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3 years ago

Can someone help me with Question 2? 4a 3(a 2) = 2(3a 2)

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

6a + 2

Step-by-step explanation:

2 ×3a = 6a 2×2 = 4

it gives 6a + 4

(If this is wrong, it would be better to attach an image)

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Roots of Quadratics 50 PTS!!!

noname [10]

The values of k for the different quadratic equation solutions are as follows

a the equation 2x² - x + 3k = 0 has two distinct real roots

k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

$-b+\frac{\sqrt{b^{2}-4ac } }{2a}$ OR $-b-\frac{\sqrt{b^{2}-4ac } }{2a}$

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots -x² + 3x + (k + 1) = 0

b² - 4ac > 0

substituting the values gives

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get no real solutions 3kx² - 3x + 2 = 0

b² - 4ac < 0

substituting the values gives

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0

1 year ago

Read 2 more answers

You decide to put $2,000 in a savings account to save for a $3,000 downpayment on a new car. If the account has an interest rate

DanielleElmas [232]

It takes 10.155 years until you have $3,000 ⇒ 3rd

Step-by-step explanation:

The formula for compound interest, including principal sum is:

$A=P(1+\frac{r}{n})^{nt}$ , where

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You decide to put $2,000 in a savings account

∴ P = 2000

∵ You want to save for $3,000

∴ A = 3000

∵ The account has an interest rate of 4% per year and is

compounded monthly

∴ r = 4% = 4 ÷ 100 = 0.04

∴ n = 12 ⇒ compounded monthly

- Substitute all of these values in the formula above to find t

∵ $3000=2000(1+\frac{0.04}{12})^{12t}$

- Divide both sides by 2000

∴ $1.5=(1+\frac{1}{300})^{12t}$

∴ $1.5=(1\frac{1}{300})^{12t}$

- Change the mixed number to an improper fraction

∴ $(1.5)=(\frac{301}{300})^{12t}$

- Insert ㏒ for both sides

∴ $log(1.5)=log(\frac{301}{300})^{12t}$

- Remember $log(a)^{n}=nlog(a)$

∴ $log(1.5)=(12t)log(\frac{301}{300})$

- Divide both sides by $log(\frac{301}{300})$

∴ 121.84 = 12 t

- Divide both sides by 12

∴ 10.155 = t

It takes 10.155 years until you have $3,000

Learn more:

You can learn more about the compound interest in brainly.com/question/4361464

#LearnwithBrainly

5 0

3 years ago

What is the answer of this equation ? 10x-6(2x+5)=20

Rudiy27

Answer:

Simplifying

x = -25

Step-by-step explanation:

Reorder the terms:

10x + -6(5 + 2x) = 20

10x + (5 * -6 + 2x * -6) = 20

10x + (-30 + -12x) = 20

Reorder the terms:

-30 + 10x + -12x = 20

Combine like terms: 10x + -12x = -2x

-30 + -2x = 20

Solving

-30 + -2x = 20

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '30' to each side of the equation.

-30 + 30 + -2x = 20 + 30

Combine like terms: -30 + 30 = 0

0 + -2x = 20 + 30

-2x = 20 + 30

Combine like terms: 20 + 30 = 50

-2x = 50

Divide each side by '-2'.

x = -25

6 0

3 years ago

Help what’s the rule

solong [7]

Doubling or quadruple

5 0

3 years ago

Describe rotation in another way 83 degrees counter-clockwise

siniylev [52]

Answer:

<h2>277 degrees clockwise.</h2>

Step-by-step explanation:

This rotation could be express with its opposite. Just remember that a complete rotation is 360 degrees, so, if it's rotating 83° counter-clockwise, it'll be the same rotation if we say 277° clockwise, because that's the difference from the total 360°.

4 0

3 years ago