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Citrus2011 [14]
3 years ago
12

Need help to write equations for 5, 6 & 7

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.

y = a(b)^x

We need to find a and b.
Look at x = 0.
For x = 0, y = 4.

y = a(b)^x

4 = a(b)^0

Since b^0 = 1, this simplifies to

4 = a

Now we know a = 4. We have

y = 4(b)^x

Look at x = 1. For x = 1, y = 12.

12 = 4(b)^1

12 = 4b

b = 3

Now that we know a and b, we can write the function.

y = 4(3)^x

Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
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Evgesh-ka [11]
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4 0
3 years ago
Bobby makes trail mix for his hiking group. He mixes 1 and one eighth pounds of​ peanuts, 12 ounces of​ raisins, 11 ounces of​ w
KiRa [710]

Answer:

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

Step-by-step explanation:

He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.

1 pound  = 16 ounces

1 1/8 pounds = ? ounces

cross multiply

1 1/8 × 16

9/8 × 16 = 18 ounces

Therefore,

His trail mix are

18 ounces of peanuts

12 ounces of raisins

11 ounces of walnuts

7 ounces of pretzels

The total weight = 18 + 12 + 11 + 7 = 48 ounces

Weight of the trail mix = 48 ounces

If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.

4 0
2 years ago
Yoko pumped
Semmy [17]

Answer: 7 gallons decrease per minute

Step-by-step explanation:

56 gallons / 8 minutes = 7 gallons per minute

to make sure do it backwards: 7 gallons x 8 minutes = 56 gallons :)

4 0
3 years ago
Multiply. (3.5x10^-5) (3x10^-10) express your answer in scientific notation.​
Len [333]

Answer:

5.69034 × 1011

Step-by-step explanation:

Decimal  

1234000000

Scientific Notation  

1.234 x 10^9

×10^  

9

1st Number  

1.234

×10^  

9

Operation  

2nd Number  

5.678

×10^  

11

3 0
3 years ago
Jerod delivers pizzas part-time. Last year he drove 4071 miles. This year he drove 5103 miles. How many more miles did he drive
poizon [28]

Answer:

1032 miles

Step-by-step explanation:

We have : 5103 - 4071 = 1032(miles)

So he drove more 1032 miles this year than last year

6 0
2 years ago
Read 2 more answers
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