Answer:
13) (-2,-3) 14) (7,-4) 15) (-8,7)
Step-by-step explanation:
13) y=8x+13
-4x-5y=23
use substitution
-4x-5(8x+13)=23
distribute -5 in the parenthesis
-4x-40x-65=23
-44x-65=23
add 65 on both sides
-44x=88
divide both sides by -44
x=-2
for y...
y=8(-2)+13
y=-16+13
y=-3
answer is (-2,-3)
14) -3x-y=-17
y=-4x+24
use substitution
-3x-1(-4x+24)=-17
distribute the -2 in the parenthesis
-3x+4x-24=-17
x-24=-17
add 24 on both sides
x=7
for y...
y=-4(7)+24
y=-28+24
y=-4
answer is (7,-4)
15)5x+4y=-12
y=-2x-9
use substitution
5x+4(-2x-9)=-12
distribute 4 in the parenthesis
5x-8x-36=-12
-3x-36=-12
add 36 on both sides
-3x=24
divide both sides by -3
x=-8
for y...
y=-2(-8)-9
y=16-9
y=7
answer is (-8,7)
Answer:
A and D. She can make 32 servings in total.
Step-by-step explanation:
This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.
5 1/8 + 4 7/8 + 6 = 16
This is choice A.
Then she must divide this by 1/2 because each serving is 1/2 pound.
16 ÷ 1/2 = 32
That is choice D.
The formula for a triangl is one-half base time height ( 1/2 bh).
So for this triangle, input the base and height.
1/2 (10 x10)
The solve
1/2 (100)
50
50 cm²
Answer:
0, $12.40, $24.79, $37.19, $49.58
0 ≤ f(g) ≤ 49.58
Step-by-step explanation:
The cost of fill up gas, f(g) as a function of number of gallons of gas needed (g) is given by f(g) = 2.479g ........(1)
So, f(0) = $0
f(5) = 2.479 × 5 = $12.40
f(10) = 2.479 × 10 = $24.79
f(15) = 2.479 × 15 = $37.19
and f(20) = 2.479 × 20 = $49.58
And the practical range of this function is 0 ≤ f(g) ≤ 49.58
Therefore, option D is correct. (Answer)
