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nasty-shy [4]
3 years ago
5

3.An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this funct

ion is defined only when x is greater than −1 and y is greater than 1, what are the domain and range of this function?
A.The domain is (−1,+[infinity]) and the range is (−1,+[infinity]).


B.The domain is (−1,+[infinity]) and the range is (1,+[infinity]).


C.The domain is (1,+[infinity]) and the range is (−1,+[infinity]).


D.The domain is (1,+[infinity]) and the range is (1,+[infinity]).



4.The function y=3x−6 is defined for all values of y less than 12. Determine the value of x that corresponds to the upper boundary y=12.


A.18


B.6


C.2


D.54


5.The function y=2x+5 is defined for every y-value that is not less than 11. What is the domain of this function?


A.(−[infinity], 3)


B.[3,+[infinity])


C.(3,+[infinity])


D.(−[infinity], 3]
Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

3.

C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])

4.

B. 6

5.

A. (-[infinity], 3)

Step-by-step explanation:

The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.

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Does this graph represent a function? Why or why not?
RoseWind [281]

Answer:

D

Step-by-step explanation:

There are no two points on the same line so the answer is D

I hope this is right!

6 0
3 years ago
7. The bottom of a river makes a V-shape that can be modeled with the absolute value function,
hjlf

Answer:

If one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

Step-by-step explanation:

Given that:

The absolute value function:

d(h) = \dfrac{1}{6}|h - 300| - 50

To calculate the position of the buoy where the river bottom is 20 feet below the surface, we equate the absolute value function to the negative value of 20 feet and then solve it for h.

d(h) = -20

d(h) = \dfrac{1}{6}|h - 300| - 50 = -20

Let us add the sum of 50 on both sides, then:

= \dfrac{1}{6}|h - 300| - 50+50 = -20+50

= \dfrac{1}{6}|h - 300| = 30

By multiplying 6 on both sides, we have:

|h - 300| = 30 (6)

|h - 300| = 180

We can attempt the above expression by rewriting it as two equations:

h - 300 = 180   or     h  - 300  = - 180

Let us add 300 to both sides from the two expressions above:

h - 300 + 300 = 180 + 300     or   h - 300 + 300   = -180  + 300

h = 480     or  h = 120

Thus, if one buoy is placed 120 feet away from the left shore, then the distance of the second buoy from the left shore = 480

8 0
3 years ago
The graph shows the number of paintballs a machine launches, y, in x seconds:
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Fraction 4 over eighty
4 0
3 years ago
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24 is 40%of what number
sladkih [1.3K]
60. 

Because 60x0.40 is 24
5 0
2 years ago
Suzy has a collection of quarters and dimes. Together she has 44 coins worth $6.95. How many quarters and how many dimes does Su
OverLord2011 [107]
X = quarters
y = dimes

0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44

25x + 10y = 695
25 (x + y = 44)

25x + 10y = 695

25x + 25y = 1,100

-15y = -405
y = 27 dimes
and 17 quarters
6 0
3 years ago
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