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2 years ago

Divide x5+15x4+54x3−25x2−75x−34 by x+8.

Mathematics

1 answer:

Wittaler [7]2 years ago

3 0

we are given

$x^5+15x^4+54x^3-25x^2-75x-34$

divide by x+8

we can use long division

so, we will get

$Quotient=x^4+7x^3-2x^2 -9x-3$

$Remainder=-10$

we can also write it as

$\frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8}$ ..............Answer

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The automaker of your new car recommends an oil change following the first 5,000 miles and then every 3,000 miles thereafter. If

Jlenok [28]

To determine how many oil changes you will need the first year, you can calculate the number of miles driven the first year and then use that to determine how many groups of 3000 miles you will drive after the first 5000 miles.

1. 52 x 250 = 13000 miles

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3. 8000 miles - 3000 miles (1 oil change) - 3000 miles (1 oil change) = 2000 miles

The first year, you will need 3 oil changes.

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2 years ago

Habib is making some scones.

sergeinik [125]

Answer:

$180^\circ C$

Step-by-step explanation:

To convert from degree Fahrenheit to Celsius, we use the formula:

$^\circ C=\dfrac{5^\circ F-160}{9}$

If Habib's recipe is to be baked at 356 degree Fahrenheit, then we substitute F=356 to obtain an equivalent value in degree Celsius.

$\text{Temperature in }^\circ C=\dfrac{5^\circ F-160}{9}\\=\dfrac{5*356-160}{9}\\=\dfrac{1780-160}{9}\\=\dfrac{1620}{9}\\\text{Temperature in }^\circ C=180^\circ C$

Habib should bake his scones at $180^\circ C$ .

6 0

2 years ago

Read 2 more answers

Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probabili

zlopas [31]

Answer:

The correct answer to the following question will be "0.438".

Step-by-step explanation:

Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.

Although each student becomes independent of one another, we may conclude:

"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40

Given:

Number of surveys

= 12

Exactly 4 students have taken chemistry:

$=P(X\leq4)$

$=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)$

$=\Sigma_{0}^{4} C_{r}(0.4)^r(0.6)^{12-r}$

On substituting the above equation, we get the probability of approximately "0.438".

So that the above would be the appropriate answer.

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2 years ago

Emma needs to divide 7 by 1/2. Which strategy can Emma use to get the answer?

Juliette [100K]

Answer:

Step-by-step explanation:

Convert the fraction into a decimal

1/2 = 0.5

Divide

7/0.5 = 14

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2 years ago

1. Sarah has an average of 92.5 for her 3 science tests. What does she need to make on the 4th test to get a 94% average.

zheka24 [161]

1) set up a problem
you know you want to get an avg of 94 but how do you do avg in the first place. you add up the numbers then divde by the total number of numbers used lol

so $\frac{92.5+x}{2}=94$
92.5 is the avg number for the last 3 tests
"x" is the 4th test score which we want to find out
"2" is the total number of numbers being added together

so now lets get x to one side

92.5+ x=94*2 (multiply 2 to both sides)
92.5+x=188
x=188-92.5 (subtract 92.5 from both sides)
x= 95.5 this is the score she need to make to avg 94%

2) you can draw a tree diagram. for example Flower1 branches off into 3 diff greens and then each of those greens branch off into 2 for with or with babies breath.

or you can simple multiply 4*3*2. you can do this because all choices are included with no restriction

your total number of options is 24

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2 years ago