75% of the cruisers attended between 7 and 16 car shows
Answer:
To write this down as an algebraic expression you would simply need to multiply the two terms together.
So in this case it would be 8 multiples by x which is 8x
Step-by-step explanation:
1) Find out the variables in the Expression
2) Find the operation that is done to the variables
3) Apply the operation to those variables.
Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
![g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%202x%20%5C%5C%20g%2814%29%20%3D%202%2814%29%20%20%5C%5C%20g%2814%29%3D%2028%20)
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2) f (-8) ; Ans;
![f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%203%20%5C%5C%20f%28%20-%208%29%20%3D%20%20-%208%20%2B%203%20%5C%5C%20f%28%20-%208%29%20%3D%20%20-%205)
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3) j (3) ; Ans;
![j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1](https://tex.z-dn.net/?f=j%28x%29%20%3D%20%28%20-%201%29%5E%7Bx%20%2B%202%7D%20%20%5C%5C%20j%283%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B3%20%2B%202%7D%20%20%5C%5C%20j%283%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B5%7D%20%20%5C%5C%20j%283%29%20%3D%20%20-%201)
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4) h (4) ; Ans;
![h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%7D%20%20%5C%5C%20h%284%29%20%3D%20%20%7B3%7D%5E%7B4%7D%20%20%5C%5C%20h%284%29%20%3D%2081)
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5) f (2.8) ; Ans;
![f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%2B%203%20%5C%5C%20f%282.8%29%20%3D%202.8%20%2B%203%20%5C%5C%20f%282.8%29%20%3D%205.8)
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6) j(-5) ; Ans;
![j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1](https://tex.z-dn.net/?f=j%28x%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7Bx%20%2B%202%7D%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B%20-%205%20%2B%202%7D%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B%20-%203%7D%20%20%5C%5C%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B%28%20-%201%29%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20%20%5Cfrac%7B1%7D%7B%20-%201%7D%20%20%5C%5C%20%20%5C%5C%20j%28%20-%205%29%20%3D%20%20-%201)
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7) g(3/4); Ans;
![g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5](https://tex.z-dn.net/?f=g%28x%29%20%3D%202x%20%5C%5C%20%20%5C%5C%20g%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%3D%202%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%5C%5C%20%20%5C%5C%20g%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20g%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%20%3D%201.5)
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8) [h(6.2)]² ; Ans;
![h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%7D%20%20%5C%5C%20h%286.2%29%20%3D%20%20%7B3%7D%5E%7B6.2%7D%20%5C%5C%20h%286.2%29%20%3D%20908.13785497%20%20%5C%5C%20%20%5C%5C%20%20%7B%28h%286.2%29%29%7D%5E%7B2%7D%20%20%3D%20%20%28%7B3%7D%5E%7B6.2%7D%29%5E%7B2%7D%20%20%5C%5C%20%20%20%7B%28h%286.2%29%29%7D%5E%7B2%7D%20%20%3D%20824714.36364715)
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9) j(2) + g(-3) ; Ans;
![j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5](https://tex.z-dn.net/?f=j%28x%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7Bx%20%2B%202%7D%20%20%5C%5C%20j%282%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B2%20%2B%202%7D%20%20%5C%5C%20j%282%29%20%3D%20%20%7B%28%20-%201%29%7D%5E%7B4%7D%20%20%5C%5C%20j%282%29%20%3D%201%20%5C%5C%20%20%5C%5C%20g%28x%29%20%3D%202x%20%5C%5C%20g%28%20-%203%29%20%3D%202%28%20-%203%29%20%5C%5C%20g%28%20-%203%29%20%3D%20%20-%206%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20j%28x%29%20%2B%20g%28x%29%20%5C%5C%20j%282%29%20%2B%20g%28%20-%203%29%20%20%5C%5C%201%20%2B%20%28%20-%206%29%20%5C%5C%201%20-%206%20%20%5C%5C%20j%282%29%20%2B%20g%28%20-%203%29%20%3D%20%20-%205)
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10) h(1) - f(-10) ; Ans;
![h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%7D%20%20%5C%5C%20h%281%29%20%3D%20%20%7B3%7D%5E%7B1%7D%20%20%5C%5C%20h%281%29%20%3D%203%20%5C%5C%20%20%5C%5C%20f%28x%29%20%3D%20x%20%2B%203%5C%5C%20%20f%28%20-%2010%29%20%3D%20%20-%2010%20%2B%203%20%5C%5C%20f%28%20-%2010%29%20%3D%20%20-%207%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20h%28x%29%20-%20f%28x%29%20%5C%5C%20h%281%29%20-%20f%28%20-%2010%29%20%5C%5C%203%20-%20%28%20-%207%29%20%5C%5C%203%20%2B%207%20%5C%5C%20%20%3D%2010%20%5C%5C%20h%281%29%20-%20f%28%20-%2010%29%20%3D%2010)
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**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
<u>Table (1) Ans;</u>
f(4) = <u> –3</u>
f(-2) = <u>– 6</u>
If f(x)= -3 ,then x = <u>4</u>
If f(x) = 1 , then x = <u>3</u>
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<u>Table (2) Ans; </u>
f(4) = <u>–7</u>
f(-2) = <u>1</u>
If f(x)= -3 ,then x = <u>0</u>
If f(x) = 1 , then x = <u>- 2</u>
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<u>Table (3)Ans;</u>
f(4) = <u>7</u>
f(-2) = <u>3</u>
If f(x)= -3 ,then x = <u>6</u>
If f(x) = 1 , then x = <u>0</u>
I hope I helped you^_^
Is this posed to be a question