All categories

3 years ago

Damian works after school. Each

Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

Answer:

f(x) = 12x = 10

Step-by-step explanation:

We need a linear equation in the slope-intercept form.

y = mx + b

where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value

Let's look in the table.

1 hour: $22

2 hours: $34

The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.

The difference in time between 1 hour and 2 hours is 1 hour.

In 1 hour he earns $12. That means the slope is 12.

We know he earns $22 for working a total of 1 hour.

Start at 1 hour and $22 on the table.

Subtract 1 hour from 1 hour to get 0 hours.

Subtract $12 form $22 to get $10.

That means for 0 hours he gets $10. b = 10

The equation is

y = 12x + 10

In function form, we have:

f(x) = 12x = 10

You might be interested in

Pls check the attachment :) <br><br>f(x)=x^5-9x^3<br><br>

Galina-37 [17]

Answer:

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

Step-by-step explanation:

$y = {x}^{5} - 9 {x}^{3}$

An odd-degree function, meaning that the graph starts from negative infinity at x —> negative infinity and positive infinity at x —> positive infinity.

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

An odd-degree function is an one-to-one function so whenever x approaches positive, f(x) will also approach positive.

5 0

3 years ago

Which of the following could be the side lengths of a right triangle

arsen [322]

The answer is A. Hope this helps

8 0

3 years ago

Determine the slope between (4, 2) and (-3, 5) ~hurry please~

SpyIntel [72]

Answer:

A.-3/7

Step-by-step explanation:

the slope formula is

m = (y2 - y1) / (x2-x1)

The point (4, 2) is (x1, y1) and the point (-3, 5) is (x2, y2). Now you have to substitute in the slope formula:

m = (5 - 2) / (-3 - 4)

m = 3 / -7

m = -3/7

7 0

3 years ago

Read 2 more answers

Two lines, A and B, are represented by the equations given below!

lara [203]

Answer:

The solutions to the system of equations are:

$y=-8,\:x=-4$

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

$\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}$

$y-3x=4$

$-$

$\underline{y-x=-4}$

$-2x=8$

$\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}$

solve for x

$-2x=8$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{8}{-2}$

$x=-4$

$\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4$

$y-\left(-4\right)=-4$

$y+4=-4$

$y=-8$

The solutions to the system of equations are:

$y=-8,\:x=-4$

Thus, option C is true because the point satisfies BOTH equations.

8 0

3 years ago

Can someone help me, please ?? im stuck

Tresset [83]

Part A

5x - 5 >= 10 or-3x + 1 > 13

1) This is a disjunction (OR)

5x - 5 >= 10

5x >= 15

x >= 3

-3x + 1 > 13

-3x > 12

x < -4

Answer

x <- 4 or x >= 3

Part C:

1) This is a conjunction (And)

5x+ 3 <= 18 and 4 - x < 6

5x <= 15 and - x < 2

x <= 3 and x > -2

Answer

-2 < x <= 3

8 0

3 years ago