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Kamila [148]
3 years ago
11

Help with this math question pleaseee!!!

Mathematics
1 answer:
Alina [70]3 years ago
3 0
The asymptote of the parent function 3^{x}, like any other similar exponential function is y = 0.

But in this case the parent function is transformed. It is shifted vertically upward by 4 units. When an exponential function is shifted vertically up or down its asymptote is also shifted by same number of units. 

Hence, the asymptote of f(x)= 3^{x}+4 will be shifted 4 units above as compared to the asymptote of f(x)= 3^{x} .Therefore, the asymptote of f(x)= 3^{x}+4 is y=4
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A rectangular table is 22.5 inches wide and 31 inches long using the Pythagorean theorem what is the length of the diagonal of t
Stolb23 [73]
38
(Rounded it up from 38.305)
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Find the surface area of a sphere with a radius of 8cm
Andreas93 [3]
I believe the proper way to find the surface area of a sphere is 4 times 3.14 (which is Pi) times the radius squared. Or 4(3.14)*r^2.

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3 years ago
Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
soldier1979 [14.2K]

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

3 0
3 years ago
a painter can finish a house in 5 hours. Her assistant takes 7 hours to finish the same job. How long would it take for them to
mars1129 [50]

Answer:

D

Step-by-step explanation:

Call the first person A who can do the job in 5 hours.

Call the second person B who can do the job in 7 hours.

The formula for this problem is

Time = A*B/(A + B)

Time = 5*7 / (5 + 7)

Time = 35 / 12

Time = 2 hours and 11/12 of an hour.

The answer is D.

3 0
3 years ago
There are 180 calories in 3 scoops of vanilla ice cream. How many calories are in 7 scoops.
harkovskaia [24]

Answer:

420 calories

Step-by-step explanation:

180 / 3 = 60 calories

60 x 7 =420 calories

8 0
4 years ago
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