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Illusion [34]
3 years ago
8

What is the factored form of x2 - 10x + 24

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

(x-6) (x-4)

Step-by-step explanation:

x^2 - 10x + 24

What 2 numbers multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

(x-6) (x-4)

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What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.​
tresset_1 [31]

Y = mx+c

m is the gradient and c is the y-intercept so

4 = m(4) + (-4)

4 = 4m - 4

4m = 8

m = 2

Ans: Y = 2x - 4

3 0
3 years ago
Read 2 more answers
Find the distance between the points given. (-10,3) and (-10,12)
aksik [14]

Answer:

The distance is 9.

Step-by-step explanation:

Just look, that  these points have got the same x-coordinate, 

so they lie  on the same line, which is parallel to the OY axis, 

So  your taks is only  find different  in y-coordinate. That is

12-3 = 9 

5 0
3 years ago
Marla sawed a 12-meter wood plank into 8 equal pieces. Which statement best explains how Marla cut the wood plank?
Lesechka [4]

Complete Question

Marla sawed a 12-meter wood plank into 8 equal pieces. Which statement best explains how Marla cut the wood plank?

a) She cut the wood into pieces that are each 1/3 meter long.

b) She cut the wood into pieces that are each 1/2 meter long.

c) She cut the wood into pieces that are each 1 meter long.

d) She cut the wood into pieces that are each 1 1/2 meter long.

Answer:

d) She cut the wood into pieces that are each 1 1/2 meter long.

Step-by-step explanation:

Marla sawed a 12-meter wood plank into 8 equal pieces.

Hence,

8 equal pieces = 12 meter

1 equal pieces = x meter

Cross Multiply

8 × x = 1 × 12

x = 12/8 meters

x = 3/2 meters long

x = 1 1/2 meters long.

Therefore, Option d is the correct Option

3 0
3 years ago
Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, T
timurjin [86]

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

  • In the first week, Terrance sold 30% more than Lee
  • In the second week, Terrance sold 12 magazines, but Lee did not sell any
  • Terrance sold 50% more than Lee by the end of the second week

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

  Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = \frac{30}{100} × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

  sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = \frac{50}{100} × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

Learn more:

You can learn more about the percentage in brainly.com/question/12284722

#LearnwithBrainly

5 0
3 years ago
Solve the following 3 × 3 system. Enter the coordinates of the solution below.
ICE Princess25 [194]

Step-by-step explanation:

2x - 3y - 2z = 4

[2] x + 3y + 2z = -7

[3] -4x - 4y - 2z = 10

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -3y - 2z - 7

// Plug this in for variable x in equation [1]

[1] 2•(-3y-2z-7) - 3y - 2z = 4

[1] - 9y - 6z = 18

// Plug this in for variable x in equation [3]

[3] -4•(-3y-2z-7) - 4y - 2z = 10

[3] 8y + 6z = -18

// Solve equation [3] for the variable z

[3] 6z = -8y - 18

[3] z = -4y/3 - 3

// Plug this in for variable z in equation [1]

[1] - 9y - 6•(-4y/3-3) = 18

[1] - y = 0

// Solve equation [1] for the variable y

[1] y = 0

// By now we know this much :

x = -3y-2z-7

y = 0

z = -4y/3-3

// Use the y value to solve for z

z = -(4/3)(0)-3 = -3

// Use the y and z values to solve for x

x = -3(0)-2(-3)-7 = -1

Solution :

{x,y,z} = {-1,0,-3}

6 0
3 years ago
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