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3 years ago

Which models best illustrates the inequality and its graph? t ≥ 60

Mathematics

1 answer:

Dmitry [639]3 years ago

7 0

It will be the model that has the arrow going to the right with the starting point at 60 having a solid circle.

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Brainliest for whoever gets this right!

My name is Ann [436]

Answer:

$x=\frac{(a^2+ab)}{a-b}$

Step-by-step explanation:

So we want to make x the subject of the formula:

$a(x-b)=a^2+bx$

First, distribute the left side:

$a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx$

Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:

$(ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2$

Remove the -ab from the left. Add ab to both sides. The left side cancels:

$(ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab$

Now, distribute out the x from the left side:

$ax-bx=a^2+ab\\x(a-b)=a^2+ab$

Divide both sides by (a-b). The left side cancels:

$\frac{(x(a-b))}{a-b}=\frac{(a^2+ab)}{a-b} \\x=\frac{(a^2+ab)}{a-b}$

Therefore:

$x=\frac{(a^2+ab)}{a-b}$

5 0

3 years ago

Read 2 more answers

Suppose that $3000 is placed in an account that pays 16% interest compounded each year. Assume that no withdrawals are made from

Papessa [141]

Answer:

a) $3480

b) $4036.8

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Suppose that $3000 is placed in an account that pays 16% interest compounded each year.

This means, respectively, that $P = 3000, r = 0.16, n = 1$

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

$A(t) = 3000(1 + \frac{0.16}{1})^{t}$

$A(t) = 3000(1.16)^{t}$

(a) Find the amount in the account at the end of 1 year.

This is A(1).

$A(t) = 3000(1.16)^{t}$

$A(1) = 3000(1.16)^{1} = 3480$

(b) Find the amount in the account at the end of 2 years.

This is A(2).

$A(2) = 3000(1.16)^{2} = 4036.8$

4 0

3 years ago

Which table has a constant of proportionality between y and x of 10?

Ivanshal [37]

Answer:

table C

Step-by-step explanation:

The constant of proportionality k= y/x

table C shows constant proportionality :

90/9=140/14=240/24=10

5 0

3 years ago

Read 2 more answers

∠LMN and ∠NMO are a linear pair of angles. If ∠LMN = 4x + 3 and ∠NMO = 10x – 5, then find the value of x. (1 point)

andriy [413]

Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180. If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13

8 0

3 years ago

Read 2 more answers

Alright I need The answers for number 27 please reply To This question I posted

lys-0071 [83]

Answer:

C. Sqrt(12^2+9^2)

Step-by-step explanation:

Pythagorean theorem is

x^2+y^2=z^2

So solving for z

z=sqrt(x^2+y^2)

z=sqrt(9^2+12^2)

6 0

4 years ago