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2 years ago

What does 3(1+x)-5=3x-2 equal ?

Mathematics

1 answer:

lesantik [10]2 years ago

4 0

Answer:

Step-by-step explanation:

Theres different ways you can solve this but the way I did it both sides were equal to eachother.

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Multiply Conjugates Using the Product of Conjugates Pattern

weeeeeb [17]

Answer:

The product is the difference of squares is $\left(xy-9\right)\left(xy+9\right)={{x}^2}{{y}^2}-81$

Step-by-step explanation:

Explanation

The given expression is (x y-9)(x y+9).
We have to multiply the given expression.
Square the first term xy. Square the last term 9 .

$\begin{aligned}&(x y-9)(x y+9)=(x y)^{2}-(9)^{2} \\&(x y-9)(x y+9)=x^{2} y^{2}-81\end{aligned}$

5 0

1 year ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

2 years ago

Please answer asap! show work! 11. What is (f.g)(x)? f(x) = x3 +3 g(x) = 2x2 + x - 1

Ksenya-84 [330]

Answer:

2x⁵ + x⁴ - x³ + 6x² + 3x - 3

Step-by-step explanation:

Given :

f(x) = x³ + 3
g(x) = 2x² + x - 1

Finding (f × g)(x) :

f(x) × g(x)
(x³ + 3)(2x² + x - 1)
2x⁵ + 6x² + x⁴ + 3x - x³ - 3
2x⁵ + x⁴ - x³ + 6x² + 3x - 3

6 0

1 year ago

A babysitter earns the same amount per hour. She earned $36 for 3 hours of babysitting. Which equation describes the relationshi

Brilliant_brown [7]

Answer:

y= 12x

Step-by-step explanation:

36/3=12

12× x =y

________________________

6 0

2 years ago

Match the base to the corresponding height. Base (b) Height (h)

Leona [35]

Answer:

See attachment

Step-by-step explanation:

Remember: height is always perpendicular to the base

See attached for answer

3 0

2 years ago