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2 years ago

4y = 5x is this a direct variation?

Mathematics

1 answer:

Alenkasestr [34]2 years ago

3 0

Answer:

5/4

Step-by-step explanation:

4y = 5x Divide by 4

y = (5/4) x

To make y = kx from y = (5/4) x

k must be (5/4)

k = 5/4

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Irina-Kira [14]

9514 1404 393

Answer:

k = -1

Step-by-step explanation:

Put the given value of x in the equation, and solve the resulting equation for k.

2(5 -3) +k(1 +2·5) = k - 5 - 1

2(2) +k(11) = k -6 . . . . simplify a bit

10k = -10 . . . . . . . . . . add -4-k to both sides

k = -1 . . . . . . . . . . . . . divide by 10

The value of k is -1.

_____

<em>Check</em>

Use k = -1 in the original equation and solve for x.

2(x -3) -(1 +2x) = -1 -x -1

2x -6 -1 -2x = -x -2 . . . . eliminate parentheses

x = 7 -2 = 5 . . . . . . add x+7; answer checks OK

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3 years ago

If f(x)=x+7 and g(x)=1/x-13, what is the domain of (f0g)(x)?

aev [14]

Answer:

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Who started the problem correctly? The problem form is (-5) - (-1 3/4).

Veronika [31]

Answer:

Shane started the problem correctly

Step-by-step explanation:

We are given problem (-5) - (-1 3/4).

Mariah started the problem as (-5) + 1 - 3/4

Shane started the problem as (-5) + 1 + 3/4

We need to find who started the problem correctly.

The problem should be started by converting the mixed fraction into improper fraction i,e

$-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})$

Now we will solve bracket by multiplying -1 with term inside the bracket i.e

$=-5+\frac{7}{4}$

$= \frac{-13}{4}$

Let's compare both the procedures now:

Mariah:

$(-5) + 1 - \frac{3}{4}$

$=(-5) - \frac{1}{4}$

$=\frac{-21}{4}$

Therefore, Mariah did not start the problem correctly.

Shane:

$(-5) + 1 + \frac{3}{4}$

$= -5 + \frac{7}{4}$

$= \frac{-13}{4}$

Therefore, Shane started the problem correctly.

6 0

2 years ago

Which measurement is equal to 6 kilograms?

lidiya [134]

Answer:

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2 years ago