If y = x3 + 3x2 + 5, what is dy/dx A. 3x2 + 6x + 5 B. 6x2 C. 6x2 D. 3x2 + 6x
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The statement that are true about the dilation are:
A. M'N' is 18 units.
D. The dilation is an enlargement.
F. Scale factor is 3.
<h3>What is Dilation?</h3>Given that rectangle LMNP is dilated using the rule Dp.3, it means that rectangle LMNN is enlarged times 3 to get rectangle L'M'N'P'.
This means that the scale factor is 3.
We would have the following:
M'N' = 6 × 3 = 18 units.
Therefore, the statements that are true are:
A. M'N' is 18 units.
D. The dilation is an enlargement.
F. Scale factor is 3.
Learn more about dilation on:
#SPJ1
Answer:
Step-by-step explanation:
From the problem we know that 12% of Lisa's original weight is 21 pounds. Let's call Lisa's original weight x and rewrite what we know from the question in terms of x.
We can convert 12% into a decimal - 0.12. We can also recognize that the word "of" used in a word problem often means you need to multiply. So, we can multiply 0.12 by x because we know 12% of Lisa's original weight.
0.12x = 21
To solve this equation, we need to isolate x, so we can divide both sides by 0.12.
x = 175. ==> Lisa's original weight was 175 pounds.
If you don't have a calculator or would like to learn another way to solve this problem, you can use proportions.
We know that 12% of x is 12, so what is 100% of x? (this is another way to rewrite the question)
We can contine to rewrite this by writing
We can write this because we know that the ration of 12% to 21 pounds is going to be the same ratio of 100% to Lisa's entire body weight.
We can multiple by both sides of the equation by , which is equal to 1 so it won't change the value of the equation, to remove the denominators. Then, we'll end up with:
12x = 100*21
12x = 2100
x = 175