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2 years ago

Need help on this almost done

Mathematics

1 answer:

Margarita [4]2 years ago

5 0

Step-by-step explanation:

As shown in the picture, 3(x + 7) = (x + 7) + (2x - 7) + x.

So 3x + 21 = 4x. This means that x = 21.

You might be interested in

If the discriminant is positive how many solutions are there

ddd [48]

Answer:

$b^2-4ac>0$ yields 2 real roots

Step-by-step explanation:

To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

• $b^2-4ac>0$ yields 2 real roots

• $b^2-4ac=0$ yields 1 real root

• [tx]b^2-4ac<0[/tex] yields no real roots

Example:

$4x^2-7x+2=0$ where a=4, b=-7, and c=2

$b^2-4ac=(-7)^2-4(4)(2)=49-32=17$ .

It has 2 real roots

7 0

3 years ago

In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int

muminat

The amount you should deposit is $4709.18

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 in 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 want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ $5000=P(1+\frac{0.03}{12})^{(12)(2)}$

∴ $5000=P(1+0.0025)^{24}$

∴ $5000=P(1.0025)^{24}$

- Divide both sides by $(1.0025)^{24}$

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0

3 years ago

Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.

jeka94

Answer:

$x=4+2\sqrt{3}$

$x=4-2\sqrt{3}$

Step-by-step explanation:

<u>Completing the square</u>

when $ax^2+bx+c=0$

Given equation:

$3x^2-24x+40=28$

Subtract 40 from both sides:

$\implies 3x^2-24x=-12$

Divide both sides by 3:

$\implies x^2-8x=-4$

Add the square of half the coefficient of $x$ to both sides:

$(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

$\implies x^2-8x+16=-4+16$

Factor the left side and simplify the right side:

$\implies (x-4)^2=12$

Square root both sides:

$\implies x-4=\pm\sqrt{12}$

Add 4 to both sides and simplify the radical:

$\implies x=4\pm\sqrt{4 \cdot 3}$

$\implies x=4\pm\sqrt{4}\sqrt{3}$

$\implies x=4\pm2\sqrt{3}$

5 0

1 year ago

Can you say where to put each in different places in your answer? Please and thank you.

maw [93]

Coefficients are y and x
Variables are the number with the letters
The terms are the numbers

8 0

2 years ago

Read 2 more answers

Geometry - The steps to rotating a shape on a graph.

irinina [24]

(x,y)

Quartile 1/original coordinates (x,y)
Quartile 2 (-x,y)
Quartile 3 (-x,-y)
Quartile 4 (x,-y)

use this to move a shape on the graph

the degree of rotation of a shape on a graph depends on where the shape starts and ends

6 0

3 years ago