Manny's grocery store has a

Factors of x2 – 3x + 2 are hy

gogolik [260]

Given x ^2 −3x+2=0

x ^2 −2x−1x+2=0

(Resolving the expression)

x(x−2)−1(x−2)=0 (Taking common factors)

(x−2)(x−1)=0 (Taking common factors)

∴x−2=0 or x−1=0 (Equating each factor to zero)

∴x=2 or x=1

∴2 and 1 are the roots of x ^2 −3x+2=0

<h2>Hope it helps you✨.</h2>

Thanks☸.

6 0

3 years ago

20 is 1/10 (one tenth) of what number?

NARA [144]

Answer:

20 is 1/10 of 200.

Step-by-step explanation:

100*(1/10) = 10

200*(1/10) = 20

Since 100 times 1/10 is 10, all you have to do is double it. So now, 200 times 1/10 is 20.

:) Hope this helps!

4 0

3 years ago

A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

4 0

3 years ago

When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.

myrzilka [38]

Both are correct they just chose a different variable to solve for first. they will both get correct answers if they do the rest correctly.

5 0

3 years ago

Read 2 more answers

molly is painting a model house and needs to know how much paint she will need. she knows the surface area of the prism is 216 s

Andrej [43]

Answer:

Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.

Part 2) The dimensions of this surface are 6 in x 6 in.

Part 3) Molly needs to paint 228 square inches.

Step-by-step explanation:

Part 1) Which surface is shared by the two solids?

we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2) What are the dimensions of this surface?

The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in

Part 3) what is the area molly needs to paint?

we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches

8 0

3 years ago