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3 years ago

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Mathematics

1 answer:

lesya [120]3 years ago

3 0

Don’t listen to the scams

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What is an equation of the line that passes through the point (-1, 4) and is parallel

alexgriva [62]

Answer: y = 2

Step-by-step explanation:

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2 years ago

How much principal must be deposited in a 2 year simple interest account that pays 1.75% interest to earn $300 in interest?

ollegr [7]

Answer:

Step-by-step explanation:

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3 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago

At another school they sell a different brand of gift wrap which costs $2 per package and cards for $5 per package. Your friends

zhenek [66]

Hi there,

5x?=110 ?=22

how? 110/5=22

now 2x?=110

110/2=55 ?=55'

so we know now that people bought 22 packages with card and 55 w/th out cards!

so no we need to divide 695/both

695/5=139 packages with cards

695/2=347 packages without cards

SO

139 packages with card

347 packages without card

8 0

3 years ago

What is the perimeter of a triangle with the given side lengths? s1 = x – 3 ft s2 = x 2 ft s3 = x 4 ft

choli [55]

The perimeter of the triangle with those given lengths is $x7-3$

4 0

3 years ago