A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

x^3 - 2x^2 - 5x + 6

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

Answer:

Step-by-step explanation:

(-4,0) (-2, -3)

(-3-0)/(-2+4)= -3/2

Answer:

-27.6

Step-by-step explanation:

I'm smart but probably shouldn't use my answer

Answer:

Can you be more specific if you can I will answer in the comments :)

Step-by-step explanation:

Answer:

y = -5x - 8

Step-by-step explanation:

Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.

[tex]\frac{y2 - y1 }{x2 - x1}[/tex]

Now plug in your points

[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]

Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.

Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept

2 = -5(-2) + b (b represents the y-intercept)

2 = 10 + b (subtract 10 from both sides)

-8 = b

The perpendicular line looks like this y = -5x - 8

Hope this helps ya! Keep smiling!

Answer:

The number of places correctly identified is 110 places

Step-by-step explanation:

The number of places he correctly identified will be;

11 + 4 + 86 + 9 = 110 places

By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5

so 4 will be 5

11 will be 10

86 will be 85

9 will be 10

Adding all of these together, we have

5 + 10 + 85 + 10 = 110

Answer:

Freddy is 40

his nephew is 17

Step-by-step explanation:

6+2n +n=57           6+2n or 6+2(17

6+3n=57                     6+34

3n=51                             40

n=17                                f=40

Answer:

450

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

The correct option is option C i.e., (1,3).

It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We have to check which ordered pair from given options is correct.

What do you mean by domain and ranges of a function ?

The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.

As per the question ;

A circle has the points ;

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

We know that ;

A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.

Also ;

The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.

Now ; check for relation.

Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.

So;

The correct option is C.

Thus , the correct option is option C i.e., (1,3).

To learn more about ordered pairs click here ;

https://brainly.com/question/13166732

#SPJ2

Answer:

C (1, 3)

Step-by-step explanation:

edge 2023

Answer:

-3/2

Step-by-step explanation:

Rise = -3

Run     2

Answer:hiiiii

Step-by-step explanation:

lol

Answer:

4.5 divide 100 x RM18000

4.5% is 810

810 x 3 = RM2430

RM 2430 is the total savings at the end of the year

Answer: X = 5

Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.

Answer:

The answer is 123

5

→

✔ 12 1/2

3

8

→

✔ 1/2

Martin's friend bought about  

✔ 6 ¼

pounds of grapes.

The number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Fractions are used to represent smaller pieces (or parts) of a whole.

Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.

Therefore, the amount that his friend bought will be:

= 3/8 × 12 3/5

= 3/8 × 63/5

= 189/40

= [tex]4\frac{29}{40}[/tex]

Hence,  the number of pounds of grapes that are bought will be  [tex]4\frac{29}{40}[/tex]  pounds.

Learn more about fraction on:

brainly.com/question/9695343

#SPJ6

Answer:

About 3%

Step-by-step explanation:

3% of $167,000 is $5,010

5010 times the 20 years is 100200 add that to the 167000 and you get $267,200

The actual answer is about 2.4% but 3% is the closest.

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

Answer:

The slope would be 0

Step-by-step explanation:

The y is the same, and it's not rising or running. The y will never change no matter what x is. Hope this helps!

Answer:

Total earned= $273

Step-by-step explanation:

Giving the following information:

Regular labor hours= $5.25

Overtime labor hours= $5.25*1.5= $7.875

To calculate the total earned, we need to use the following formula:

Regular labor hours= 40*5.25= 210

Overtime labor hours= 8*7.875= 63

Total earned= 210 + 63

Total earned= $273

Answer:

r = 0

Step-by-step explanation:

-32r + 8 = -8r + 8

-32r + 8r = 8-8

-24r = 0

divide both sides by -24

then the answer will be -- r = 0

Answer:

0

Step-by-step explanation:

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

Answer:

8 full practice

Step-by-step explanation:

Given that :

Morning Practice hours Total = 12 hours

Afternoon practice hours total = 14 hours

practice length = 3 hours

Hence, Number of full practices attended :

practice hours / practice length

Morning : 12 / 3 = 4 practice sessions

Afternoon = 14 / 3 = 4.666 sessions

Hence, number of full practice completed = 4 + 4 = 8

Answer:

hope this helps .enjoy the rest of your day.

Answer:

540°

Step-by-step explanation:

When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that always add up to 180°

A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...

180 x 3 = 540

Answer:

m=-1

Step-by-step explanation:

Answer: m = -1

Step-by-step explanation: Use the slope formula to find the slope m.

the answer is 3

could I get brainlisted?

Answer:

1/6

Step-by-step explanation:

ive seen that question b4

2 pounds of flour are required to make 1 recipe, as of the given condition.

Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.

Thus,  2 pounds of flour are required to make 1 recipe, as of the given condition.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5