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3 years ago

Rewrite in simplest terms: (3x + 2) + (-10x – 3)

Mathematics

1 answer:

Andre45 [30]3 years ago

8 0

Answer:

$\boxed {\tt -7x-1}$

Step-by-step explanation:

We are given the expression:

$(3x+2)+(-10x-3)$

Combine like terms.

The terms with variables can be combined, then the terms without variables (constants) can be combined.

$(3x+-10x)+(2+-3)$

$(3x-10x)+(2-3)$

Subtract 10x from 3x.

$(-7x)+(2-3)$

Subtract 3 from 2.

$(-7x)+(-1)$

$-7x-1$

The simplified expression is -7x-1

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

Price of widget = $37.87 ≈ $37.9

7 0

3 years ago

If x-y = 40 and x+y = 70, then what is the value of x squared -y squared ?

OlgaM077 [116]

Let's see what to do buddy...

____________________________

Reminder:

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

So we need to just Multiply above equations like this :

$x + y = 70$

$x - y = 40$

$(x + y)(x - y) = 70 \times 40$

${x}^{2} - {y}^{2} = 2800$

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0

3 years ago

Plz help with these questions

Hitman42 [59]

Maybe try multiplying them

7 0

2 years ago

Two cyclists leave towns 253 kilometers apart at the same time and travel towards each other. One cyclist travels 5km/h faster t

Sladkaya [172]

Answer:

The rate of the slower cyclist is

$22\frac{4}{5}km/h$

and that of the faster cyclist is

$27 \frac{4}{5}km/h$

Step-by-step explanation:

We let x be the rate of the slower cyclist

$rate \times time = distance$

From the question, the distance between the two towns is 253 and the time taken for the two cyclist to meet is 5 hours

so we can write the equation

$5x + 5(x + 5) = 253$

We simplify to get the value for x

$\implies5x + 5x + 25 = 253$

$\implies10x = 253 - 25$

$\implies10x = 228$

$\implies x =22 \frac{4}{5}$

Hence the rate of the slower cyclist is

$22 \frac{4}{5} km/h$

and that of the rate faster cyclist is

$27 \frac{4}{5}km/h$

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3 years ago

fias goal was to raise 5000 dollars to help protect to protect manatees she raised 5000 dollars what percennt of goal did she ac

zheka24 [161]

100 percent of her goal

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3 years ago