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2 years ago

9

Hi! I need help with this problem! (screenshot below) Thanks! :D

2 answers:

LenaWriter [7]2 years ago

4 0

The slope is 1/2 and the Y intercept is -3, so the equation will be Y=1/2x-3

BigorU [14]2 years ago

3 0

Answer:

y = ½x - 3

Step-by-step explanation:

The question is asking for the line to be formatted in the y = mx + b format.

m is the slope of the line
b is the y intercept

For this question, the slope is 1/2, for every 1 unit the line goes up (rise), it goes 2 units forward (run). The y intercept is -3, hence the equation of the line is y = ½x - 3.

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Find 38.01% of 111. Round to the nearest thousandth

Svetllana [295]

Answer:

42.191

Step-by-step explanation:

Punch it in the calculator and round the decimal from 42.1911 to 42.191

3 0

3 years ago

I need step by step instructions on how to get the y-intercept for the following function:

Svetllana [295]

Luktdkilfdiykfg;oizxkuilouyk7it8rl,kvkuc kugc ulv lug

4 0

3 years ago

Lilly made a 89 on her Math test. The test had 26 questions, how many questions did she miss?

anygoal [31]

She missed 3 questions,

11/100 equals x/26
^set up this proportion
you get 286 equals 100x
and x equals 2.86

round this to 3 questions

to check your work, do 23/26

6 0

3 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

2 years ago

Evaluate 9/m+4 when m = 3.<br>

irinina [24]

Answer:

9/3+4=

4+3=

7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers