The population of a city for years since 2000 is shown below.

Graph the line using intercepts: 4x-3y=12

Furkat [3]

First you have to find the intercepts!

To find the y-intercept (I usually do that first), pretend x=0.
Then it becomes:
4(0)-3y=12
Which then becomes:
-3y=12.
Divide both sides, and y = -4.
Then the (x,y) coordinate would become (0, -4).

Next you would find the x-intercept, and pretend y = 0.
Which then becomes:
4x-3(0)=12
3x0 cancels out to become:
4x = 12
And x = 3 because division stuffs.
Then THIS point would then be (3,0).

So then, you would plot (0,-4) and (3,0) on a graph and connect the points! I attached a picture for reference.

hope that helped~

8 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-4, -2)(−4,−2) and (-4, -22) ?(−4,−22)? Write your answer in simpl

Anestetic [448]

The line is vertical, so the slope is infinite

Step-by-step explanation:

Given two points with coordinates $(x_1, y_1)$ and $(x_2,y_2)$ , the slope of the line passing through the two points is given by the equation

$m=\frac{y_2-y_1}{x_2-x_1}$

In this problem, the coordinates of the two points are:

$(x_1,y_1)=(-4,-2)$

and

$(x_2,y_2)=(-4,-22)$

which means:

$x_1=-4\\y_1=-2\\x_2=-4\\y_2=-22$

Substituting all these values into the equation of m, we find the slope of the line:

$m=\frac{-22-(-2)}{-4-(-4)}=\frac{-20}{0}=\infty$

The slope is infinite: this is because the line is vertical.

Learn more about slope of a line:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

7 0

3 years ago

What is half of 7 5/8 and 5 3/8

meriva

Answer:

6.5

Step-by-step explanation:

7 5/8 + 5 3/8= 13

13/2=6.5

5 0

3 years ago

Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t

hram777 [196]

Answer:

a. $\mu=15$

b. $\mu=7.8586 \ and \ \mu=22.1414$

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

$P(X=k)=C_k^n.p^k.(1-p)^{n-k}$

Let n be the number of trials, $n=100$

and p be the probability of success, $p=15\%$

The mean of a binomial distribution is the probability x sample size.

$\mu=np=100\times0.15=15$

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as: $\sigma=\sqrt npq\\q=1-p$

Therefore, $\sigma=\sqrt(100\times0.015\times0.85)=3.5707$

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

$sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414$

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c. $x=45$ is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

4 0

3 years ago

Mia can run at a rate of 360 feet per minute. Approximately how many minutes would she take to run a 500-yard stretch of road an

tankabanditka [31]

Step-by-step explanation:

since we know, she can run 360 ft per minute, and we want to know how many minutes she would need to run 500 yards we need to find out how often 360 ft fit into 500 yards.

so,

500 yards / 360 ft

how can we make this division ?

help is given to us by taking us that 1 yard = 3 ft.

aha !

so, 500 yards = 500×3 ft = 1500 ft

therefore, our task now looks like

1500 ft / 360 ft

and this we understand and can do, right ?

1500 / 360 = 150/36 = 75/18 = 4 3/18 = 4 1/6 minutes

the closest answer option is therefore 4.2, meaning she would take about 4.2 minutes to run 500 yards.

7 0

2 years ago