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BaLLatris [955]
3 years ago
8

Divide x^4 + 7 by x - 3.

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

c

Step-by-step explanation:

Divide using synthetic division, remembering to place a zero to denote the terms x³, x² and x

Since division by (x - 3) then evaluate using h = 3

3 | 1  0  0  0  7

    ↓

    1    3  9  27 81

   ----------------------

    1  3  9  27  88 ← degree 3 polynomial

quotient = x³ + 3x² + 9x + 27 , remainder = 88 → c

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Xian and his cousin Kal both collect stamps. Xian has 52 stamps, and Kal has 68 stamps. The boys recently
s344n2d4d5 [400]

Answer:

In 4 months, they will both have 132 stamps.

Step-by-step explanation:

Let x = # of months

52 + 20x = 68 + 16x

4x = 16

x = 4

Plug x value into both expressions and see if it checks out

52 + 20(4) = 68 + 16(4)

52 + 80 = 68 + 64

132 = 132

7 0
3 years ago
Find an equation of the line having the given slope and containing the given point.
saul85 [17]

Answer:

y = 4x - 12

Step-by-step explanation:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept(value of x when y = 0).

In this question:

Slope 4, which means that m = 4.

So

y = 4x + b

Contains point (1,-8).

This means that when x = 1, y = -8. We replace this into the equation to find b. So

y = 4x + b

-8 = 4(1) + b

b = -12

So

y = 4x - 12

4 0
3 years ago
Which is the best estimate for the productof 190.3003x198.7
hichkok12 [17]
Round the numbers then multiply; 190.3003 is rounded to 190 and 198.7 is rounded to 199.
6 0
3 years ago
Betty and Dyan can pick 8 quarts of strawberries in 45 minutes if they work together. It takes Dyan x minutes to pick 8 quarts o
maks197457 [2]

Answer:

The answer is letter c.

Step-by-step explanation:

In order to know the answer, it is best to check what is given in the scenario above.

45 minutes = the time it takes for Betty and Dyan to pick 8 quarts of strawberries.

45x minutes= this refers to the time it takes for Dyan to pick 8 quarts of strawberries

In the rational expression, 45x-10, we've already known that 45x refers to minutes or the time it takes for Dyan to pick 8 quarts of strawberries, thus 10 here refers to minutes or time as well.

The mathematical operation used is<u> "subtraction,"</u> so this means that Betty takes a shorter time than Dyan when it comes to picking strawberries in the situation above.

Thus, the denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than Dyan.

8 0
4 years ago
Write a phrase as an algebraic expression six less than a number times 11
nadezda [96]

Let the number = x

11x is 11 times the number.  You are to take 6 less than this. Be careful how you read six less. It means the 6 is subtracted from the 11x

11x - 6 This is what you finally get.


7 0
3 years ago
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