All categories

3 years ago

Factor the binomial: x^2 - 8x

Mathematics

2 answers:

Xelga [282]3 years ago

4 0

Answer:

x(x - 8)

Step-by-step explanation:

First, factor out an x from both terms:

x² - 8x

x(x - 8)

So, the factored form of the binomial is x(x - 8)

svetoff [14.1K]3 years ago

3 0

Answer:

x2+8x+15=(x+5)(x+3)

Step-by-step explanation:

Trinomials have the form: ax2+bx+c. When factoring trinomials where a=1

You might be interested in

If t represents the amount of time Neda has spent typing the second letter, which equation states the rule used to determine the

Gennadij [26K]

Answer:

W = t + 200

Step-by-step explanation:

Number of words typed in the first letter = 200

The relationship between the total words typed, W and the number of seconds, t spent on the second letter :

W = number of words typed in first letter + t

W = 200 + t

Choosing any pair of values from the table :

W = 245 ; t = 45

W = 200 + 45

W = 245

Therefore, the number of words, W typed today can be represented as

W = 200 + t

3 0

3 years ago

Identify all of the following solutions of square root of x minus 8 end root plus 8 equals x.

Anit [1.1K]

$\sqrt{x-8} +8=x \\ \sqrt{x-8} =x-8 \\ {( \sqrt{x-8} )}^{2} = {(x-8)}^{2} \\ x-8= x^{2} -16x+64 \\ x^{2} -16x-x+64+8=0 \\ x^{2} -17x+72=0$

$(x-8)(x-9)=0 \\ x-8=0 \ and \ x-9=0 \\ x=8 \ and \ x=9$

4 0

3 years ago

Read 2 more answers

Hi! Does any one know how to do proportions? If so can you please help me out with these 2 problems? please show work on how you

Nataly [62]

Answers:

1.) 18 lemons
2.) 80 minutes

Explanation:

Porportions are a lot like fractions. For the first question, you can make the fraction 6/8, or 3/4 simplified. This means that for every 8 cups of water, you need 6 lemons.

Then, to find the amount of lemons you need if you have 24 cups of water, you need to think about what×8= 24. If we divide 24 by 8, we get 3, so if we multiply our fraction by 3/3, we should get the answer.

If we do 6/8 × 3/3, we get 18/24. This means that we need 18 lemons if we were to use 24 cups of water.

For the next question, our fraction 15/60, for 15 cakes baked in 60 minutes. Now we need to divide 20 cakes by 15.

This question is a little different from the first one because there will be a decimal involved. If we do 20/15, we get 1⅓. This means that this time, we will multiply 15/60 by (1⅓)/(1⅓).

If we multiply 60 by 1⅓, we get 80, which is the number of minutes needed to bake 20 cakes.

Hope this helps :)

6 0

3 years ago

Jackson estimated 637 ÷ 78 as 640 ÷ 80. He reasoned that 64 tens divided by 8 tens should be 8 tens. Is Jackson’s reasoning corr

Sholpan [36]

Answer:

the correct solution has been explained

Step-by-step explanation:

Jackson,s reasoning is incorrect because it should be 8 ones and not 8 tens that would give 64

$\frac{640}{80} = \frac{64}{8} = 8$

Moreover, $\frac{637}{78} is\ not\ equal\ to \frac{640}{8}$

as $\frac{637}{78}= 8.16$

whereas $\frac{640}{80}$ = 8

clearly, both quantities are different

7 0

4 years ago

A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i

s344n2d4d5 [400]

Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

4 0

4 years ago