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Irina-Kira [14]
3 years ago
7

Which of the following best describes the equation below?

Mathematics
1 answer:
alexdok [17]3 years ago
8 0

Answer:

Both linear and nonlinear

Step-by-step explanation:

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What is the equation of the following line written in slope-intercept form -2/3 and -1/-4? y = -11x - 7 y = -7x + 11 y = -7x - 1
Snowcat [4.5K]

Answer:

y=-7x-11

Step-by-step explanation:

Given:

The two points on the line are (-2,3) and (-1,-4).

The slope of the line joining two points (x_{1},y_{1}) and (x_{2},y_{2}) is given as:

Slope,m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here, x_{1}=-2,y_{1}=3,x_{2}=-1,y_{2}=-4

∴ m=\frac{-3-4}{-1-(-2)}=\frac{-7}{-1+2}=\frac{-7}{1}=-7

Equation of line with a point (x_{1},y_{1}) and slope m is given as:

y-y_{1}=m(x-x_{1})

Plug in -2 for x_{1}, 3 for y_{1} and -7 for m. This gives,

y-3=-7(x-(-2))\\y-3=-7(x+2)\\y-3=-7x-(7\times 2)\\y-3=-7x-14\\y=-7x-14+3\\y=-7x-11

Therefore, the equation of the line in vertex form is y=-7x-11.

4 0
3 years ago
Yo i need help wit 17 and 18 i’ll give u a brainliest you please
cricket20 [7]

Answer:

17. See below

18. 750

Step-by-step explanation:

17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.

18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:

y=0.5x+125

Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:

500=0.5x+125

500-125=0.5x

375=0.5x

\frac{375}{0.5} =x

375*2=x

750=x

Thus, 750 lollipops must be sold.

3 0
3 years ago
HELP PLEASE<br> Find 33/4 x 21/3. All answers must be in lowest terms
eimsori [14]

\frac{231}{4} ✅

<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:

\frac{33}{4}  \times  \frac{21}{3} \\  =   \frac{11 \times 21}{4}  \\  =  \frac{231}{4}

<u>Note</u>:-

  • A fraction is said to be written in its lowest form if its numerator and denominator are prime, that is, they have no common factors other than 1.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

6 0
2 years ago
Find two numbers whose sum is 64 and whose difference is 42
vovangra [49]
These numbers are  "a"  and "b".  
Sum is 64,  so  a+b=64
Difference  is 42  so  a-b=42
So you've got:
+\begin{cases} a+b=64 \\ a-b=42\end{cases} \\ \overline{, \quad2a \quad \ = \ 106} \qquad /:2 \\ a=53
When a+b=64 and a=53  you've got:
53+b=64
b=11

So these numbers is 53 and 11. 

4 0
3 years ago
What do you notice about the surface area and volume for each individual shape versus the surface area and volume for the compos
Rashid [163]

Answer:

Suppose that we have two cubes where the side lenghts are L.

The volume of each cube is L^3

The surface of each cube is 6*L^2.

Now, if we add them we have:

Area of both cubes = 2*L^3

Surface of both cubes = 2*6*L^2 = 12*L^2

Now, suppose now that we have a composite shape with the two cubes,

The dimensions of this figure is lenght = L, height = L widht = 2L

Then the volume of the composite shape is L*L*2L = 2L^3

you can see that the volume does not change.

The surface is: 2*(2L*L + 2L*L + L*L) = = 10L^2

So the surface does change: why this happens?

This happens because when we do a composite shape, some surface of both figures is "absorbed" when we put the figures togheter (in this case one face of each cube is being absorved by the composite shape)

So, in conclusion:

Volume is invariant and surface depends on how we do the composite shape.

8 0
3 years ago
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