Ask question

Ask question

All categories

soldier1979 [14.2K]

2 years ago

12

50 pts !!! What is the product of x+2 and x-7? Write your answer in standard form.

2 answers:

sukhopar [10]2 years ago

7 0

Answer:

x^2-7x+2x-14 or x squared minus seven x plus two x minus fourteen

Step-by-step explanation:

(x+2)*(x-7)= x^2-7x+2x-14

First: x^2

Outer: -7x

Inner: 2x

Last: -14

WITCHER [35]2 years ago

3 0

Answer:

x²-5x-14

Step-by-step explanation:

Write the equation (x+2)(x-7)

Multiply (F in FOIL)

x*x =x²

Multiply (O in FOIL)

x*-7 = -7x

Multiply (I in FOIL)

2*x = 2x

Multiply (L In FOIL)

2*-7 = -14

Combine like terms

-7x + 2x = -5x

Write the equation

x²-5x-14

You might be interested in

Is ketchup a jelllllyyy? Help plsssss

zaharov [31]

No it’s not a jelly or a jam

5 0

2 years ago

Read 2 more answers

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

What is 5 ___ square root 18

sweet [91]

Answer:

>

Step-by-step explanation:

5 is greater than the $\sqrt{18}$ .

$\sqrt{18}$ = 4.24264068712 ...

<u>Hope this helps and have a nice day!</u>

6 0

3 years ago

Read 2 more answers

Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4

zvonat [6]

Answer:

$\sf y=-\dfrac12x+2$

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

$\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12$

Slope-intercept form of linear equation: $\sf y=mx+b$

(where m is the slope and b is the y-intercept)

Given:

$\sf m=-\dfrac12$
b = 2

$\sf \implies y=-\dfrac12x+2$

3 0

2 years ago

Simplify all the ratios. Show your work!

Dmitrij [34]

I can help u but just give me 5 mins or 2 to help u :) ill get back to u right away

4 0

3 years ago