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2 years ago

Which graph represents the inequality y>3−x?

Mathematics

1 answer:

nekit [7.7K]2 years ago

4 0

Answer:

Step-by-step explanation:

The first step is to draw the line y = 3 - x to see what the line itself looks like. Is it going from left to right as in A and C is going up as you go from right to left as in B and D? The graph on the left (below) gives you the answer. It is going up as you progress from right to left.

The next step is to answer which is it: B or D.

y has to be above the line. it is B. See the graph below on the right.

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"D" size batteries produced by MNM Corporation have had a life expectancy of 87 hours. Because of an improved production process

9966 [12]

Answer:

As p-value = 0.0.68 > 0.05 the null hypothesis could not be rejected

Step-by-step explanation:

The computation of the p-value is shown below:

Given that

Average life = $\bar x$ = 88.5

Standard deviation = $\sigma$ = 9

Sample = n = 80

Based on the above information

Null and alternative hypothesis is

$H_o : u = 87\\\\H_a : u > 87$

Now for the level of significance $\alpha$ = 0.05 and the critical value for a right talied test is $z_c = 1.64$

Now the test statistic is

$z = \frac{\bar x - u_o}{\sigma/\sqrt{n} }\\\\= \frac{88.5-87}{9/\sqrt{80} }$

= 1.491

Now it is observed that

Z = 1.49≤z_ c = 1.64

So by this the null hypothesis could not be rejected

So,

P -value = 1 - P(z<1.491)

P-value = 0.068

As p-value = 0.0.68 > 0.05 the null hypothesis could not be rejected

3 0

2 years ago

You are searching for two integers. The sum of twice the first integer and three times the second integer is nine. At the same t

devlian [24]

Answer: -3 and 5

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

Let x represent the 1st digit and y represent the 2nd digit. Then,

Eq 1: 2x + 3y = 9 → 3(2x + 3y = 9) → 6x + 9y = 27

Eq 2: 3x + 2y = 1 → -2(3x + 2y = 1) → <u>-6x - 4y = -2</u>

5y = 25

y = 5

Substitute y = 5 into either of the original equations to solve for x:

2x + 3y = 9

2x + 3(5) = 9

2x + 15 = 9

2x = -6

x = -3

Check (using the other original equation):

3x + 2y = 1

3(-3) + 2(5) = 1

-9 + 10 = 1

-1 = 1 $\checkmark$

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2 years ago

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agasfer [191]

Answer:

2ax + b + C

where C is a constant.

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1 year ago

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Viktor [21]

Answer: dividend

Step-by-step explanation:……..

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1 year ago

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Which statement is true about f(x) = -6|x+5| - 2?

Y_Kistochka [10]

Some schools do this differently, but since I don’t have any of the answer choices I’ll show you how to

Factor: -6|x+5|-2

Factor out the two

2(-3|x+5|-1)

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6 0

2 years ago