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Serggg [28]
3 years ago
15

For f(x)= 5^x, find f(3/2)

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

f(3/2)= 5√5

Step-by-step explanation:

f(3/2)= 5^(3/2)

f(3/2)= (5^3)^1/2  is the same things

f(3/2)= (125)^1/2 fraction exponent are the same are roots ^(1/2) is √

f(3/2)= √125

f(3/2)= √25 times √5 break up 125 to be 25 x 5

f(3/2)= 5√5 because √25 = 5 and √5 stays as √5

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Write an equation of the line shown. Then use the equation to find the value of x when y=112
PtichkaEL [24]

Answer:

y = 8x + 16

x = 12

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format y = mx + b.

Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

(0, 16) = (x_1, y_1)

(3, 40) = (x_2, y_2)

slope (m) = \frac{40 - 16}{3 - 0}

slope (m) = \frac{24}{3}

slope (m) = 8

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

y = mx + b

16 = 8(0) + b

16 = 0 + b

16 = b

b = 16

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

y = mx + b

y = 8x + 16

Let's use the equation to find x when y = 112.

y = 8x + 16

Substitute y = 112 in the equation

112 = 8x + 16

112 - 16 = 8x

96 = 8x

Divide both sides by 8

12 = x

x = 12

8 0
3 years ago
9. What is the degree of the polynomial (x - 1)(x + 2)(2x - 3)?
Mrrafil [7]

Answer:

coefficient of the term of degree 4 in this polynomial is 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many distinguishable 7 letter​ "words" can be formed using the letters in alabamaalabama​?
otez555 [7]
<span>You are given the word alabama and you are asked to find how many distinguishable 7 letter​ "words" can be formed from it.

ALABAMA has seven letters so we will start at 7! 
Counting the number of A's in the word we have 4 A's and so we will divide it by 4!
</span>Counting the number of L's in the word we have 1 L and so we will divide it by 1!
Counting the number of B's in the word we have 1 B and so we will divide it by 1!
Counting the number of M's in the word we have 1 M and so we will divide it by 1!

And so the number of ways is 7! / (4! x 1! x 1! x 1!) = 210 words.

3 0
4 years ago
The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x
scoray [572]

Answer:

6

Step-by-step explanation:

6s^2=s^3

divide by s^2 on both sides to get 6=s. There is your answer

4 0
3 years ago
A bike rental shop rents out bicycles with a flat rate of $6 and then charges $2 per hour a person rents out the bike. Identify
DIA [1.3K]

Answer:

Independent Variable: Number of hours

Dependent Variable: Cost

Equation: C = 2x + 6

Step-by-step explanation:

    The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.

    The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.

    The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.

6 0
3 years ago
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