MATHEMATICS HIGH SCHOOL

What is the value of x when -8 x - (8x) = -48?

Answers

Answer 1

Answer:

Answer:

x=3

Step-by-step explanation:

-8x-(8x)=-48

-8x-8x=-48

Collect like terms

-16x=-48

Divide both sides by-16

x=3

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jean needs to graph the function below y= 7x^2 + 8x - 6 How many time should the graph of this function intersect at the x-axis?

Answers

when it intersects the x axis, the y value is 0
0=7x^2+8x-6
2nd degree, therefor there are 2 solutions and also 2 intersections

answe is 2 times

Sophie wrote odd numbers on her paper.what is a number sophie did not write

Answers

If Sophie wrote only odd numbers on her paper (1, 3, 5, 7, 9, etc.), then the numbers she did not write are even numbers - 0, 2, 4, 6, 8, etc.

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

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.

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.

Learn more about Exponential Function here:

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A sample of 40 batteries is taken from a case of 400. Thirty-seven of the batteries in the sample are good, and three are defective. Let p= the probability that a battery case is still good. Which of the following is NOT a possible value for p?A. 0.5
B. 0.75
C. 0.9
D. 0.925
E. 1

Answers

The answer is option E i.e., 1 because we know that there are 3 defective batteries in the case so the probability will never be 1 for this case.

Katie types 600 words in 5 minutes. She compared her typing speed to the record typing speed for her school shown in the table.Choose the answer that correctly compares Katie’s typing speed to the record typing speed for her school.

Question options:

A.) Katie types slower than the school record speed.
B.) Katie types faster than the school record speed.
C.) Katie’s typing rate is the same as the record speed for her school.

Answers

Answer:

Step-by-step explanation:

since the school recorded is in two minutes, they wrote 420 words, and Katie in 5 minutes wrote 600 words, if you put the average to the person who wrote 420 words in 2 minutes to-

in every too minutes they write 420 words.

so in four minutes they would of typed 840 words, which is more words than Katie in less minutes.

4 ft. by 4ft by 8 ft what is the volume in cubic feet