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umka21 [38]
3 years ago
6

Determine the intercepts of the line. y-6= 4( + 5) y-intercept: z-intercept

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

  1. (0, 26)
  2. (-6.5, 0)

Step-by-step explanation:

Turn the equation into slope-intercept form [ y = mx + b ].

y - 6 = 4(x + 5)

y - 6 = 4x + 20

y = 4x + 26

We know that b = y-intercept for the y-intercept is 26.

Substitute 0 for y to find the x intercept.

0 = 4x + 26

-26 = 4x

-6.5 = x

Best of Luck!

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Timothy purchased a computer for $1,000.
scoundrel [369]

Answer:

This situation represents [a.) exponential decay

The rate of growth or decay, r, is equal to  c.) 0.2

So the value of the computer each year is g.) 80% of the value in the previous year.

It will take [i.) 3 years for the value of the computer to reach $512.

Step-by-step explanation:

Since the value depreciates each year, it represents exponential decay.

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

Depreciates 20%, so r = 0.2.

So the value of the computer each year is ... of the value in the previous year,

Depreciates 20%, so it is 100% - 20% = 80% of the value in the previous year.

It will take x years for the value of the computer to reach $512.

The value of the computer after x years is given by:

V(x) = V(0)(1-r)^x

In which V(0) is the initial value and r is the decay rate. So

V(x) = 1000(1-0.2)^x

V(x) = 1000(0.8)^x

We want to find x for which V(x) = 512. So

V(x) = 1000(0.8)^x

512 = 1000(0.8)^x

(0.8)^x = \frac{512}{1000}

(0.8)^x = (0.512)

Applying log to both sides:

\log{(0.8)^x} = \log{(0.512)}

x\log{0.8} = \log{(0.512)}

x = \frac{\log{0.512}}{\log{0.8}}

x = 3

So it will take 3 years.

6 0
2 years ago
Find the arc length of a partial circle
marusya05 [52]

Answer:

12.5664 units (rounded off to four decimal values)

Step-by-step explanation:

Arc length = 2 × π × r × \frac{central-angle}{360}

For our partial circle;

The radius (r) = 8 units

The central angle = 90°

Arc length = 2 × π × 8 × \frac{90}{360} = 12.5663706144  units

Or 12.5664 units (rounded off to four decimal values)

5 0
3 years ago
Read 2 more answers
For which values of x is the inequality 5x-11 less than or equal to 3x-11
Darina [25.2K]

Answer:

Step-by-step explanation:

6 0
3 years ago
Will i pass eighth grade with a d in math. give me a genuine answer too. not just to get points.
myrzilka [38]

yes you can

Step-by-step explanation:

D is a passing grade! ;)

3 0
2 years ago
Read 2 more answers
In a sale the original prices are reduced by 20%.
Anettt [7]

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

6 0
3 years ago
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