5. A line crosses through the points (0, 2) and
(-10, - 16). Which of the following is the slope
of the line?

what do you need help with

Answer:

Sure

Step-by-step explanation:

Answer:

[tex]f(6) = f(-6)[/tex] --- True

[tex]f(6)=2 * f(3)[/tex] --- False

Step-by-step explanation:

Given

[tex]f(x) = \frac{x^2}{3} - 2[/tex]

Solving (a): f(6) = f(-6)

First, we solve for f(6) by substituting 6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(6) = \frac{6^2}{3} - 2[/tex]

[tex]f(6) = \frac{36}{3} - 2[/tex]

[tex]f(6) = 12 - 2[/tex]

[tex]f(6) = 10[/tex]

Next, we solve for f(-6) by substituting -6 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(-6) = \frac{-6^2}{3} - 2[/tex]

[tex]f(-6) = \frac{36}{3} - 2[/tex]

[tex]f(-6) = 12 - 2[/tex]

[tex]f(-6) = 10[/tex]

We have that:

[tex]f(6) = f(-6) = 10[/tex]

Hence, the statement is true

Solving (b): [tex]f(6)=2 * f(3)[/tex]

We have that:

[tex]f(6) = 10[/tex]

Next, we solve for f(3) by substituting 3 for x in [tex]f(x) = \frac{x^2}{3} - 2[/tex]

[tex]f(3) = \frac{3^2}{3} - 2[/tex]

[tex]f(3) = \frac{9}{3} - 2[/tex]

[tex]f(3) = 3 - 2[/tex]

[tex]f(3) = 1[/tex]

[tex]2 * f(3) = 2 * 1[/tex]

[tex]2 * f(3) = 2[/tex]

So:

[tex]f(6)=2 * f(3)[/tex]

[tex]10 \neq 2[/tex]

Hence, the statement is false

Answer:

59/6

Step-by-step explanation:

9x6=54

54+5= 59

put the denominator of the fraction to the denominator to the new fraction. I hope this helps.

Answer:

a. 45 ounces

b. 27 ounces

c. 4.5x ounces

Step-by-step explanation:

a. 4.5(10) = 45

b. 4.5(6) = 27

c. 4.5(x) = 4.5x

Answer:

x = 43

Step-by-step explanation:

since the line is parallel, there are a few relationships that goes on in between the parallel lines with the angles formed by the third line (the third line is known as a transversal)

the two angles shown are same side interior angles because they are on the same side of the transversal and on the inside of the parallel lines

same side interior angles always add up to 180 since, if you put them together, they would form a straight angle

so we can set the equation to x + 27 + x + 67 = 180

add like terms: 2x + 94 = 180

subtract 94 from 180: 2x = 86

divide both sides by 2: x = 43

Answer:

the words are not that clear

Answer:

The answer is 972π cubic inches.

Answer:

972

Step-by-step explanation:

Answer:

B. $600

Step-by-step explanation:

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

Step-by-step explanation:

Answer:

The X intercept is 2, the Y intercept is -4

Step-by-step explanation:

Look at the graph, the Y-intercept is the point where the red line intersects the Y-axis.  The X intercept is where the red line intersects the X axis.

Y-axis is vertical (top to bottom)

X-axis is horizontal (side to side/left to right/right to left)

Answer:

I can help what do you need.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is the only case where only a simple a addition must be made.

Answer:

true

Step-by-step explanation:

Answer:

I would recheck the answer

Step-by-step explanation:

there is my opinion :)

Answer:

i got (5,-1)

Step-by-step explanation:

which obviously is not an option but that should be it if I read the question right. it was 5x+y=24 and x+y=4, right?

Answer:

(-2,12)

Step-by-step explanation:

just did the test

Answer:

Step-by-step explanation:

            5t      -4

4t.       20t².   -16t

5.        25t.     -20

multiply numbers with numbers and variables with variables

Answer:

The first term is:

Step-by-step explanation:

The arithmetic sequence is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

where

[tex]a_1[/tex] is the first term

[tex]d[/tex] is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. [tex]a_{17}=51[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_{17}=a_1+\left(17-1\right)d[/tex]        

[tex]51=a_1+\left(17-1\right)7[/tex]         ∵ [tex]n = 17[/tex], [tex]a_{17}=51[/tex] , [tex]d=7[/tex]

[tex]a_1+112=51[/tex]                   ∵ [tex]\left(17-1\right)\cdot \:\:7=112[/tex]

[tex]a_1=-61[/tex]

Therefore, the first term is:

Answer:

P = - 7

Step-by-step explanation:

To solve we must put all the literals (letters) on one side of the operation and all the free numbers on the other. To do this we are going to do the same operations on both sides of the equal sign

- 15 - 3p = 6

So, we are going to add 15 on both sides

- 15 - 3p + 15 = 6 + 15

- 3p = 21

We are goint to divide everything by -3

-3p/-3 = 21/-3

It result:

We check as follows:

We are going to replace the unknown (p) by the value we gave it already (-7)

-15 - 3(-7) = 6

-3 × -7 = +21

-15 + 21 = 6

6 = 6

we have the correct result

Answer:

3

hope this helps

Answer:

3

Step-by-step explanation:

A negative plus a positive adds closer to zero, so negative five plus twelve is seven. A positive minus a positive is going closer towards zero, so there.

So, your answer is three!

Answer:

The least common multiple (LCM) of two numbers is the smallest number (excluding zero) that is a multiple of both of the numbers. ... The greatest common factor of two (or more) numbers is the product of all the prime factors the numbers have in common.

Answer:

3/2 - 4 = y

Step-by-step explanation:

2y - 3x = -8 original problem

2y -3x + 8 = 0 addition property of equality

-3x + 8 = -2y subtraction property of equality

3/2x - 4 = y division property of equality

Answer:

x = 33

Step-by-step explanation:

(33) + (3 · 33) + (33+15) = 180

Answer:

I=69 t=207 h=84

Step-by-step explanation:

X+3x+(x+15)=360

Combine like terms

5x+15=360

Subtract 15 from both sides

5x=360-15

5x=345

Divide by 5

X=69

Answer:

After putting the 10% down or $20,000, you will need a loan for $180,000. What interest rate do you have for the 30 years?

Answer:

it is b

Step-by-step explanation:

It’s 16 cause 8x2=16

Answer:

16

Step-by-step explanation:

Multiply 8x2 and then you will get 16.

did you mean to type "bike"? not? bick?

Answer:

1,2,3,6,9

Step-by-step explanation:

Got it right