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Svet_ta [14]
3 years ago
13

Write the equation 12 − y = 2x − 5 in slope-intercept form. What are the slope and y-intercept? A. y=2x−17,m=2, y-intercept (0,−

17) B. y−12=−2(x+52),m=−2, y-intercept (0,−12) C. y=−16x+512,m=−16, y-intercept (0,512) D. y=−2x+17,m=−2, y-intercept (0,17)
Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

Answer:

D

Step-by-step explanation:

12-y=2x-5

+5        +5  ( add 5 to both sides)

17-y=2x

-17    -17  (Subtract 17 to get y by itself)

-y=2x-17

divide by -1 because y cant be negative

y=-2x+17

m=-2 and y-intercept= 17

I hope thats right :)  

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A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then
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Answer:

B. 80 cm of chain weighs 2 kg.

Step-by-step explanation:

In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.

It is easier to divide the larger number by the smaller and that is what we will show here (although <em>you can do as you wish and still get the same result</em> - it's math!):

320 ÷ 8 = 40

The result we got is 40. This means that <u>the length of the chain is equal to the value of forty of its weights!</u> And this will be the operation we will perform in order to determine the right answer:

A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.

B) Does 2 (kg) multiplied by 40 equal 80 (cm)? <u>Yes, this answer is correct!</u>

Just in case, we will perform this action with the rest of the possible choices:

C) 4 kg × 40 = 160 and NOT 80 cm.

D) 2 kg × 40 = 80 and NOT 160 cm.

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If Sarah drives a total distances of 455 miles and at a constant speed of 65, how many hours does Sarah drive?
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Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

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<u>Part B</u>

P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767

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