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3 years ago

Need help with question 20

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

I would start by dividing by all the multipliers of the parentheses.
$\frac{PV}{nt} = r_{1} +r_{2}$
Then, I would subtract the unwanted variable from the sum.
$\frac{PV}{nt} -r_{2} = r_{1}$

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(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework? WILL MARK

Bess [88]

Assuming that $x$ is the amount of hours spent doing homework:

Plug in $3$ for $x$

$y = 8(3)+40$ , $y=64$

That means that since a $y$ value is the test score (because that's what the y-axis is labeled), your predicted test score is a 64.

8 0

2 years ago

What is an equation of the line that passes through the points (-6, -2) and

den301095 [7]

Answer:

The equation of line is: $\mathbf{4x-3y=-18}$

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?

The equation of line in slope-intercept form is: $y=mx+b$

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=-6,y_1=-2, x_2=-3, y_2=2$

Putting values and finding slope

$Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}$

So, we get slope: $m=\frac{4}{3}$

Finding y-intercept

Using point (-6,-2) and slope $m=\frac{4}{3}$ we can find y-intercept

$y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6$

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope $m=\frac{4}{3}$ and y-intercept b = 6 is

$y=mx+b\\y=\frac{4}{3}x+6$

Now transforming in fully reduced form:

$y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18$

So, the equation of line is: $\mathbf{4x-3y=-18}$

6 0

2 years ago

Please need help on this

Trava [24]

Answer:

The perimeter of a shape is the sum of the measurements of all sides. Since a rectangle have equal lengths and widths, you can just add the numbers twice.

So, 15 + 15 + 8 + 8. So the perimeter is 46 cm.

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3 years ago

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2/3 of a full rotation

Vlad [161]

A full rotation is represented by 360 degrees or 2pi radians, so

2/3 of a full rotation is repr. by (2/3)(360 deg) or (2/3)(2pi rad). (Simplify these.)

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3 years ago

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Am I right? What is the slope of a line that is perpendicular to a line whose slope is −6?

ipn [44]

Your right it’s correct

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2 years ago