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Murljashka [212]

2 years ago

5

Are the given values in the table enough information to show an exponential function instead of a linear function? If not, expla

in why not then write the equations for both an exponential and linear function represented by the table.

1 answer:

baherus [9]2 years ago

3 0

Step-by-step explanation:

Are the given values in the table enough information to show an exponential function instead of a linear function? If not, explain why not then write the equations for both an exponential and linear function represented by the table.

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3.<br><br> What is the value of a + bc when a = 7, b = 4, and c = 1/2

Brums [2.3K]

Answer:

9

Step-by-step explanation:

Replace a by 7

and

b by 4

and

c by 1/2

7+4(1/2)

7+2=9

3 0

2 years ago

A population of mice is increasing exponentially. On Monday there were 120 mice. One month later there were 132 mice. Write a fu

den301095 [7]

Answer:

$y =120*1.1^x$

$r = 10\%$ --- Percentage increase

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:

$120 =a * 1$

$120 =a$

Rewrite as:

$a = 120$

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

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

$b = 1.1$

Recall that:

$y = ab^x$

Hence, the function is:

$y =120*1.1^x$

To get the monthly percentage increase (r), we have:

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

Compare to: $y = ab^x$

So:

$1+r =b$

Make r the subject

$r = b-1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

8 0

2 years ago

Simplify 12x to the power of 7 y to the power of 3 divided by 6x to the power of 3 y

Galina-37 [17]

Answer:

2x⁴y²

Step-by-step explanation:

The question gives us the expression;

12x⁷y³ ÷ 6x³y

We are supposed to simplify the expression;

First we could divide the digits;

12 ÷ 6 = 2

Then we divide the like terms;

x⁷ ÷ x³

This means;

$=\frac{x*x*x*x*x*x*x }{x*x*x}$

$= x*x*x*x$

$=x^4$

y³ ÷ y

That is;

$=\frac{y*y*y}{y}$

$=y*y$

$=y^2$

Therefore, the simplified expression will be 2x⁴y²

7 0

3 years ago

I need to know this ASAP 20 points,

Sonbull [250]

Answer: B

Step-by-step explanation:

7 0

3 years ago

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There are 4 times as many used cars in the car dealer ship lot is there a new car there are 120 cars total in the dealership lik

guapka [62]

There are 30 new cars and 90 used cars in the dealership.

120/4=30 new
120-30=90 used

6 0

3 years ago

Read 2 more answers