MATHEMATICS HIGH SCHOOL

8-m/7=18 ................

Answers

Answer 1

Answer:

Answer:

m= -84

Step-by-step explanation:

Step 1- Multiply both sides by 7

42-m= 126

Step 2- Move constant to the right hand side and change its sign

-m= 126-42

Step 3- Subtract the numbers

-m= 84

Step 4- Change the signs on both sides of the equation

m= -84

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If a/b = 2 /5, b/c = 3 /8, a/c =??

How do I put 2.625 into a fraction

Answers

2 and 625/1000 (simp)

2 5/8 as a mixed number

25/8 as a regular fraction

2 and 5/8

2 5/8 mixed number

21/8 as an improper fraction

What are the domain and range of the function f(x) = 3^x + 5

Answers

Answer:

Hence,

Domain: (-∞,∞)

Range: (5,∞)

Step-by-step explanation:

The domain of the function is the possible set of values at which the function is defined.

and the range of the function is the corresponding function values at the points of the domain.

e are given a function f(x) as:

$f(x)=3^x+5$

Clearly the function $3^x$ is defined for all the real values.

Hence, the function:

$f(x)=3^x+5$ is defined for all the real numbers.

Hence the domain of the function is: (-∞,∞) i.e. all of the real line.

Also we know that:

$3^x>0$ for all x.

Hence,

$3^x+5>5$ for all x.

Hence, the range of the function is:

(5,∞).

Hence,

Domain: (-∞,∞)

Range: (5,∞)

The range is y values and domain is x values

y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5

And the domain would be all real numbers.

Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other

Answers

Average rate of change of section A = (f(1) - f(0))/ (1 - 0) = (5(1) - 5(0))/(1 - 0) = (5 - 0)/1 = 5
Average rate of change of section B = (f(3) - f(2))/(3 - 2) = (5(3) - 5(2))/(3 - 2) = (15 - 10)/1 = 5

Average rate of change of section B is equal to that of section A.

Simplify:
(2x - 3)(3x + 4)

Answers

(2x - 3) (3x + 4) = 6x² + 8x - 9x - 12 = 6x² - x - 12

The altitude of an equilateral triangle is 18 inches. Find the length of a side

Answers

Let the length of equilateral triangle be x.

Each of the angle in an equilateral triangle is = 60°

The opposite to the 60° is the 18 inches. Hypotenuse is the side.

Sin 60° = 18 / Hypotenuse

Hypotenuse = 18 / Sin60°. Sin60° = √3 / 2

x = 18 / (√3 / 2)

= 18 / √3 * 2/1 = 36 / √3

x = 36 / √3

Rationalize the surd = 36 / √3 * (√3 / √3 ) = 36√3 / 3

x = 12√3 ≈ 12 * 1.732 ≈ 20.784

Length of side, x = 12√3 ≈ 20.784 inches.

Every month Neha takes a fixed amount of ₹3750 from her mother for her expenses. What is the amount she is spending in a year. What is the quality reflected here?

Answers

Answer:

Yearly expenses = ₹45,000

Step-by-step explanation:

Given:

Monthly expenses = ₹3,750

Find:

Yearly expenses

Computation:

Yearly expenses = 12 x ₹3,750

Yearly expenses = ₹45,000

Neha is unemployed and his expenses are totally fixed during the whole year.