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3 years ago

Question Help

1 answer:

6 0

Set R(x) equal to C(x). Solve the resulting equation for x, paying attention to the domain of C(x):

Solve 200x-2x^2 = -x^2 + 25x + 31000 for x greater than or equal to zero but less than or equal to x. That means you must reject any solution outside of this domain.

Rearrange all of these terms on the left side of your equation and place zero on the right side. Next, rearrange all of the terms on the left side in descending order by powers of x. Next, solve the resulting quadratic equation. Make certain to reject any x that does not fall within [0,100].

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Solve the equation, then enter your value for x for your answer.(round any decimal points to the nearest tenth) 6x+7-2x=x+100 I

mixas84 [53]

Answer:

x = 31

Step-by-step explanation:

6x+7-2x = x+100

4x+7 = x+100

3x = 93

x = 31

5 0

3 years ago

An eagle 311 feet in the air spots its prey on the ground. The angle of depression to its prey is 15°. What is the distance betw

Step2247 [10]

I think the answer is 1,161 feet

Sorry if that’s incorrect, but here’s the explanation in case you need it:

The tangent of a triangle is the opposite leg over the adjacent leg. 311 is the opposite leg, and X would be the adjacent leg. So 311 divided by x is equal to tan 15. If we rearrange this to be equal to X, X equals 311 divided by tan 15. Tan 15 is equal to 0.2679, so 311/0.2679 = 1,160.6. That amount rounds up to 1,161, giving you the answer of 1,161 feet.

3 0

2 years ago

Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters

vodomira [7]

Answer:

The answer to your question is 12.55 cm

Step-by-step explanation:

Data

Adam Cara

height = 159 cm height = 140 cm

shadow = 105 cm shadow = x

Process

1.- To solve this problem use the Thales' theorem

Cara's shadow / Cara's height = Adam's shadow / Adam's height

- Substitution

x / 140 = 105 / 159

-Solve for x

x = 105 (140) / 159

-Simplification

x = 14700 / 159

x = 92.45 cm

Cara's shadow is 92.45 cm long.

2.- If both shadows are in line, then Cara must walk forward

105 - 92.45 cm

12.55 cm

4 0

2 years ago

Trig please help.

iris [78.8K]

Answer:

24, 40

Step-by-step explanation:

The area of a triangle is given by the formula

$A=\frac{1}{2}bh$

where

b is the length of the base

h is the length of the height

For the 1st triangle here, we have:

b = 6 is the base

h = 8 is the height

So, the area of the triangle is

$A_1=\frac{1}{2}(6)(8)=24$

For the 2nd triangle here, we have:

b = 8 is the base

h = 10 is the height

So, the area of the triangle is

$A_2=\frac{1}{2}(8)(10)=40$

4 0

3 years ago

An employee makes a gross salary of 48,000 per year 15% of that money goes toward taxes of the employee invest 20% of his gross

kolezko [41]

First calculate his gross salary after his 401k contributions:
$x = 48000 - (48000 \times 0.20) \\ x = 38400$

Then find the amount of taxes withheld:
$t = 38400(0.15) \\ t = 5760$

5,760 dollars went towards taxes.

6 0

2 years ago

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