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4 years ago

HOW DO I SOLVE THIS?? What would the answer be?? THANKS!

Mathematics

1 answer:

Arisa [49]4 years ago

7 0

Convert 300% into decimals. So move the decimal point 2 times to the left and you get 3.00 and multiply it by 5 and square it because area of square is s^2

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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

4 years ago

Can a triangle have angle measures as 140,43, and 7

Mariulka [41]

The angles in a triangle always add up to exactly 180 degrees. To see if this can be a triangle, add up the given angle measures. If the sum is not 180, then it cannot be a triangle.

140+43+7=190

A triangle CANNOT have the angles measures as 140, 43, and 7.

Hope this helps!!

3 0

3 years ago

Help me please hurry

tatuchka [14]

Answer:

61°

this triangle is split in half and forms 2 triangles. These triangles must be congruent since they are each excatly half of this rectangle

Therefore, <2 is going to be equal to the m< the corresponding angle in the other triangle. <2 = 61°

<2 is also equal to 61° by the interior angles theorem

Step-by-step explanation:

5 0

3 years ago

PLEASE HURRY!!

lapo4ka [179]

First statement is correct and the second is not correct

7 0

3 years ago

Write n+6 in a word phase

Delvig [45]

The sum of a number and 6.

Or

The sum of n and 6

7 0

4 years ago