Answer:
2 ROUTE 113
Step-by-step explanation:
Pythagorean theorm.
Factor it out.
Simplify the radical.
Answer: x > 3
Step-by-step explanation:
We have the inequality:
-4*(2*x - 7) < 10 - 2*x
We want to find the possible values for x.
first, we expand the left side.
-8x + 28 < 10 - 2x
now we want to have all the terms with x in one side and the terms without x in the other side.
-8x + 2x < 10 - 28
-6x < -18
now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:
x > 18/6 = 3
x > 3
This means that x must be larger than 3.
Louann= 14x+24
Carla= 16x+14
So basically this is just like solving equations. The way I did this was just put random numbers for x and then solve it.
First attempt:
14(7)+24=16(7)+14
98+24=112+14
122=126
Okay the first one didn't work so I use 6 for x.
Second attempt:
14(6)+24=16(6)+14
84+24=96+14
108=110
So 6 didn't work and you already should know that the answers should be between 1 and 5.
So now I going to do 5 for x
Third attempt:
14(5)+24=16(5)+14
70+24=80=14
94=94
And so the answer is 5! :D The multiply choice questions were worth 5 points and Louann and Carla had 94 for their scores! I hope this help you out and clear for you! :D
Answer:
yes
Step-by-step explanation:
Answer:
vertex at (1, -3)
Step-by-step explanation:
When x = 0
y² + 6y + 1 = 0
y² + 6y + = -1
y² + 6y + 9 = -1 + 9
(y + 3)² = 8 or (-y - 3)² = 8
y + 3 = √8 or -y - 3 = √8
y = - 3 +√8 or y = -3 - √8
(0, - 3 +√8) and (0, -3 - √8)
The mid point between these two is the average
y = ( - 3 + √8 + -3 - √8) / 2 = - 3
y² + 6y + 8x + 1 = 0
(-3)² + 6(-3) + 8x + 1 = 0
9 - 18 + 1 = -8x
- 8 = -8x
x = 1
