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2 years ago

WHATS THE SLOPE OF THE RED LINE AND THE BLUE LINE?? and is the line parallel?? PLEASE I NEED THIS DONE

Mathematics

2 answers:

Yakvenalex [24]2 years ago

8 0

Answer:

The slopes of both lines are 2/3, and since they have different y-intercepts they are parallel.

Step-by-step explanation:

In order to find slope, you need to find the rise and run of the line, since slope is rise/run. Lets use the red line as an example: There are two points , (0,1) and (-2,-1) where there are solid points. Once you locate solid points, you can then count how many units up or down (rise) and how many left or right (run). If you do this on paper the lines should form a right triangle with the line as the hypotenus. Since we went up 2, right 3, the slope would be 2/3.

Hope this helps :)

Tema [17]2 years ago

4 0

The line is Nor Parnell since it is side waysblkejsdjsjnw

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2 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 $b_{2} \approx 0.232$ .

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Zepler [3.9K]

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To learn more about percentages, please check: brainly.com/question/25764815

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