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3 years ago

Select an equation that passes through the point (5,7) and is perpendicular to the line x=4

Mathematics

1 answer:

alexandr1967 [171]3 years ago

8 0

y = 7

x = 4 is a vertical line parallel to the y- axis passing through all points with an x- coordinate of 4

A line perpendicular to x = 4 will be a horizontal line parallel to the x- axis with equation y = c where c is the value of the y- coordinate the line passes through.

line passes through (5 , 7) with y- coordinate 7

The equation is therefore y = 7

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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

A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?

Stells [14]

The axis of symmetry is the fold line that splits the parabola down the middle.

Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.

So if we know the axis of symmetry is x = 3 and one of our points

has the coordinates (5, 0), the other point will have the coordinates (3, 0).

The axis of symmetry is always halfway between the x-intercepts.

6 0

3 years ago

The expression (8-3)^2-(5-2)^2 is equivalent to what numerical expression

Tresset [83]

(8-3)²-(5-2)²
Follow the PEMDAS
P-Parenthesis
E-Exponents
M/D-Multiplication/Division
A/S-Addition/Subtraction
clear the numerals in the parenthesis:
(5)²-(3)²
Now do the exponents:
=25-9
=16
Its just: (5)²-(3)²

7 0

3 years ago

Mrs. Bautista invested Php2700.00 part at 8% and the rest at 11% .How musch did she invest at each rate if her total annual inco

Margarita [4]

Answer:

The answer to the question is

She invested

Php2700.00 at 8 % and

Php 20,400.00 at 11 %

Step-by-step explanation:

To solve the question we note that

Simple interest is given by $\frac{P*R*T}{100}$ where

P= Principal, R = Rate and T = Time

If we call the first part P₁, T₁, and R₁ and the second part

P₂, T₂, and R₂

Then ${P_1*(1+R_1*T_1}) +{P_*(1+R_2*T_2}) = 2460.00$

= 2700×0.08×1 + P₂×0.11×1 = 2460 which gives

2244÷0.11 = P₂ or P₂ = Php 20,400.00

That is she invested

Php2700.00 at 8 % and

Php 20,400.00 at 11 %

5 0

3 years ago

What is the 20th term of the sequence that begins -5,15,-45, 135. ?

larisa [96]

The 20th term in the sequence should be 5811307335.
Hope I didn't mess up for your sake

6 0

3 years ago