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Komok [63]
3 years ago
9

PLS HELP ! 100 POINTS!!!!! Select the correct answer. This graph represents a quadratic function. What is the value of a in the

function’s equation?

Mathematics
2 answers:
Serga [27]3 years ago
6 0

Answer:

a = 3

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h) ^2 +k  where ( h,k) is the vertex

the vertex is (-2,2)

y = a(x- -2) ^2 +2

y = a(x+2) ^2 +2

Pick another point on the graph to determine a

(-1,5) and substitute into the equation

5 = a( -1+2) ^2 +2

5 = a(1)^2 +2

5 = a(1) +2

Subtract 2 from each side

5-2 = a+2-2

3 = a

irinina [24]3 years ago
4 0

Answer:

a=3

Step-by-step explanation:

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Write the equation in slope-intercept form. y + 2 = 3(x - 4)
ss7ja [257]

Answer: y=3x-14

Step-by-step explanation:

8 0
3 years ago
The amount of time the husband and the wife spend on house work is measured for 15 women and their 15 husbands. For the wives th
dolphi86 [110]

Answer:

The value of the test statistic is z = -0.877.

Step-by-step explanation:

Testing the difference in mean time spent on housework between husbands and wives.

At the null hypothesis, we test if there is no difference, that is, the subtraction of the means is 0:

H_0: \mu_H - \mu_W = 0

At the alternate hypothesis, we test if there is a difference, that is, the subtraction of the means is different from 0.

H_1: \mu_H - \mu_W \neq 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

For the wives the mean was 7 hours/week and for the husbands the mean was 4.5 hours/week. The standard deviation of the differences in time spent on house work was 2.85.

This means that X = 4.5 - 7 = -2.5, s = 2.85

What is the value of the test statistic for testing the difference in mean time spent on housework between husbands and wives?

z = \frac{X - \mu}{s}

z = \frac{-2.5 - 0}{2.85}

z = -0.877

The value of the test statistic is z = -0.877.

4 0
3 years ago
32. Find the ratio of the side lengths of the small triangle to the large
kupik [55]

Answer:

2/3

Step-by-step explanation:

that the ratio of that number

8 0
1 year ago
Two equations are given below: a – 3b = 9 a = b – 3 What is the solution to the set of equations in the form (a, b)?
Vilka [71]
A-3b=9
a=b-3

b-3-3b=9
-2b-3=9
-2b=12
2b=-12
b=-6

a=-6-3
a=-9

Solution: (-9,-6)
----
Check: 
-9=-6-3
-9=-9
TRUE


7 0
3 years ago
Read 2 more answers
ASAP IM BEING TIME PLEASE!!
andre [41]

x° = 14°, y° = 14°; Use vertical and supplementary angles.

Step-by-step explanation:

The image of the answer is attached below.

In the given image two lines are parallel with transversal.

(9x + 12)° and ∠1 are vertically opposite angles.

Vertically opposite angles are equal.

∠1 = (9x + 12)°

Consecutive interior angles are supplementary.

(9x + 12)° + 3x° = 180°

⇒ 12x° = 168°

⇒ x° = 14°

Sum of the adjacent angles in a line are supplementary.

3x° + (4y – 10)° = 180°

⇒ 3(14)° + 4y° – 10° = 180°

⇒ 4y° = 148°

⇒ y° = 14°

Hence, x° = 14°, y° = 14°; Use vertical and supplementary angles.

6 0
3 years ago
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