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german
3 years ago
14

Simplify. 8√-76 Enter your answer, in simplest radical form, in the box.

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0
I hope this makes sense.

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Y=x+2 x input -2 -1 0 1 2​
Alex_Xolod [135]
As you plug in those numbers for x (from left to right) y=
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3
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8 0
3 years ago
Find the equation of the exponential function represented by the table below
Gennadij [26K]

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

4 0
3 years ago
A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
earnstyle [38]

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

7 0
3 years ago
The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a ye
zloy xaker [14]

Answer:

Number of​ restaurant-purchased meals eaten in a​ restaurant = 70

Number of​ restaurant-purchased meals eaten in a​ car = 22

Number of​ restaurant-purchased meals eaten in a​ home = 60

Step-by-step explanation:

Let the number of people that will eat in a restaurant be R.

Let the number of people that will eat in a car be C.

Let the number of people that will eat in a home be H.

From the information given in the problem we have,

R+C+H = 152 ____equation (1)

C+H-R = 12 ____equation (2)

R = H+10 ____equation (3)

1) Plugging in R=H+10 from equation 3 into the equation 2, we get

C+H-R=12

=> C+H-(H+10)=12

=> C+H-H-10=12

2) Cancelling out +H and -H, we get

C-10=12

3) Add 10 to both sides

C-10+10=12+10

4) Cancelling out -10 and +10, we get

C=22

5) Plugin C=22 in equation 1, we have

R+C+H = 152

=> R+22+H=152

Subtract 22 from both sides,

R+22+H-22=152-22

Cancelling out +22 and -22 from the left side, we get

R+H=130 ____let it be equation (4)

6) Plugin C=22 in equation 2, we have

C+H-R = 12

22+H-R = 12

Subtracting 22 from both the sides, we get

22+H-R-22 = 12-22

Cancelling out +22 and -22 from the left side,

H-R = -10 ____let it be equation (5)

7) Adding equation 4 and equation 5, we get

(R+H)+(H-R) = 130 + (-10)

=> R+H+H-R = 130-10

8) Cancelling out R and -R from the left side, we get

2H = 120

9) Dividing both sides by 2, we get

\frac{2H}{2} = \frac{120}{2}

10) Cancelling out the 2's from the left side, we have

H=60

11) Plugging in C=22 and H=60 in the equation 1, we have

R+C+H = 152

=> R+22+60=152

=> R + 82 = 152

12) Subtracting 82 from both the sides, we get

R + 82 -82 = 152 -82

13) Cancelling out +82 and -82 from the left side, we get

R = 70

<em>So, C=22, H=60, R=70</em>

8 0
3 years ago
Yesterday the Bandits scored 56 points in their basketball game. Today they scored 42 points. What is the percent decrease of Th
FromTheMoon [43]

Answer:

x = 25% percent decrease

Step-by-step explanation:

For this problem we will use percentage calculation and make proportion:

Initial value 56 points is worth 100%

Second value 56 - 42 = 14 points of decrease is worth x%

56 : 14 = 100 : x

When we multiply external and internal members we get:

56 · x = 14 · 100 => x = 1400/56 = 25%

x = 25% percent decrease

God with you!!!


5 0
3 years ago
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