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Georgia [21]
3 years ago
6

Select all that apply. The slope of the graph of a direct variation function is -3. Which of the following is true? The equation

of the function is y = -x. The point (2, -6) is on the graph of the function. The equation is y = -3x. The function is linear.
Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer:

The point (2, -6) is on the graph of the function.

The equation is y=-3x

The function is linear.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so in this problem

we have

k=-3

the equation is equal to

y=-3x

therefore

statements

case A) The equation of the function is y = -x

The statement is false

case B) The point (2, -6) is on the graph of the function.

The statement is true

Because , the ordered pair satisfy the equation

so

For x=2, y=-6

substitute

-6=-3(2)

-6=-6  ------> is true

case C) The equation is y=-3x

The statement is true

case D) The function is linear.

The statement is true

The equation represent a linear direct variation

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zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(peppers weighing between 13 and 16 pounds)

P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%

P(13 \leq x \leq 16) = 58.9\%

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0
3 years ago
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
Anvisha [2.4K]

x = 5 \: and \: y = 1.

Step-by-step explanation:

7x + 4y = 39 \:  -  {eq}^{n} (1)

2x + 4y = 14  \: \:  -  {eq}^{n} (2)

Multiply Equation no (1) with 2 and Equation no (2) with 7.

14 x + 8y = 78.

14x + 28y = 98.

( - ) \: \:  \:  ( - ) \:  \:  \: ( - )

0x +  -20y =  - 20

- 20y =  - 20

y =  \frac{ - 20}{ - 20}

y = 1

Substitute the value of "y" in Equation no (1)

7x + 4y = 39.

7x + 4(1) = 39.

7x + 4 = 39.

7x = 39 - 4

7x = 35.

x =  \frac{35}{7}

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6 0
3 years ago
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5 0
3 years ago
Solve for x: -2x - 3 &gt; 97
DENIUS [597]
To solve for x, we need to get it on one side by itself, and then to make sure we are left with ONLY x, no coefficients or anything.
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6 0
3 years ago
Matt wants to purchase a gasoline motor scooter. The gas mileage 75 miles for each 1/2 gallon of gasoline. How many miles will M
Paraphin [41]

Answer: 750 miles

Step-by-step explanation:

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First find how many miles it can go on 1 gallon of gasoline:

= 75 ÷ 1/2

= 150 miles

If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:

= 5 * 150

= 750 miles

4 0
3 years ago
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