Step-by-step explanation:
Given
f(x) = -5x - 1
and
g(x) = 2x + 2
Now
f(3) = - 5 * 3 - 1
= -15 -1
= -16
Also
g(-4) = 2 * (-4) + 2
= - 8 + 2
= - 6
Answer:
A - x = (k-c)/5
Step-by-step explanation:
To solve this problem, we would solve for x like we would in 2x = 6 :
5x + c = k
5x = k-c (subtract c from both sides)
x = k/5 - c/5 (divide 5 on both sides)
x = (k-c)/5 (simplify)
:)
Answer:
48
Step-by-step explanation:
3.2 - 3 = .2
3(.2) = .6
9 + .6 = 9.6
5 * 9.6 = 48
Answer:
Step-by-step explanation:
From the first receipt:
2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:
2g + 4o = 10.70
From the second receipt:
3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:
3g + 2o = 9.65
Putting those together into a system and solving using the elimination method:
2g + 4o = 10.7
3g + 2o = 9.65
I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:
2g + 4o = 10.7
-6g - 4o = -19.3
As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:
-4g = -8.6 so
g = 2.15
Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:
2(2.15) + 4o = 10.7 and
4.3 + 4o = 10.7 and
4o = 6.4 so
o = 1.60
Oranges cost $1.60 per pound. That is choice D from your list.
Answer:
Step-by-step explanation:
<u>Let the number be x, and we have equation:</u>
- 16x + 2 = -7x - 21
- 16x + 7x = - 21 - 2
- 23x = - 23
- x = -1
The number is -1
