MATHEMATICS
HIGH SCHOOL

Answer: The correct answer is:

True.

Explanation:

A corollary is derived from a theorem. This means it is propositions that stem from the statements of a theorem, and the proof of the corollary will rely heavily on the the theorem as justification.

True.

Explanation:

A corollary is derived from a theorem. This means it is propositions that stem from the statements of a theorem, and the proof of the corollary will rely heavily on the the theorem as justification.

Answer:

Answer:

TRUE

Step-by-step explanation:

A statement that makes sense based on a statement that has already been proven (that is, a theorem)

^^ the definition of corollary

COLLEGE

Rowan wants to justify that f(x) 3x-7 is a linear function. If she evaluates f(x) for consecutive integer values, which statement justices the claim that f is a linear function? a. there is a common difference of -7 for f(x) when x increase by 1

b. there is a common factor of -7 for f(x) when x increase by 1

c. there is a common different of 3 for f(x) when x increase by 1

d. there is a common factor of 3 for f(x) when x increase by 1

Answer:

C. there is a common difference of 3 for f(x) when x increases by 1

Step-by-step explanation:

As 3 is the slope of this function, there will be a common difference of 3 when x increases by 1.

f(x) = 3x - 7

Let's think, whenever we add 1 to x it i'll increase 3 in the result

f(0) = 3.0 - 7 = 0 - 7 = -7

f(1) = 3.1 - 7 = 3 - 7 = -4

f(2) = 3.2 - 7 = 6 - 7 = -1

So we can know that there's a common difference of 3 for f(x) when x increase by 1.

MIDDLE SCHOOL

What is the ratio 15:17 in lowest terms

Answer:

Step-by-step explanation:

The ratio 15:17 cannot be reduced, so 15/17 itself is in lowest terms.

15/17 =

15 ÷ 17 =

0.882352941176 ≈

0.88

MIDDLE SCHOOL

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional quantities? a=7.2 cm

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

Solution:Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

MIDDLE SCHOOL

If Sean’s dad paid $41.40 on a meal that cost $36, what percent tip did he pay?

Answer: The required percentage of tip is 15%.

Step-by-step explanation: Given that Sean’s dad paid $41.40 on a meal that cost $36.

We are to find the percentage of tip that he paid.

The amount of tip is equal to the amount paid minus the cost of the meal.

So, the amount of the tip will be

Therefore, the percentage of the tip is given by

Thus, the required percentage of tip is 15%.

Answer:

15

Step-by-step explanation: