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2 years ago

Could someone explain how to solve this

Mathematics

2 answers:

ozzi2 years ago

7 0

Answer:

y=\frac{4x}{5}-5

Step-by-step explanation:

linear equation

y=mx+b

We can see that when x=0 y= -5

THis means that b= -5 so we have

y=mx-5

We then know that when x=5 y= -1 so we have

-1=5m-5

Solve this and get m= 4/5

So we have

$y=\frac{4x}{5}-5$

Pani-rosa [81]2 years ago

4 0

Answer:

f(x) = $\frac{4}{5}$ x - 5

Step-by-step explanation:

f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).

You can find the slope using the two points:

slope = $\frac{-1 - (-5)}{5 - 0}$ = $\frac{4}{5}$

Then use point-slope form to make equation:

y - (-5) = $\frac{4}{5}$ (x - 0)

y + 5 = $\frac{4}{5}$ x

y = $\frac{4}{5}$ x - 5

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The cost of 2.25

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Answer:

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Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

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3 years ago

Jon borrows $6.50 from his friends to pay for snacks , and $11.75 from his sister to go to the movies. How much money does he ne

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Answer:

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Step-by-step explanation:

5 0

3 years ago

The given line passes through the points (0, −3) and (2, 3).

Alex Ar [27]

Well, parallel lines have the same exact slope, so hmmm what's the slope of the one that runs through (0, −3) and (2, 3)?

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 0 &,& -3~) 
% (c,d)
&&(~ 2 &,& 3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-(-3)}{2-0}\implies \cfrac{3+3}{2-0}\implies 3$

so, we're really looking for a line whose slope is 3, and runs through -1, -1

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -1 &,& -1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=3[x-(-1)]
\\\\\\
y+1=3(x+1)$

8 0

3 years ago

Read 2 more answers

Evaluate-2.75 - f for f = -6.5

Stels [109]

Answer:

Step-by-step explanation:

we have f=-6.5

-2.75- (-6.5)= -2.75+6.5=3.75

4 0

2 years ago

Please help thanks so much

Umnica [9.8K]

The formula for the volume of a sphere is the following:

$V= \dfrac{4}{3} \pi r^3$

Plug in V=5000π and solve for the radius.

$5000 \pi = \dfrac{4}{3} \pi r^3$

Divide both sides by $\pi$

$5000 = \dfrac{4}{3} r^3$

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

$r^3=3750$

Take the cube root of both sides

$r \approx 15.5$

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

$S=4 \pi r^2$

Plug in r=15.5

$S \approx 3033$

The second choice is your answer.

5 0

3 years ago