average velocity V_(ave) would be,
[tex]V_{avg}= \frac{s(4+h) - s(4)}{ 4+h - 4}\\\\V_{avg}=\frac{-10h^2 - 80h + 8t - 156 - (-124)}{h} \\\\V_{avg}=\frac{-10h^2 - 80h + 8t - 156 + 124}{h} \\\\V_{avg}= \frac{-10h^2 - 80h + 8t -32}{h}[/tex]
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Marta makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let x xx represent the number of free throws she makes. Find the probability that marta makes at least 2 22 of the 3 33 free throws. You may round your answer to the nearest hundredth.
The probability that Marta makes at least 2 of the 3 free throws is 0.73.
1. Marta makes all three free throws :
Probability of making one free throw = 0.90 (90%)
Chance of converting all three free throws = [tex]\(0.90 \times 0.90 \times 0.90\)[/tex]
2. Marta makes two free throws and misses one
Probability of making one free throw = 0.90 (90%)
Missing one free throw has a probability = 1 - 0.90
= 0.10 (10%)
Probability of making two free throws and missing one
[tex]=\(0.90 \times 0.90 \times 0.10 + 0.90 \times 0.10 \times 0.90 + 0.10 \times 0.90 \times 0.90\)[/tex]
3. Marta makes one free throw and misses two (OXO, OOX, XOO):
Probability of making one free throw = 0.90 (90%)
Missing one free throw has a probability = 1 - 0.90
= 0.10 (10%)
Probability of making one free throw and missing two
= [tex]\(0.90 \times 0.10 \times 0.10 + 0.10 \times 0.90 \times 0.10 + 0.10 \times 0.10 \times 0.90\)[/tex]
Now, add the probabilities of all these scenario
[tex]\[\text{Probability of making at least 2 free throws} \\= \text{Probability of making all three} \\+ \text{Probability of making two and missing one} \\+ \text{Probability of making one and missing two}\][/tex]
= 0.729
Thus, the probability is 0.73.
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Janet wants to solve the equation y + startfraction y squared minus 5 over y squared minus 1 endfraction = startfraction y squared + y + 2 over y + 1 endfraction. What should she multiply both sides of the equation by?.
Janet should multiply both sides of the equation by the denominator of the fraction to eliminate the fraction on the right side,
To solve this equation, Janet needs to find the value of "y" that makes the equation true. In order to do this, she needs to get all of the terms with "y" on one side of the equation and all of the constants on the other side.
One way to do this would be to multiply both sides of the equation by the denominator of the fraction on the right side. This will eliminate the fraction on the right side and give Janet an equation with only one term on each side. The denominator of the fraction on the right side is (y+1), so Janet should multiply both sides of the equation by (y+1).
This will give her the equation:
(y+1)(y+startfraction y squared minus 5 over y squared minus 1 end fraction) = (y+1)(start fraction y squared + y + 2 over y + 1 end fraction)
Multiplying out the terms on each side will give Janet a polynomial equation in "y" that she can solve using standard techniques.
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what is the answer to 4/5+3/5?
Answer:
Step-by-step explanation:
1.4
Answer:
1 2/5
Step-by-step explanation:
simplified: 1.4
-8 + ( y + 3 ) is 32. what is y?
Answer:
y=37
Step-by-step explanation:
-8 + (y+3) =32
-8+y+3=32
-5+5+y=32+5
y=37
Generalize Knowing all three angle measures
of a right triangle does not determine the exact
side lengths. However, knowing all three side
lengths of a right triangle does determine the
exact angle measures. Explain why.
This is because the Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
What is Pythagorean Theorem?Pythagorean Theorem is an essential mathematical principle that has been used for centuries. It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem is named after the ancient Greek mathematician Pythagoras. Using this theorem, one can calculate the length of any side of a right triangle if the lengths of the other two sides are known.
This relationship between the side lengths and the angle measures can be used to calculate the exact angle measures when all three side lengths are known.
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Complete the following tables -math
Selling price- $500.00
Rate of discount- 20%
Discount- No.
Sale price- no.
Pls help I don't know what's the answer! TvT I want to have higher grades so I can make my family proud.
Answer:
I am not sure I hope this helps!
Selling price- $500.00
Rate of discount- 20%
Discount- $100.00 (20% of $500.00)
Sale price- $400.00 ($500.00 - $100.00)
Find the size of the angle marked LM, correct to three significant figures
b.) Assuming LK to be a true north line, what would be the bearing for a journey from M to L
The required length of LM and LK are given as 4.709 cm and 3.151 cm respectively.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.
Here,
Let LM = x and LK = y
Applying trig operators,
(1)
tan48 = 3.5 / y
y = 3.5 / tan48
y = 3.151 cm
(2)
sin48 = 3.5 / x
x = 3.5/sin 48
x = 4.709 cm
Thus, the required length of LM and LK are given as 4.709 cm and 3.151 cm respectively.
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At time t=0, water begins to drip out of a pipe into an empty bucket. After 42 minutes, there are 14 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule to model how many inches of water w are in the bucket after any number of minutes will be w = (1/3)t + 14
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. An equation expresses the relationship between the variables that are given
In this situation, At time t=0, water begins to drip out of a pipe into an empty bucket. After 42 minutes, there are 14 inches of water in the bucket
The linear function rule to model how many inches of water w are in the bucket after any number of minutes will be:
w = (14/42)t + 14
w = (1/3)t + 14
Therefore, based on the calculation, the equation that can be used to represent the information will be w = (1/3)t + 14
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find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,-1) and (9,-5)
The midpoint of the line segment is (4, -3).
The slope of the line segment is -2/5.
The equation of the perpendicular bisector is y = 5/2x - 13.
To find the equation of the perpendicular bisector of a line segment, we need to determine two things:
The midpoint of the line segment and the slope of the perpendicular bisector.
Midpoint:
The midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the formula:
[(x₁ + x₂) / 2, (y₁ + y₂) / 2]
Using the endpoints (-1, -1) and (9, -5), we can find the midpoint:
x = (-1 + 9) / 2 = 4
y = (-1 - 5) / 2 = -3
Slope:
The slope of the line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Using the endpoints (-1, -1) and (9, -5), we can find the slope:
m = (-5 - (-1)) / (9 - (-1))
= (-5 + 1) / (9 + 1)
= -4 / 10
= -2 / 5
Perpendicular Bisector:
The slope of the perpendicular bisector will be the negative reciprocal of the slope of the line segment.
The slope of the perpendicular bisector will be 5/2.
Using the midpoint (4, -3) and the slope 5/2, we can find the equation of the perpendicular bisector using the point-slope form:
y - y₁ = m(x - x₁)
Plugging in the values, we have:
y - (-3) = 5/2(x - 4)
y + 3 = 5/2(x - 4)
y + 3 = 5/2x - 10
y = 5/2x - 10 - 3
y = 5/2x - 13
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helppp both of them tysmmm
Screenshots below
Answer:
Add 3 to both sides
Divide -9 from each side
Step-by-step explanation:
-9d - 3 = -12
+3 = +3
-9d = -9
then, divide each side by -9 and you have your answer
Hope that helps!
Answer:
Add 3 to both sides
Divide both sides by -9
Step-by-step explanation:
-9d -3 = -12
-9d - 3 + 3 = -1 + 3 Add 3 to both sides
-9d = -9 Divide both sides by -9
[tex]\frac{-9d}{-9}[/tex] = [tex]\frac{-9}{-9}[/tex]
d = 1
which coordinate plane is closest to the point (6, 4, 9)? xz-plane yz-plane xy-plane correct: your answer is correct. find an equation of the sphere with center (6, 4, 9) that just touches (at one point) that coordinate plane. incorrect: your answer is incorrect.
The equation of the sphere with center (6, 4, 9) that just touches the xy-plane is (x - 6)^2 + (y - 4)^2 + (z - 9)^2 = 0.
To find the equation of the sphere with center (6, 4, 9) that just touches the xy-plane, we can first find the equation of the xy-plane and then use the point-normal form of the equation of a sphere to find the desired equation.
The equation of the xy-plane is z = 0. Now, we can use the point-normal form of the equation of a sphere, which is
(x - h)^2 + (y - k)^2 + (z - l)^2 = r^2,
where (h, k, l) is the center of the sphere and r is the radius of the sphere. Since the sphere is just touching the xy-plane, the z-coordinate of the center is equal to 0, so the equation of the sphere can be written as (x - 6)^2 + (y - 4)^2 + (z - 0)^2 = r^2.
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PLEASE HELP 20 POINTS
Solve for x
Round to the nearest tenth, if necessary.
Answer:
x = 17.6
Step-by-step explanation:
This is a right triangle.
To find the value of x, the length of the hypotenuse, we write the following equation using Pythagoras theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Given legs' lengths, 12 and 13, are a and b respectively[tex] {12}^{2} + {13}^{2} = {x}^{2} [/tex]
Find the square value of legs[tex]144 + 169 = {x}^{2} [/tex]
Find the sum[tex]313 = {x}^{2} [/tex]
Calculate the root for both sidesx = 17.6 approximately
y=-3/2x+6
write a equation that is perpendicular to the line that passes through these points (-9,6)
write a equation that is parallel to the line that passes through these points(-9,6)
The equations for the perpendicular and parallel lines are obtained as y = 2/3x + 12 and y = -3/2x - 15/2 respectively.
How to write the equation of a straight line in slope-intercept form?A straight line can be written in the slope-intercept form as, y = mx + c.
In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.
The equation of the line is given as y = -3/2x + 6.
(a) Compare the given equation with y = mx + c to obtain,
m = -3/2
Then, the slope of the perpendicular line is given as,
⇒ -1 ÷ -3/2 = 2/3
Plug x = -9 and y = 6 in y = mx + c to get,
6 = 2/3 × -9 + c
⇒ c = 12
Thus, the required equation can be given as y = 2/3x + 12.
(b) The slope of the line parallel to y = -3/2x + 6 is -3/2.
Plug x = -9 and y = 6 in y = mx + c to get,
6 = -3/2 × -9 + c
⇒ c = -15/2
Thus, the required equation can be given as y = -3/2x - 15/2.
Hence, the equations of the lines for both part are given as y = 2/3x + 12 and y = -3/2x - 15/2 respectively.
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The slope of which of the following passes
through the point (0,21)
1)-3/4
2)7/8
3)-1/2
4)9/8
Answer:
hard question
Step-by-step explanation:
What is the equation in point-slope form of the line that passes through the point (-1,-4)
and has a slope of -3? It had to be graphed.
Answer:
y + 4= -3(x + 1)
y = -3x - 7
Step-by-step explanation:
Under a dilation, the point (−3, −4) is moved to (−15, −20). what is the scale factor of the dilation? enter your answer in the box.
Answer:
The scale factor is 4
Step-by-step explanation:
Assuming that the center of the dilation is the origin (0,0). I hope the picture is clear enough to read.
Given pqr find the values of x and y. In your final answer, include all of your calculations.
the values or root of x and y. are
• x = 9
• y = 6√2
The right triangles are all similar, so the ratios of hypotenuse to short side are the same:
27/x = x/3
x^2 = 81 . . . . . multiply by 3x
x = 9 . . . . . . . . take the square root
Then y can be found from the Pythagorean theorem:
x^2 = y^2 + 3^2
81 - 9 = y^2 = 72 . . . . . subtract 9
y = √72 = 6√2 . . . . . . .take the square root
The values of x and y are 9 and 6√2, respectively.
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What is the value of a and b?
The value of a and b are 9 and 14 when the two triangle ΔJHK congruent to ΔTRS.
Given that,
We have two triangle. ΔJHK congruent to ΔTRS
We must evaluate what a and b are worth.
We know that,
In the picture we have two triangle
ΔJHK has ∠H = 51° and ∠K = 7b-15
ΔTRS has ∠S= 83° and ∠T = 6a-3
What is congruent triangles?When all three corresponding sides are the same length and all three corresponding angles are the same size, two triangles are said to be congruent.
We have ∠ H ≅ ∠ T,
∠ J ≅ ∠ R and
∠ K ≅ ∠ S.
So,
∠ H ≅ ∠ T,
51°=6a-3
6a=51+3
6a =54
a=9
∠ K ≅ ∠ S.
7b-15=83
7b=83+15
7b=98
b=14
Therefore, The value of a and b are 9 and 14 when the two triangle ΔJHK congruent to ΔTRS.
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Evaluate ab + c for a= 2, b = 5, c = 4.
O 14
O 20
O 18
O22
Answer:
14
Step-by-step explanation:
because ab means 2(5), then add 4 you get your answer as 14
can someone please help me? i need help so bad
Answer:
y = -4x + 9
Step-by-step explanation:
y = mx + b
First, we will find 'm', aka slope,
([tex]y_{2}[/tex] - [tex]y_{1}[/tex] ) / ([tex]x_{2}[/tex] - [tex]x_{1}[/tex]) = m
(-7 -7)/ (4 - (-3)) = m
-14/ 7 = m
∴ m = -2
Then we can substitute m = -2 and point 1 in to find 'b', aka y-intercept,
7 = -2 (-3) + b
7 = 6 + b
7 - 6 = b
∴ b = 1
Hence the equation is,
y = -2x + 1
2) A deep-sea diver is coming up from his world record diving adventure. He travelled 320m under the Red Sea. He came up at a rate of 10 metres a minute for 32 minutes. How many metres was he under the sea at the end of the 10 minutes?
100 meters was he under the sea at the end of the 10 minutes. This can be solved using the concept of multiplication.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four fundamental mathematical operations. Multiply in arithmetic refers to the continuous addition of equal-sized groups.
Multiplication in mathematics is the addition of equal groups. The number of items there in group expands while we multiply. An example of a multiplication issue would be the product and the two components. The components in the multiplication problem 8 x 9 = 72 are the numbers 8 and 9, while the result is the number 72.
At the end of 10 minutes, the deep-sea diver would have been at a depth of 100 meters under the sea.
This is because 10 meters per minute multiplied by 10 minutes
= 100 meters.
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geometry please help fast
Step-by-step explanation:
as it is a right angled triangle ,you can use the formula above .
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 90% confidence interval with a maximum error of 0.18 reproductions per hour. Assuming that the mean is 10.3 reproductions and the standard deviation is known to be 2.2, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
The minimum sample size required for the estimate is 7.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
Mean = 10.3
Standard deviation = S.D = 2.2
Sample size = n = 0.18
90% confidence interval Z value = 1.65
Now,
( {Mean - Z value (S.D/√n)}, {Mean + Z value (S.D/√n} )
( {10.3 - 1.65 (2.2/√0.18), 10.3 + 1.65 (2.2/√0.18} )
( {10.3 - 8.64}, 10.3 + 8.64} )
(1.66, 18.94)
Minimum value:
= 1.66
= 7
Thus,
The minimum sample size is 7.
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Multiplying by which fraction will produce an equivalent fraction with a rational denominator?.
An equivalent fraction with a rational denominator can multiply the original fraction by a fraction with a rational denominator.
To produce an equivalent fraction with a rational denominator, you can multiply the original fraction by a fraction with a rational denominator. For example, if the original fraction is [tex]$\frac{3}{5}$[/tex] , you can multiply it by [tex]$\frac{2}{2}$[/tex] to get the equivalent fraction [tex]$\frac{3 \cdot 2}{5 \cdot 2} = \frac{6}{10}$[/tex] . The denominator of this equivalent fraction, 10, is a rational number.
In general, to produce an equivalent fraction with a rational denominator, you can multiply the original fraction by a fraction with a rational denominator. The specific fraction you choose will depend on the desired denominator.
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Multiplying [tex]\frac{3}{\sqrt{17}-\sqrt{2} }[/tex] by [tex]\frac{\sqrt{17}+\sqrt{2}}{5}[/tex] will produce an equivalent fraction with a rational denominator.
Consider given expression [tex]\frac{3}{\sqrt{17}-\sqrt{2} }[/tex]
First we rationalize a denominator of fraction [tex]\frac{3}{\sqrt{17}-\sqrt{2} }[/tex]
To rationalize the denominator, multiply and divide the expression by [tex]{\sqrt{17}+\sqrt{2} }[/tex]
So given fraction would be,
[tex]\frac{3}{\sqrt{17}-\sqrt{2} }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{(\sqrt{17}-\sqrt{2})\times (\sqrt{17}+\sqrt{2}) }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{(\sqrt{17}^2-\sqrt{2}^2) }\\\\ = \frac{3\times (\sqrt{17}+\sqrt{2})}{(17-2) }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{15 }\\\\= \frac{3\times (\sqrt{17}+\sqrt{2})}{3\times 5 }\\\\= \frac{\sqrt{17}+\sqrt{2}}{5 }[/tex]
Therefore, the required fraction is: [tex]\frac{\sqrt{17}+\sqrt{2}}{5}[/tex]
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A complete question is:
Multiplying 3/sqrt 17 - sqrt 2 by which fraction will produce an equivalent fraction with a rational denominator
Ex. 1: Sides & Angles in Parallelograms
Find the missing side lengths and the missing angles in the following parallelograms.
The angles of the parallelogram are
The measure of ∠A = 4y° = 108°
The measure of ∠B = ( 3x - 18 )° = 72°
The measure of ∠C = 3z° = 108°
The measure of ∠D = ( 2x + 12 )° = 72°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
where
The measure of ∠A = 4y°
The measure of ∠B = ( 3x - 18 )°
The measure of ∠C = 3z°
The measure of ∠D = ( 2x + 12 )°
From the parallelogram theorem , we get
The measure of ∠B = The measure of ∠D be equation (1)
And ,
The measure of ∠A = The measure of ∠C be equation (2)
Substituting the values in the equation , we get
( 3x - 18 )° = ( 2x + 12 )°
3x - 18 = 2x + 12
Adding 18 on both sides of the equation , we get
3x = 2x + 30
Subtracting 2x on both sides of the equation , we get
x = 30
Substituting the value of x in equation ( 1) , we get
3x - 18 = 3 ( 30 ) - 18
The measure of ∠A = 72°
So , the measure of ∠B = the measure of ∠D = 72°
And ,
The measure of ∠A = The measure of ∠C be equation (2)
So , 4y° = 3z°
The total internal angle = 360°
So , 4y° + 3z° = 360° - 72° - 72°
4y° + 3z° = 216° be equation (3)
From equation (2) , we get
2 ( 4y° ) = 216°
Divide by 2 on both sides of the equation , we get
( 4y ) ° = 108°
So , y = 27
And , ( 3z )° = 108°
So , z = 36
And , The measure of ∠A = The measure of ∠C = 108°
Hence , the measures of the angles of the parallelogram are 108° , 72° , 108° and 72°
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the graph of y=3x^4-16x^3+24x^2+48 is concave down for
The graph of y=3x^4-16x^3+24x^2+48 is concave down for x values greater than or equal to 0.
The graph of y=3x^4-16x^3+24x^2+48 is an example of a polynomial function. To determine the concavity of a polynomial function, we must first identify the intervals where the function is increasing and decreasing. In this case, the function is increasing for all x values greater than or equal to 0.
Next, we must find the second derivative and determine the intervals where the second derivative is negative. If the second derivative is negative, then the graph is concave down. For this polynomial, the second derivative is y'' = -48x + 48, which is negative for all x values greater than or equal to 0. This means that the graph of y=3x^4-16x^3+24x^2+48 is concave down for all x values greater than or equal to 0.
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which linear function has the greatest y intercept
A linear function which has the greatest y-intercept include the following: D. y = 3x + 4
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the y-intercept.Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 6x + 1 is 1.The y-intercept of a graph with point (0, 2) is 2.The y-intercept of a graph with point (0, -3) is -3.The y-intercept of y = 3x + 4 is 4.Therefore, y = 3x + 4 is a linear function with the greatest y-intercept.
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Complete Question:
Which linear function has the greatest y-intercept?
y = 6x + 1
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
y = 3x + 4