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den301095 [7]
3 years ago
10

What are the range values of the function f (x ) = 3x + 4 for the domain values {-5, -1, 0, 2, 7}?

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

Range values are:

{-11, 1, 4, 10, 25}

Step-by-step explanation:

Domain values are the possible x values that can be entered into the function, or the inputs.  Range values are the y values, or the outputs. By inserting every value in the set into the function, we get the outputs (y values)

-15 + 4 = -11

-3+4 = 1

0 + 4 = 4

6 + 4 = 10

21 + 4 = 25

Remember to put them in order.

You might be interested in
7 x-3(4 x-8)<6 x+12-9 x
kari74 [83]

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the <u>variable</u> to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the <u>constant</u> to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

6 0
2 years ago
What is the exact value of the expression the square root of 294. - the square root of 24. + the square root 54.? Simplify if po
dalvyx [7]
My solution to the problem is as follows:

sqrt(294) - sqrt(24) + sqrt(54) 
= sqrt(49 * 6) - sqrt(4 * 6) + sqrt(9 * 6) 
= sqrt(49)*sqrt(6) - sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6) 
= 7*sqrt(6) - 2*sqrt(6) + 3*sqrt(6) 
= (7 - 2 + 3)*sqrt(6) 
= 8*sqrt(6) 
= sqrt(64)*sqrt(6) 
<span>= sqrt(384)

= 8*sqrt(6)

Therefore, the answer is letter B, 8 square root of 6
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
6 0
3 years ago
You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 2916cm3. Deter
aleksklad [387]

Answer:

  x = 18 cm

  y = 9 cm

Step-by-step explanation:

An open-top box will have minimum surface area when it is in the shape of half a cube. The whole cube would have volume 2×2916 = 5832 cm³, so its side length would be ∛5832 cm = 18 cm.

The dimensions of the box are x = 18 cm; y = 9 cm.

__

The surface area is x^2 +4xy, where y = 2916/x^2. That is, the surface area is ...

  S = x^2 +11664/x

Setting the derivative to zero, we find ...

  dS/dx = 0 = 2x -11664/x^2

  x^3 = 5832 . . . . . . . . may look familiar

  x = ∛5832 = 18

  y = 2916/18^2 = 9

4 0
3 years ago
HELP! ASAP! Am I correct!?!?
LenKa [72]
It isn't because, it isn't consistent, and it doesn't follow any of the other answer choices. :)

3 0
3 years ago
Please help explain good luck
Tcecarenko [31]

Answer:

27

Step-by-step explanation:

Remember to follow PEMDAS. Note that, when multiplying or dividing:

1) one positive and one negative = negative number

2) two positive = positive number

3) two negative = positive number

(-7)(-5) = -7 * -5 = 35

+(-8) = +1 * -8 = -8

Subtract:

35 - 8 = 27

27 is your answer.

~

8 0
3 years ago
Read 2 more answers
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