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Gala2k [10]
3 years ago
12

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:  Second option is correct.

Explanation:

Since we have given that

f(x)=3x^4+2x^3-x^2+2x-19

And g(x)=x+2

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

x+2=0\\\\x=-2

So, we will find f(-2) which will give us the required remainder,

f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5

Hence, Second option is correct.

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Jess wants 180 cupcakes for her party. Jess has already made 60 berry cupcakes, and 48
Pavel [41]

Answer:

Hi! The answer to your question is 72 Cupcakes

Step-by-step explanation:

60+48 = 108

180 - 108 = 72

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

5 0
3 years ago
Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m
suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week                              1           2            3           4            5

             Water Level (inches) − 1 1 4     1 3 8      2 1 2      -1 5 8      -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = \frac{138 - 114}{2 - 1} = \frac{24}{1} = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = \frac{212 - 114}{3 - 1} = \frac{98}{2} = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = \frac{-158 - 114}{4 - 1} = -\frac{272}{3} = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = \frac{-134 - 114}{5 - 1} = -\frac{248}{4} = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = \frac{212 - 138}{3 - 2} = \frac{74}{1} = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = \frac{-158 - 138}{4 - 2} = -\frac{296}{2} = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = \frac{-134 - 138}{5 - 2} = -\frac{272}{3} = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = \frac{-158 - 212}{4 - 3} = -\frac{370}{1} = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = \frac{-134 - 212}{5 - 3} = -\frac{346}{2} = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = \frac{-134 + 158}{5 - 4} = \frac{24}{1} = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

7 0
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Find the distance between the two numbers on a number line. Write your answer as a decimal.
dangina [55]

Answer:

-0.574

Step-by-step explanation:

Subtract the two numbers to get the solution

7 0
3 years ago
IF A:B =2:3 AND B:C=6:7 THEN WHAT'S A:B:C?
saw5 [17]

Step-by-step explanation:

A:B:C

2:3

6:7

12:18:42

I think...

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