How many gallons did she purchase, the equation,and car get in 20 miles gallon

In algebra, you can use function _____ to express the idea that salary depends on the number of hours of training.

mash [69]

Functions as used in algebra are mathematical statements that are being assigned with unique outputs for given inputs. In algebra, you can use function s =f(t) to express the idea that salary depends on the number of hours of training. Where<span> s is the salary and t is the years (or months or weeks) of training. </span>

8 0

2 years ago

Read 2 more answers

The perimeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to fin

enyata [817]

L = 2.3 + W

2W + 2L = P

2W + 2(2.3 + W) = 53

2W + 4.6 + 2W = 53

4W + 4.6 = 53

4W = 48.4

4W/4 = 48.4/4

W = 12.1

7 0

3 years ago

Read 2 more answers

25x power square - 36 y power square

finlep [7]

$\implies {\blue {\boxed {\boxed {\purple {\sf { (5x + 6y)(5x - 6y) }}}}}}$

$\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}$

$={25x}^{2} - 36 {y}^{2}$

$= ({5 \times 5)x}^{2} - (6 \times 6){y}^{2}$

$= ({5x})^{2} -( {6y})^{2}$

$= (5x + 6y)(5x - 6y)$

${a}^{2} - {b}^{2} = (a + b)(a - b)$

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}$

3 0

3 years ago

Graph the function f(x) = (x + 1)(x - 5). Use the drop-

hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0

3 years ago

Profit is the amount of money that remains after all expenses of a project have been paid. The year has just ended, and Ajax C

lilavasa [31]

Answer:

the Profit earned by the company is $280,489

Step-by-step explanation:

Total Cost of 5 projects awarded = $7,435,000

Cost of Project 1 = $1,245,000

Cost of Project 2 = $985,689

Cost of Project 3 = $1,723,000

Cost of Project 4 = $2,567,054

Cost of Project 5 = $633,768

We need to find the profit earned by the company.

First we need to find Total cost spent on all 5 projects.

It can be found by adding cost spent on all projects.

Total cost spent on all 5 projects = Cost of Project 1 + Cost of Project 2 + Cost of Project 3 + Cost of Project 4 + Cost of Project 5

Total cost spent on all 5 projects = $1,245,000+ $985,689 + $1,723,000+ $2,567,054 + $633,768

Total cost spent on all 5 projects = $7,154,511

Now we can calculate profit earned using formula:

Profit earned = Total Cost of 5 projects awarded - Total cost spent on all 5 projects

Profit earned = $7,435,000 - $7,154,511

Profit earned = $1,280,489

So, the Profit earned by the company is $280,489

6 0

3 years ago