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UkoKoshka [18]
3 years ago
7

PLEASE HELP I HAVE 10 MINUTES LEFT

Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

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suppose the line segment whose endpoints are H(5,0) and I(-6,-3) is reflected over the y axis? what are the coordinates of H’I’?
padilas [110]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

H(5, 0 ) → H'(- 5, 0 )

I(- 6, - 3 ) → I'(6, - 3 )

7 0
3 years ago
HELP ASAP PLEASE & SHOW UR WORK!! THANK YOU <333
alekssr [168]

Answer:

              \bold{x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\quad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7}

Step-by-step explanation:

-2x^2-3x+4=0\\\\a=-2\,,\ b=-3\,,\ c=4\\\\\\x=\dfrac{-b-\sqrt{b^2\pm4ac}}{2a}=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(-2)(4)}}{2(-1)}=\dfrac{3\pm\sqrt{9+32}}{-2}\\\\\\x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\qquad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7

4 0
3 years ago
Parallel lines r and s are cut by two transversals, parallel lines t and u.
Fiesta28 [93]

Answer:

5 and 13

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
15. Rewrite the given functions in
Lisa [10]

15. The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17. The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Step-by-step explanation:

Any quadratic function has:

1. A vertex form form f(x) = a(x - h)² + k, where (h , k) are the

   coordinates of its vertex point

2. A standard form g(x) = ax² + bx + c, where a , b , c are constant and

   a is the coefficient of x², b is the coefficient of x and c is the

    y-intercept

3. the x-coordinate of the vertex point h = \frac{-b}{2a} and

    k = f(h)

15.

∵ f(x) = x² + 8x - 10

∴ a = 1 and b = 8

∵ h = \frac{-b}{2a}

∴ h = \frac{-8}{2(1)}=-4

∴ h = -4

∵ k = f(h)

∴ k = f(-4)

- Substitute x by -4 in f(x)

∴ k = (-4)² + 8(-4) - 10

∴ k = 16 - 32 - 10

∴ k = -26

∴ f(x) = (x - -4)² + (-26)

∴ f(x) = (x + 4)² - 26

The vertex form of f(x) = x² + 8x - 10 is f(x) = (x + 4)² - 26

17.

∵ g(x) = (x + 3)² - 4

- Lets solve the power 2 of the bracket:

 (1st + 2nd)² = (1st)(1st) + 2(1st)(2nd) + (2nd)(2nd)

∵ (x + 3)² = (x)(x) + 2(x)(3) + (3)(3)

∴ (x + 3)² = x² + 6x + 9

∴ (x + 3)² - 4 = (x² + 6x + 9) - 4

∵ 9 - 4 = 5

∴ (x + 3)² - 4 = x² + 6x + 5

The standard form of g(x) = (x + 3)² - 4 is g(x) = x² + 6x + 5

Learn more:

You can learn more about the vertex form of quadratic function in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Solve for x. x +1/2 = 3/4
Alexeev081 [22]

x + 1/2 = 3/4

set denominators equal:

x + 2/4 = 3/4

-2/4 for both sides:

x = 1/4

there you go! hope this helps!

4 0
3 years ago
Read 2 more answers
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