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dimaraw [331]
3 years ago
15

Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Given the function g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}, we see that (x-5) appears in both the numerator and denominator which cancel out to be \frac{-7(x-5)(x+6)}{(x+5)}. This means that there's a vertical asymptote at x=-5 for the denominator to be 0.

Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.

In conclusion, option D is correct.

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Please help me! I need this answered fast!
ArbitrLikvidat [17]

Answer:

Question 1: A

Question 2: C

Step-by-step explanation:

The answer to question 1 is A. I know this is correct because Max needs to earn 108 dollars for the headphones he wants so the amount of money he earns per hour which is 15, times the amount of hours he needs to work which is x has to be greater than 108. So, the inequality equation has to be 15x > 108 which is answer A.

The answer to question 2 is C. I know this is correct because Felicia has 2 sisters which make 3 sisters in total to pay for the gift. They all pay evenly, so the first part of the equation would be 3x. The cost for the gift is less than 80 dollars, so we write the inequality equation like 3x < 80 which is answer C.

7 0
3 years ago
Use this expression to name each item. 7m3 + 6r2 – 3r - 8
Vitek1552 [10]

Answer:

In the given expression 7m^3 + 6r^2 - 3r - 8

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Step-by-step explanation:

We are given the expression 7m^3 + 6r^2 - 3r - 8

We need to give variable, coefficients and constant.

Variable: The value of variable may change. It can be represented by x, y or any other letter

Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient

Constant: It is fixed value. It cannot be changed.

So, in the given expression 7m^3 + 6r^2 - 3r - 8

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

4 0
3 years ago
Factor the algebraic expression.<br> 20a + 12
Studentka2010 [4]

Answer:

32a

Step-by-step explanation:

20a + 12 = 32a

Hope this helps..

4 0
3 years ago
Read 2 more answers
Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x + 5 and passes through (-9, 5)
vladimir2022 [97]
Find the slope of line 1
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m = 1/3

Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3

Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8

The equation is y = (1/3)x + 8
7 0
3 years ago
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laiz [17]

Answer:

undefined

Step-by-step explanation:

f(x) does not handle the 0 case because 0 is less than 1 and greater than -4

5 0
3 years ago
Read 2 more answers
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