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3 years ago

There are 3 Parts. Make sure to answer all 3 Parts. Read the problem and write your

Mathematics

1 answer:

Kryger [21]3 years ago

6 0

Answer:

The answer is below

Step-by-step explanation:

The equation of a linear function is given as:

y = mx + b;

where y, x are variables, m is the rate of change and b is the initial value of variable y.

A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:

T = 25h + B

B) Given that B = 5, h = 6, hence:

T = 25(6) + 5 = 150 + 5 = 155 bacteria

C) The equation of the graph is:

T = 25h + 5

The graph was plotted using geogebra online graphing.

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Express each decimal as a fraction in simplest form. help-

SVETLANKA909090 [29]

Answer:

1. 1/2

2. 4/5

3. 9/10

4. 3/4

5. 12/25

6. 18/25

Step-by-step explanation:

4 0

2 years ago

Use average rates of change to determine if the function in the table is Linear or Non-linear.

nevsk [136]

We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.

We know that a function is linear when its rate of change (slope) is constant.

Let us find slope for each of the given points using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1$

Similarly, we will find the slopes using other given coordinates.

$m=\frac{-6-(-3)}{7-4}=\frac{-6+3}{3}=\frac{-3}{3}=-1$

$m=\frac{-9-(-6)}{10-7}=\frac{-9+6}{3}=\frac{-3}{3}=-1$

Since the rate of change for each set of points is $-1$ , so the rate of change is constant.

Therefore, the given function is linear.

3 0

3 years ago

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Opt

Gwar [14]

Step-by-step explanation:

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?

7 0

3 years ago

Read 2 more answers

what is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0? o (-12,-2) o (-6, -1) o (6, 1) (12, 2)

Leno4ka [110]

Answer:

(6,1)

Step-by-step explanation:

1.) group the x and y terms (and move the constant to the other side)

x²-12x+y²-2y= -12

divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)

x²-12x+36+y²-2y+1= -12+36+1

factor

(x-6)²+(y-1)²= 25

the center is therefore (6,1)

7 0

3 years ago

3. At the start of summer, Ben has $250 . He takes a summer

earnstyle [38]

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning. He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning. He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

3 0

3 years ago