MATHEMATICS COLLEGE

Given h(x)= -5x+3,solve for x when h(x)=3

Answers

Answer 1

Answer:

Answer: x = 0

Explanation

The idea is to replace h(x) with 3. Then we isolate x. Follow PEMDAS in reverse to get x by itself.

Here are the steps:

h(x) = -5x+3

3 = -5x+3

-5x+3 = 3

-5x = 3-3

-5x = 0

x = 0/(-5)

x = 0

As a check,

h(x) = -5x+3

h(0) = -5*0 + 3

h(0) = 0 + 3

h(0) = 3

Therefore, the input x = 0 in the domain leads to the output h(x) = 3 in the range. We have confirmed the answer x = 0

Another way to confirm the answer is to use a graphing tool like GeoGebra or Desmos.

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The difference between seven and triple the input

Answers

Answer: 3x - 7

x = some input number

3x = triple the input

3x - 7 = difference of triple the input and 7

-8.46 greater or less than 5.31

Answers

Hello.

-8.46 is less than 5.31, because it is negative.

Answer:

-8.46 is less than 5.31

Step-by-step explanation:

-8.46 is a negative number, which is smaller than the positive number 5.31

Positive numbers are always greater than negative numbers.

-x + 3y = 3

x - 3y = 3

Does this system have a solution?

Answers

Answer:

No solution

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write out systems of equations

-x + 3y = 3

x - 3y = 3

Step 2: Rewrite equations into slope-intercept form

3y = 3 + x

y = 1 + x/3

-3y = 3 - x

y = -1 + x/3

Step 3: Rewrite systems of equations

y = x/3 + 1

y = x/3 - 1

Since we have the same slope for both equations but different y-intercepts, we know that both lines are parallel. If that is the case, they will never touch or intersect each other. Therefore, we have no solution.

Factor the trigonometric expression. 5sin^2x-8sinx-4

Answers

(sin(x)-2)(5 sin(x)+2)

4(5sin^2(x)cos^2(x)-2sin(x)-1)

luis read a 300 page book in 6 days on the first day he read 120 pages each day after that he read the same amount of pages writ the equation that can be determined the number of pages read on each day after rhe first day