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maw [93]
3 years ago
10

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 5 units,

the value of k is ________.

Mathematics
1 answer:
raketka [301]3 years ago
5 0
5. The value of k is the same of b in the original linear equation formula (y=mx+b). The b (or k here) changes where the equation itself fits on the graph. If a +0 is replaced with a -5, then the equation is shifted down by five units. I've graphed it below for you (where f(x) is in red and g(x) is in blue). Hope this helps!

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Debra travels a distance of 2 miles in 1 minute how much distance can she cover in 25 minutes
Marta_Voda [28]

Debra will travel 50 miles in 25 minutes

Step-by-step explanation:

Given

distance = 2 miles

Time = 1 minute

Other time = 25 minutes

We can use the proportions to find the number of miles debra will travel in 25 minutes

So,

Distance:Time::Distance:Time\\2:1::Distance:25\\\frac{2}{1} = \frac{Distance}{25}\\Distance = 25 *2\\= 50\ miles

Hence,

Debra will travel 50 miles in 25 minutes

Keywords: Proportion, rate

Learn more about proportion at:

  • brainly.com/question/4528757
  • brainly.com/question/4480478

#LearnwithBrainly

8 0
3 years ago
Write the following comparison as a ratio reduced to lowest terms.<br> 114 hours to 13 days
kicyunya [14]

The ratio of 114 hours to 13 days is 19:52.

<h3>How to calculate the ratio?</h3>

It should be noted that ratio is simply used to show the comparison between two things that are illustrated.

In this case, we want to calculate the ratio of 114 hours to 13 days. It should be noted that 24 hours make one day. Therefore, 13 days will be:

= 13 × 24 = 312 hours.

The ratio of 114 hours to 13 days will be:

= 114 / 312

= 19 / 52

The ratio is 19:52.

Learn more about ratio on:

brainly.com/question/2328454

#SPJ1

6 0
10 months ago
Solve Quadratic Equations by Factoring:
mr_godi [17]

Answer:

  1. x = 0 or 1
  2. x = ±i/4
  3. x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

5 0
2 years ago
Because of three scarf is 26. 25. What is the unit price?
Dimas [21]
Each scarf costs $8.75.
5 0
3 years ago
Your aunt is asking your help in figuring out how to
Marizza181 [45]

Answer:

650

Step-by-step explanation:

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2 years ago
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