Answer:
D. y = –2x – 7
Step-by-step explanation:
First, find the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>]:
-y₁ + y₂\-x₁ + x₂ = m

In this case, the y-intercept of [0, -7] is ALREADY given to you, so we would not have to go further in this case.
I am joyous to assist you anytime.
Question 3:
If the diver is being pulled up at 25 feet every minute, in 10 minutes they would have been pulled up 10 times that
10*25=250
The diver is now 200 feet below, but 10 minutes ago they would have been 250 feet deeper so:
200+250=450
450 feet
Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as
and we have to find the extraneous solution of the equation.
Now,
............. (1)
⇒ 
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,

Again, putting x = 7 in the equation (1) we get,

Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)
Answer:
The rule of the translation is (x,y) -----> (x+3,y-3)
The translation is 3 units at right and 3 units down
Step-by-step explanation:
we have that
The translation of point B to point B' is
B(-6,1) -----> B'(-3,-2)
so
(x,y) -----> (x+a,y+b)
B(-6,1) ----> (-6+a,1+b)
Find the value of a

solve for a

Find the value of b

solve for b

therefore
The rule of the translation is
(x,y) -----> (x+3,y-3)
That means ----> The translation is 3 units at right and 3 units down
Answer:
x=1
Step-by-step explanation:
To get the 7 away, we need to multiply it into the parentheses.
7*-10= -70
7*3=21
-70+21x= -49
Now we combine like terms and we move 70 over. Because we're moving it to the other side of the equation, it becomes positive.
21x= -49+70
-49+70 is the same as 70-49
70-49= 21
Now we put it together.
21x=21
To get the x by itself, we need to divide 21 on both sides.
21x/21= 21/21
21/21=1
x=1