MATHEMATICS HIGH SCHOOL

What is the factored form of the expression? 3x 2 + 8x – 16A. (3x + 4)(x – 4)
B. (3x + 4)(x + 4)
C. (3x – 4)(x – 4)
D. (3x – 4)(x + 4)

Answers

Answer 1
Answer: The correct answer is D. (3x-4)(x+4).  
Answer 2
Answer:

Answer:

The factored form of the expression  3x + 8x – 16 is (3x -4) (x + 4)  .

Option (D) is correct.

Step-by-step explanation:

As the expression given in the question be.

3x^(2) +8x -16 = 0

3x^(2) +12x - 4x -16 = 0

3x (x + 4) - 4 (x +4) = 0

(3x -4) (x + 4)  = 0

Therefore the factored form of the expression  3x + 8x – 16 is (3x -4) (x + 4)  .

Option (D) is correct.

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Half of a number is equal to 8 more than the number.

Answers

Set the number as x. So, 
.5x=x+8
Put all of the x's on one side of the equation.
.5x=-8
Divide by .5 on each side,
x=-16
Hope this helps.

A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies?A. The domain is all integers.

B. The domain is all even integers.

C. The domain is all integers 0 or greater.

D. The domain is all integers 10 or greater.

Answers

The domain is all integers 10 or greater. This is because the working equation for the statement is movie renting = 10 + 1.5 x(movie renting). With that equation there is a minimum of 10.

Sam’s Music Store wanted to take a survey of the age range of people that visited the store. Over the course of a week, they asked 40 people their age as they walked in. Below is a box plot of the collected data. Answer the following questions about the box plot in relation to the problem. 1.When Sam’s assistant was collecting the data she mistakenly noted that the oldest person was 48. The oldest person was actually 50. How will this affect the box plot?

Answers

A box plot contains 5 number summary. The information gathered from the box plot are:
1) minimum number
2) 1st quartile
3) median
4) 3rd quartile
5) maximum

Since the box plot of the collected data is not shown, I can only say that the maximum number will be affected by the error.

maximum number of 48 should have been maximum number 50.

What is an equation of the line that passes through (0,8) and (4,0)?

Answers

Answer: y=-2x+8

Step-by-step explanation:

To find the slope of the line, you would use (y_(2)-y_(1) )/(x_(2) -x_(1) ). With the 2 points we are given , we can plug it into this equation to find the slope.

(0-8)/(4-0) =(-8)/(4) =-2

Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.

The final equation we get is y=-2x+8.

Answer:

y= -2×+8

Step-by-step explanation:

find m(slope)

y2-y1 over x2-x1

substitute using (0,8) and (4,0)

m=-2

y=mx+b

substitute x and y to find b using either (0,8) or (4,0)

0=-2(4) + b

0= -8 +b

0+8= -8+8 +b

8=b

y=-2x+8

multiplying polynomials

(3m-1)(8m+7)

Answers

(3m-1)(8m+7)=3m\cdot 8m+3m\cdot 7-1\cdot 8m-1\cdot 7=\n \n=24m^2+21m-8m-7=24m^2+13m-7

The product of (3m-1)(8m+7) is 24m² + 13m - 7.

To multiply the polynomials (3m-1)(8m+7), we can use the distributive property. We multiply each term in the first polynomial by each term in the second polynomial and then combine like terms.

(3m-1)(8m+7) = 3m(8m) + 3m(7) - 1(8m) - 1(7)

Simplifying this expression, we get:

24m² + 21m - 8m - 7

Combining like terms, we have:

24m² + 13m - 7

Therefore, the product of (3m-1)(8m+7) is 24m² + 13m - 7.

We can also see that this product represents a quadratic polynomial. The highest power of the variable "m" is 2, which is indicated by the term 24m². The other terms, 13m and -7, represent the linear and constant parts of the polynomial, respectively.

The result is a quadraticpolynomial in standard form, where the terms are arranged in descending order of the variable's exponent. In this case, the quadratic polynomial is 24m² + 13m - 7.

To learn more about Polynomials;

brainly.com/question/11536910

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what is the new volume of a rectangular prism that is originally 12 cubic meters and is them resized using scale factor of 4 on each side length?

Answers

lets say each side length of the prism is 1, 3, and 4,
1x3x4=12 cubic meters
you then times each by four
1x4=4
3x4=12
4x4=16
you then multiply them together
4x12x16
and the answer would be what it equals
4x12x16=768 cubic meters
so the new prism's volume would be 768 cubic meters
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