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3 years ago

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? A. 23 B.25 C.40 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