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r-ruslan [8.4K]
3 years ago
6

Four people are carpeting a house. Heidi carpets 1/6 of the house, Lisa carpets 16% of the house, Martina carpets 0.2 of the hou

se, and Jaydie carpets 0.18 of the house.
Which choice lists the people in order from least to greatest by the amount they carpet the house?
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0
Heidi : 1/6 = 0.166
Lisa : 16% = 0.160
Martina : 0.200
Jaydie : 0.180

least to greatest : Lisa, Heidi, Jaydie, Martina
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What is the area of the triangle?<br> Is this correct?
kobusy [5.1K]

Answer:

6.36

Step-by-step explanation:

3 0
2 years ago
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The graphs of g(x) = x³- ax² + 6 and h(x) = 2x² + bx + 3 touch when x = 1. Therefore, the tangent to
Olegator [25]

Answer:

(1,\, 10).

Step-by-step explanation:

Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to x. Make use of the power rule to find the following:

g^\prime(x) = 3\, x^2 - 2\, a\, x.

h^\prime(x) = 2\, (2\, x) + b = 4\, x  + b.

The question states that the graphs of g(x) and h(x) touch at x = 1, such that g^\prime(1) = h^\prime(1). Therefore:

3 - 2\, a = 4 + b.

On the other hand, since the graph of g(x) and h(x) coincide at x = 1, g(1) = h(1) (otherwise, the two graphs would not even touch at that point.) Therefore:

1 - a + 6 = 2 + b + 3.

Solve this system of two equations for a and b:

\begin{aligned}& a + b = 2 \\ & 2\, a + b = -1\end{aligned}.

Therefore, a = -3 whereas b = 5.

Substitute these two values back into the expression for g(x) and h(x):

g(x) = x^3 + 3\, x^2 + 6.

h(x) = 2\, x^2 + 5\, x + 3.

Evaluate either expression at x = 1 to find the y-coordinate of the intersection. For example, g(1) = 1 + 3 + 6 = 10. Similarly, h(1) = 2 + 5 + 3 = 10.

Therefore, the intersection of these two graphs would be at (1,\, 10).

6 0
2 years ago
What is the factored form of 30x2 - 25x -30?
Setler79 [48]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

30x2 - 25x -30  Factoring

Step 2

30x2 - 25x -30  factor out the equation

5(3x+2)(2x-3)

Step 3

5(3x+2)(2x-3)  Check by simplifying

When you check, you will get the question back

Answer

5(3x+2)(2x-3)

Hope this helps

6 0
3 years ago
Unit rate of 1/2 hour:$1.25
GREYUIT [131]
What I would do with is just multiply the 125 by half an hour yeah or just multiply the ones we five by in half an hour and get your final answer I multiply the 1.25 by 1.2 and I got 1.5 + If I multiply the 1.25 + 2i would get 2.5
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3 years ago
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in t
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Answer:

There was a %5 increase

Step-by-step explanation:

You just have to substract 65-60 and you get 5

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