Step-by-step explanation:
our equation is x²+16x = -44
- x²+16x= -44
- x² is the first term so weill have in the middle 2*x* a number
- x²+2*x*8 = -44
- the third term is 8² wich is 64 so we will add it in both sides
- x²+2*x*8+64 = -44+64
- (x+8)² = 20
Now that we have completed the perfect square let's solve the equation
- (x+8)² = 20
- x+8 =
or x+8= - - x = -8+ or x = -8-
so the first answer is the correct one
64; 8 +/-
Answer:
$8006
Step-by-step explanation:
312*17.5=5460
134*19=2546
5460+2546= 8006
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The graph of g(x) is a vertically scaled version of the graph of f(x). The scale factor is 1/2, so vertical height at a given value of x is 1/2 what it is for f(x). This will make the graph appear shorter and fatter than for f(x).
The graph of g(x) is attached.
Answer:
We have a + b as;
2 + 3 = 5
Step-by-step explanation:
Here, we want go get the value of a and b
from the second equation, we can get an expression for b
We have this as;
7a - b = 11
Thus,
b = 7a - 11
Now, from here, we can substitute the value of b into the first equation
We have this as;
5a + 4(7a - 11) = 22
5a + 28a -44 = 22
33a = 22 + 44
33a = 66
a = 66/33
a = 2
Recall;
b = 7a - 11
substituting the value of a from above;
b = 7(2) - 11
b = 14 - 11
b = 3
Answer & Step-by-step explanation:
In order to solve this problem, it's important that we look at the tiles and the the signs that are in front of them. The top row of tiles represents our first expression and the bottom row of tiles represents our second equation.
The two large tiles are positive so they are going to be positive in our equation.
(x² ) - (-x² )
The four blue rectangle tiles are also positive, so they are going to be positive in our equation. The two red rectangle tiles are negative, so they are going to be negative in out equation.
(x² + 4x) - (-x² + 2x)
The two red square tiles are negative, so they are going to be negative in our equation. The four blue square tiles are positive, so they are going to be positive in our equation.
(x² + 4x - 2) - (-x² + 2x - 4)
So, your answer is going to be letter choice C.
