Find the range of the function f(x) = 3x - 8
if the domain is {-4, 2, 7).

Answers

Answer 1

Answer:

f(-4)=3(-4)-8

f(-4)=-12-8

f(-4)=-20

f(2)=3(2)-8

f(2)=6-8

f(2)=-2

f(7)=3(7)-8

f(7)=21-8

f(7)=13

R=(-20, -2, 13)

Answer 2

The range of the function when  f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).

Calculation of the range:

Since

f(-4)=3(-4)-8

f(-4)=-12-8

f(-4)=-20

Now

f(2)=3(2)-8

f(2)=6-8

f(2)=-2

Now

f(7)=3(7)-8

f(7)=21-8

f(7)=13

So,

R=(-20, -2, 13)

hence, The range of the function when  f(x) = 3x - 8 and the domain is {-4, 2, 7) is (-20, -2, 13).

learn more about range here; https://brainly.com/question/13455383


Related Questions

A nature center has a fish tank in the shape of a rectangular prism. The tank is 10 feet long, 8 ¼ feet wide, and 6 feet tall. The nature center's caretaker filled 80% of the tank with water. What was the volume of the water in the tank, in cubic feet?

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Answer:

Do you know theh answer??

Step-by-step explanation:

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Step-by-step explanation:

The answer is...

Please look at picture

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Answer:

By sum interior angle of triangle is equal to third exterior angle hence

z = x + y

No find x and y

Sum triangle is 180 degree

Can some please help 17-19 please

Answers

Answer:

Step-by-step explanation:

17.  2(x+6)  common factor is 2

18.  8(3+y-2w) common factor is 8

19. 2(7-4m)

15 POINTS‼️‼️‼️

Part B: Solve for x. Show your work.

Answers

Answer:

Step-by-step explanation:

A straight line adds up to 180 degrees, therefore 3x+6x = 180

9x = 180

x = 20

Which expressions are polynomials?
Select each correct answer.

2 + s

4x^3 + y

x^2 - x squared + 2

y

Answers

Answer:

The third one

Step-by-step explanation:

Marsha had $4.00 in her pocket in the
morning, and Mark had $0.50. Marsha
sells her sweets for $0.25 each, and
Mark sells his for $0.50 each.
If Marsha and Mark both sold the
same number of sweets, and they
have the same amount of money at
the end of the day, how many sweets
did they each sell?

PLEASE EXPLAIN

Answers

They would both have to sell 14 candies.

Step-by-step explanation:

They both sell 14 candies

Triangle DEF with vertices D(2, 6), E(5, 6)and F(5, 1). Write the coordinates of triangle D’E’F’ after a

reflection over the y-axis.

Answers

Answer:

The coordinates of triangle after reflection over y-axis

 D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Step-by-step explanation:

Explanation:-

Given that DEF with vertices D(2,6), E(5,6), and F(5,1)

Given that the triangle DEF reflection over the 'y' - axis then  transformed into

( x,y) → (-x,y)

Now,

D(2,6) → D¹( -2 ,6)

E(5,6)→ E¹( -5 ,6)

F(5,1)→ F¹ (-5,1)

Final answer:-

The coordinates of triangle after reflection over y-axis

 D¹( -2 ,6) , E¹( -5 ,6) , F¹ (-5,1)

Find the following for the function f(x)= 3x2 + 4x - 3.
(a) f(0)
(e) -f(x)
(b) f(3)
(f) f(x + 2)
(c) f(-3)
(g) f(3x)
(d) f(-x)
(h) f(x + h)

Answers

Step-by-step explanation:

a. -3

e. -3x^2 -4x +3

b 27+12-3= 36

f. 3(x+2)^2 + 4(x+2) -3

c. 27-12-3= 12

g. 3(3x)^2 + 4(3x) -3

d. 3x^2 -4x -3

h. 3(x+h)^2 + 4(x+h) -3

The all values of the function f(x)= 3x² + 4x - 3 are f(0) = -3 ,-f(x)  = -3x² -4x +3, f(3) = 27+12-3= 36 ,f(x + 2)=  3(x+2)² + 4(x+2) -3 ,f(-3)=  27-12-3= 12,f(3x) = 3(3x)² + 4(3x) -3,f(-x) = 3x² -4x -3,f(x + h) = 3(x+h)² + 4(x+h) -3.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

a) f(0) = -3

(e) -f(x)  = -3x² -4x +3

(b) f(3) = 27+12-3= 36

(f) f(x + 2)=  3(x+2)² + 4(x+2) -3

(c) f(-3)=  27-12-3= 12

(g) f(3x) = 3(3x)² + 4(3x) -3

(d) f(-x) = 3x² -4x -3

(h) f(x + h) = 3(x+h)² + 4(x+h) -3

For more about the function,

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Three even numbers sum up to 108. The smaller is half the larger and the middle number is 3/4 the larger. What
are the three numbers

Answers

Answer:

Step-by-step explanation:

Represent the three even numbers as 2x, 2y, 2z, where x,y,z are integers.

2x+2y+2z = 108

x+y+z = 54

Let x≤y≤z

x = z/2

y = ¾z

z/2 + 3z/4 + z = 54

2z/4 + 3z/4 + 4z/4 = 54

2z + 3z + 4z = 216

9z = 216

z = 24

x = z/2 = 12

y  = ¾z = 18

The numbers are 24, 36, 48

Find the value of x
25 points

Answers

Answer:

[tex]x = 2.5[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

To solve for x, we make use of the following equivalent ratio

[tex]x :3.5 = 5 : 7[/tex]

Express as fractions

[tex]\frac{x}{3.5} = \frac{5}{7}[/tex]

Make x the subject

[tex]x= \frac{5}{7}*3.5[/tex]

[tex]x= \frac{5}{2}*1\\[/tex]

[tex]x = 2.5[/tex]

The Bluejay Apartments is a new development and is in the process of structuring its lease agreements. The company would like to set the damage deposits high enough that tenants will keep the apartments in good condition. The company is actually more concerned about damage than about tenants not paying their rent.
a) Discuss the tax effects of the following alternatives:
i. $1,000 damage deposit with no rent prepayment�
ii. $500 damage deposit and $500 rent for the final month of the lease
iii. $1,000 rent for the final two months of the lease and no damage deposit
b) Which option do you recommend

Answers

Answer:

The Bluejay Apartments

1. Tax Effects of the following Alternatives:

i. $1,000 damage deposit with no rent prepayment

No tax will be paid by The Bluejay Apartments until the deposit will no longer be refunded.

ii. $500 damage deposit and $500 rent for the final month of the lease

Tax will be paid on the rental income of $500 and on the $500 if it will no longer be refunded.  If it is taken as part of the rent income for a month, then tax will be paid on a total income of $1,000.

iii. $1,000 rent for the final two months of the lease and no damage deposit

Tax will be paid on the rent income of $1,000.

b) From a tax point of view, option i is recommended.

Step-by-step explanation:

According to the IRS, a security or damage deposit is not taxable when it is received by the landlord.  It becomes taxable income when the landlord is no longer obligated to return it to the tenant.  The reason a damage deposit is not taxed is that it is recorded as an asset and not an expense or income.

3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?

Answers

Answer:

[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]

Step-by-step explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.  

[tex]\frac{6-2}{7- (-1)}=\frac{4}{8}=\frac{1}{2}[/tex]

So now we have the equation [tex]y=\frac{1}{2} x+b[/tex], and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

[tex]2=\frac{1}{2}(-1)+b[/tex]

Rearrange the equation so it equals b

[tex]\frac{5}{2}=b[/tex]

Put it together and that's the final equation!

[tex]y=\frac{1}{2} x+\frac{5}{2}[/tex]

I am having trouble!!!!

Answers

Answer:

23.24

Step-by-step explanation:

If the width is 3.4, the radius is 1.7.

7.2-1.7=5.5

Rectangle = 5.5x3.4=18.7

Half circle = 1/2x3.14x1.7²=4.5373

18.7+4.5373=23.2373

Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)?

Answers

Answer:

[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=tan(x)-\frac{2}{x}[/tex]

[tex]g(x)=x^2+8[/tex]

We have to find [tex]f(x)\times g(y)[/tex]

To find the value of [tex]f(x)\times g(y)[/tex] we will multiply f(x) by g(y)

[tex]g(y)=y^2+8[/tex]

Now,

[tex]f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)[/tex]

[tex]f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)[/tex]

[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]

Hence,

[tex]f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}[/tex]

Can someone help me............................

Answers

Answer:

a), and d)

Step-by-step explanation:

[tex](x^{2}) * (\sqrt{x}) = (x^{2}) * x^{1/2} = x[/tex]

6-3y + (-9y) +4.7
Please help

Answers

the answer is 10.7−12y

Step-by-step explanation:

6-3y+(-9y)+4.7

6-3y-9y+4.7

collect like terms

-3y-9y+4.7+6

-12y+10.7

hope it's helpful ❤❤❤

THANK YOU.❤

A spinner with 12 equally sized slices has 4 blue slices, 3 red slices, and5 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a blue or red slice?

Answers

There are 12 possible slices that it can stop on...it has 4 chances of stopping on a red one and 3 chances of stopping on a red one, so it has 7 out of 12 chances of stopping on a red or blue one (or 7/12). 7/12=58.33%

f(x)=x^2-x^3
what's the value of f(-2)

Answers

(-2)^2-(-2)^3

=4-(-8)

=4+8

=12

Answer:

Step-by-step explanation:

f(-2) = (-2)^2 - (-2)^3

      = 4 - (-8)

      = 4 + 12

       = 16

Which expression is the simplest form of 5(x-3)-3(2x+4)/9 ?
A. -x-3/9
B. -x-27/9 C.11x-27/9
D.-x-3

Answers

Answer : D. -x - 3

Explanation :

5(x - 3) -3(2x + 4) / 9
5x - 15 - 6x - 12 / 9
-1x - 27 / 9
-1x - 3 which is also -x - 3

0.203 x 0.14 help plz, help plz

Answers

Answer:

0.02842

Step-by-step explanation:

0.203×0.14

Multiply 0.203 and 0.14 to get 0.02842.

0.02842

Answer:

0.02842 is the answer

Step-by-step explanation:

multiply 0.203 x 0.14 = 0.02842

-4.5=a-8


Pleaseeee help

Answers

Answer:

A=3.5

Step-by-step explanation:

Add 8 to both sides to get A by itself and A=3.5

Answer:

a=3.5

Step-by-step explanation:

-4.5=a-8

-4.5+8=a

a=3.5

A 6-sided die is rolled. What is the probability of rolling a 3 or a 5?
Select one:
a. 2
b.
C.
1
36
O
d.

Answers

Sine there are six sides and 3 and 5 are two of the sides you would get a 3 or 5 2 out of 6 times or 2/6. This can be reduced to the fraction 1/3 so there is a 1/3 probability of rolling either a 3 or 5.

35 = 5n
solution with work shown! please help as fast as you can

Answers

I think................n=7..........

Answer:

what are you finding? n?

Step-by-step explanation:

35 = 5 x n

bring over

35/5 = n

7 = n

if you are finding n, this is the answer

hope it helps

VERY QUICK HELP!!!! A toy pyramid has the dimensions shown below. The base of the pyramid is an equilateral triangle. What is the surface area of this pyramid?

Answers

Answer: 102cm²

Step-by-step explanation:

Area of base = 6 × 7 ÷ 2 = 21

Area of lateral face = 6 × 9 ÷ 2 = 27

Since all of the sides of the base are equal, we can multiply the area of 1 lateral face by 3 to get the area of all the lateral faces.

27 × 3 = 81.

Now we add up the area of the base and the lateral faces.

21 + 81 = 102cm²

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.

Answers

Answer:

y=36+12x

Step-by-step explanation:

I should be y=36+12x

33.3% of what number is 32

Answers

Answer:

10.656

Step-by-step explanation:

the percentage of a number 33.3 percent of 32 would be 10.656.

Find the equation of a parabola whose vertex is at (−1, 7), whose axis of symmetry is
x = −1, and whose y-intercept is (0, 10). Write your answer in vertex form.

Answers

Answer:

Step-by-step explanation:

The axis of symmetry is vertical, so the parabola is vertical.

Vertex-form equation for a vertical parabola with vertex (h,k):

y = a(x-h)² + k

axis of symmetry: x = h

Apply your data and solve for h, k, and a.

vertex (-1,7)

h = -1

k = 7

y = a(x+1)² + 7

(0,10) is a point on the parabola

10 = a(0+1)² + 7

a = 3

The equation becomes

y = 3(x+1)² + 7

what is :
2x + 10 = ?

Answers

Answer:

x = -5

Step-by-step explanation:

2x = -10

x = -10/2

x = -5

If is Factories so the answer is 2(x+5)

And if is not so the answer is 5

If you score a 99, what percentage of the population scored above you?

Answers

Answer:

1%

Step-by-step explanation:

Answer:

1% pf the population scored above you

Step-by-step explanation:

make brainliest

Which inequality is represented by this graph?
A. X > 3
B. X ≥ 3
C. X > 4
D. x ≥ 4

Answers

Answer:

D. is the correct answer because it is greater than for 4 And also includes it

Answer:

D

no explanation lol I know its D

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