Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

Mathematics

1 answer:

Tju [1.3M]2 years ago

5 0

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

You might be interested in

Find the midpoint of the line segment with the given endpoints(3, -5) and (7,9)

erastovalidia [21]

Answer:

Step-by-step explanation:

(x₁ , y₁) = (3 , -5) & (x₂, y₂) = (7 , 9)

$Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})$

$=(\frac{3+7}{2} , \frac{-5+9}{2})\\\\=(\frac{10}{2} , \frac{4}{2})\\\\=(5 , 2)$

8 0

2 years ago

1/2 (8x-2) + (-2x + 1/4)

Minchanka [31]

1/2(8x -2) + ( -2x + 1/4)

(4x -1) + (-2x + 1/4)

=

(2x - 3/4) or (2x - 0.75)

3 0

3 years ago

A grocery stores studies how long it takes customers to get through the speed check lane. They assume that if it takes more than

Lemur [1.5K]

Answer:

4.65% probability that a randomly selected customer takes more than 10 minutes

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 7.45, \sigma = 1.52$