Answers
Answer:
C = 2
Step-by-step explanation:
[tex]p(x)= -x+4x^2+Cx^3-8x^4 \\ \\
\because \: given \: polynmial \: has \: zero \: at \: \\x = \frac{1}{4} \\ \\ \implies \: p\bigg(\frac{1}{4} \bigg) = 0...(1) \\ \\ plug \: x = \frac{1}{4} \: in \: p(x) \: we \: find \\ \\ p \bigg(\frac{1}{4} \bigg) = - \frac{1}{4} + 4 {\bigg(\frac{1}{4} \bigg)}^{2} + c {\bigg(\frac{1}{4} \bigg)}^{3} - 8 {\bigg(\frac{1}{4} \bigg)}^{4} \\ \\ 0 = - \frac{1}{4} + \cancel 4 \times {\frac{1}{\cancel{16} } } + c {\bigg(\frac{1}{64} \bigg)} - \cancel 8 \times \frac{1}{\cancel{256} } \\ \\0 =\cancel{ - \frac{1}{4}} + \cancel {{\frac{1}{4} }} + c {\bigg(\frac{1}{64} \bigg)} - \times \frac{1}{32} \\ \\0 = c {\bigg(\frac{1}{64} \bigg)} - \frac{1}{32} \\ \\c {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32} \\ \\ c = \frac{1}{32} \times 64 \\ \\ c = 2[/tex]
Related Questions
I don't understand this. Plz help!!!
Answers
Answer:
if you can, start from the y intercept (4) and then go 3 up,2 right
Step-by-step explanation:
I'm begging you please help me!!! Thank you! ♡
Answers
4598÷101=
with the remainder
Answers
Answer:
45 remainder 93
Step-by-step explanation:
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area of 22m2. He knows that the base must be 1 less than 3 times the height. If the base is represented by 3x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Group of answer choices
1/2x(3x - 1) = 11
x(3x -1) = 11
x(3x - 1) = 22
1/2x(3x - 1) = 22
Answers
Answer:
Base=3x-1
height =x
As we know that in a triangle
[tex]{\boxed{\sf Area={\dfrac {1}{2}}\times Base \times Height }}[/tex]
Substitute the value[tex]\qquad\quad {:}\longrightarrow\sf 22={\dfrac {1}{2}}(3x-1)(x)[/tex]
[tex]\qquad\quad {:}\longrightarrow\sf x (3x-1)=44 [/tex]
[tex]\qquad\quad {:}\longrightarrow\sf 3x^2-x=44 [/tex]
Correct option is option DThe equation that correctly shows the area of the triangle is 1/2x(3x - 1) = 22. Correct option is d.
To find the equation that correctly shows the area of the triangle, we use the formula for the area of a triangle:
Area = (1/2) * base * height
Given that the base is represented by 3x - 1 and the height is x, the area of the triangle is:
Area = (1/2) * (3x - 1) * x
Now, we are given that the area of the triangle is 22m^2:
(1/2) * (3x - 1) * x = 22
To solve for x, we can multiply both sides by 2 to eliminate the fraction:
2 * (1/2) * (3x - 1) * x = 2 * 22
x * (3x - 1) = 44
Now, we have the equation that correctly shows the area of the triangle:
x(3x - 1) = 44
So, the correct answer is:
x(3x - 1) = 44
To know more about triangle"
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At an online bookstore, Alicia downloads 3 books for $9 each and 2 magazines for $4 each. She uses a $50 gift card to pay for the books. Write an expression that shows how she can figure out how much money is left on the card after making the purchases.
Answers
Answer:
$15
Step-by-step explanation:
So first we see that alicia buys 3 books for $9 and that would be 27 because 3x9=27. Now we also see that she bought 2 magazines for $4 and that would be 8 because we are multiplying 4x2. Now we add 27 and 8 which would give us 35. She uses a $50 card to make the purchase. We subtract, 50-35 and we would get 15. So alicia has $15 left on the card.
Write an equation of a line that is parallel to the line y = 3x + 10
A) 2y = 6x + 8
B) y = 1/3x + 8
C) y = 6x +7
D) 2y = 2x + 10
Answers
Reason- in order to have two lines be parallel they must have the same slope, in this case the slope has to be 3x. If you look at A it is 2y=6x+8 and to graph it, y has to be by itself. so you divide both sides by two making it y=3x+4, and as you can see it now has a slope of 3x.
If it takes a window washer 90 minutes to clean 11 windows, how long will it take to wash 55 windows at this rate? A. 6.72 hours B. 7.00 hours C. 7.50 hours D. 8.25 hours
Answers
Answer:
C. 7.50 hrs
Step-by-step explanation:
Since it takes 90 mins to clean 11 windows, the rate that it takes the washer per window is [tex]\frac{90}{11}[/tex] minutes. At this rate, if he were to clean 55 windows it would take him [tex]\frac{90}{11}(55) = 450[/tex] minutes. This translates into 7.50 hrs.
John is inviting himself, Lucy, and 5 of their closest friends to the party. If there are 3
3/4 cups of yogurt, how many cups of yogurt will John and the rest of the guests at the party each equally receive? PLS ANSWER. I WILL GIVE POINTS TO WHOEVER ANSWERS FIRST.
Answers
Answer:
99
Step-by-step explanation:
Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?
A) R'(8,2)
B) R'(1, 1/4)
C) R'(6,3)
D) R'(2,8)
Answers
Answer:
Correct Answer: (8,2)
Step-by-step explanation:
Dilation about the origin
Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.
In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).
The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)
Hey Brainly Users! Sometimes you get the answer wrong and guess what that is ok! You didn't mean to and those who are rude to you about are just not being kind! You did not do it on purpose you tried your best to help someone which is very kind! I hope everyone out their knows that they are beautiful inside and out and I hope you never let anyone take advantage of you or bring you down! Have a great Christmas break!
Be kind to one another, tenderhearted, forgiving one another, as God in Christ forgave you.
Answers
Answer:
Ok! Thanks for the points, brainliest?
The nth term of a sequence is 60-8n. Find the largest number in this sequence
Answers
Answer:
n=7.5
Step-by-step explanation:
Ryan made 70% of the basketball shots he attempted if he made 63 baskets how many shots did he attempt
Answers
Answer:
Ryan attempted 90 shots
Step-by-step explanation:
63 is 70% of 90
90 x .7 = 63
Ryan attempted 90 shots and 63 of them are baskets which is 70 percent.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Ryan made 70% of the basketball shots he attempted.
let, 'x' be the number of shots he attempted and 63 of them are baskets.
So, 70% of x is 63, which is,
(70/100)×x = 63.
0.7x = 63.
x = 63/0.7.
x = 90.
So, Ryan attempted 90 shots in total.
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Write a linear function with the values f(6)=8 and f(9)=3
*PLEASE HELP IM SO LOST*
Answers
Answer:
y = -5x/3 + 18
Step-by-step explanation:
The points can be written as;
(x,f(x))
where f(x) is same as y
So the points we have are;
(6,8) and (9,3)
We start by finding the slope or the line connecting the points
m = y2-y1/x2-x1 = (3-8)/(9-6) = -5/3
So now we have the general form of a linear equation as
y = mx + b
where m is slope and b is y intercept
We already have slope and we want to calculate y-intercept
Simply substitute one of the points
(9,3) in this case
9 for x and 3 for y
we have ;
y = -5x/3 + c
3 = -15 + c
c = 18
So the line equation is;
y = -5x/3 + 18
A line through (3,8) with a slope of 2 has a y -intercept at ___BLANK_____
Answers
Answer:
the y intercept is at (0,2)
HELP ME OUT PLS!! values, which are persistent beliefs or principles common to most members of a society, can further be understood and
compartmentalized as core values, family values, and
work values
Ofriend values
O spouse values
O personal values
Answers
Answer:
personal values
Step-by-step explanation:
values = principals. that being said, you won't live your life following your friends or spouses principles, instead you'd live your life by your own principles.
What is the image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin?
Answers
Answer:
it should be 1,1. nnhbnhh vfc thg there eventual
The image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin is (-1, 0).
How does rotation by 90 degrees changes the coordinates of a point if rotation is concerning origin?Let the point be having coordinates (x,y).
Case 1: If the point is in the first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 2: If the point is in the second quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 3: If the point is in the third quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
For points on axes, it can take that point in any of the two surrounding quadrants. Since if the point is on the positive x-axis, then it can take as of the first quadrant or fourth quadrant.
There is no effect as we assumed rotation is concerning origin.
(0,1) ---- (-1, 0)
Hence, the image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin is (-1, 0).
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ahhh helppp!
cross out one ordered pair that will make the relation a function if it is removed.
Answers
Answer:D
Step-by-step explanation:
Function means that the pairs inside the [ ] should not have the same x value. since there are 2 pairs with 2 as the x value, you need to eliminate one of them
The volumes of two similar prisms are 512 ft³ and 8000 ft³. Find the ratio of their heights.
Answers
Answer:
Ratio of their heights is 8 ft and 20 ft.
Step-by-step explanation:
It is given the volumes of similar prisms are 512 ft^3 and 8000 ft^3,
Please remember the concept if two shapes are similar and their sides are in the ratio a:b
Then their area is in the ratio of [tex]a^{2} :b^{2}[/tex]
And their volume is in the ratio of [tex]a^{3} :b^{3}[/tex]
So, if we take cube root of the given volumes it would give us the ratio of heights.
So, ratio of heights of similar shapes =[tex]\sqrt[3]{512} :\sqrt[3]{8000}[/tex]
Simplify them.
So, ratio of heights =8 : 20
At 2:00 P.M., the water temperature in
the pool was 88 °F. By 10:00 P.M. the
water temperature in the pool was
75 °F. By how many degrees did the
water temperature drop?
Answers
Answer:
it dropped 13 degrees
Step-by-step explanation:
count with me :) deqeweDr3
1
Answers
Answer:
no
Step-by-step explanation:
because i siad so
Please solve, Im in a Hurry!
I will name the Brainliest!
Answers
Answer:
it is a function
Step-by-step explanation:
I can give you the cordinates:
(-1,1)
(2,7)
(1,-1)
(3,0)
It is a function because if you do the vertical line test you wont hit two x values twice.
Describe the pattern below.
Answers
Answer:
Adding another row of dots that are 1 bigger than the last row
1+2=3
1+2+3=6
1+2+3+4=10
Try working it out from this!
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $110,000 5-year term policy for a 22-year-old female. Round your answer to the nearest cent. Term Insurance 5-Year Term 10-Year Term Age Male Female Male Female 20 $2.43 $2.07 $4.49 $4.20 21 2.49 2.15 4.57 4.29 22 4.64 4.36 23 2.55 2.62 2.69 4.70 4.42 2.22 2.30 2.37 2.45 24 4.79 4.47 25 2.77 4.85 4.51 a. $280.50 b. $244.20 $253.00 d. $236.50
pleaseeee help I only have an hour
Answers
Answer:
B. 244.20
Step-by-step explanation:
A was not the right answer
The annual premium for a $110,000 5-year term policy for a 22-year-old female is given by equation A = $ 244.20
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the insurance premium of face value be = $ 1000
Now , the annual premium of 5 year team policy for a female of 22 years is given by B = 2.22
Let the total amount be = $ 110,000
So , the annual premium for a $110,000 5-year term policy for a 22-year-old female A = 2.22 ( total amount / insurance premium of face value )
On simplifying , we get
The annual premium for a $110,000 5-year term policy for a 22-year-old female A = 2.22 ( 110 )
The annual premium for a $110,000 5-year term policy for a 22-year-old female A = $ 244.20
Hence , the annual premium is $ 244.20
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Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
-19 + m > 36
(The greater than sign has a line under it btw)
Answers
Answer:
m> 55 (you only flip the direction of the sign when you divide by a negative number)
Step-by-step explanation:
Answer:
m > 55
Step-by-step explanation:
simplify both sides of the inequality
m - 19 > 36
Add 19 to both sides
36+19
m>55
Hope this helps :D
Mason has 18 raisins Josh has 20 more raisins than Mason Zach has 22 more raisins than Josh How many raisins do Josh and Zach each have ?
Answers
Answer:
Josh and Zach each have 38 and 60 raisins.
Step-by-step explanation:
Total no of raisins Mason have = 18
Josh has 20 more raisins than Mason.
Josh = 20 + 18 = 38 raisins
Zach has 22 more raisins than Josh
Zach = 22 + 38 = 60 raisins
Hence, Josh and Zach each have 38 and 60 raisins.
Angle A= 30 and angle B=40 find angle C
Answers
Answer:
110
Step-by-step explanation:
Give the domain and range of the relation.
D: {−2, −1, 0, 1}
R: {0, 1, 2}
D: −2 ≤ x ≤ 1
R:0 ≤ y ≤ 2
D: {0, 1, 2}
R: {−2, −1, 0, 1}
D: 0 ≤ x ≤ 2
R: −2 ≤ y ≤ 1
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Finding Domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
From the given graph, it is clear that the starting x-value of the line is x=-2, the closed circle at the starting value of x= -2 means the x-value x=-2 is included.
And the line ends at the x-value x=1 with a closed circle, meaning the ending value of x=1 is also included.
Thus, the domain is:
D: {-2, -1, 0, 1} or D: −2 ≤ x ≤ 1
Finding Range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined
From the given graph, it is clear that the starting y-value of the line is y=0, the closed circle at the starting value of y = 0 means the y-value y=0 is included.
And the line ends at the y-value y=2 with a closed circle, meaning the ending value of y=2 is also included.
Thus, the range is:
R: {0, 1, 2} or R: 0 ≤ y ≤ 2
The ratio of the length to the width of a rectangle field is 3 to 2. If the field is 120 yards long, how wide is the feild.
Answers
Answer:
The field is 80 yards wide
Step-by-step explanation:
Ratio of l to w is 3 : 2
Thus;
3:2 = 120:w
3/2 = 120/w
3w = 2 * 120
3w = 240
w = 240/3
w = 80
can you please help me i’m confused
Answers
Answer:
D
Step-by-step explanation:
A pair similar to 3 red to 1 blue is 6 red to 2 blue. Since there are already 4 red and 2 blues, then you just add 2 reds. Hope that helps!
Answer:
D. 2 red, 0 blue
Step-by-step explanation:
You already have 4 red, 2 blue. If you add 2 red, 0 blue, you have 6 red, 2 blue. If you divide both amounts by 2, (6 divided by 2, 2 divided by 2) you get 3 red, 1 blue.
Hope this helps!
