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3 years ago

Factor. x^2– 14x + 24

Mathematics

2 answers:

SpyIntel [72]3 years ago

8 0

Answer:

(x - 2) (x - 12)

Step-by-step explanation:

Factor the following:

x^2 - 14 x + 24

The factors of 24 that sum to -14 are -2 and -12. So, x^2 - 14 x + 24 = (x - 2) (x - 12):

Answer: (x - 2) (x - 12)

nikitadnepr [17]3 years ago

7 0

Answer:

(x - 2) (x - 12)

Step-by-step explanation:

Factor x^2 - 14x + 24 using the AC method.

(x - 12) (x - 2)

The middle number is - 14 nd the last number is 24

Factoring means filling in the blanks to an equation like this:

(x + _) (x + _)

You must find out which number goes in the blank(s).

To find the two number that...

1. Add together to get - 14

2. Multiply together to get 24.

Try - 2 and - 12:

1. - 2 + - 12 = - 14

2. - 2 * - 12 = 24

Those two numbers seem good!

Next, fill in the blanks of...

(x + _) (x + _)

with - 2 and - 12 to get (x - 2) (x - 12).

Hope this helps!

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NEED HELP ASAP FIND the missing side of the triangle

Marina86 [1]

Answer:

Step-by-step explanation:

using Pythagoras theorem:

29²-21²= 400

√400 = 20

6 0

3 years ago

For #36, why is the answer 4? Plz explain.

luda_lava [24]

I am getting 7 as the value of b. I do not believe 4 is a correct answer!

Here's why:

General equation of a circle in the xy plane

$(x-c_x)^2+(y-x_y)^2=r^2$

with $c_x\,\,\mbox{and}\,\,c_y$ being the x,y coordinates of the center.

The center point can be determined from the two endpoints of the diameter because the line segment is horizontal, so we just find the center of the x coordinates of the two points:

$c_x = -2+\frac{|8-(-2)|}{2}=3\\c_y = 3$

and the radius r = diameter/2 = 8-(-2)/2 = 5

so we have

$(x-3)^2+(y-3)^2=5^2$

Given a point on the circle (0,b) with b>0:

$(0-3)^2+(b-3)^2=5^2\\9+(b-3)^2 = 25\\(b-3)^2 = 16\\b=7$

6 0

3 years ago

Calculate the total surface area of the give cuboid

notsponge [240]

320 centimeters squared

3 0

3 years ago

Read 2 more answers

The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20

Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

$0.40x+20$

To solve for x, subtract 20 on both sides, we get

$0.40x$

Divide 0.40 on both sides, we get

$x$ ......... → the number of bars that could be ordered, with the shipping costs and their spending requirements must less than 450.

Thus, they can order from 0 to 449 bars, but no more.

4 0

4 years ago

Read 2 more answers

2. The student council at Camp Creek Middle School determines that 3 out of 4

Gemiola [76]

Answer:

Hi there!

Your answer is:

996 students were apart of this survey!

Step-by-step explanation:

3 out of 4 students means that 75% of students prefer the assemblies be held on Friday.

If 75% = 747 students then:

/75

1% = 9.96 students

×100

100% = 996 students

I hope this makes sense!

8 0

3 years ago