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4 years ago

7 of 10©What is the decimal multiplier to decrease by 8.4%?

Mathematics

1 answer:

tatuchka [14]4 years ago

7 0

Answer:

The decimal multiplier to decrease by 8.4% is 0.916.

Step-by-step explanation:

To increase by a%, the decimal multiplier is:

1 + (a/100)

To decrease by a%, the decial multiplier is:

1 - (a/100)

What is the decimal multiplier to decrease by 8.4%?

1 - (8.4/100) = 1 - 0.084 = 0.916

The decimal multiplier to decrease by 8.4% is 0.916.

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The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form

azamat

Answer:

$\large \boxed{y = (x - 5)^{2} + 2 }$

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

$\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}$ The figure below shows that your parabola has its vertex at (5,2).

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3 years ago

Choose a number that will produce an irrational answer when added to 7/8. PLEASE HELP ITS DUE AT MIDNIGHT.

yawa3891 [41]

Answer:

√7

Step-by-step explanation:

2/5, 0.404040 and 0.286 are all rational as they all can be expressed in fraction form (0.4040 can be expressed as 40/99 and 0.286 as 286/1000 (can simplify but I didn't)) sqrt7 is the only irrational number.

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3 years ago

How do I do this?<br> Im stuck on what to do

Nastasia [14]

CD and DE are equal distance so their equations are equal:
2x+7 = 4(x-3)
2x+7 = 4x-12
Subtract 2x from both sides
7 = 2x-12
Add 12 to both sides
19 = 2x
9.5 = x
Now that u have x just plug it into the equation for DE
4(9.5-3)
38-12
26 is the answer

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3 years ago

1/2 is less or greater than 5/4

nalin [4]

Answer:

Step-by-step explanation:

1/2 is definitely less than 5/4. Try comparing

0.5 and 1.25; 0.5 is definitely less than 1.25.

Next time, please include all of the instructions.

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3 years ago

Read 2 more answers