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klemol [59]
3 years ago
6

What is the range of this function?

Mathematics
2 answers:
nataly862011 [7]3 years ago
3 0

Answer:

{-4,-1,1,4,7,8,15,18}

Step-by-step explanation:

The range of this function is a universal set that contains all elements of each set

And is;

{-4,-1,1,4,7,8,15,18}

UkoKoshka [18]3 years ago
3 0

Answer: its actually (-4, 1, 7, 15)

Step-by-step explanation:

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Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following.
bonufazy [111]
4.
h(f(x)=h(2x-1)=
(2x-1)^2+1=
4x²-4x+1+1=
4x²-4x+2

5.
f(f(x))=2(2x-1)-1=4x-2-1=4x-3

6.
f o g (x)=f(g(x))
h o g (x)=h(g(x))=
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4 0
3 years ago
Find the area of the composite figure. (round to the nearest hundredth)
8090 [49]
We know that
[the area of composite figure]=[area of rectangle]+[area of a half circle]

[area of rectangle]=b*h
where
b=the base
h=the height 
[area of rectangle]=b*h--------> 4.1*8.6---------> 35.26 cm²

[area of a circle]=pi*r²
where 
r=the radius
r=4.1/2-------> 2.05 cm
the figure is a half circle
then 
[area of a half circle]=pi*r²/2--------> pi*2.05²/2--------> 6.60 cm²

[the area of composite figure]=35.26+6.60--------> 41.86 cm²

the answer is
41.86 cm² 

8 0
3 years ago
Integer greater than 2 and less than 12​
timurjin [86]

Answer:

{3, 4, 5, 6, 7, 8, 9, 10, 11}

Step-by-step explanation:

Let integer be x

x > 2 and x < 12

gives

2 < x < 12

All such integers are {3, 4, 5, 6, 7, 8, 9, 10, 11}

3 0
3 years ago
Find all numbers p such that p and p^2 are both prime. prove that you found them all
Anuta_ua [19.1K]

0 and 1 are neither prime nor composite. A prime is any number greater than 1 that has just 1 and itself as factors. Primes can only start at x > 1


When that happens (when you start with numbers greater than one) p^2 is a composite consisting of 2 primes, so any composite will obey the law that he number will have at least 3 factors making it up -- in this case p p^2 and 1.


So the answer to the question by definition is that 0 numbers can have the property of both p and p^2 to be prime.

5 0
3 years ago
Read 2 more answers
What equation in slope-intercept form represents the line that passes through
gregori [183]

Answer:

So, equation in slope-intercept form that represents the line that passes through  the points (1,3) and (2,5) is y=2x+1

Step-by-step explanation:

We need to write equation in slope intercept form that represents the line that passes through  the points (1,3) and (2,5)

The standard equation of slope-intercept form is: y= mx+b

where m is the slope of the lines and b is the y-intercept.

To make the equation we need to find slope (m) and y-intercept (b)

Find Slope

The formula to find slope m is: m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

We have x_{1}=1, x_{2}=2, y_{1}=3\ and \ y_{2}=5

Putting values in the formula to find slope

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\m=\frac{5-3}{2-1}\\m=\frac{2}{1}\\m=2

So, value of slope m is m=2

Find y-intercept

Using formula of slope-intercept formula we can find b

y=mx+b

Using point (1,3) (where x=1 ,y=3) and slope m=2

3=2(1)+b\\3=2+b\\b=3-2\\b=1

So, value of y-intercept b is: b=1

Required equation in Slope Intercept Form

We have slope m = 2 and y-intercept b=1

y=mx+b\\y=2x+1

So, equation in slope-intercept form that represents the line that passes through  the points (1,3) and (2,5) is y=2x+1

3 0
3 years ago
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