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kiruha [24]
1 year ago
15

Find the average rate of change, in simplest form, of the function over the interval 3 ≤ x ≤ 5

Mathematics
1 answer:
gavmur [86]1 year ago
3 0
The answer to your question that you’re trying to figure out is [3,5]
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Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot
-BARSIC- [3]

Answer:

  • $1375 at 14%
  • $475 at 6%

Step-by-step explanation:

Let x represent the amount Peter invested at 14%. Then (x-900) is the amount he invested at 6%. His total interest earned is ...

  0.14x + 0.06(x -900) = 221

  0.20x = 275 . . . . . . . . . . . . . . . . add 54, simplify

  x = 1375 . . . . . . . . . . . . . . . . . . . .divide by 0.2; amount invested at 14%

  (x-900) = 475 . . . . . . . . . . . . . . . amount invested at 6%

Peter invested $475 in the 6% account and $1375 in the 14% account.

7 0
3 years ago
4x−3y=18 Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.
Natasha_Volkova [10]

Answer:

13.5

Step-by-step explanation:

The point with the missing coordinate is (?, 12), so the value of  y  is 12.  Plug 12 into the equation in the place of  y.

4x - 3(12) = 18

4x - 36 = 18

4x = 54

x = 54/4 = 13.5

3 0
2 years ago
Which change will quadruple the lateral surface area of a cone?
vlada-n [284]
Don't know try something else it will probably help
6 0
3 years ago
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What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

f^{-1}(x)=\frac{1}{2}x-\frac{1}{2} ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
3 years ago
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In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the di
Dafna1 [17]

its c .i just took it


7 0
3 years ago
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