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Drupady [299]
3 years ago
11

Which equation would give the perimeter of a rectangle if the length is 12 inches ans the width is 7 inches?

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0
12 + 12 + 7 + 7

I hope this helps, have a good day/night
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5-b=1<br> Solve the equation
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Answer:

b=4

Step-by-step explanation:

if the answer is 1, than subtract the number from five that equals 1, in this case, 4

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Identify the maximum value of the function y = -472 - 24x + -36.
Gnesinka [82]

Answer:

I assume that this is a quadratic equation, something like:

y = -47*x^2 - 24x + (-36)

we can rewrite it as:

y = -47x^2 - 24x - 36

Ok, this is a quadratic equation and we want to find the maximum value.

First, you can notice that the leading coefficient is negative.

This means that the arms of the graph will open downwards.

Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.

Remember that for a general function

y = a*x^2 + b*x + c

the vertex is at:

x = -b/2a

So, in our case:

y = -47x^2 - 24x - 36

The vertex will be at:

x = -(-24)/(2*-47) = -12/47

So we just need to evaluate the function in this to find the maximum value.

Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)

y = -47*(-12/47)^2 - 24*(-12/47) - 36

y = -32.94

That is the maximum value of the function, -32.94

8 0
3 years ago
A bottler of drinking water fills plastic bottles with a mean volume of 1001 milliliters (ml) and standard deviation of 6 ml. th
Alex73 [517]

The formula for z-score is:

z-score = (X – μ) / σ

where,

X = sample

μ = mean = 1001

σ = standard deviation = 6

Since we are looking for volumes less than 1001 mL, let us use 1000.5 mL for X.

z-score = (1000.5 – 1001) / 6

z-score = -0.083

Referring to the standard distribution table for z-test, this corresponds to:

p = 0.4681

<span>So 46.81% of the bottles are less than 1001 mL.</span>

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4 years ago
For the graphed exponential equation, calculate the average rate of change from x = 1 to x = 4.
zhenek [66]

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b  

Step-by-step explanation:

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3 years ago
What polynomial should be subtracted from the polynomial y2–5y+1 to get the difference equal to 5
VMariaS [17]

Answer: The polynomial

= y² - 5y - 4.

Step-by-step explanation:

Let the polynomial = f(y)

Therefore

y² -5y + 1 - f(y) = 5

f(y) = y² - 5y + 1 - 5

f(y) = y² - 5y - 4

The polynomial = y² - 5y - 4.

Check:

y² - 5y + 1 - ( y² - 5y - 4)

Open the bracket with the minus

y² - 5y + 1 - y² + 5y + 4

y² - y² - 5y + 5y + 1 + 4

= 0 - 0 + 5

= 5.

3 0
3 years ago
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