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2 years ago

Hello everyone.

Mathematics

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

I Don't know either

Step-by-step explanation:

I know

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X=b+my solve for M literal equation

Oliga [24]

Answer:

m = $\frac{x-b}{y}$

Step-by-step explanation:

Given

x = b + my ( subtract b from both sides )

x - b = my ( divide both sides by y )

$\frac{x-b}{y}$ = m

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3 years ago

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Mr. Garcia went on a long drive. When he started, there were 9 gallons of gas in his tank. After he had driven 26 miles, there w

Lyrx [107]

Answer:

y=-1 x=26 (26,-1)

Step-by-step explanation:

We know that Mr. Garcia drives 26 miles per gallon, this means that the slope will be (26,-1)

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3 years ago

A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The

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B is the practical domain of the function

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3 years ago

Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Nastasia [14]

X－7y＝7
To find the x-intercept, substitute y＝0
x－7×0＝7
x－0＝7
x＝7
∴ the x-intercept of the line is (7,0)

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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