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MariettaO [177]
2 years ago
12

Which equation can be solved by using this expression?

Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

<u>Answer:</u>

The correct answer option is B. 2 = 3x + 10x^2

<u>Step-by-step explanation:</u>

We are to determine whether which of the given equations in the answer options can be solved using the following expression:

x=\frac{-3 \pm\sqrt{(3)^2+4(10)(2)} }{2(10)}

Here, a = 10, b = 3 and c=-2.

These requirements are fulfilled by the equation 4 which is:

12=3x+10x^2

Rearranging it to get:

10x^2+3x-2=0

Substituting these values of a,b,c in the quadratic formula:

x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}

x= \frac{-3 \pm\sqrt{(3)^2-4(10)(-2)} }{y}

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The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuiti
emmainna [20.7K]

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

4 0
2 years ago
Read 2 more answers
Please help me with the following questions. Thanks in advance!!
Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t)     Divide by 1800

0.32778 = e^(-0.4t)       Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t)   Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1    Divide by 0.32778

e^(0.4t) = 3.0508          Take the natural log of both sides.

0.4t = 1.11542                 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42         Subtract 6 from both sides

3^(3 - 3x) = 36               Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352   Divide by 1.098612

3 - 3x = 3.26186             Subtract 3 from both sides

- 3x = 0.26186                 Divide by - 3

x = - 0.087287    

4 0
3 years ago
What's the recursive formula of the geometric sequence below?
yKpoI14uk [10]

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula for a geometric sequence.

The common ratio is 3, and 2 is the 1st term.

Thus, we have a1=2(3)^(n-1)

Hope this helps :)

5 0
3 years ago
Factorize this expression completely <br>using (a-b)² formula<br>3a²- 36a + 108​
Novosadov [1.4K]

Answer:

3a^2 - 36a + 108  = (\sqrt{3}a - 6\sqrt{3} )^2

Step-by-step explanation:

3a^2 = (\sqrt{3} a)^2\\108 = 9 \times 4 \times 3= 3^2 \times 2^2 \times 3 = (3\times2 \sqrt{3} )^2 = (6\sqrt{3})^2

so, a = \sqrt{3}  a \ , \ b = 6\sqrt{3} \\\\(a - b)^2 = a^2 -2ab + b^2\\\\-36a = -2ab\\\\-36a = -2 \times \sqrt{3} a \times 6\sqrt{3}

Therefore ,

3a^2 - 36a + 108 = (\sqrt{3}a )^2 - 2(\sqrt{3}a \times 6\sqrt{3} ) + (6\sqrt{3} )^2  = (\sqrt{3}a - 6\sqrt{3} )^2

6 0
3 years ago
I really need help on this question
statuscvo [17]

Answer:

its the third one

Step-by-step explanation:

3 0
3 years ago
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