Which facts are true for the graph of the function below? Check all that apply.F(x) = 3 * 4^x
A. The range of F(x) is y > 4.
B. It is decreasing.
C. It is increasing.
D. The y-intercept is (0, 4).
E. The y-intercept is (0, 3).
F. The domain of F(x) is all real numbers.

Answers

Answer 1

Answer: facts thay are true for the graph of the function f(x) = 3(4)^x are:

It is increasing.
The y-intercept is (0, 3).
The domain of F(x) is all real numbers.

Answer 2

Answer:

Final answer:

The true statements for the given function F(x) = 3 * 4^x are: it is increasing, the y-intercept is (0, 3), and the domain of F(x) is all real numbers.

Explanation:

The function given is F(x) = 3 * 4^x. Let's check each statement given:

A. The range of F(x) is y > 4. This statement is not true because for all x≥0, y≥3. When x<0, 4^x tends towards 0, thus y tends towards 3.
B. It is decreasing. This is not true because the function F(x) = 3 * 4^x is an exponential function with a base greater than 1 that is 4 in this context which means that the graph of this function is increasing.
C. It is increasing. This statement is true. As explained for option B, F(x) = 3 * 4^x is an exponential function with a base greater than 1 so it will be increasing.
D. The y-intercept is (0, 4). This is not true. The y-intercept is the value of y when x=0. When plugged x=0 into F(x) = 3 * 4^x, we get F(0) = 3 * 1 = 3.
E. The y-intercept is (0, 3). This statement is true since F(0) = 3.
F. The domain of F(x) is all real numbers. This is true because any real number can be used as an input x for the function F(x) = 3 * 4^x.

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Once Isabel rented the warehouse space, she decided to post ads on several social media sites to advertise her online bookstore. Let m represent the number of months the ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted. f(x) = 1000(∛x) + 1000 How many books were sold after 8 months? (3 points)

Graph the function. (10 points)

Answers

The solution is 3000 books

The number of books sold after 8 months is given by the equation

f ( 8 ) = 3000 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = 1000 ∛( x ) + 1000 be equation (1)

Let the number of months be represented as x

Now , the number of books sold by Isabel for 8 months is given by the equation ,

when x = 8

Substitute the value of x = 8 in the equation , we get

f ( x ) = 1000 ∛( x ) + 1000

f ( 8 ) = 1000 ∛8 + 1000

f ( 8 ) = 1000 ( 2 ) + 1000

f ( 8 ) = 2000 + 1000

f ( 8 ) = 3000 books

Therefore , the value of f ( 8 ) is 3000 books

Hence , the number of books sold is 3000 books

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1. Number of books that were sold after 8 months:
$f(8)=1000 \sqrt[3]{8}+1000 f(8)=1000 * 2 + 100 = 2000+1000=3000$
Answer: 3000 books
2. Graph of the function is in attachment.

What is the solution to the equation 2x+8 = 28?
x=6
x=0
x= 10
x=8

Answers

Answer:

x=10

you'll substrate 8 from each side then divide by 2

Question content area topPart 1
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
19 over 19

Answers

The number in 2 equivalent forms as a fraction, decimal are 19/19 and 1.0 respectively.

Explain about the fraction and decimal?

There are just two ways to express numbers: fractions and decimals.

In comparison to decimals, where the whole number component and the fractional part are joined by a decimal point, such as in the case of 0.5, fractions are expressed as p/q, where q≠0.
Decimals and fractions show the link between parts and wholes.
Divide its numerator by the denominator to transform a fraction to a decimal.
The entire number remains to the left of a decimal when we have a mixed number.

The number given as:

19 over 19

It can be written as:

19/19 (equivalent as fraction)

19/19 = 1.0 (equivalent as decimal)

Thus, the number in 2 equivalent forms as a fraction, decimal are 19/19 and 1.0 respectively.

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Solve the equation for y: w- 302 4y-12

Answers

the equation (y-3)^2 =4y-12

y = -7

Solve the polynomial equation x3 + 7x2 − 16x −112 = 0 and select the correct answer below.

Answers

x^3 + 7*x^2 + -16*x-112
=(x + 4)*(x + 7)*(x - 4)

4. Here are the ingredients needed to make 12 shortcakes.Shortcakes
Makes 12 shortcakes
50 g of sugar
200 g of butter
200 g of flour
10 ml of milk
Liz makes some shortcakes.
She uses 25 ml of milk.
(a) How many shortcakes does Liz make?