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3 years ago

11

The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?

1 answer:

frosja888 [35]3 years ago

8 0

Y=(kx)/z

15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

x=20
z=6
y=(6*20)/6
y=20

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A car traveling at 35mph follows a/an ____________ pattern.

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Answer:

C. Exponential

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2 years ago

What does (d+3) represent in 4.5(d+3)=45

Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

<u>Step 1: Distribute</u>

$4.5(d + 3) = 45$

$(4.5 * d) + (4.5 * 3) = 45$

$4.5d + 13.5 = 45$

<u>Step 2: Subtract 13.5 from both sides</u>

$4.5d + 13.5 - 13.5 = 45 - 13.5$

$4.5d = 31.5$

<u>Step 3: Divide both sides by 4.5</u>

$\frac{4.5d}{4.5} = \frac{31.5}{4.5}$

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<u>Step 4: Determine what (d+3) is</u>

$(d + 3)$

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Answer: (d + 3) would be 10

3 0

2 years ago

Read 2 more answers

If n represents a number then write an expression for two less than one fourth of n

Ne4ueva [31]

Answer: $\frac{1}{4}n-2$

This is the same as $\frac{n}{4} - 2$ and it is also equivalent to $0.25n-2$

=====================================================

Explanation:

n is some placeholder for a number

one fourth of that number is $\frac{1}{4}n$ which is the same as $\frac{n}{4}$ or $0.25n$ since 1/4 = 0.25

From here, we subtract off 2 to get $\frac{1}{4}n-2$ as one possible final answer.

7 0

3 years ago

Please help answer this

yuradex [85]

I think you can use cosine rule if only the lines that form the <52 are equal.

6 0

2 years ago

The question is:

saul85 [17]

$f(x) = \sqrt{x+1} \\ y = \sqrt{x+1} \ or \ y^2 = x+1 \ or \ x = y^2 - 1 \\ Therefore, \ f^{-1}(x)=x^2 - 1$

$(fof^{-1})(a) = f(f^{-1}(a))=f(a^2-1) \\ =\sqrt{a^2-1+1}=\sqrt{a^2}=a \\ \\ (f^{-1}of)(a)=f^{-1}(f(a))=f^{-1}(\sqrt{a+1})= \\ (\sqrt{a+1})^2-1 = a+1-1 = a$

Therefore, $(fof^{-1})(a) = (f^{-1}of)(a) = a$

8 0

2 years ago