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2 years ago

9

The equation c = 2000 + 3r represents the cost in dollars (C) of producing remote

1 answer:

ladessa [460]2 years ago

8 0

Answer:

The cost of producing 1000 remote controls is $5000.

Step-by-step explanation:

You have to substitute r = 1000 into the expressions :

$c = 2000 + 3r$

$let \: r = 1000$

$c = 2000 + 3(1000)$

$c = 2000 + 3000$

$c = 5000$

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A manufacturer knows that their items have a normally distributed length, with a mean of 10 inches, and standard deviation of 1.

kobusy [5.1K]

Answer:

0.0047

Step-by-step explanation:

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3 years ago

For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

Forty is what percent of 50?<br><br> worth 11 pts.

RoseWind [281]

The answer is 40 is 80% of 50 ☺

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2 years ago

Read 2 more answers

Eliott is 63 inches tall, which is 9 inches taller than his cousin,Jackson. Write and solve an addition equation to find Jackson

olasank [31]

To find Jackson's height, you subtract 9 from 63 which gives you 54. 63-9=54

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3 years ago

Use the midpoint formula to find the midpoint between the following 2 points<br> R(6,-6) and G (4,2)

Likurg_2 [28]

Answer:

(5,-2)

Step-by-step explanation:

6+4=10

10/2=5

-6+2=-4

-4/2=-2

3 0

3 years ago