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3 years ago

Solve this quadratic equation using the quadratic formula. 3x2 + 4x = 6

Mathematics

2 answers:

netineya [11]3 years ago

6 0

Heres what I got :)

marusya05 [52]3 years ago

6 0

Answer: $\bold{\dfrac{-2\pm \sqrt{22}}{3}}$

Step-by-step explanation:

$3x^2+4x-6=0\quad \rightarrow \quad a=3,\ b=4,\ c=-6\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(4)\pm \sqrt{(4)^2-4(3)(-6)}}{2(3)}\\\\\\.\ =\dfrac{-4\pm \sqrt{16+72}}{2(3)}\\\\\\\\.\ =\dfrac{-4\pm \sqrt{88}}{2(3)}\\\\\\\\.\ =\dfrac{-4\pm 2\sqrt{22}}{2(3)}\\\\\\\\.\ =\dfrac{-2\pm \sqrt{22}}{3}$

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Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?

nataly862011 [7]

Answer:

Please check the explanation.

Step-by-step explanation:

To find the amount we use the formula:

$A=P\cdot \left(1+\frac{r}{n}\right)^{nt}$

Here:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Given

P=$2000

r=4.5%

n=4

t = 5 years

Calculating compounded quarterly 

After plugging in the values

$A=2000\left(1+\frac{4.5\%\:}{4}\right)^{4\cdot \:5}$

$A=2000\left(1+\frac{0.045}{4}\right)^{4\cdot \:5}$

$A=2000\cdot \frac{4.045^{20}}{4^{20}}$

$A=\frac{125\cdot \:4.045^{20}}{2^{36}}$

$A = 2,501.50$

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded quarterly, you will have $2501.50 after five years.

Calculating compounded semi-annually

n = 2

$A=2000\left(1+\frac{4.5\%\:}{2}\right)^{2\cdot \:5}$

$A=2000\left(1+\frac{0.045}{2}\right)^{2\cdot \:5}$

$A=2000\cdot \frac{2.045^{10}}{2^{10}}$

$A = 2,498.41$

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded semi-annually, you will have $2,498.41 after five years.

5 0

3 years ago

PLEASE HURRY WILL MARK BRAINLIEST!!!

LekaFEV [45]

Answer:

-7y+8x

Step-by-step explanation:

-2y-x-5y+9x

3 0

3 years ago

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What is 9=4t+(-7t) how would I find the value of t

posledela

4t+(-7t) is the same as you saying 4t-7t, so 4t-7t= -3t. 9=-3t, divide each side by -3 and t is equal to -3

6 0

4 years ago

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Drag the tiles to the correct boxes to complete the pair.

seraphim [82]

Answer:

1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1

2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3

3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4

4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3

Step-by-step explanation:

A) f(x) = x² - 9, and g(x) = x - 3

We are told that; h(x) = f(x)/g(x)

f(x) = x² - 9 can be factorized to;

f(x) = (x + 3)(x - 3)

Thus; h(x) = (x + 3)(x - 3)/(x - 3)

(x - 3) will cancel out to give;

h(x) = x + 3

B) f(x) = x² - 4x + 3, and g(x)= x - 3

x² - 4x + 3 can be factorized as;

(x - 1)(x - 3)

Thus; f(x) = (x - 1)(x - 3)

h(x) = (x - 1)(x - 3)/(x - 3)

h(x) = x - 1

C) f(x) = x² + 4x - 5, and g(x) = x - 1

x² + 4x - 5 can be factorized as;

(x - 1)(x + 5)

Thus; f(x) = (x - 1)(x + 5)

h(x) = (x - 1)(x + 5)/(x - 1)

h(x) = x + 5

D) f(x) = x² - 16, and g(x) = x - 4

x² - 16 can be expressed as;

(x + 4)(x - 4)

Thus; f(x) = (x + 4)(x - 4)

h(x) = (x + 4)(x - 4)/(x - 4)

h(x) = x + 4

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3 years ago

Find the common denominator 5/10 and 2/5

grigory [225]

Rewrite input as fractions:
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The least common denominator least common multiple is 10.

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Your answer for your question is 10.

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3 years ago

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