If the graph of y = (x - 2)^2 - 3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by
A. y = x^2 + 2
B. y = (x - 2)^2 + 5
C. y = (x + 2)^2 + 2
D. y = (x - 4)^2 + 2
Let f(x) = x^2 + 2x + 4. Which of the following statements is NOT true?
A. f(x) has a maximum value
B. The graph of f is not a line
C. The graph of f has no x-intercepts.
D. The graph of f has a y-intercept.
Answer:
d and a
Step-by-step explanation:
Hi friend
The the equation of the graph obtained is y = [tex](x - 4)^2 +2[/tex] and the NOT true statement is f(x) has a maximum value .
What is translation in graph?A translation is a movement of the graph either horizontally parallel to the axis or vertically parallel to the axis. To move a graph right, we add a negative value to the x-value. To move a graph left, we add a positive value to the x-value.
According to the question
1> The graph of y = [tex](x - 2)^2 - 3[/tex]
translation 5 units up and 2 units to the right
Now,
translation 5 units up that means we have to add +5 to move it up
i.e
y = [tex](x - 2)^2 - 3[/tex] + 5
y = [tex](x - 2)^2 +2[/tex]
Then
translation 2 units to the right
as per translation rules:
To move a graph right, we add a negative value to the x-value. To move a graph left, we add a positive value to the x-value.
i.e
y = [tex](x - 2-2)^2 +2[/tex]
y = [tex](x - 4)^2 +2[/tex]
2>The equation f(x) = [tex]x^2 + 2x + 4[/tex]
Analyzing all the options
Option A : f(x) has a maximum value
This statement is not true as y or f(x) can not be always max or min for all values of (x) .
Option B: The graph of f is not a line
This is true as it is a quadratic equations its graph will be parabola .
Option C: The graph of f has no x-intercepts
This statement is true as x intercepts means y = 0
but it cannot be possible
Option D: The graph of f has a y-intercept.
This statement is true as y intercepts means x = 0
at x= 0
the equation will be
f(x) = [tex]x^2 + 2x + 4[/tex]
f(x) = [tex]4[/tex]
Hence, The the equation of the graph obtained is y = [tex](x - 4)^2 +2[/tex] and the NOT true statement is f(x) has a maximum value .
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Help me plz one this
Answer:
0.0028
Step-by-step explanation:
Answer:
theee answer is 0.0028
Factorise mx+cx+my+cy
With steps!!!
x=algebra x
Step-by-step explanation:
Hey there!
While factorising you remember to make it take common in most of the expression.
Here;
=mx+cx+my+cy
Take common 'x' in "mx+cx" and 'y' in my + cy.
= x(m+c) + y(m+c)
Now, "(m+c)" common again.
= (m+c) (x+y)
Therefore the factorized form of the expression in (m+c)(x+y).
Hope it helps...
How can the additive inverse be used to evaluate the problem below?
Negative 3 minus (negative 6)
Answer:
Step-by-step explanation:
HEYAA!!!!!
OPTION D
To get the additive inverse of a positive number you put a minus in front of it and to get the additive inverse of a negative number, you remove the minus to make it a positive number.
because when u see the equation u can see it is -3-(-6)
which if u solve it the answer is -3+6=3
so the correct option is (D)
HOPE U UNDERSTOOD
AP SCHOOL GIVING AWAY 17 POINTS INCLUDING THE BRAINLYST ANSWER!
What does integers have to do with Square Roots?
x-34=xy=78
[tex]\sqrt{x}[/tex] = 91,xy=t
Please Help no dumb answers please. :)
From the examples given it is unclear.
If you know that the square root of some number, x, is 91, you can square 91 to find the value of x.
91² = 8281. Both numbers are integers. 91 can be factored-- 91=7 × 13. Both are prime factors and integers, but not square roots of 91
-34 is an integer, factors could be -2 and 17 or -17 and 2 prime factors and integers. But the square root of -34 is an imaginary number.
78 is not a multiple of -34 so if you are trying to get factors xy of 78 and -34, at least one factor will not be an integer, and the square root is probably irrational-- not an integer.
Maybe confusing, but I'm attempting a sensible discussion of the question.
Four squares ABCD, EFGH, IJKL, and MNOP are constructed such that points E, F, G, H are middle points (midpoints) of the sides of square ABCD. Points I, J, K, L are midpoints of the square EFGH. M, N, O, and P are midpoints of the square IJKL. What is the area of the square ABCD, if OP=2 cm?
By definition, the area of the parallelogram is given by:
A = b * h
Where,
b: base
h: height
We have then:
ABCD parallelogram:
A = (3) * (3)
A = 9 units ^ 2
EFGH parallelogram:
A = (3) * (3)
A = 9 units ^ 2
Answer:
The area of parallelogram ABCD is equal to the area of parallelogram EFGH.
Which ratio is equivalent to 4:7? *
A. 8:15
B. 16:28
C. 20:40
D. 13:21
Which one is right?
PLS HELP ME I"LL GIVE U BRANILEST JUST PLS HELP
Answer:
16:28
Step-by-step explanation:
The answer is 16:28 because if we reduce it to its lowest terms we get 4:7.
To reduce it to its lowest terms we divide both sides by 4 :
16 / 4 = 4 AND 28 / 4 = 7
So 16:28 is the right answer.
HOPE THIS HELPED
Solve the equation.
c²=41
Answer:
5:12
Solving quadratics by taking square roots examples (video)
Step-by-step explanation:
just watch the video, should help
This is hard broooooooooo
Thes answer would be 51 or -51
Using rigid transformations on the trapezoid, build a pattern. Describe some of the
rigid transformations you used.
Using rigid transformations on the trapezoid, build a pattern can be made shown in the picture.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
It is given that:
The trapezoid is shown in the table:
As we know,
The geometric transformation can be defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
After rotating the trapezoid about 180 degrees at the point where 60 degrees angle is formed.
Thus, using rigid transformations on the trapezoid, build a pattern can be made shown in the picture.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
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1.When dividing two numbers with the same sign the quotient or answer is positive.
True
False
2.When dividing two numbers with different signs the quotient or answer is positive.
True
False
3.When dividing two numbers with the same sign the quotient or answer is negative. True
False
4.When dividing two numbers with different signs the quotient or answer is negative.
True
False
What is the angle relationship between LaTeX: \angle4∠ 4 andLaTeX: \angle5∠ 5?
Solve −3.5 = x 4 for x using the multiplication property of equality. The operation in the problem is . The inverse operation is . = x
Answer:
x = -14
Step-by-step explanation:
-3.5 = x/4
On the right side, the fraction x/4 means x divided by 4. We want x alone, so we multiply both sides by 4.
-3.5 * 4 = x/4 * 4
-14 = x
Answer: x = -14
Answer:
Solve −3.5 = x4 for x using the multiplication property of equality.The operation in the problem is Division
The inverse operation is Multiplication
-14 = x
Hope this help
Combine like terms to simplify:
7y - 8y + 11x - 12x
A. -15y - 23x
B. 38xy
C. 15y + 23x
D. -y -x
Find the area of this quadrilateral.
(this is from canvas)
Answer:
27m^2 or twenty-seven meters squared
Step-by-step explanation:
A= 1/2 d1 d2 = 1/2 (6m) (9m) = 27m^2
Answer:32
Step-by-step explanation:You would count the boxes in the quadrilateral, thats how u would fine your area.
On a math test, Ana writes 9 as the solution to [tex]\sqrt[3]{27}[/tex] .
a. Find the correct solution.
b. What error did Ana likely make on the test?
Grapes cost $7.55 per pound. Evan wants to buy 4.8 pounds of grapes, and he estimates that he will need $32 to buy the 4.8 pounds of grapes. Which statement about Evan’s estimate is true?
a Evan rounded 4.8 down to 4. His estimate of $32 is too low.
b Evan rounded both factors up. He has enough money to buy the grapes.
c Evan rounded $7.55 up to 8. His estimate of $32 is too high.
d Evan incorrectly multiplied $8 and 4. His estimate should be $36.
What does the 2 represent in this expression?
Answer:
The 2 shoes that there are 2 of the equation and the answer to the problem is
A submarine dives 68 meters below its original location and then rises. the number line shows the elevations of the submarine after each event. how far did the submarine rise after diving? what was the original elevation of the submarine?
Answer:
It rose 17 meters
Step-by-step explanation:163m is the depth of when it dove so if you take 163-68 then you get the original depth of 95 then take 95 - 78 to get 17 meters and thats your answer hoped i helped! :D good luck and i hope you do better
Graph the line using a point and a slope. Write the equation of each line: a line that contains point (0, −3) and perpendicular to another line whose slope is 2.
Step-by-step explanation:
Equation of line is x=my+c
0=-3*2
Which is a way to show ΔDEF is congruent to ΔD’E’F’?
A. A rotation 90° and a translation 1 unit up and 1 unit left
B. A reflection across the line y = 1 and a translation 2 units up
C. A rotation 180° about the origin and a translation 1 unit up
D. A reflection across the y-axis and a translation 1 unit up and 1 unit left
solve - 5x -3 + 4x + 1= -4
Answer:
x = 2
Step-by-step explanation:
Solve for x:
4 x - 5 x - 3 + 1 = -4
Hint: | Group like terms in 4 x - 5 x - 3 + 1.
Grouping like terms, 4 x - 5 x - 3 + 1 = (4 x - 5 x) + (1 - 3):
(4 x - 5 x) + (1 - 3) = -4
Hint: | Combine like terms in 4 x - 5 x.
4 x - 5 x = -x:
-x + (1 - 3) = -4
Hint: | Evaluate 1 - 3.
1 - 3 = -2:
-2 - x = -4
Hint: | Isolate terms with x to the left hand side.
Add 2 to both sides:
(2 - 2) - x = 2 - 4
Hint: | Look for the difference of two identical terms.
2 - 2 = 0:
-x = 2 - 4
Hint: | Evaluate 2 - 4.
2 - 4 = -2:
-x = -2
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of -x = -2 by -1:
(-x)/(-1) = 2
Hint: | Any nonzero number divided by itself is one.
(-1)/(-1) = 1:
Answer: x = 2
PLEASE HELP ASAPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Please tell me what to do to answer the question after the chart...
Write a mathematical expression using the information from your table to answer the following questions:
What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
Answer:
you need to add the seven temperatures up then divide by how many terms there are then you have the mean/average
Step-by-step explanation:
I'm an FLVS student and had this assignment last year. I attached screenshots of my paper so you can see how to answer the questions. Please just dont copy my work word-for-word; you'll get flagged for plagerism by TurnItIn. Just apply the same methods to your own data.
So for the questions in part B, here's what you could say:1. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
Add all the diffrences in high temperature: 0 + 1 + (-2) + 0 + (-5) + 0 = (-6). Then divide the answer, negative six, by the number of days, six: (-6) ÷ 6 = (-1). This shows that the mean change in forecasted high temperature is (-1).
2. What is the mean change in the forecasted low temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the low temperatures. If your answer is not an integer, explain what two integers your answer is between.
Add all the diffrences in low temperature: (-1) + 1 + 0 + 0 + (-7) + (-2) = (-9). Then divide the answer, negative nine, by the number of days, six: (-9) ÷ 6 = (-1.5). Because this answer is not an interger, we will represent the mean by the two interegers it is between. The mean change in forecasted low temperature is between (-2) and (-1).
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below. Prime factorization of 48: 2, 2, 2, 2, 3 Prime factorization of 72: 2, 2, 2, 3, 3 The greatest common factor is 2 ´ 2 ´ 2 ´ 2 ´ 3 ´ 3. What is Ryan’s error?
Answer:
Step-by-step explanation:
The work that Ryan did to find the greatest common factor of 48 and 72 has no error, and Ryan found the least common multiple.
What is GCF (the greatest common factor)?
GCF or greatest common factor is the common number which all the term has in a group of terms.
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2,2,2,2,3
Prime factorization of 72: 2,2,2,3,3
The greatest common factor is 2 ' 2 ' 2 ' 2 ' 3 ' 3
Here, the greatest common factor found is 2 ' 2 ' 2 ' 2 ' 3 ' 3 which is,
The number 144 is divisible by 48 and 72 in 3 times and 2 times respectively.
Thus, the work that Ryan did to find the greatest common factor of 48 and 72 has no error, and Ryan found the least common multiple.
Ryan's make an error to find the greatest common factor of 48 and 72.
What is Greatest common factors?
The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The numbers are,
⇒ 48 and 72.
Now,
Prime factorization of 48 = 2, 2, 2, 2, 3
Prime factorization of 72 = 2, 2, 2, 3, 3
Thus, The greatest common factor of 48 and 72 = 2 x 2 x 2 x 3
= 24
Clearly, Ryan make an error to find the greatest common factor of
48 and 72.
That is, Ryan says that greatest common factor is 2 ´ 2 ´ 2 ´ 2 ´ 3 ´ 3.
But the greatest common factor is 2 ´ 2 ´ 2 ´ 3.
Therefore, Ryan's make an error to find the greatest common factor of
48 and 72.
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2^2 * 5^2 is the prime factorization of what number?
pls help asap
Answer:
100
Step-by-step explanation:
2^2 * 5^2
4*25
100
you just need to solve. Hope this helps :)
can someone please help me with this?
Skylar got a manicure for $28 and pedicure for $35 at the salon. If she plans to tip 15%, how much will she pay in total? Must show work!
Answer:
Hi there!
Your answer is:
$72.45
Step-by-step explanation:
[28+ (28× .15) ] + [ 35 + (35× .15) ]
( 28+ 4.2) + (35 + 5.25)
32.2 + 40.25
72.45
Hope this helps
Pick the equations that are equal to
15-8y=-11
Answer:
The equations that are equal to 15-8y=-11 are...
- Number 1
- Number 4
Answer: The first one is right
the fourth is right
Step-by-step explanation:theres the answer
Which problem solving strategy would be best to solve this problem?Four people are in line at the movie theater. Jennifer is ahead of Jeanie. John is not first or last in line. Jarett is directly in front of Jennifer. Name the order in which the people are standing in line.A.guess, check and revise.computer or simplifyC.work backwards.write an equation
Answer:
The answer is C, work backwards.
Step-by-step explanation:
Welcome!!!
if theresa's height is 60 inches tall and steve is 6 inches shorter than one and one third times theresa's height how tall is steve?
Steve is 74 inches tall
Answer:
74 inches tall
Step-by-step explanation:
First, let's find out what [tex]1\frac{1}{3}[/tex] multiplied by 60 is.
60·[tex]1\frac{1}{3}[/tex] =80
Then, let's subtract 6 from 80.
80-6=74
So, Steve is 74 inches tall.
