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Anuta_ua [19.1K]
3 years ago
5

How do you solve this?

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0
The method to solve this answer is fairly simple.
First, write out your brackets like so: (x )(x ), leaving a space for the number that you will use in this factorisation
Next, find two numbers that multiply to give you +20 (the integer), but also add to give you -9 (the coefficient of x). The two numbers are -4 and -5
Now, you can place the two numbers into the brackets to give you the factored form:
(x-4)(x-5)
We know this is correct because if you expand these brackets, you get your original expression (shown in the attached image)

maks197457 [2]3 years ago
5 0
The answer is  (x-5)(x-4)
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Solve this equation, 2x^2-10=0
lianna [129]
X = +- sqrt 5 or 2.2361. no problem 
3 0
4 years ago
Read 2 more answers
Tanisha and Rebecca are signing up for a new cell phone plan to only charge for the number of minutes and everything else includ
xeze [42]

Answer:

see the explanation in the procedure

Step-by-step explanation:

<u><em>The complete question is</em></u>

Tanisha and Rebecca are signing up for the new cellphone plans that only charge for the number of minutes and everything else is included in a monthly fee. Their plans are as follows:

Tanisha s Plan: $0.15 per minute used talking and a $25 monthly fee

Rebecca s Plan: $0.10 per minute used talking and a $18.50 monthly fee

After how many minutes will the two plans charge the same amount?

Let

x ----> the number of minutes

y ---> the total charge in dollars

we know that

<em>Tanisha s Plan</em>

y=0.15x+25 -----> equation A

<em> Rebecca s Plan</em>

y=0.10x+18.50 -----> equation B

To find out after how many minutes will the two plans charge the same amount, equate equation A and equation B

0.15x+25=0.10x+18.50

solve for x

0.15x-0.10x=18.50-25

0.05x=-6.5

x=-130\ min

therefore

They will never pay the same amount , because the time cannot be a negative number.

Rebecca s Plan is better than Tanisha s Plan because it has smaller fee and less cost per minute

4 0
3 years ago
What is the fully simplified answer to sqrt(7/18) + sqrt(5/8) - sqrt(7/2)
NeX [460]

Answer:

=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}

Step-by-step explanation:

Given expression as:

=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }

We need to simplify the given expression.

Solution:

We have:

=\sqrt{\frac{7}{18}}+\sqrt{\frac{5}{8}}-\sqrt{\frac{7}{2} }

Rewrite the expression as:

=\frac{\sqrt{7}}{3\sqrt{2}} - \frac{\sqrt{7}}{\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}

\frac{\sqrt{7}}{\sqrt{2} } is a common factor to the first two terms.

Using distributive property we can factor out \frac{\sqrt{7}}{\sqrt{2} } from the first two terms.

=\frac{\sqrt{7}}{\sqrt{2}}(\frac{1}{3} -1)  +\frac{\sqrt{5}}{2\sqrt{2}}

=\frac{\sqrt{7}}{\sqrt{2}}(\frac{1-3}{3})  +\frac{\sqrt{5}}{2\sqrt{2}}

=\frac{\sqrt{7}}{\sqrt{2}}(\frac{-2}{3})  +\frac{\sqrt{5}}{2\sqrt{2}}

=-\frac{2\sqrt{7}}{3\sqrt{2}} +\frac{\sqrt{5}}{2\sqrt{2}}

\sqrt{2} is common factor, so we can factor \sqrt{2} from the above expression.

=\frac{1}{\sqrt{2} }( -\frac{2\sqrt{7}}{3} +\frac{\sqrt{5}}{2})

=\frac{1}{\sqrt{2} }( \frac{-2\times 2\sqrt{7}+3\times \sqrt{5}}{6})

=\frac{1}{\sqrt{2} }( \frac{-4\sqrt{7}+3\sqrt{5}}{6})

=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}

Therefore, we get simplified answer as.

=\frac{-4\sqrt{7}+3\sqrt{5}}{6\sqrt{2}}

6 0
4 years ago
Divide. State any restrictions on the variables.<br> 35y/18z÷7y/36x
cricket20 [7]

Answer:

5/648 xy2z

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Sqr root 8+3 Sqr root 2+ Sqr root 32 simplest form
Kisachek [45]

Answer:

<u>9\sqrt{2} </u>

Step-by-step explanation:

The given question is :

\sqrt{8} +3\sqrt{2} +\sqrt{32}

8 = 4 * 2

32 = 16 * 2

\sqrt{8} =\sqrt{4*2} = 2\sqrt{2} \\\sqrt{32} =\sqrt{16*2} =4\sqrt{2}

∴ \sqrt{8} +3\sqrt{2} +\sqrt{32}

= 2\sqrt{2} +3\sqrt{2} +4\sqrt{2}

= 9\sqrt{2}

6 0
4 years ago
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