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larisa86 [58]
3 years ago
14

1. Parker was able to pay for 44% of his college tuition with his scholarship. The remaining $10,054.52 he paid for with a stude

nt loan. What was the cost of Parker’s tuition?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
Parker’s tuition was 14478.5088 all you got to do is add 44% to 10,054.52 and get the answer
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Find the smallest zero of f(x+5)
podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

f(x) =  {x}^{2}   + 3x  - 10

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

f(x) =  {(x + 5)}^{2}   + 3(x + 5) - 10

Expand:

f(x) =   {x}^{2}    + 10x + 25+ 3x + 15- 10

Simplify to obtain

f(x) =   {x}^{2}    + 13x + 30

We now compare with,

f(x) =   {x}^{2}    + kx + 30

This implies that:

k = 13

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

{x}^{2}    + 13x + 30 = 0

{x}^{2}   + 10x + 3x + 30 = 0

x(x + 10) + 3(x + 10) = 0

(x + 3)(x + 10) = 0

x =  - 10 \: or \: x =  - 3

The smallest zero is -10.

7 0
3 years ago
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Solve for the unknown variable. 144=-12(x+5)
dolphi86 [110]

Answer: x=-17


Step-by-step explanation:

We first distribute the -12 across to the (x+5)

144=-12(x+5)

144=-12x-60

Then, we add 60 to both sides.

204 = -12x

Lastly, we divide the equation by -12.

204/-12 = -12x/-12

-17 = x

3 0
3 years ago
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each of the four sides of a swimming pool measures 12 meters who is 6 m in feet how much water is needed to fit in completely
Snezhnost [94]
Volume = Length x Width x Height

Volume = 12 x 12 x 6 = 864 m³

Answer: 864 m³
6 0
4 years ago
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The data set shows the number of visitors to a museum every day for 10 days.
kirill115 [55]
D should be correct
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3 years ago
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miv72 [106K]

Answer:

. The dependent variable is the variable that changes in response to the independent variable. The two variables may be related by cause and effect

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