What is the equation in point-slope form of the line that passes through the point (-1, -4) And has a slope of -3?

What is the product of (4a-6)(3a-8)

shusha [124]

use FOIL (first, outside, inside last)

4a * 3a = 12a²

4a * -8 = -32a

-6 * 3a = -18a

-6 * -8 = 48

-12a² - 32a - 18a + 48

combine like-terms: -12a² -50a + 48

8 0

3 years ago

Ms. Hernandez has $150.00 to spend on parking and admissions to the zoo. The parking will cost $15.00 and admission tickets will

defon

give brainleist

The answer is Ms Hernandez can bring up to 6 people to the zoo.

x - the number of people that she can bring to the zoo

The parking will cost $7: a = 7

Admission tickets will cost $15.50 per person: b = 15.50x

She can spend on parking and admission tickets $100:

a + b ≤ 100

a = 7

b = 15.50x

7 + 15.50x ≤ 100

15.50x ≤ 100 - 7

15.50x ≤ 93

x ≤ 93 / 15.50

x ≤ 6

8 0

3 years ago

Read 2 more answers

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &

max2010maxim [7]

The another way of writing inequality is x > 64 and x < 68

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

As the actor has to be taller than 64 inches, and less than 68 inches.

and we use greater than or less than signs and not greater than or equal to or less than or equal to show the inequality.

hence, x > 64 and x < 68.

Learn more about this concept here:

brainly.com/question/1674182

#SPJ1

7 0

2 years ago

Maths!

Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

X $X-\bar X$ $(X-\bar X)^{2}$

5 5 - 8 = -3 9

8 8 - 8 = 0 0

10 10 - 8 = 2 4

9 9 - 8 = 1 1

6 6 - 8 = -2 4

Total 72 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{72}{9}$ = 8

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

X $X-\bar X$ $(X-\bar X)^{2}$

7 7 - 10 = -3 9

10 10 - 10 = 0 0

12 12 - 10 = 2 4

11 11 - 10 = 1 1

8 8 - 10 = -2 4

Total 90 36

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{90}{9}$ = 10

(1)Now, the variance of the given data is;

Variance = $\frac{\sum (X-\bar X)^{2} }{n-1}$

= $\frac{36}{9-1}$ = 4.5

So, the new standard deviation, (S.D.) = $\sqrt{\text{Variance}}$

= $\sqrt{4.5}$ = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly is that it remains unchanged as we see in the case of variance or standard deviation.

4 0

3 years ago

A textbook store sold a combined total of 289 sociology and math textbooks in a week. The number of math textbooks sold was 65 l

erica [24]

Answer:

Contradictrion

Step-by-step explanation:

First write an equation. If the total is 289, then that goes one the right side of the =. Sociology textbooks will be x. If there were 65 less than x, it will be 65-x. Lets set it up:

x + 65 -x =289

Then combine like terms.

65 = 289

There are no values of x that make the equation true. The input is a contradiction.

<h2>NO ANSWER</h2>

8 0

3 years ago