Answer:
B.) Beachside Sqaure
Step-by-step explanation:
The reason why is because, you have to look at her intentions and the time frame she wants to wait for food at these restaurants. Beachside Sqaure has less times they have made her wait for her food more than 10 minutes, so that would be their advantage.
Answer:
Graph A has infinite solutions, Graph B has one solution, and Graph C has no solutions
Step-by-step explanation:
Answer:
(5, 7)
Step-by-step explanation:
M = (x1 + x2/2 , y1 + y2/2)
M = ( 4 + 6 /2 , 7 + 7 / 2)
M = 5, 7
Answer:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Step-by-step explanation:
We have:
f(x) = 4*x³ + x² + x - 8
We want to write this in:
f(x) = (x - k)*q(x) + r.
with k = -1
Then we want to write:
4*x³ + x² + x - 8 = (x - (-1))*q(x) + r
4*x³ + x² + x - 8 = (x + 1)*q(x) + r
Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.
then:
q(x) = a*x² + b*x + c
Then:
4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r
4*x³ + x² + x - 8 = a*x³ + b*x² + c*x + a*x² + b*x + c + r
if we take common factors in the right side we get:
4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)
Now, we must have:
4*x³ = a*x³
then:
4 = a
We also must have:
x² = (b + a)*x²
1 = (b + 4)
1 - 4 = b
-3 = b
We also must have:
x = (c + b)*x
1 = (c + (-3))
1 + 3 = c
4 = c
And finally:
- 8 = (c + r)
-8 = 4 + r
-8 - 4 = r
-12 = r
Then:
f(x) = (x + 1)*(4*x² - 3*x + 4) - 12
Answer:
z = -6
Step-by-step explanation:
5z + 2 = 3z - 10
Subtract 3z from both sides
2z + 2 = -10
Subtract 2 from both sides
2z = -12
Divide each side by 2
z = -6
So, the answer is z = -6
