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Andrew [12]
2 years ago
8

Function operations and composition g(a)= 4a +4 h(a)= -4a + 5 Find (g + h)(a)

Mathematics
1 answer:
poizon [28]2 years ago
3 0

Answer:

(g + h)(a) = 9

Step-by-step explanation:

g(a)= 4a +4

h(a)= -4a + 5

(g + h)(a)

We add the functions

(g + h)(a) =  4a +4 + -4a + 5

Combine like terms

(g + h)(a) =0a +9

(g + h)(a) = 9

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If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' lic
Savatey [412]

Answer: 123 students

Step-by-step explanation:

2/10 is 20% so you'd take 615 x 0.20 which is 123.

4 0
3 years ago
The first month Tan had his new phone, he downloaded 5 apps on it. Six months later, he has 22 apps on his phone. What is the pe
ipn [44]

Answer:

Percent increase: 340%

Step-by-step explanation:

7 0
4 years ago
What is the area of the given triangle?
oee [108]

Answer: 12 square units

Step-by-step explanation: first you must count hom many units there are between points A and B, which is 4, and then count the points between B and C, which is 6.

Now that we have the units we do 6 x 4 = 24, however, you may be asking why we do not do 24 then, well if you were to be doing 6 x 4, you would be getting the area of a rectangle, and half of a rectangle is a triangle, so we have to do 24/2 which equals 12.

6 0
2 years ago
GUYS I NEED HELP ASAP
vovangra [49]

Answer:

A=2400ft

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four  right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height

The ectangular playground is 40 feet wide, so:

w=40ft

Therefore:

Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h

Solving for h:

2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft

The area of a rectangle is equal to the product of two of its contiguous sides, hence:

A=wh\\\\A=(40)(60)=2400ft

I attached you a picture of the rectangle

5 0
3 years ago
A circle is drawn inside a square so its circumference touches each of the four sides of the square. If the area of the circle i
Snowcat [4.5K]

Answer:

The length of the sides of the square is approximately 11.239 centimeters.

Step-by-step explanation:

Since the circle is inscribed in the square, the length of each side of the square (l), in centimeters, is equal to the length of the diameter of the circle (D), in centimeters. The area of the circle (A_{c}), in square centimeters:

A_{c} = \frac{\pi\cdot D^{2}}{4} (1)

Where D is the diameter of the circle, in centimeters.

If we know that A_{c} = 99.2\,cm^{2}, then the length of the sides of the square is:

D = \sqrt{\frac{4\cdot A_{c}}{\pi} }

l = D \approx 11.239\,cm

The length of the sides of the square is approximately 11.239 centimeters.

8 0
3 years ago
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