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hoa [83]
3 years ago
8

What is the vertex of the absolute value function defined by f(x)=|x+5|+7?

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

The vertex of the function f(x) = |x - a| is in (a, 0).

f(x) + a - shift the graph of function f(x) a units up.

Therefore:

The verex of y = |x + 5| is in (-5, 0).

The vertex of y + 7 = f(x) = |x + 5| + 7 is in (-5, 0 + 7) = (-5, 7).

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Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5
Fynjy0 [20]

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.

Explanation

given

cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y=12

x+y=12(1)\\9x+5.25y=6.5(x+y)\\\\9x+5.25y=6.5*12\\9x+5.25y=78(2)

solving (1) and (2)

x=4

y=8

5 0
2 years ago
2x+y=7 for y neeedd help
masya89 [10]

Answer:

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Step-by-step explanation:

<u>Solve for y:</u>

  • 2x + y = 7

Add - 2x to both sides

  • 2x + y - 2x = 7 - 2x
  • y = 7 - 2x

or

  • y = -2x + 7
8 0
3 years ago
Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over 3 years. If bought
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Q13 A gardener needs to buy compost to fill this tub.
REY [17]

Answer:

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Step-by-step explanation:

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At 50 L per bag, the gardener needs ...

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The gardener probably cannot purchase a partial bag, so must buy more than is needed.

The gardener must buy 5 bags of compost to fill the tub.

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There are a total of 115 first graders, 225 second graders, and 140 third graders, who are going on a field trip. If a bus holds
alina1380 [7]
<span>Total number of students: 115 + 225 + 140 = 480 Number of buses needed: 480 ÷ 80 = b
b = 6</span>
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2 years ago
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