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Arada [10]
3 years ago
15

PLEASE HELP! I ONLY HAVE 8 MINUTES LEFT!

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0
The range is [4, infinity], {y|y greater than or equal to 4}
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If you add​ Natalie's age and​ Fred's age, the result is 36. If you add​ Fred's age to 4 times​ Natalie's age, the result is 72.
kozerog [31]

The known facts

  • the sum of Natalie's age and Fred's age is 36
  • the sum of Fred's age times four and Natalie's age is 72

Now, let's set up the equations where N is Natalie's age and F is Fred's age.

N + F = 36   ---- equation 1

N + 4F = 72 ---- equation 2

equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24

Thus Fred is 12 years old, and Natalie is 24 years old.

7 0
2 years ago
Read 2 more answers
Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an a
zaharov [31]

The missing part of the question is "For what amount of driving do the two plans cost the same"

The amount of driving that do the two plans cost the same is 450 miles

Step-by-step explanation:

Isabel will rent a car for the weekend. She can choose one of two plans

  • The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven
  • The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven

We need to find for what amount of driving do the two plans cost the same

Assume that she will drive for d miles

The first plan:

∵ The initial fee is $46

∵ The additional cost is 0.13 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $46 and the product of

   0.13 and d

∴ The cost = 46 + 0.13 d ⇒ (1)

The second plan:

∵ The initial fee is $55

∵ The additional cost is 0.11 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $55 and the product of

   0.11 and d

∴ The cost = 55 + 0.11 d ⇒ (2)

∵ The cost of the two plans is the same

- Equate (1) and (2) to find d

∴ 46 + 0.13 d = 55 + 0.11 d

- Subtract 46 from both sides

∴ 0.13 d = 0.11 d + 9

- Subtract 0.11 d from both sides

∴ 0.02 d = 9

- Divide both sides by 0.02

∴ d = 450

The amount of driving that do the two plans cost the same is 450 miles

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

5 0
3 years ago
16 inches to centimeters
asambeis [7]

Answer:

In centimeters, it would be 40.64 centimeters.

7 0
3 years ago
Read 2 more answers
If (x) = 3x - 2 and g(x) = 2x + 1, find (f+g)(x).<br> A. X-1<br> B. X-3<br> C. 5x-3<br> D. 5x-1
____ [38]

Answer:

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

Answer is C

3 0
3 years ago
Write the algebraic expression that matches each graph ...y = ___
Dvinal [7]

Answer:

"absolute value function," y = |x|

Step-by-step explanation:

This is the graph of the "absolute value function," y = |x|.

7 0
3 years ago
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