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2 years ago

WHAT IS THE VALUE OF THE EXPRESSION 8 MORE THEN 3 TIMES THE DIFFRENCE OF 4 AND A NUMBER WHEN N=3

Mathematics

1 answer:

kogti [31]2 years ago

6 0

The value of the expression as described in the task content is; 11.

<h3>What is the value of the expression?</h3>

The expression as described in the task content is; 3(4 - N) +8.

However, the value of N in this scenario is; 3.

Therefore, the value of.the expression is;

3(4 - 3) +8

= 3(1) + 8

= 3+8

= 11.

Read more on value of expressions;

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Will mark as brainiest answer!!!!! Please show work as to how you found the answer

Alchen [17]

(2,8) and (-2,10)

y₂ - y₁ used to find the slope
x₂ - x₁

plug in the coordinates
10-8 = 2 all equals -1/2
-2-2 = -4 m=-1/2

plug one of the coordinates and the slope into y=mx+b, and solve
8=-1/2(2)+b
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Read 2 more answers

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 $b_{2} \approx 0.232$ .

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