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Kobotan [32]
3 years ago
9

4x2+3x=0 please solve this by using quadratic formula

Mathematics
1 answer:
Sav [38]3 years ago
7 0

Answer:

x= 0 and x=-3/4

Step-by-step explanation:

4x^2 + 3x =0

We need to solve this equation using quadratic formula.

The quadratic formula is:

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

for the type of equation

ax^2 +bx+c=0

So, for our given equation:

a= 4

b= 3

c=0

putting values in the formula

x=\frac{-3\pm\sqrt{9-0}}{8}\\x=\frac{-3\pm3}{8}\\x=\frac{-3+3}{8}\,and\, x=\frac{-3-3}{8}\\x=\frac{0}{8}\,and\, x=\frac{-6}{8}\\x=0\,and\, x=\frac{-3}{4}[/tex]

so, x= 0 and x=-3/4.

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What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
r-ruslan [8.4K]

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

CD=\sqrt{(0-(-5))^2+(3-(-1))^2}

CD=\sqrt{(0+5)^2+(3+1)^2}

CD=\sqrt{(5)^2+(4)^2}

CD=\sqrt{25+16}

On further simplification, we get

CD=\sqrt{41}

CD=6.40312424

CD\approx 6.40

Therefore, the distance between C and D is 6.40 units.

6 0
3 years ago
To pay off an insurance settlement you must make monthly payments of $2500 for 6 years. How much should you invest in an account
ANEK [815]

Answer:

The principal which should be invested in account is $125,698.324

Step-by-step explanation:

Given as :

The monthly payment amount = $2500

The time period = 6 years = 6 × 12 = 72 months

So,  The payment for 72 months =  $2500 × 72  = $180,000

The rate of interest compounded monthly = 6%

The investment amount in account = P

Now,<u> From compounded method </u>

Amount = Principal × (1+\frac{Rate}{12\times 100})^{12\times Time}

$180,000 = P × (1+\frac{6}{12\times 100})^{12\times 6}

Or,  $180,000 = P × (1.005)^{72}

Or, $180,000 = P × 1.432

∴ P = \frac{180,000}{1.432} = $125,698.324

Hence The principal which should be invested in account is $125,698.324 . Answer

3 0
3 years ago
If the perimeter of a regular pentagon can be expressed as 10s - 20, determine the length of each side.
MariettaO [177]
A regular pentagon has five equal sides, and the perimeter is all of the sides of one figure added together. So, to find what each individual side equals we have to divide the perimeter by five. 10s-20/5=2s-4.
Each side is 2s-4

3 0
3 years ago
Write an expression show 10 less than a number n?
Alona [7]
Probably n-10 because it wants 10 less than n is n-10. You don’t need to know n in this question I believe
6 0
3 years ago
Read 2 more answers
How to spell 6007200 in word form
alexandr402 [8]

Answer:

six million seven thousand two hundred

7 0
3 years ago
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