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3 years ago

Solve for m 4m-6(2m-3)=90

Mathematics

1 answer:

Zina [86]3 years ago

6 0

Answer:

m= -10.5

Step-by-step explanation:

4m-6(2m-3)=90

distribute 6

4m-12m+6=90

combine like terms

-8m+6=90

subtract 6

-8m=84

divide both sides by -8

answer

m= -10.5

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uranmaximum [27]

Answer:

m∠J = m∠Z = 46°

Step-by-step explanation:

m∠J = m∠Z = 46°

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3 years ago

Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.

7nadin3 [17]

Answer:

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

Step-by-step explanation:

Antiderivative F(x)

This is the integral of $F^{\prime}(x)$

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

$F(x) = \int (6 + 24x^3 + 18x^5) dx$

$F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K$

$F(x) = 6x + 6x^4 + 3x^6 + K$

F(1)=0

$F(X) = 0$ when $x = 1$ . We use this to find K.

$F(x) = 6x + 6x^4 + 3x^6 + K$

$0 = 6 + 6 + 3 + K$

$K = -15$

Thus

The antiderivative is $F(X) = 6x + 6x^4 + 3x^6 - 15$ .

7 0

3 years ago

A line passes through the point, (−8,7) and has a slope of −5/4. Please help...

o-na [289]

Answer:

5x + 4y + 12 = 0

Step-by-step explanation:

Start with the point-slope equation of a straight line: y - k = m(x - h):

Here we are given the point (h, k): (-8, 7) and the slope m = -5/4. Inserting this info into the equation give above, we get: y - 7 = (-5/4)(x + 8).

We must put this equation into "standard form" Ax + By + C = 0.

Multiply all three terms by 4 to remove fractions: 4y - 28 = -5(x + 8), or

4y - 28 + 5x + 40 = 0

Rearranging these terms, we get 5x + 4y + 12 = 0, which is the desired equation in standard form.

8 0

3 years ago

Finding the roots (zeros)

GenaCL600 [577]

Answer:

1.5 + 1.3228756555323i

1.5 - 1.3228756555323i

Step-by-step explanation:

y = ax^2 + bx + c

a = 1, b = -3, c = 4

Using the quadractic formula:

$\frac{-b±\sqrt{b^2-4ac} }{2a} \\\\= \frac{3±\sqrt{9-4(1)(4)}}{2(1)}\\\\= \frac{3±2.64i}{2}\\\\= 1.5 ± 1.32$

Note: Kindly ignore the A in the above solution ^

Hence, there is no real solution. It has complex roots.

<em>Feel free to mark this as brainliest! :D</em>

4 0

3 years ago

Find the point of diminishing returns (x comma y )for the function R(x), where R(x) represents revenue (in thousands of doll

riadik2000 [5.3K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The point of diminishing returns (x , y ) is (11, 21462)

Step-by-step explanation:

From the question we are told that

The function is $R(x) = 10,000 -x^3 - 33x^2 + 800x , \ \ 0 \le x \le 20$

Here R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars).

Now differentiating R(x) we have

$R'(x) = -3x^2 +66x + 800$

Finding the second derivative of R(x)

$R''(x) = -6x +66$

at inflection point $R''(x) = 0$

So $-6x +66 = 0$

=> $x= 11$

substituting value of x into R(x)

$R(x) = 10,000 -(11)^3 - 33(11)^2 + 800(11) ,$

$R(x) = 21462$

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

(11, 21462)

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3 years ago