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elena55 [62]
3 years ago
6

Consider the function f(x) = ax+3 over x-b.

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0
F ( x ) = ( a x + 3 ) / ( x - b )
Vertical asymptote: at x = - 1 the equation goes to infinity.
x - b = 0
- 1 - b = 0
- b = 1
b = - 1
Horizontal asymptote: at y = 2
\lim_{x \to \infty}  \frac{ax+3}{x-b}=2
It means that a = 2.


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geniusboy [140]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

     = - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

5 0
3 years ago
These statements are the congruence statements for right triangles: HA, LL, LA, and HL. You will need to use them for congruence
Crazy boy [7]
Hello There!

A hypotenuse and an acute angle define congruence:
HA
A hypotenuse and a leg define congruence:
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4 0
3 years ago
Read 2 more answers
The distance between the points (-10, -2) and (5,6) is
gavmur [86]

Answer: 17

Step-by-step explanation:

6 0
3 years ago
If 1/2 of a given number is 12, what is one third of a given number
gayaneshka [121]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Charlotte walked 1/2 of a mile in 1/4 of an hour. Compute the unit rate from the complex fraction 1/2 / 1/4 miles per hour. : )
tester [92]

The unit rate is 2 miles per hour

Step-by-step explanation:

The unit rate in this case will be found out by dividing the distance by time.

Given

Distance=d=\frac{1}{2}\\Time = t=\frac{1}{4}\\The\ unit\ rate\ will\ be:\\Unit\ rate=\frac{\frac{1}{2}}{\frac{1}{4}}

When there are fraction in the numerator and denominator, the fraction is simplified by multiplying the numerator fraction with reciprocal of the denominator fraction

Unit\ rate=\frac{1}{2}*4\\=2\ miles\ per\ hour

The unit rate is 2 miles per hour

Keywords: Unit rate

Learn more about unit rate at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

7 0
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