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Rudik [331]
2 years ago
5

What is the sum of the polynomials? (9x4−13x3−x−7)+(7x3−2x+1) A.) −6x^6+9x^4−3x^2−6 B.)−6x^6+9x^4−x−8 C.)9x^4−6x^3−x−8 D.)9x^4−6

x^3−3x−6
Mathematics
2 answers:
Ostrovityanka [42]2 years ago
7 0

The answer to the question above is :

D.) 9x^4−6x^3−3x−6

Explanation: In adding polynomials, you have to directly add the similar terms. Always remember that you cannot add dissimilar terms. That is why the correct answer is letter D.

irinina [24]2 years ago
5 0
(9x^4-13x^3-x-7)+(7x^3-2x+1)=
9x^4-13x^3-x-7+7x^3-2x+1=
9x^4+(-13+7)x^3+(-1-2)x-7+1=
9x^4+(-6)x^3+(-3)x-6=
9x^4-6x^3-3x-6

Answer: Option <span>D.)9x^4−6x^3−3x−6</span>
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Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Tatiana [17]

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

8 0
2 years ago
How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?
lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

6 0
2 years ago
Read 2 more answers
he data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. {5, 3
sergeinik [125]

The best measure of center tendency for this set of data would be the median. It is the best measurement because the data set has an outlier. The outlier is the 30. So to find the median we first order the data set and then find out if the set is an even or odd set. This set is even so we just chose the middle number. If the set was even, we would add the two center number and divide them by 2.

3, 3, 4, 4, 4, 5, 5, 5, 30

The center tendency = 4

8 0
3 years ago
Read 2 more answers
Dina is arranging 45 wedges of cheese on 7 plates. Each plate has the same number of wedges.
slamgirl [31]
C. 3.

7 × 6 = 42.

45 - 42 = 3.
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2 years ago
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Tickets for a certain show cost ​$17​, ​$21​, ​or, for VIP​ seats, ​$40. If ten times as many ​$17 tickets were sold as VIP​ tic
lawyer [7]

Answer:

Tickets sold:

VIP =126

$17 tickets =1,260

$21 tickets =9\cdot 126+57=1,191

Step-by-step explanation:

Let x be the number of VIP tickets.  

If ten times as many ​$17 tickets were sold as VIP​ tickets, then the number of $17 tickets is 10x.

If the number of ​$17 tickets sold was 57 more than the sum of the number of ​$21 tickets and VIP​ tickets, then 10x+57=x+y and the number y of $21 tickets is 9x+57.

Amounts earned:

VIP tickets =\$40x

$17 tickets =\$17\cdot 10x=\$170x

$21 tickets =\$21\cdot (9x+57)=\$(189x+1,197)

Total =\$(40x+170x+189x+1,197)=\$(399x+1,197)

The sales of all three kinds of tickets would total ​$51,471, so

399x+1,197=51,471\\ \\399x=51,471-1,197\\ \\399x=50,274\\ \\x=126

Tickets sold:

VIP =126

$17 tickets =1,260

$21 tickets =9\cdot 126+57=1,191

8 0
3 years ago
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