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2 years ago

11

1. 1. Under a dilation

1 answer:

Effectus [21]2 years ago

7 0

1:(12,14)
2: 3
3:(15,30)
4: 6
5(8,12)
6:5
7:(35,42)
8:;

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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

3 years ago

PRE-CALC<br><br>Determine when 2x^3 + 3x^2 – 17x - 30 < 0 using a sign chart.

Oksi-84 [34.3K]

Step-by-step explanation:

Use the Rational Zero Theorem to list all possible rational zeros of the function.

Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. ...

Repeat step two using the quotient found with synthetic division. ...

Find the zeros of the quadratic function.

3 0

3 years ago

Distributive property of 9*45

Mashutka [201]

<span>9*45
= 9(40 + 5)
= 360 + 45
= 405

answer
</span>Distributive property of 9*45 = 9(40 + 5)

8 0

3 years ago

Help me solve this equation 3x-7=4x

Sauron [17]

Hey!

Let's write it, $3x-7=4x$
Add $7$ to both sides,
$3x-7+7=4x+7$
$3x=4x+7$
Subtract $4x$ from both sides.
$3x-4x=4x+7-4x$
$-x=7$
Since we don't want a negative variable, we have to divide both sides by $-1$ .
$\frac{-x}{-1}=\frac{7}{-1}$
Our answer would be,
$x=-7$

Thanks!
-TetraFish

4 0

3 years ago

Read 2 more answers

Help please which statement best completes the diagram?

avanturin [10]

Answer:

D

Step-by-step explanation:

This is by definition of civil law

3 0

2 years ago