Which expression represents the area of this figure in square feet?

Answer:

Simplify:

[tex]\frac{( {x}^{2} + 6x + 9) }{x - 3} [/tex]

Factoring:

[tex] {x}^{2} + 6x + 9[/tex]

The first term is, x2 its coefficient is 1 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3

[tex] {x}^{2} + 3x + 3x + 9[/tex]

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

3 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x+3)

Which is the desired factorization.

Multiply (x+3) by (x+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as [tex](x+3) {}^{1}[/tex]

and 1 , as (x+3) is the same number as[tex](x + 3) {}^{1} [/tex]

The product is therefore, [tex](x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} [/tex]

Answer:

1 - quarts of juice for 5.82 (the first one)

2 - 9.84 for a 12 pack of batteries (the second one)

3 - 24-pack of pencils for 2.64 (the first one)

4 - $2.46 for a 12-ounce jar of jam (the first one)

Step-by-step explanation:

Have a nice day

Answer:A

Step-by-step explanation:

X=7 because 7-3 = 4, 7+8= 15,15x4=60.

Answer:

3x^2+15x-1=0

Step-by-step explanation:

4/(3x+15)=4x

4=12x^2+60x

12x^2+60x-4=0

3x^2+15x-1=0

Please solve after that, I cannot do everything for you

Answer:

The requirements for taking out a loan tend to be very strict, and therefore, an impressive internship program would not be something that can meet the requirements to obtain a loan of $6500.

Step-by-step explanation:

1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, that loan would not meet the requirements.

Is it necessary?

No, travelling can be done by other means.

Do the monthly payments fit in your budget?

Maybe

Could you save instead of borrow?

Yes saving for the whole year is better than borrow.

Is it worth the added interest?

No, its not worth the added interest.

All of the answers indicate that the loan does not meet the requirements.

Paying a huge amount of interest for something which is not that necessary is useless.

https://brainly.com/question/1658653

https://brainly.com/question/9302251

16-8=8

Step-by-step explanation:

Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.

Answer:

HWHAHAHAHA hatdog

jejdisisisiwis

Answer:

4.5 + 19.75 = 24.25

Find your missing digits with the equation above

Answer:

55 degrees

Step-by-step explanation:

if u and v are parallel and cut by the transversal in the middle the two angles would be congruent or equal to each other , therefore the angle in question is also 55

2 + 6 + 18 + 54 + ...

 This is a geometric sum and there is a way to find the sum of however many terms as you would like.

 The initial term is S1 = 2, the ratio of successive terms is r = 3.

 The sum for a geometric sequence of the first n terms is given by

 Sn = S1(1 - rn)/(1 - r)

Apply this formula for n = 10.

Step-by-step explanation:

So we are given 2 coordinates.

so in a linear equation, we have the given function:

y=mx+b

thus we should have an x value and a y value.

So let's set x to be the hours and y be the cost

With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2

so with that being said,

7.75-5.5/7-4=m

2.25/3=m

.75=m

This is our slope.

Our formula will look like this: y=0.75x

Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked

y=0.75(3)

y=2.25

The cost to park for 3 hours will be $2.25

Hope This Helps :D

Answer:

All pairs of corresponding sides are congruent

Step-by-step explanation:

∠A≅∠D

∠B≅∠E

∠C≅∠F

Answer:

They are similar by AA

Step-by-step explanation:

Angle B and C are similar as well as angle ABE and DCE are similar

Answer:

A and D

Step-by-step explanation:

a.

3x - 7y = -14

-7y = -3x -14

y = 3/7x + 2

b.

y - 4 = -1/4 (x + 4)

y - 4 = -1/4x -1

y = -1/4x + 3

c.

y + 5 = 3 (x + 2)

y + 5 = 3x + 6

y = 3x + 1

d.

y = -7x + 2

Answer:

22.22%

Step-by-step explanation:

2/7 = 0.22222...

Convert to a percent - move decimal over by 2

22.22

Answer:

≈ 28.57%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , that is

[tex]\frac{2}{7}[/tex] × 100%

= [tex]\frac{2(100)}{7}[/tex]

= [tex]\frac{200}{7}[/tex]

≈ 28.57% ( to 2 dec. places )

Answer:

the left side is the answer

Answer:

u = 20, v = 1

Step-by-step explanation:

Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.

Therefore:

[tex]v+23=u+4\\19v+41=2u+20[/tex]

Now, you can simply solve the system of equations for v and u.

I will solve by substitution:

[tex]v+23=u+4\\v=u-19[/tex]

Now, plug that into the other equation:

[tex]19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20[/tex]

Finally, plug that back into the first equation:

[tex]v+23=20+4\\v+23=24\\v=1[/tex]

u = 20, v = 1

Answer:

b

Step-by-step explanation:

The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.

Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

The difference in money made by company from first quarter to second is

700,000-343,000

= +357,000

Therefore, the correct answer is option D.

Learn more about the subtraction here:

brainly.com/question/2346316.

#SPJ4

Step-by-step explanation:

4 1/2 = 9/2

so, the calculation is simply how often 3/4 fits into 9/2.

and that is done by division :

9/2 / 3/4

and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.

so,

9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6

so, without any breaks the teacher can schedule 6 lessons each night.

Answer:

thats really great! its simple!

Great! How about your question?

Answer:

whats the question

Step-by-step explanation:

Answer:

B. the mosquito transforms into a butterfly

Step-by-step explanation:

Since mosquitos and butterflies are entirely different insects, one cannot transform into the other. Mosquitos never take on a butterfly's coloring, habits, or even purpose during their lifetime.

I hope this was incredibly helpful! Tell me if you need any further assistance...

( :

[tex] \: \: \: \: \: \: [/tex]

[tex] = 432[/tex]

Step-by-step explanation:

[tex] {6}^{3} + {6}^{3} [/tex]

[tex]2 \times {6}^{3} [/tex]

[tex]2 \times 216[/tex]

[tex] = 432[/tex]

[tex] \: \: \: \: \: \: [/tex]