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Taya2010 [7]
3 years ago
14

What is the value of the function, then determine if the graph opening up or down f(x)=-5(x+7)^2+6?

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
Selection A is appropriate.

_____
When the coefficient of x^2 is negative, the graph opens down.
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14. a house-painting company charges 376$ plus 12$ an hour. Another painting company charges 280$ plus 15$ an hour.
SpyIntel [72]
376+12x=280+15x
3x=96
x=32
A. 32 hours
B. 376+12*(32)=384+376=720$
6 0
3 years ago
The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
Mama L [17]

Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
The original price is 50. the discount is 15%. what is the new price
Fantom [35]
15% off
15% off of 50
notice that 50 is 1/2 of hundred
15% of 100 is 15
therefor
15% of 50 is 15/2=7.5

that is discount
50-7.5=42.5

new price=$42.5
5 0
3 years ago
0.08 is 10 times grater than
solong [7]
Subtract the minimum data value from the maximum data value to find the data range,so in this case yur data range is 

10 - 0.08 = 9.92
so yur answer is 9.92
4 0
3 years ago
If 3(x+2)=5(x-8) what is the value of x+2?<br><br>A. 23<br>B.25<br>C.40<br>D.46
lorasvet [3.4K]

3*x

3*2

3x+6

5*x

5*-8

5x-40

Story short the answer is 25

3 0
3 years ago
Read 2 more answers
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