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Rufina [12.5K]
3 years ago
5

Which is the domain and range of: f(x)=8x+7

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Given the function, f(x) = 8x + 7:

Since it is a linear function, it doesn’t have any constraints or undefined points. Thus, the <em><u>domain</u></em> is all real numbers as x-values.

Domain:  interval notation: (-∞, ∞)

Set notation: {x | x ∈ R}

The same goes for the <u><em>range</em></u>: all real numbers are valid as outputs (y-values).

Range: interval notation: (-∞, ∞)

Set notation: {y | y ∈ R}

Please mark my answers as the Brainliest if you find my explanations helpful :)

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the population pf a city is 2,500. if the number of males is 240 more than the number of females how many males and females are
Masteriza [31]

You need to represent the number of males in terms of females.

Explanation:

Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.

So then the number of males is <span>f+240</span> and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: <span>f+<span>(f+240)</span>=2500</span>. I put the number of males in brackets there just to make it easy to recognize.

This equation can be condensed into <span>2f+240=2500</span> and then solved:

<span>2f=2500−240</span>
<span>f=<span><span>2500−240</span>2</span></span>
<span>f=1130</span>

Then, we know the number of females, and we can solve for the number of males from here using our male formula: <span>males=f+240</span>. You should then get 1370 as the number of males.

Checking this answer, we see that 1130 + 1370 does equal 2500.


5 0
4 years ago
Simplify ((–3)^2)^3 <br><br><br> A. (–3)^6 <br> B. (3)^6 <br> C. (3)^5 <br> D. (–3)^5
makkiz [27]

Answer:

A and B

Step-by-step explanation:

using the law of exponents

• (a^m)^{n} = a^{mn}, hence

((-3)^2)^{3} = (-3)^{6} → A

note that (- 3)² = 9 = 3², hence

(-3)^2)^{3} = (3²)³ = (3)^{6} → B




5 0
3 years ago
Read 2 more answers
4 1/3<br> What is the value of this equation?
sweet [91]

Answer:

4.33

Step-by-step explanation:

1/3=0.33 recuring

4 just eqauls 4

so you add 0.3 recuring to 4

and depending on significant figures it wants you round it ill assume it wants 3 and go 4.33

5 0
3 years ago
Write 10:5 as a ratio in its simplest form
melamori03 [73]

Answer:

its simplest form for the question is 2:1

3 0
3 years ago
How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x
Lena [83]

9514 1404 393

Answer:

  the y-intercepts differ

Step-by-step explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

__

<em>Additional comment</em>

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

5 0
3 years ago
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