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Musya8 [376]
3 years ago
11

QF Q6.) Find the function for a.

Mathematics
2 answers:
Sophie [7]3 years ago
6 0
(fоg)(x)=f(g(x))
=f(4x^2-3)
=2(4x^2-3)-4
=8x^2-6-4
=8x^2-10
irakobra [83]3 years ago
5 0
The function for a is (f o g) (x) = 8x^2-10.



Explanation

=========================
f(x)=2x-4, g(x)=4x^2-3, (f o g)=f(g(x))  

I already knew that the g of x is equal to 4x^2-3 so I substitute inside of the g of x

g(x)=4x^2-3 =======> f(x)=4x^2-3 =============> 2(4x^2-3)-4 

simplify it 
 
2(4x^2-3)-4  =======> 8x^2-6-4 =========> 8x^2-10

(f o g) = 8x^2-10


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oksano4ka [1.4K]

Answer:

Those two pair of equations have the same solution set.

Step-by-step explanation:

There are two equations  

(x-1)(x+3)=17+x ..... (1) and  

(x-1)(x+3)+500=517+x ...... (2)

We have to check the same solution set will be there for equations (1) and (2) or not.

Now, we are going to rearrange the equation (2).

(x-1)(x+3)+500=517+x

⇒ (x-1)(x+3)=517-500+x

⇒(x-1)(x+3)=17+x

This is the same equation as equation (1).  

Therefore, there will be the same solution set for equations (1) and (2).  (Answer)

There are two equations  

(x-1)(x+3)=17+x ..... (3) and  

3(x-1)(x+3)+500=51+3x ...... (4)

We have to check the same solution set will be there for equations (3) and (4) or not.

Now, we are going to rearrange the equation (4).

3(x-1)(x+3)+500=51+3x

⇒ 3(x-1)(x+3)=3(17+x)

⇒(x-1)(x+3)=17+x

This is the same equation as equation (3).  

Therefore, there will be the same solution set for equations (3) and (4). (Answer)

7 0
3 years ago
With a slope of m = -2 and a point being (5,-2) what’s the Y-intercept?
almond37 [142]

Answer:

c = 8

Step-by-step explanation:

Given the following data;

Slope, m = -2

Points (x, y) = (5, -2)

To find the intercept, c;

Equation of a straight line is given by the formula: y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

-2 = -2(5) + c

-2 = -10 + c

c = 10 - 2

c = 8

Therefore, the y-intercept is 8.

3 0
3 years ago
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Digiron [165]

Answer:

t^6

Step-by-step explanation:

when dividing exponents, you subtract (refer to exponent rule)

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4 0
2 years ago
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insens350 [35]

Answer:

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Step-by-step explanation:

Its % of 360 degrees so you have to calculate the percentage of each categorie on 360 degrees to find the angles. Exemple, for the Other needs, you take 7% out of 360 degrees and you find that it is equal to 25,2. (7% x360 degrees /100)

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Answer:

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Step-by-step explanation:

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