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liubo4ka [24]
3 years ago
7

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function

Mathematics
2 answers:
gogolik [260]3 years ago
4 0
F(x) = 2x - 6
-6 is the y-intercept
2 is the slope
ELEN [110]3 years ago
4 0
-6 is the yintercept
2 is the slop
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Please find this answer ​
Semenov [28]

Answer: I cant see the picture so I cant help sorry

Step-by-step explanation:

3 0
2 years ago
A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year. This situation
lubasha [3.4K]

Answer:

This situations represents the depth of the lake after t years.

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount is given by:

D(t) = D(0)(1-r)^t

In which D(0) is the initial amount and r is the decay rate, as a decimal.

A lake currently has a depth of 30 meters. As sediment builds up in the lake, its depth decreases by 2% per year.

This means that D(0) = 30, r = 0.02

So

D(t) = D(0)(1-r)^t

D(t) = 30(1-0.02)^t

D(t) = 30(0.98)^t

This situation represents

The depth of the lake after t years.

The rate of growth or decay, r, is equal to

The rate of decay is equal to 0.02 a year.

So the depth of the lake each year is times the depth in the previous year.

1 - 0.02 = 0.9

So the depth of the lake each year is 0.98 times the depth in the previous year.

It will take between years for the depth of the lake to reach 26.7 meters.

This is t for which D(t) = 26.7. So

D(t) = 30(0.98)^t

26.7 = 30(0.98)^t

(0.98)^t = \frac{26.7}{30}

\log{(0.98)^t} = \log{\frac{26.7}{30}}

t\log{(0.98)} = \log{\frac{26.7}{30}}

t = \frac{\log{\frac{26.7}{30}}}{\log{0.98}}

t = 5.77

It will take 5.77 years for the depth of the lake to reach 26.7 meters.

4 0
2 years ago
In chole’s closet there are 10 shirts and 15 shirts
olasank [31]

  • Shirts=10
  • Shorts=15

Ratio:-

  • 10:15=2:3

#2

  • Total items=10+15=25

Ratio:-

  • 10:25=2:5

#3

Ratio of Chris=4:5

If we take decimals

  • 2/3=0.6
  • 4/5=0.8

Approximately they are equal

4 0
2 years ago
What is the decimal form of the fraction?
Shtirlitz [24]

Answer:

0.3182

Step-by-step explanation:

0.3182 is a decimal and 31.82/100 or 31.82% is the percentage for 7/22.

6 0
3 years ago
After dinner 2/3 of the corn bread is left suppose 4 friends want to share it equally. What fraction names how much of whole pan
Bogdan [553]
Each person would get 1/6 of the pan of corn bread that was left.  2/3 divided by 4= 1/6
3 0
3 years ago
Read 2 more answers
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