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Solnce55 [7]
3 years ago
7

The following graph of f(x)=x2 has been shifted into the form f(x)=(x-h)2+k

Mathematics
2 answers:
EastWind [94]3 years ago
7 0
K is the y coordinate of the vertex   which is -2.
solniwko [45]3 years ago
4 0

Answer:

k is equal to -2

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem the vertex of the parabola is the point (4,-2)

therefore

h is equal to 4

k is equal to -2

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Solve for b:4 = -2/3(5) + b
saveliy_v [14]

Answer:

\frac{22}{3} = b

or

7\frac{1}{3} = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -\frac{2}{3} (5) + b

simplify

4 = -\frac{10}{3} + b

now use inverse operations

4 = -\frac{10}{3} + b

+\frac{10}{3}  +\frac{10}{3}

\frac{22}{3} = b

4 0
3 years ago
Which is the graph of g(x) = 2x – 1 + 3?
ehidna [41]
The answer is b= 4 is going tho be the answer
4 0
3 years ago
Read 2 more answers
100 points!!!!<br>Solve for a<br>7a - 2b = 5a + b<br>a = 2b<br>a = 3b<br>a = 3/2b <br>a=2/3b​
Llana [10]

Answer:

Therefore solution for a is

a=\frac{3b}{2}

Step-by-step explanation:

Given:

7a - 2b = 5a + b

To Find:

a = ?

Solution:

7a - 2b = 5a + b    .................Given

First take all the 'a' terms to the left hand side and 'b' terms to the right-hand side of the equation,

∴ 7a-5a=2b+b\\\\2a=3b

Now dividing by 2 on both the side we get

∴ \frac{2a}{2} =\frac{3b}{2} \\\\\therefore a=\frac{3b}{2}

Therefore solution for a is

a=\frac{3b}{2}

5 0
3 years ago
The following figures GUNS and RUNS are parallelograms . Find x and y . (Lengths are in cm)
Bingel [31]

Answer: (6, 9), (3, 13)

<u>Step-by-step explanation:</u>

Left picture:

opposite side of parallelograms are congruent (equal)

3x = 18                        3y - 1 = 26

<u>÷3 </u>   <u>÷3 </u>                      <u>      +1 </u>   <u>+1 </u>

  x = 6                          3y     = 27

                                  <u> ÷3      </u>   <u>÷3 </u>

                                         y  = 9

**************************************************************************

Right picture:

diagonals of a parallelogram bisect each other so the left side and right sides of each diagonal are congruent

20 = y + 7

<u>-7  </u>    <u>    -7  </u>

13 = y

                           16 = x + y

                           16 = x + 13

                         <u> -13 </u>   <u>     -13  </u>

                            3  = x

4 0
3 years ago
Three potential employees took an aptitude test. each person took a different version of the test. the scores are reported below
timama [110]

Answer:

Vincent and Reyna.

Step-by-step explanation:

As z-score indicates that a data point is how many standard deviation above mean, so to find which of three applicant should be offered the job, let us find the z-score for each person using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z= z-score,

x= Random sample score,

\mu= Mean,

\sigma= Standard deviation.

\text{z-score for Vincent}=\frac{83.5-68.2}{9}

\text{z-score for Vincent}=\frac{15.3}{9}

\text{z-score for Vincent}=1.7

Therefore, Vincent's score on aptitude test is 1.7 standard deviation above mean.

\text{z-score for Kaitlyn}=\frac{251.2-238}{22}

\text{z-score for Kaitlyn}=\frac{13.2}{22}

\text{z-score for Kaitlyn}=0.6

Therefore, Kaitlyn's score on aptitude test is 0.6 standard deviation above mean.

\text{z-score for Reyna}=\frac{8.04-7.2}{0.7}

\text{z-score for Reyna}=\frac{0.84}{0.7}

\text{z-score for Reyna}=1.2

Therefore, Reyna's score on aptitude test is 1.2 standard deviation above mean.

Since Vincent and Reyna has higher z-scores, therefore, they are further above mean than Kaitlyn. Therefore, Vincent and Reyna should be offered the job.

7 0
3 years ago
Read 2 more answers
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