All categories

2 years ago

Quiz 4: Solving Inequalities

Mathematics

1 answer:

san4es73 [151]2 years ago

3 0

Answer:

$15x+60\leq 100$

Step-by-step explanation:

Let

x -----> the number of hours that the painter works

we know that

The inequality that represented this situation is equal to

$15x+60\leq 100$

solve for x

Subtract 60 both sides

$15x\leq 100-60$

$15x\leq 40$

Divide by 15 both sides

$x\leq 40/15$

$x\leq 2.67\ hours$

The maximum number of hours is 2

You might be interested in

What is 27÷2356 with the work

Charra [1.4K]

Math answers to fraction 2356 divided by 27 can be calculated as follows.

2356/27 math problems division = 87.2592592593. Therefore 87.2592592593 to 2 decimal places= 87.26

2356/27 divided by 2 » (2356/27) ÷ 2 » 87.2592592593 ÷ 2 = 43.6296296296 .

5 0

3 years ago

Evaluate the following expression for z = -3.<br> -z^6<br> I’m literally so bad at this please help

Kipish [7]

Step-by-step explanation:

${ - z}^{6} \\ z = - 3$

$- {( - 3)}^{6} \\ = - 1 \times ( - 3 \times - 3 \times - 3 \times - 3 \times - 3 \times - 3)$

= -1 × 729

= -729

3 0

2 years ago

Given the function f(x) = 6x^2 −13, what is f(-3)?

Naya [18.7K]

<h3>Answer: 41</h3>

Work Shown:

f(x) = 6x^2 - 13

f(x) = 6(x)^2 - 13

f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify

f(-3) = 6(9) - 13

f(-3) = 54 - 13

f(-3) = 41

7 0

3 years ago

Elena and Diego each wrote equations to represent these diagrams. For

Tpy6a [65]

Elena is correct

Step-by-step explanation:

This is because a straight angle is always equal to 180 therefore in order to find the value of *w* you would have to add up to angles that are given and subtract them from 180, or in this case add up all the angles including *w* to get 180.

6 0

2 years ago

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

6 0

2 years ago