<h3>
Answer: -19, -15, -9, -1, 9 (choice A)</h3>
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Explanation:
If we plug in x = -2, then we get,
y = x^2 + 7x - 9
y = (-2)^2 + 7(-2) - 9
y = 4 - 14 - 9
y = -10 - 9
y = -19
So x = -2 leads to y = -19. The answer is between A and D.
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If you repeat those steps for x = -1, then you should get y = -15
Then x = 0 leads to y = -9
x = 1 leads to y = -1
Finally, x = 2 leads to y = 9
The outputs we get are: -19, -15, -9, -1, 9 which is choice A
Choice D is fairly close, but we won't have a second copy of -15, and we don't have an output of -19.
Answer:
384
Step-by-step explanation:
6 squares of 8x8=
8x8x6=384
Answer:
$57.93
Step-by-step explanation:
14 x 12 = 168
168/2.9
Answer:
9 cans of soup and the 4 frozen dinners were purchased
Step-by-step explanation:
Let x represent the number of cans of soup purchased.
Let y represent the number of frozen dinners purchased.
Lincoln purchased a total of 13 cans of soup and frozen dinners. This means that
x + y = 13
Each can of soup has 250 mg of sodium and each frozen dinner has 550 mg of sodium. The 13 cans of soup and frozen dinners which he purchased collectively contain 4450 mg of sodium. This means that
250x + 550y = 4450 - - - - - - - - -1
Substituting x = 13 - y into equation 1, it becomes
250(13 - y) + 550y = 4450
3250 - 250y + 550y = 4450
- 250y + 550y = 4450 - 3250
300y = 1200
y = 1200/300
y = 4
Substituting y = 4 into x = 13 - y, it becomes
x = 13 - 4 = 9
Answer:
Step-by-step explanation:
Simplifying
2m + -6n + 5n + 3m = 0
Reorder the terms:
2m + 3m + -6n + 5n = 0
Combine like terms: 2m + 3m = 5m
5m + -6n + 5n = 0
Combine like terms: -6n + 5n = -1n
5m + -1n = 0
Solving
5m + -1n = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'n' to each side of the equation.
5m + -1n + n = 0 + n
Combine like terms: -1n + n = 0
5m + 0 = 0 + n
5m = 0 + n
Remove the zero:
5m = n
Divide each side by '5'.
m = 0.2n
Simplifying
m = 0.2n
