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Lana71 [14]
3 years ago
14

Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The slope is 1 and the y-intercept is 4. How

much more is the slope of function A than the slope of function B?
Mathematics
1 answer:
____ [38]3 years ago
8 0
1. Subtract 3 from both sides:
y - 3 = 8x
2. Divide both sides by 8:
y - 3/8 = x
3. Switch sides:
x = y - 3/8
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-3/5 they have opposite slopes so they would never touch but are parallel.
4 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0
3 years ago
Help find x. I believe it’s 13
aksik [14]

Answer:

m∠RST = 155°

m∠RSU = 102°

Step-by-step explanation:

m∠RST  = m∠RSU + m∠UST

12x - 1    = 9x - 15 + 53

12x - 9x = 1- 15 + 53

      3x   = 39

        x   = 39/3

         x = 13°

m∠RST  = (12x -1)° = (12 * 13 - 1)° =   (156 - 1 )° = 155°

m∠RSU = (9x -15)° = (9 * 13 - 15)° = ( 117 - 15)° = 102°

4 0
3 years ago
Can someone explain how to graph this
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The domain is the input or x value in the coordinate and the range is the output or y value of the coordinate.
7 0
4 years ago
Joaquin used two types of flour in a muffin recipe. How much flour did he use in all? 1 and 1/2+1 and 2/3
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3 and 1/6 or 3.16 repeating
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