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3 years ago

Which of the following represents the graph of the equation y = -2x + 1?

Mathematics

2 answers:

STALIN [3.7K]3 years ago

5 0

Answer:

Graph D

Step-by-step explanation:

<u>For graph A)</u>

Equation would be: y = 2x + 1

<u>For graph B)</u>

Equation would be: y = 2x - 1

<u>For graph C)</u>

Equation would be: y = -2x - 1

<u>For graph D)</u>

Equation would be: y = -2x + 1

Hope this helps!

Vitek1552 [10]3 years ago

4 0

answer : D

steps :

graph the line using the slope and y-intercept, or two points.

slope: −2 (down 2, right 1)

y-intercept: (0,1) (where the line intercepts the y axis)

your points for your line:

$\left[\begin{array}{ccc}x&y\\0&1\\1&-1\end{array}\right]$

solution : the graph in answer D.

hope this helps !

- audrey ♡

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3 years ago

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3 years ago

PLZ HELP! A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a tr

Kruka [31]

Answer:

3.8

Step-by-step explanation:

A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains.

If a trip of 300 miles took 3 hour and 48 minutes, how much of it was through the mountains?

Let d = distance traveled at 37.5 (thru the mountains)

then

(300-d) = distance traveled at 90 mph

Write a time equation, time = dist/speed

change 3 hr 48 min to hrs: 3 + 48/60 = 3.8 hrs

plain time + mountain time = 3.8 hrs

%28300-d%29%2F90 + d%2F37.5 = 3.8

Multiply 90*37.5

3375*%28300-d%29%2F90 + 3375*d%2F37.5 = 3.8(3375)

cancel the denominator

37.5(300-d) + 90d = 12825

11250 - 37.5d + 90d = 12825

52.5d = 1575

d = 1575/52.5

d = 30 mi thru the mountains

Check this, find the distance on the plain

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Find the actual time at each speed

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-----------------

total time: 3.8 hrs

7 0

3 years ago

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

3 years ago