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jenyasd209 [6]
3 years ago
15

Is 5 a solution to the equation 2x2 + 10 = 60?

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

<u>Solution:</u>

As per the problem given equation is,

(\396.32 - \250) = \146.32

\Rightarrow 2 \times x^{2}-60+10=0 (//substituting all at left)

\Rightarrow 2 \times x^{2}-50=0

\Rightarrow 2 \times x^{2}=50

\Rightarrow x^{2}=\left(\frac{50}{2}\right)

\Rightarrow x^{2}=25

So the value of x can be 5 and -5.

Hence one value of x can be 5 (proved).

pashok25 [27]3 years ago
6 0

Answer:

Yes.

Step-by-step explanation:

2(5)^2+10=2(25)+10=50+10=60

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Beth is taking out a loan to purchase a new home. She is financing $50,000 for 25 years at an interest rate of 14.25%. What is h
kozerog [31]
The present value (PV) of a loan for n years at r% compounded t times a year where there is equal P periodic payments is given by:

PV=P\left( \frac{1-\left(1+ \frac{r}{t} \left)^{-nt}}{ \frac{r}{t} } \right)

Given that <span>Beth is taking out a loan of PV = $50,000 to purchase a new home for n = 25 years at an interest rate of r = 14.25%. Since she is making the payment monthly, t = 12.

Her monthly payment is given by:

50,000=P\left( \frac{1-\left(1+ \frac{0.1425}{12} \right)^{-25\times12}}{ \frac{0.1425}{12} } \right) \\  \\ =P\left( \frac{1-(1+0.011875)^{-300}}{ 0.011875 } \right)=P\left( \frac{1-(1.011875)^{-300}}{ 0.011875 } \right) \\  \\ =P\left( \frac{1-0.028969}{ 0.011875 } \right)=P\left( \frac{0.971031}{ 0.011875 } \right)=81.770994P \\  \\  \therefore P= \frac{50,000}{81.770994} =\$611.46

Therefore, her monthly payment is about $611.50
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3 0
4 years ago
Find the product and sum of the roots of the equation:<br> 2x^2-9x-10=0
BabaBlast [244]

Answer:

<h3>           sum of the roots:    x_1+x_2=4\frac12</h3><h3>           product of the roots:     x_1x_2=-5             </h3><h3> Step-by-step explanation:</h3>

2x^2-9x-10=0\quad\implies\quad a=2\,,\ b=-9\,,\ c=-10

b^2-4ac=(-9)^2-4(2)(-10)=81+80=161>0

From Vieta's formulas applied to quadratic polynomial we have:

if    b^2-4ac\geqslant0   then

sum of roots:    x_1+x_2=-\dfrac ba=-\dfrac{-9}2=4\frac12

product of the roots:     x_1x_2=\dfrac ca=\dfrac{-10}2=-5

3 0
3 years ago
Determine the volume of the rectangular prism.<br>​
Flauer [41]

Answer:

<h2><u>50 ft³</u></h2>

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2\frac{1}{2} and the height is 2\frac{1}{2}

8 × 2\frac{1}{2} × 2\frac{1}{2}

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2\frac{1}{2} = 20

20 × 2\frac{1}{2} = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

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7 0
3 years ago
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Hunter-Best [27]

Answer:

4!

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In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).  

For odd positions we can put 3-M's & a X. Total ways is 4!/3!   (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.  

24=4!.

5 0
3 years ago
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