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2 years ago

2. If y varies inversely as x and y=0.8 when x = 1.8, find y when x = 4.8.

Mathematics

1 answer:

Aleks04 [339]2 years ago

8 0

Answer:

y=2.13

Step-by-step explanation:

cross multiply

0.8/1.8=y/4.8

4.8*0.8/1.8

3.84/1.8

y=2.13

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In order to solve the system of linear equations, the coefficients of one of the variables must be the same number but opposite

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Answer:

Step-by-step explanation:

because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number so that there will be at least one variable with the same number but with opposite signs.

it does not matter which variable you choose.

lets use y because 2 and 3 are smaller then 2 and 5.

so lets multiply the first equation by 2 in order to get y equal to 6.

2(2x)+2(3y)=(2)6

(do not forget to multiply what the equation is equal to also)

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now for the second equation we need y to equal negative 6

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now lets put the 2 new equations next to each other and see what we can cancel out

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now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.

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What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
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And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

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