Which of the following represents the solution to the inequality

The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,

ollegr [7]

Answer:

$y = - 4x - 42$

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

$- 3y + 4x = 9 \\ or \\ - 3y = - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\ \: is \: - 4$

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

$y = 6 \: \: \: x = - 12 \: \: \: slope = - 4$

Therefore the equation of the line is:

$y = mx + c \\ 6= ( - 4)( - 12) + c \\ 6 = 48 + c \\ 6 - 48 = c \\ - 42 = c$

$y = mx + c \\ y = - 4x - 42$

3 0

2 years ago

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2, use the given sample sizes and numb

11Alexandr11 [23.1K]

Since the data is insufficient. Let us denote that n1 = 100, n2 = 100X1 = 38. X2 = 40
So looking for the p value:
p = (38+ 40) / (100 + 100) = 0.39
z = (38/100 - 40/100)/√ (0.39*(1-0.39)*(1/100 + 1/100))= -0.2899
P-value = P (|z| > 0.2899) = 0.7718

7 0

2 years ago

Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Ludmilka [50]

A line segment can be divided into ratios.

The coordinate of P on line segment AB is (5,1)

Given

$A = (-3,-5)$

$B = (9,4)$

The position of P from A to B is:

$P_A = \frac 23$

So, from P to B would be:

$P_B =1 - \frac 23$

$P_B = \frac 13$

So, the ratio is:

$m : n = \frac 23 : \frac 13$

Simplify

$m : n = 2 :1$

The coordinate of point P is:

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})$

$P = (\frac{15}{3},\frac{3}{3})$

$P = (5,1)$

Hence, the coordinate of P is (5,1)

Read more about line ratios at:

brainly.com/question/8847082

8 0

2 years ago

The population of city is 2500 if the number of males is 240 more than females how many males and females are there in the city?

Blizzard [7]

There are 1130 females. There are 1370 males. What I did was take 2500 and subtracted 240 from it. I got 2260 and then divided that number by 2 and got the number of females. Then I took that number and added 240 to it and got the number of males.

5 0

3 years ago

Q5: The probability that event A occurs is 5/7 and the probability that event B occurs is 2/3 . If A and B are independent event

bekas [8.4K]

Answer:

$P(A \cap B)$