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swat32
4 years ago
7

Mary is two inches more than half as tall as John. Translate the sentence into an equation using M to represent Mary height and

J to represent john height
Mathematics
1 answer:
Yuri [45]4 years ago
7 0
M(2)+2=J
Mary is half the height so multiply by 2 then add the extra 2 inches
Ex: 38inches(2)+2=78inches
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What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
vlabodo [156]

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = ax^{2} +bx +c

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = x^{2} +8x - 2   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = (-4^{2}) + 8(-4) - 2

  = (16) - 32 - 2

  = 16 - 32 - 2

  = -18

Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

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3 years ago
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kenny6666 [7]
18x+9xy   (9x⋅2)+(9x⋅y   <span>(9x⋅2)+(9x⋅y  You multiply 9x times 2 and then 9x times y.  Because a(b+c) = ab + ac</span>
8 0
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Jennifer mixes an alloy containing 14% gold with an alloy containing 24% gold to make 100 pounds of an alloy with 18% gold. How
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marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

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Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

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New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

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Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0
3 years ago
What fraction of an inch is 1 centimeters​
aleksley [76]
3/64 inches


explaination: math
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