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Lana71 [14]
1 year ago
11

The rational function has a y-intercept of 7. What is the equation for this function?

Mathematics
1 answer:
Schach [20]1 year ago
0 0

Answer:

\large\boxed{f(x)=\dfrac{4}{x+2}+5}

Step-by-step explanation:

f(x)=\dfrac{a}{x-b}+c\\\\\text{We have}\\\text{(1) the vertical asymptote}\ x=-2.\ \text{Therefore}\ b=-2.\\\text{(2) the horizontal asymptote}\ y=5.\ \text{Therefore}\ c=5.\\\text{(3) the point (0, 7). Put the coordinates of the point to the equation}\\\text{of the function}\\y=\dfrac{a}{x-(-2)}+5\\\\7=\dfrac{a}{0+2}+5\qquad\text{subtract 5 from both sides}\\\\2=\dfrac{a}{2}\qquad\text{multiply both sides by 2}\\\\4=a\to a=4\\\\\text{Finally:}\\\\f(x)=\dfrac{4}{x+2}+5

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Find the measured of the numbered angles in the rectangle. Geometry Chapter 7.4
stira [4]

Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

8 0
1 year ago
There are 225 calories in 5 candies.<br> How many calories are in 3 candies?
Eddi Din [679]

Answer:

135 calories in 3 candies

7 0
1 year ago
Read 2 more answers
What is the value of x in the figure shown below?
maks197457 [2]

Answer:

the answer of x is equal to200

8 0
1 year ago
Am so confused is it A or D and this lesson is 7.8 plz answer and if u want you can explain why it is A or D .
kogti [31]
Subtract to get your answer.
So, 3 1/6- 1 4/6
Make improper fractions so easier to subtract
19/6-10/6=9/6= 1 3/6
So your answer is A.
(It couldn’t be D because that’s more than you even started with.)
6 0
1 year ago
The value of y varies directly with x, and y= -10 when x=40. Identify the value of y when x=-5
scoray [572]

Answer:

y = 1.25

Step-by-step explanation:

Use the direct variation equation y = kx, and solve for k:

y = kx

-10 = k(40)

-0.25 = k

So, the equation is y = -0.25x. Solve for y when x = -5

y = -0.25x

y = -0.25(-5)

y = 1.25

So, y = 1.25 when x = -5

8 0
11 months ago
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