If two lines are parallel, which statement must be true?A. Their slopes are reciprocals.
B. Their slopes are opposites.
C. Their slopes are equal.
D. Their slopes are negative reciprocals.

Answers

Answer 1
Answer: I believe the correct answer from the choices listed above is option C. If two lines are parallel, their slopes are equal. Having equal slopes mean that the rise and run of the points of the lines are the same. Parallel lines do not intersect even when extended infinitely.
Answer 2
Answer:

Answer:

C. Their slopes are equal.

Step-by-step explanation:

Given : If two lines are parallel.

To find  : which statement must be true.

Solution : We have given that If two lines are parallel.

We know that two parallel line have same slope

By rise over run :

Therefore, C. Their slopes are equal.


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Suppose f(x) = abx is an exponential GROWTH function. Which function, then, represents exponential DECAY?A) f(x) = abx
B) f(x) = abx - 4
C) f(x) = a(b-1)x
D) f(x) = a( 1 b )x

Answers

Answer: The answer is (D) f(x)=a^((1-b)x).

Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.

Given that the following function is an exponential growth function.

f(x)=a^(bx).

We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.

We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.

We will see the the graph of the fourth function will show an exponential decay.

and the rest three will show exponential growth.

Thus, (D) is the correct option.

the correct function is D

Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll shirt requires 2/7 of a yard of fabric. How many whole shirts can she make for her dolls? a. 2 b. 3 c. 4 d. 5

Answers

Step-by-step explanation:

Since you have 7/8 of a yard of fabric and 2/7 needed you would take the 7/8 and divide by 2/7

7/8 / 2/7

Since these are fractions you would take the second number and turn in into its reciprocal

7/8 x 7/2

49/16

3 1/16

You can make 3 full shirts

after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction

Answers

The dictionary price before the reduction is $44

How to determine the dictionary price before the reduction

From the question, we have the following parameters that can be used in our computation:

Reduction = 30%

Price after = $30.80

Using the above as a guide, we have the following:

Price after =  Price before * (1 - Reduction)

substitute the known values in the above equation, so, we have the following representation

Price before * (1 - 30%) = 30.80

Evaluate

Price before = 44

Hence, the dictionary price before the reduction is $44

Read more about discount at

brainly.com/question/7459025

#SPJ3

Answer:

Well the original price would be $44

Step-by-step explanation:

So make an equation

Lets make X stand for the price before the deduction

so x-x(0.3)=30.80

Subtracting the X by x(0.3) would tell us the price, the 0.3 stands for 30 percent and we know its 30 percent of X so we subtract that since 0.3x would give the change

Now just solve the equation

You’ll get 44.

A student has some $1 and $5 bills in his wallet he has a total cost of 15 bills that are worth $39 how many of each type of bill does he have

Answers

39 divied 5 = 7.5
7.5 times 39=292.1
$292.1p

A square acre of land is 4,840 square yards. The length of one side of the square is between which of the following?A 14 yd and 48 yd
B 69 yd and 70 yd
C 98 yd and 100 yd
D 124 yd and 139 yd

Answers

Hi there!

If we know the area is a square, we can use the formula for the area of a square to figure out what one side would be between. Knowing the value allows us to determine what it would be between. In this case, it is between 69 and 70.

WORK:
squareroot(4840) = 69.6

ANSWER:
Option B - 69 yd and 70 yd

What is the study of mathematical probabilities, distributions and deviations?

Answers

Statistics. Statistics is a branch of mathematics which is the scientific study of mathematical values pertaining to qualitative descriptions and transcribe them into quantifying values such as the descriptive statistics and infuses these quantities in the field of inferential statistics. In these two categories involve probabilities, distribution and deviations which are mainly compositions of the descriptive statistics. Inferential statistics will involve comparison and variation of the given values. Methods are t-test, analysis of variance, and two-way analysis of variance and other methods.