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DochEvi [55]
4 years ago
7

ms jenson surveyed her class and found that 2/3 of her students have a dog. of those who have a dog 1/4 also have a cat what fra

ction of the students has both the dog and the cat
Mathematics
1 answer:
larisa [96]4 years ago
3 0
1/6 of them is the answer.


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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
The moon is about 240,000 miles from earth . What is the distance written as a whole number multiplied by a power of ten
Murrr4er [49]
240,000 is a whole number. Now do the power of ten lol. Use a calculator. Remember don't do it all at once. The powers mean multiplying separate for example: 10×10 equals 100. I hundred times10 equals 1000. That is powered by three because it is multiplying 1030 different times which makes it the power. Simple math these days ha ha
6 0
3 years ago
​ 0.5(6d+10)=17 what is the value of d
mezya [45]
The value of D should be 4

4 0
3 years ago
This is for my mid term exam review but it’s #2 and it goes with the other question I answered
vodomira [7]

Answer:

B. 8 x 10^3

Step-by-step explanation:

1.6 x 10^5 / 0.2 x 10^2

= 160 000 / 20

= 8 000

You can write this as 8 x 10^3

3 0
2 years ago
When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Complete the table as you answer
Yuliya22 [10]

Answer:

1. 5 cups of yellow paint.

2. 15 cups of yellow paint to 3 cups of blue paint.

3. 1:5 is the proportional relationship.

4. 5 is the constant of proportionality, it represents the . of yellow cups of paint.

Step-by-step explanation:

sorry if 4 is wrong

8 0
3 years ago
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