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Maru [420]
2 years ago
11

The tables below show the values of Y for different values of X

Mathematics
1 answer:
pogonyaev2 years ago
3 0

Answer:

Option D

Step-by-step explanation:

Rate of change of a linear function between two points (x_1,y_1) and (x_2,y_2) is given by,

Rate of change 'm' = \frac{y_2-y_1}{x_2-x_1}

From the given table,

Rate of change of the function between (-2, 6) and (-4, 9),

Rate of change 'm' = \frac{9-6}{-4-(-2)}

                           m = \frac{3}{-2}

Initial value = y-intercept

Let the equation of the line passing through a point (h, k) is,

y - k = m(x - h)

If a point (-2, 6) is lying on the graph of the function,

y - 6 = -\frac{3}{2}(x+2)

y = -\frac{3}{2}x-3+6

y = -\frac{3}{2}x+3

Y-intercept of the function = 3

Therefore, initial value of the function = 3

Option D is the answer.

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Problem situation: Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade
salantis [7]

Answer:

Answer:

18 cups.

Step-by-step explanation:

We are given that Bernie spends $6.50 on ingredients and cups for his lemonade stand. He charges $1.50 for each cup of lemonade. Inequality that represents this situation: .

To find number of cups x to make a profit of at least  $20 we will use our given inequality.

Therefore, in order to make a profit of at least $20 Bernie need to sell 18 cups of lemonade.

3 0
3 years ago
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Nimfa-mama [501]
The answer is always
6 0
2 years ago
Help me please ): I'm stuck here I don't remember how to do this .----.
inessss [21]
The last number would be 86 , TRUST ME I know these stuff!!
8 0
3 years ago
A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corpor
sesenic [268]

Answer:

Null Hypothesis, H_0 : \mu = 136 mm Hg  

Alternate Hypothesis, H_A : \mu\neq 136 mm Hg

In this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.

Step-by-step explanation:

We are given that the mean systolic blood pressure, μ, of CEOs of major corporations is different from 136 mm Hg, which is the value reported in a possibly outdated journal article.

He measures the systolic blood pressures of a random sample of CEOs of major corporations and finds the mean of the sample to be 126 mm Hg and the standard deviation of the sample to be 18 mm Hg.

So, Null Hypothesis, H_0 : \mu = 136 mm Hg     {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}

Alternate Hypothesis, H_A : \mu\neq 136 mm Hg      {means that the mean systolic blood pressure, μ, of CEOs of major corporations is 136 mm Hg}

Type I error states that the null hypothesis is rejected when in fact the null hypothesis was true. So, in this context type I error is rejecting that the μ is equal to 136 mm Hg when in fact μ is equal to 136 mm Hg.

Suppose the researcher decides not to reject the null hypothesis. It means the researcher is making a type I error.

7 0
3 years ago
Determine what type of model bet fits the given situation: Every day, half a bacteria population dies. A. Linear B.quadratic C.
makvit [3.9K]

Answer:

Exponential

Step-by-step explanation:

<em>Starter:</em>

According to the title:

"Every day, half a bacteria population dies."

Exponential: y = ab^x ( b > 0 , b ≠ 1)

So the answer is C.

<em>Calculations:</em>

An exponential model is of the form y = a • b^t.

If you start with population of 500 million bacteria

t = 0

so 500 million = a • b^0 = a

Since every day half the population dies then in 1 day population will be 250 million

so a = 500 million, y = 250 million and t = 1

250 million = 500 million • b^1

b = 0.5

Therefore your equation would be

y = 500 million (or whatever the pop) • 0.5^t

Where t = number of days

This could also be written in exponential form ( e = 2.73)

4 0
2 years ago
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