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777dan777 [17]
3 years ago
11

Identify the graphed linear equation.

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

Process

1.- Find two points of the line

   A ( 0, 1)

   B ( 1, -3)

2.- Find the slope of the line

    m = \frac{y2 - y1}{x2 - x1}

    m = \frac{-3 - 1}{1 - 0}

    m = \frac{-4}{1}

           m = -4

3.- Find the equation of the line

            y - y1 = m (x - x1)

            y - 1 = -4( x - 0)

            y -1 = -4x

            y = -4x + 1

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
3<br>Which of these is equivalent to 4<br>81 <br>64 <br>44 <br>12​
jek_recluse [69]
The answer is 44. ! Your welcome
8 0
3 years ago
Question 1 of 10 Jerry drew AJKL and AMNP so that K = ZN, ZLE ZP, JK = 6, and MN = 18. Are AJKL and AMNP similar? If so, identif
butalik [34]

Answer:

This is the answer I got

Step-by-step explanation:

JK / KL = MN / NP 6 / 4 = 18 / 12

Now u cross multiply. if both numbers are equal, they are similar. In this case, they are similar. 6 x 12 = 4 x 18

72 = 72

though the two corresponding sides of the triangles mentioned are proportional (proportionality being 1:3 ) but they need not be similar

for similarity either the third corresponding sides must be proportional or the included angle between the two proportional sides must be equal

5 0
3 years ago
A furniture set has a bed, desk, and dresser. there 5 are beds, 2 desks, and 1 dresser how many different bedroom sets could you
alexandr1967 [171]

Answer:

One

Step-by-step explanation:

Each set is supposed to have one of each. Since there is only one dresser, you can only select one bedroom set.  

4 0
3 years ago
There is 2.50m of rope and 11.5 inch pieces are cut. How many centimeters of rope will be left over?
Alborosie

Answer:

1.42 cm

Step-by-step explanation:

2.5 m = 98.4251 inches

98.4251 in / 11.5 in =8.5587

  .5587 inches left over =1.42 cm

4 0
2 years ago
Read 2 more answers
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