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skelet666 [1.2K]

3 years ago

10

I don't know how to find the answer for (3 + 6b + 3b^2). I'm still confused even after my teacher explained it. Could someone br

eak it down for me?

1 answer:

yarga [219]3 years ago

8 0

Answer:

steps below

Step-by-step explanation:

3 + 6b + 3b² = 3 (b² + 2b + 1) = 3 (b + 1)²

root: -1 if 3 + 6b + 3b² = 0 b = -1

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

$4x+3y=0.37\\3x+4y=0.33$

Solving both equations to find value of x and y

Let:

$4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)$

Multiply eq(1) with 4 and eq(2) with 3 and subtract

$16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07$

Putting value of x in equation 1:

$4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03$

So, x= 0.07 and y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

4 0

3 years ago

Hi I really need help

denis-greek [22]

To solve this, you can first solve each expression:

35 / 6 = 5.83333

5 + 3/10 = 5.3

5 = 5

35 / 10 = 3.5

15 / 5 = 5

5 + 5/6 = 5.8333333

3 = 3

10 * 1/2 = 5

So, the tiles of 5, 15*1/5, and 10*1/2 all equal 5.

The tiles of 35/6 and 5+5/6 equal 5.83333.

The remaining tiles to not have matches.

4 0

3 years ago

Read 2 more answers

A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 5050 states. what is the probability that

defon

Part A:

Given that <span>A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 50 states.

The number of ways of selecting the route of 4 specific capitals is given by

$^{50}P_4= \frac{50!}{(50-4)!} = \frac{50!}{46!} =50\times49\times48\times47=5,527,200$

Therefore, the probability that she selects the route of four specific capitals is $\frac{1}{5,527,200}$

Part B:
</span>
<span>The number of ways of selecting the route of 4 specific capitals is 5,527,200.

Since </span><span>the number of ways of selecting the route of 4 specific capitals is too large it is not practical to list all of the different possible routes in order to select the one that is best.

Therefore, "</span><span>No, it is not practical to list all of the different possible routes because the number of possible permutations is very large."</span>

3 0

3 years ago

I need help with this cause of online I don’t know how to do this

WITCHER [35]

Answer to problem 1 is (-4, 4)

Answer to problem 3 is (2, 2)

=====================================

Explanation:

When the center of a dilation is the origin (0,0), we simply multiply the scale factor by each coordinate.

For problem 1, point U is located at (-2,2). Multiply each coordinate by the scale factor 2 (since it says "dilation of 2") to get (-4,4)

For problem 3, we multiply 0.5 by each coordinate of the point U(4, 4) getting to U ' (2,2)

--------------

The dilation rule used here is $(x,y) \to (kx, ky)$ where k is the scale factor or dilation factor. This rule only applies if the center of dilation is (0,0). For other centers, you'll need to apply a translation first, dilate, then translate back again.

If k > 1, then the point moves further away from the origin.

If 0 < k < 1, then the point moves closer to the origin.

5 0

3 years ago

Kristin's credit rating was lowered, and the credit card company raised her APR from 14% to 15.2%. If her average daily balance

Sloan [31]

Answer:

0.0022x

Step-by-step explanation:

Given that,

The credit card company raised her APR from 14% to 15.2%.

Her average daily balance this month is x dollars.

We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :

$y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x$

So, the required increase in the month's finance is 0.0022x.

3 0

3 years ago

Read 2 more answers