Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.

6 0

3 years ago

The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4 years, there were 560 bats. I

Veseljchak [2.6K]

Answer:

23040 bats

Step-by-step explanation:

Let N(t) be the number of bats at time

We know that exponential function

$y = ab$

According to question

$N(t) = ab^{2}$

Where t (in years)

Substitute t=2 and N(2)=180

$180 = ab^{2}$

Substitute t=5 and N(5)=1440

$1440 = ab^{5}$

Equation (1) divided by equation (2)

$\frac{180}{1440} = \frac{ab^{2} }{ab^{5}} = \frac{1}{b\frac{5-2}{}}$

By using the property

Substitute the values of b in equation (1)

Substitute t=9

Hence, after 9 years the expected bats in the colony=23040 bats

3 0

2 years ago

PLEASE ANSWER QUICKLY

Olegator [25]

Answer:

x=3

Step-by-step explanation:

Set equations equal to each other:

$x^3-3x^2+2=x^2-6x+11$

Subtract two from both sides

$x^3-3x^2=x^2-6x+9$
Factor out x^2 from the left side

$x^2(x-3)=x^2-6x+9$

Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3

$x^2(x-3) = (x-3)(x-3)$

So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.

this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0

It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.

So one of the real solutions is at x=3

6 0

2 years ago