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3 years ago

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

8 0

The first graph.

It's right on edge

horrorfan [7]3 years ago

6 0

Answer:

The linear function is $y=-x+3$ . The graph of function is given below.

Step-by-step explanation:

The slope intercept form of a linear function is

$y=mx+b$

Where, m is slope and b is y-intercept.

Since the slope is -1 and the y-intercept is 3, therefore the linear function is,

$y=-x+3$

put y=0, to find x-intercept.

$0=-x+3$

$x=3$

Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.

The graph of the linear function $y=-x+3$ is given below.

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3 years ago

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3 years ago

Read 2 more answers

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liubo4ka [24]

It is E X= 22

J LINE SUPPLEMENTARY ANGLE so
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3 years ago

Monica knows that she should spend no more than 1/3 of her income on her rent. She really wants to move into a cool condo downto

Andrew [12]

Answer:

$6,900

Step-by-step explanation:

Let

x = Amount Monica should earn each month

Rent per month = $2,300

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1/3 of her Income = rent

1/3 of x = 2,300

1/3x = 2,300

x = 2,300 ÷ 1/3

x = 2,300 * 3/1

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2 years ago

I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli

dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it grows by using t=25 minutes and $\frac{A_{0}}{A} =2$ or double the amount at that time. The first step we always take is to divide $A_0$ by A.

$[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}$

$2=e^{(25)r}$

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

$ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r$

We know $lne=1$ so we were able to cancel it out and divide both sides by 25.

We solve with a calculator $\frac{ln2}{25} =r\\0.0277=r$

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is $A=A_0e^{0.0277t}$ .

We repeat the step above substituting A=5,000,000, $A_0$ =50, and r=0.02777. Then solve for t.

$5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t$

t=415.63 minutes

6 0

3 years ago