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MaRussiya [10]
3 years ago
6

Use the coordinates of the labeled point to find a point-slope equation of the line​

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

B. y + 2 = -2(x - 4)

Step-by-step explanation:

First, find the slope (m) of the line using two points in the line, (3, 0) and (4, -2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 0}{4 - 3} = \frac{-2}{1} = -2

Slope (m) = -2.

Next, substitute (a, b) = (4, -2) and m = -2 into y - b = m(x - a)

Thus:

y - (-2) = -2(x - 4)

y + 2 = -2(x - 4)

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Let f(x) = 6x - 5 and g(x) = 8x, for x E R.<br> Write down g(2).<br><br> Find (fog)(x)
ziro4ka [17]

Answer:

48x -5

Step-by-step explanation:

(fog)(x) = f(g(x)) = 6(8x)-5 =48-5

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2 years ago
Which of the following linear systems has a solution <br> (5,0)<br> SOMEONE PLS HELPPP
Korvikt [17]

Answer:

D

Step-by-step explanation:

out of the choices

A) 2x-y=-2

3x+2y=-10

B) x+4y=3

2x+5y=3

C) 2x+3y=5

x-4y=-14

D) 3x+4y=15

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only the system in D has a solution of x=5 and y=0

solve by substitution x+y=5 so x=5-y

plug into the other equation so 3(5-y)+4y=15

distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms

so y=0 then put that value back into the other equation

so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)

Hope this helps! :)

3 0
2 years ago
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Solve Inequality <br> -14x &gt; -112
den301095 [7]

Answer:

x <8

Step-by-step explanation:

-14x > -112

Divide each side by -14.  Remember that flips the inequality

-14x/-14 < -112/-14

x <8

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Simplify the expression
skelet666 [1.2K]
This is the expression simplified:
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A playstation 5 is $900 and costs $50 per game. A xbox is $400 and costs $60 per game. How many games will it take for both cons
belka [17]

Answer:

It would take a PlayStation 5 and 2 games to equal an Xbox and 10 games.

Step-by-step explanation:

I made a list that increase in the increments of the game price.

Something like this:

900—400~consoles alone

950—460~1 game

1000–520~2 games

1050—580~3 games

1100—640~4 games

1150—700~5 games

1200—760~6 games

1250—820~7 games

1300—880~8 games

1350—940~9 games

1400—1000~10 games

Left side is PlayStation 5 and right side is Xbox. The first row is the price of the consoles alone and then each row after that is the price of the console with an additional game. As you can see, the third row down on the left, the PlayStation 5 with 2 games is $1,000. If you look at the eleventh row on the right, you can see that Xbox with 10 games is also $1,000

3 0
2 years ago
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