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3 years ago

Is (-3,-9) a solution of the equation y = 3x ? O YES O NO O NOT A SOLUTION

Mathematics

1 answer:

melomori [17]3 years ago

4 0

Answer:

Yes, (-3, -9) is a solution.

Step-by-step explanation:

y = 3x (-3,-9)

-9 = 3(-3)

-9 = -9

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A company offers four plans for customers who want to rent DVDs and video games. The cost of the plans can be modeled by a linea

Luba_88 [7]

To solve this, we are going to use the slope formula, and the point slope formula.
Slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
where
$m$ is the slope.
$(x_{1},y_{1})$ are the coordinates of the first point.
$(x_{2},y_{2})$ are the coordinates of the first point.
Point-slope formula: $y-y_{1}=m(x-x_{1})$

Plan A. Coordinates of the first point: (1,14) (number of discs, cost). Coordinates of the second point: (2,17). Lets replace those values in our slope formula:
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{17-14}{2-1}$
$m=3$
Now that we have the slope, we can use the point slope formula:
$y-y_{1}=m(x-x_{1})$
$y-14=3(x-1)$
$y-14=3x-3$
$y=3x+11$
Remember that in a linear equation of the form $y=mx+b$ , $m$ is the slope and $b$ is the y-intercept. In our model the y-intercept is the membership fee.
Since $b=11$ in our linear equation, we can conclude that the membership fee is $11

Plan B. Coordinates of the first point (1,12). Coordinates of the second point (2,16).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{16-12}{2-1}$
$m=4$
$y-y_{1}=m(x-x_{1})$
$y-12=4(x-1)$
$y-12=4x-4$
$y=4x+8$
Membership fee: $8

Plan C. Coordinates of the first point: (1,10). Coordinates of the second point: (2,15).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{15-10}{2-1}$
$m=5$
$y-y_{1}=m(x-x_{1})$
$y-10=5(x-1)$
$y-10=5x-5$
$y=5x+5$
Membership fee: $5

Part D. Coordinates of the first point: (1,12). Coordinates of the second point (2,21).
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$m= \frac{21-12}{2-1}$
$m=9$
$y-y_{1}=m(x-x_{1})$
$y-12=9(x-1)$
$y-12=9x-9$
$y=9x+3$
Membership fee: $3

We can conclude that the plan that has the smallest one-time membership is <span>Plan D.</span>

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3 years ago

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What is 1.024242424 as a fraction

Oxana [17]

It should be 42/41 is the closest

5 0

3 years ago

21×9=9×21 what property is used

kvv77 [185]

Hello There =)

Commutative property is used. The commutative property <span>states that two numbers can be multiplied in either order.</span>

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3 years ago

What is the benchmark fraction of 7/10 x 16

Tomtit [17]

Lets change "16" by its to 16/1 .. since nothing can't help support 16 by itself when it is going into 7/10

Now that we change that ... your problem becomes 7/10 × 16/1

7/10 × 16/1 = 11 1/5

Because
7(16) / 10(1) = 112/10
Now lets go. to how we solve the for the answer

112/10 = 11 1/5

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3 years ago

V1/V2=T1/T2. Solve for V1

Ahat [919]

V1=(T1/T2)*V2
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