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klasskru [66]
3 years ago
14

Solve the polynomial equation = 3

Mathematics
1 answer:
Leno4ka [110]3 years ago
4 0

Answer:

lol the is no equation there to solve

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Sammy and his family took a hiking trip to the mountains. They started out with 20 pounds of food. They plan on eating 4 pounds
Vlad [161]

Answer:

The answer is r = 20 - 4d

Step-by-step explanation:

They started out with 20 pounds of food and consume 4 pounds each day which implies after d number of days, they would have consumed 4d pounds.

Hence, the remaining amount of food (r) = 20 - 4d

4 0
3 years ago
One angle of a linear pair is 10 more than two-thirds the other angle. Find the measure of both angles.
nata0808 [166]

Answer:

102° and 78°

Step-by-step explanation:

let one angle be x then the other angle is

\frac{2}{3} x + 10 ( 10 more than two-thirds the other angle )

A linear pair of angles sum to 180°, hence

x + \frac{2}{3} x + 10 = 180

\frac{5}{3} x + 10 = 180 ( subtract 10 from both sides )

\frac{5}{3} x = 170

multiply both sides by 3 and divide by 5

5x = 510

x = 102

The 2 angles are x = 102° and

\frac{2}{3} x + 10 = \frac{2}{3} × 102 + 10 = 68 + 10 = 78°

As a check : 102 + 78 = 180 → correct



4 0
3 years ago
For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in
baherus [9]

Answer:

The marginal cost at the given production level is $49.9.

Step-by-step explanation:

The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).

We have that the cost function is given by

C(x) = 15000 + 50x + \frac{1000}{x}

So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.

C'(x)=\frac{d}{dx}\left(15000+50x+\frac{1000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\C'(x)=\frac{d}{dx}\left(15000\right)+\frac{d}{dx}\left(50x\right)+\frac{d}{dx}\left(\frac{1000}{x}\right)\\\\C'(x)=0+50-\frac{1000}{x^2}\\\\C'(x)=50-\frac{1000}{x^2}

When x = 100, the marginal cost is

C'(100)=-\frac{1000}{100^2}+50\\\\C'(100)=\frac{499}{10}=49.9

6 0
3 years ago
write an equation in slope-intercept form for the line that passes through (-2,5) and is perpendicular to the line described by
Rama09 [41]

Answer:

<h2>         y = ¹/₂x + 6</h2>

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = - 2x + 6  ⇒   m₁ = - 2

m₁m₂ = -1

-2m₂ = -1

m₂ = ⁻¹/₋₂ = ¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = ¹/₂

(-2, 5)  ⇒  x₁ = -2,  y₁ = 5

So the equation in point-slope form:

                                                  y - 5 = ¹/₂(x - (-2))

Therefore:

y - 5 = ¹/₂x + 1

y = ¹/₂x + 1 + 5

<h3>y = ¹/₂x + 6</h3>
4 0
3 years ago
Evaluate.<br><br> 102+6⋅7+8<br><br> 70<br><br> 142<br><br> 150<br><br> 190
Gwar [14]
First you have to solve the multiplication:
102 + 6*7+8 = 102 + 42 + 8
At last you have to add all:
102 + 42 + 8 = 152

7 0
3 years ago
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