In a direct variation equation F(x)=6 when x=4

Mathematics

1 answer:

Pie3 years ago

6 0

Answer: C. f(x)=1.5x

Step-by-step explanation:

Here's the complete question:

In a direct variation equation f(x) = 6 when x = 4. what is the direct variation equation

A-f(x)=6x

B-f(x)=4x

C-f(x)=1.5x

D-f(x)=0.67x

The direct variation equation will be:

6 = kx

When x = 4, this will be:

6 = 4k

k = 6/4

k = 1.5

Therefore, the direct variation equation is: f(x)=1.5x

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QveST [7]

Answer:

x = 0.954

Step-by-step explanation:

We apply pythagorean to find x

(4-x)² = 1.2² + 2.8²

(4-x)² = 9.28

✓(4-x)² = ✓(9.28)²

4 - x = 3.046

- x = 3.046 - 4

- x = -0.954

x = 0.954

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7 0

2 years ago

You wonder how many cars there are in your area. You call up the Ford dealership and ask how many Fords they’ve sold. They repor

SVETLANKA909090 [29]

If we take 1200 as the 100%, how much percentage is 700 of it?

well $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1200&100\\
700&x
\end{array}\implies \cfrac{1200}{700}=\cfrac{100}{x}\implies x=\cfrac{700\cdot 100}{1200}
\\\\\\
x=\cfrac{175}{3}$

so, (175/3)% or roughly 58.3%

now, how much is (175/3)% of 15000 ?
well, if we take 15000 as the 100%
then $\bf \begin{array}{ccllll}
amount&\%\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
15000&100\\
x&\frac{175}{3}
\end{array}\implies \cfrac{15000}{x}=\cfrac{100}{\frac{175}{3}}
\\\\\\
\cfrac{15000\cdot \frac{175}{3}}{100}=x\implies \cfrac{5000\cdot 175}{100}=x$