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nikitadnepr [17]
2 years ago
13

Which of the following graphs represents a function with a domain of (-∞, ∞) and a range of (-∞, ∞)?

Mathematics
2 answers:
umka21 [38]2 years ago
6 0
The negative infinity for the x coordinate states that the graph should move to the bottom and the y coordinate is positive infinity so that the graph goes up

the first graph is your answer
alex41 [277]2 years ago
6 0

Answer:

option A

Step-by-step explanation:

Domain is the set  of all x values and range the set of all y values where the function is defined.

In the first option we have graph on both  sides of x. we have graph y for all x values . So, domain is (-∞, ∞)

There is no restriction for y. the graph is for all y values

So range is (-∞, ∞)

In the second option, the graph is above y axis so range is [0,∞)

In the third option, we have graph only for positive value of x

so domain is [0,, ∞)

In the fourth option , the graph is above y axis so range is [0,∞)

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Can someone rewrite the expression x^2 * x^-12 in the form of x^n. Pleasee
Ganezh [65]

Answer:

x^ -10 or 1/x^10

Step-by-step explanation:

5 0
3 years ago
The ratio of two numbers is 4:5 if the larger number is 300 what is the smaller number​
yaroslaw [1]

Answer:

The smaller number is 240.

Step-by-step explanation:

The question says that the larger number is 300, so 5 has to be 300.

4:5

?:300

You can use cross-multiplication or find the scale factor to find the answer.

Cross-multiplication:

4 × 300 ÷ 5 = 240

Finding the scale factor:

300 ÷ 5 = 60

4 × 60 = 240

The smaller number is 240.

6 0
2 years ago
Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b
joja [24]
Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8
4 0
2 years ago
Simplify (4x+5y)(2x-3y)+3xy<br><br> Help
amid [387]

Answer:

8x² - 15y² + xy

Step-by-step explanation:

(4x + 5y) (2x - 3y) + 3xy

multiplying the terms in brackets

(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy

multiplying with each terms inside the bracket

(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy

doing the product each of the pair of terms

8x² - 12xy + 10xy - 15y² + 3xy

taking the sum of terms with coefficient "xy"

8x² - 15y² -2xy + 3xy

8x² - 15y² + xy


3 0
2 years ago
Jeremy is having his basketball team over for an end-of-season party. He has $80 to spend on pizza and soda. Pizzas cost $13.99
Lapatulllka [165]

Answer:

13.99p + 4.49s ≤ 80

Step-by-step explanation:

Pizza is p and soda is s.  If he has only $80 to spend on a combination of both, he cannot obviously spend more than that.  Therefore, the inequality sign is "less than or equal to".  He can spend 80, but he can also spend less than 80.  He cannot spend anything over that, since he doesn't have it to spend!

If pizzas are represented by p, and we know the cost of each one is 13.99, we represent one pizza as 13.99p; if the cost of sida is 4.49 per case, we represent one case as 4.49s.  

The sum of these cannot exceed 80, so the inequality, then, is:

13.99p + 4.49s ≤ 80

5 0
3 years ago
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