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Answer:

x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

Answer:

( + 2 ) (x+7 )

Step-by-step explanation:

Use the sum-product pattern   2 + 9 + 1 4 2 + 7 + 2 + 1 4 2

Common factor from the two pairs   2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3

Rewrite in factored form   ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )

Answer:

11.5 days

Step-by-step explanation:

Step-by-step explanation:

step 1. 2-7/8/(1/4) = (23/8)/(1/4) = 23/2 = 11-1/2.

step 2. it doesnt say how often you eat 1/4 boxes. let's assume it is daily.

step 3. answer: 11-1/2 days.

Step-by-step explanation:

[tex]4 + 3(5 + x)\\4 + (3 * 5 ) + (3 * x)\\4 + 15 + 3x[/tex]

Answer:

3x+19

Step-by-step explanation:

Let's simplify step-by-step.

4+3(5+x)

Distribute:

=4+(3)(5)+(3)(x)

=4+15+3x

Combine Like Terms:

=4+15+3x

=(3x)+(4+15)

=3x+19

Answer:

Tax= $4.176 = $4.18

Step-by-step explanation:

Giving the following information:

She adds up the prices listed on the menu for everything they ordered and gets a subtotal for $48.

Tax rate= 8.7% = 0.087

To calculate the Tax, we need to use the following formula:

Tax= total spend*tax rate

Tax= 48*0.087

Tax= $4.176 = $4.18

Answer:

4x+4y

Step-by-step explanation:

You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.

You'll get:

(2*2x)+(2*2y) = 4x + 4y

4x + 4y is an equivalent expression.

Answer:

From Year 1 to Year 4, the average rate of change of the population was about        61.8          bass per year.

Step-by-step explanation:

First you find 2% of 3000 which is 60

Next you  find 2% of 3060 =61.2

next 2% of 3120 =62.4

last 2% of 3180 is 63.6

then you find the average of all the number combined is 61.8

Do the same with the other problem

Answer:

Slope=10 Y=15

Step-by-step explanation:

Goes up by 10

Starts at 0,15

The slope of an equation is 10 and the y-intercept is 15. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the equation y= 10x + 15 represents a gym that charges.

By comparing y=10x+15 with y=mx+c, we get

Slope (m)=10 and y-intercept (c)=15

Therefore, option B is the correct answer.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ6

Answer:

I think your problem didn't copy correctly because you didn't provide a function. if you could provide it to me I would be glad to help and give you the answer.

I also do exams and quizzes if your interested

Answer:

y=-3x

Step-by-step explanation:

THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.

Answer:

[tex]\displaystyle m=\frac{-3}{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (8, 0)

Point (0, 3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

y=2x+3 x-y=-2

substituting y=2x+3 x-(2x+3)=-2

-x=-2-3

-x=-5

x=-5/-1

x=5

now substituting x=5

y=2x+3

y=2(5)+3

=10+3

y=13

Answer:

I'm so sorry I only found the area of the first triangle with the measurements 11, 10 and 17

I'll show you how to find the area

Step-by-step explanation:

The formula for a triangle is base x height divided by 1/2

For the first triangle the base is 11 and the height is 10

base(11) x height(10) = 110 then divide 110 by 1/2 = 55

so the area of the first triangle is 55.

Sorry again this is only the area of the first triangle.

Answer:

the graph is not exponential because exponential is represented as a form of exponenti growth or exponential decay. Exponential function has a slight curve rather than a straight line

Answer:

Step-by-step explanation:

We know that the area of the circle is 40 yards, so the area of the circle would be 40 yards.

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825

Answer:

hope this is what u want

and u find it helpful

Answer:

y = -2x - 4

Step-by-step explanation:

We transform the line equation of L:

2x + y = 3 --(-2x)--> f(x) = y = -2x + 3

We now know that L intersects the y-axis at 3 and it has a slope of -2.

In order to construct a parallel line M, it needs to have an identical slope to L.

All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).

Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:

f(x) = y = -2x - 4 for line M.

Answer:

Since x=−128/3 is a vertical line, there is no y-intercept and the slope is undefined.

Step-by-step explanation:

Hope it helps :)

Answer:

The employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

System of Equations

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

Answer:

240

Step-by-step explanation:

the answer is 240 bc if you divide 4 from 4:3 320/4 is 80 and use the 3 from 4:3 80x3 is 240

Answer:

40%

Step-by-step explanation:

(12/30)x100

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

Answer:

I can't see the figure.

Answer:

270 inches

Step-by-step explanation:

Multiply all sides

Given:

A hiking trail rises 6 feet for every horizontal change of 100 feet.

To find:

The slope of the hiking trail.

Solution:

We have,

Rise = 6 ft

Run = 100 ft

We know that

[tex]Slope=\dfrac{Rise}{Run}[/tex]

[tex]Slope=\dfrac{6}{100}[/tex]

[tex]Slope=0.06[/tex]

Therefore, the slope of the hiking trail is 0.06.

The slope of the hiking trail is equal to 0.06.

Given the following data:

To find the slope of the hiking trail, we would use the following formula:

Slope is the ratio of the vertical distance measured to the horizontal distance measured.

Mathematically, the slope of a hiking trail is given by the formula:

[tex]Slope = \frac{Rise}{Running}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]Slope = \frac{6}{100}[/tex]

Slope = 0.06

Read more on slope here: https://brainly.com/question/3514403

the answer is:

-5w - 12

Answer:

D   19 feet

Step-by-step explanation:

Let x = height of flagpole

tan 65 = x/9

9tan 65 = x

x = 19.3 ≅ 19 ft. to the nearest foot

Answer:

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Step-by-step explanation:

Let

Number of vegetarian wraps = x

Number of chicken wraps = y

x + y = 117 (1)

x + 1.5y = 135.50 (2)

Subtract (1) from (2) to eliminate x

1.50y - y = 135.50 - 117

0.50y = 18.50

y = 18.50/0.50

y = 37

Substitute y = 37 into (1)

x + y = 117 (1)

x + 37 = 117

x = 117 - 37

x = 80

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Answer:

I believe other question is right

Step-by-step explanation:

Answer:

Plot a point at the y-intercept.

Step-by-step explanation:

You start by plotting the y-intercept because you'll already have the value when you substitute x as 0 in the expression.

y = 0.5(0) -4

y = -4