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olga2289 [7]
4 years ago
14

Can you guys help me with this?

Mathematics
1 answer:
Ghella [55]4 years ago
7 0
F(x)=2x^2-x-6
Factoring:
f(x)=2(2x^2-x-6)/2=(2^2x^2-2x-12)/2=[(2x)^2-(2x)-12]/2
f(x)=(2x-4)(2x+3)/2=(2x/2-4/2)(2x+3)→f(x)=(x-2)(2x+3)

g(x)=x^2-4
Factoring
g(x)=[sqrt(x^2)-sqrt(4)][sqrt(x^2)+sqrt(4)]
g(x)=(x-2)(x+2)

f(x)/g(x)=[(x-2)(2x+3)] / [(x-2)(x+2)
Simplifying:
f(x)/g(x)=(2x+3)/(x+2)

Answer: Third Option (2x+3)/(x+2)
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Indices: What is 3^2 × 3^-1​
Mashutka [201]

Answer:

Hi, there the answer is 3

Step-by-step explanation:

5 0
3 years ago
What is the eighth term of the geometric sequence 6, 18, 54
Rainbow [258]

Answer:

= 4374.

Step-by-step explanation:

 it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.

This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.

4 0
3 years ago
6. The dimensions of a living room are 18 ft. by 15 ft. by 8ft. If air weighs 0.08 lb. per cubic foot, the weight of the air in
user100 [1]

The weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.

<h3>What is a rectangular prism?</h3>

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

The dimensions of a living room are 18 ft. by 15 ft. by 8ft.

The volume of the living room = volume of the cuboid:

V = length×width×height

V = 18×15×8

V = 2160 cubic ft

The weight of the air = 0.08 lb. per cubic foot

The weight of the air in the room = 0.08×2160

The weight of the air in the room = 172.8 lb

Thus, the weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ1

7 0
2 years ago
During the final 5 seconds of a race a cyclist increased her velocity from 4 m/s to 7 m/s . What was her average acceleration du
GREYUIT [131]

Answer:

The average acceleration of the cyclist was 0.6 m/s².

Step-by-step explanation:

Acceleration:

The rate change of velocity per unit time is call the acceleration of the object.

a=\frac{v-u}t

u= initial velocity

v= final velocity

t= time taken change of velocity.

During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s

Here v= 7 m/s and u=4 m/s t=5 seconds

\therefore a=\frac{7\ m/s-4 \ m/s}{5s}

     =\frac{3}{5} \ m/s^2

     =0.6 m/s²

The average acceleration of the cyclist was 0.6 m/s².

8 0
3 years ago
Anthony needs a new suit. He has a 20% off coupon that will be applied before a tax of 7.5% is applied to his total. How much wi
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$236.50 is how much anthony would have to pay
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4 years ago
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