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melisa1 [442]
3 years ago
6

F(x)=2x+1 and g(x)=3x2+4, find (f∘g)(−2) and (g∘f)(−2).

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

Step-by-step explanation:

Fog=2(g)+1

2(3x+2+4)+1

2{3x+6)+1

6x+12+1

=6x+13

Fog(-2)=6(-2)+13

-12+13

=1

Gof=3(f)+2+4

=3(2x+1)+6

6x+3+6

=6x+9

Gof(-2)=6(-2)+9

-12+9

=-3

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Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3.
sp2606 [1]

Answer:

a. £564

b. £141

Step-by-step explanation:

a. Firstly, we add up the ratios

= 5 + 4 + 3 = 12

Amanda’s share was 5

Let the total amount be £x

Thus; 5/12 * x = 235

5x = 12 * 235

x = 2820/5 = 564

The total cost of the holiday is £564

b. We want to calculate what Bethany paid

That would be 3/12 * 564 = £141

7 0
3 years ago
The city of Gary has a population of 75,282. Approximately 34.78% of Gary residents have a higher education degree. How many peo
NARA [144]

Answer:

26183

Step-by-step explanation:

Given that,

The population of the city of Gary is 75,282. 34.78% of Gary residents have a higher education degree.

We need to find the no of people in Gary have a higher education degree. It can be simply calcualted by taking 34.78% of 75,282 as follows :

P=75282\times 34.78\%\\\\ =75282\times \dfrac{34.78}{100}\\\\=26183.07

or

P = 26183

So, there are 26183 people in Gary have a higher education degree.

5 0
3 years ago
What is the result when the number 86 is decreased by 50%?
iogann1982 [59]

Answer:

the answer is 43

Step-by-step explanation:

4 0
3 years ago
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X= 2/3 y= 1/2 z=4 2/3 work out the value of z+x *y
Blizzard [7]

Answer: 16/9 or 1 7/9

Step-by-step explanation:

plug in the values

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add the first two values

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multiply 5 1/3 by 1/2

5 1/3 * 1/3 =  16/9 or 1 7/9

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