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bekas [8.4K]
3 years ago
9

Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.

Mathematics
1 answer:
True [87]3 years ago
3 0

Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation:

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(x + 40)<br> (3x)<br> What is value of x
EastWind [94]

Answer:

Step-by-step explanation:

multiply both sides  by 3x

3[x+40]x[x+40]

3x +120+x(square)+40x

43x+120+x(square)

quadractic equation

x(square)+43x+120

(x+40x+)(3x+120)

x(1+40)3(1+40)

x:3 or 40

7 0
3 years ago
A company rents out 13 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The f
Stella [2.4K]

Answer:

2000 + 321d

Step-by-step explanation:

It is stated that there are 13 food booths and 27 game booths.

The fee for a food booth is a flat 50 dollars. There are 13 food booths. SO

13 x 50 = 650 -----> This is one part of our expression.

Next, it is 6 dollars per day per food booth, and there are 13 food booths. SO

13 x 6d =78d   (Note that it says that D can be used for the number of days)

Next, we need to solve for the game booths. A game booth also has a flat fee of 50 dollars. There are 27 of them.

50 x 27 = 1350 -----> This is the second part of our equation.

Next we need to calculate the amount per day per game booth.

9d x 27 = 243d. Putting all of these together, we get ---->

1350 + 650 + 243d + 78d

Adding all these up together, we get:

2000 + 321d

Note: I double checked my work, put a comment if you want me to show my double checking. ALSO Moderators, please don't delete this answer. It took a lot of work to make it. It would also help if you give me brailiest.

6 0
3 years ago
Matt and Mark went to El Rodeo to have some dinner. Matt ordered 3 tacos and 2 enchiladas, which cost him $4.93. Mark ordered 2
lord [1]

Answer:

The cost of one taco is $0.87 and the cost of one enchilada is $1.16

Step-by-step explanation:

Let the cost of tacos be X

and cost of enchiladas be y

So, by using given data, we have following equations

3X + 2Y = 4.93             (1)

2X + 4Y = 6.38             (2)

So, first multiply 1st equation by 2 and 2nd equation by 3, then subtracting 1st equation by 2nd.

= 2 × ( 3X + 2Y = 4.93)       (1)

= 3 × (2X + 4Y = 6.38)        (2)

= - (6X + 4Y = 9.86)              (1)

= 6X + 12y = 19.14            (2)

= 8Y = 9.28

Y = 9.28 ÷ 8 = 1.16

By putting the value of Y in equation 1, we get

3X + 2(1.16) = 4.93

3X + 2.32 = 4.93

X = 2.61 ÷ 3 = 0.87

Hence, the cost of one taco is $0.87 and the cost of one enchilada is $1.16.

8 0
3 years ago
What is the input value for which the statement f(x) = g(x) is true ?
Sauron [17]
X=1.5 is the answer. 
....................
4 0
3 years ago
Read 2 more answers
Today, everything at a store is on sale. The store offers a 30% discount.
KiRa [710]
The regular price of the hat is $18.20?
7 0
3 years ago
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