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jarptica [38.1K]
3 years ago
5

-x^2+5x-6 Please help me understand how to factor this. Thank you. :)

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

Answer:

-(x-3)(x-2)

Step-by-step explanation:

-(x²-5x+6)

-(x²-3x-2x+6)

-{x(x-3)-2(x-3)}

-(x-3)(x-2)

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11. Macy has a circular pool with a diameter of 18 feet. If she swims around the pool 4 times, find the distance she will travel
Paul [167]

Answer:

226.08 feet

Step-by-step explanation:

To solve this, first find the circumference of the pool: \pi * diameter or in this case 56.52. Now mutiply by 4 to get the answer of 226.08.

Hope it helps!

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3 years ago
Which statement BEST models the equation
Alex777 [14]

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b A train backed up 7 feet and then moved

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3 years ago
Mike and Ken shared some stamps. \frac{1}{5} 5 1 ​ of Ken's stamps were \frac{1}{3} 3 1 ​ of Mike's stamps. If Mike gave Ken 24
Zielflug [23.3K]

Answer:

Mike had 72 stamps

Ken had 120 stamps

Step-by-step explanation:

Given

M \to Mike

K \to Ken

\frac{1}{5} * K = \frac{1}{3} * M

K + 24 = 3 * ( M - 24)

Required

Find K and M

Make K the subject in: K + 24 = 3 * ( M - 24)

K = 3 * ( M - 24) - 24

Substitute K = 3 * ( M - 24) - 24 in \frac{1}{5} * K = \frac{1}{3} * M

\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M

Open brackets

\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M

\frac{1}{5} * [3M -96] = \frac{1}{3} * M

Multiply both sides by 15

3* [3M -96] = 5 * M

9M -288 = 5M

Collect like terms

9M -5M= 288

4M= 288

Divide both sides by 4

M= 72

Substitute M= 72 in K = 3 * ( M - 24) - 24

K = 3 * (72 - 24) - 24

K = 3 * 48 - 24

K = 120

3 0
3 years ago
Anyone know how to do this one??
sweet-ann [11.9K]
It’s the last one! Hope this helps
4 0
3 years ago
Read 2 more answers
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
olga nikolaevna [1]

Answer:

I hope that you are doing well, during this weird time; and that this message finds you in a good place.

To get you started on this problem, you will want to think about how to go about graphing this linear function. You want to keep in mind that you want to plot your dependent variable on the y-axis, as it changes with respect to your independent variable (plotted on the x-axis). In this problem, the cost of the water bill depends on the amount of water used, in HCF. So the graph should be plotted with cost on the y-axis, and HCF on the x-axis.

It follows that you are given the coordinates of (16, $48.37) and (22, y2); where y2 represents the cost when using 22 HCF. You are also given the slope of your line (m, in y = mx + b format). You may recall that you can set-up a slope as the change in y over the change in x, or the "rise over the run" [m = (y2-y1) / (x2-x1)]. We can set this problem up, using this equation to solve for y2 (the cost at 22 HCF) algebraically.

So we would set up the problem as 1.65 = (y2-48.37)/(22-16). We then solve by combining like-terms and using inverse operations as follows:  

  1.65 = (y2 - 48.37) / 6

  1.65(6) = y2 - 48.37

  9.9 = y2 - 48.37

  y2 = $58.27

Step-by-step explanation:

3 0
2 years ago
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