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olya-2409 [2.1K]
3 years ago
9

The expression 1/3b-1/3 factored

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
Since 1/3 is in both 1/3b and -1/3, we can factor it out. Since b*1/3=b and 
(1/3)/(1/3)=1, we get (1/3)*(b-1) using the distributive property
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Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?
lara [203]

circumference =2×pi×r

18/2=9(r)

so...2×pi×9

=54..5

6 0
2 years ago
Read 2 more answers
Please help me with this!!!
RSB [31]
The answer that you have is most likely right, since the grouping did not change.
4 0
3 years ago
I need to simplify this
Korvikt [17]
Hi there!

3 \sqrt{54} + 2 \sqrt{24} =
First we split up the square root into two parts.

3 \times \sqrt{9} \times \sqrt{6} + 2 \times \sqrt{4} \times \sqrt{6} =
Now we calculate the value of the square roots which have an integer as a solution

3 \times 3 \times \sqrt{6} + 2 \times 2 \times \sqrt{6} =
Multiplying the integers gives us our next step.

9 \sqrt{6} + 4 \sqrt{6} =
And finally we add up the roots.

13 \sqrt{6}
3 0
3 years ago
A citrus grower ships grapefruit in boxes of 10. One season, The growers shipped 20,400 boxes of grapefruit. How many grapefuit
erica [24]
204,000 grapefruit.

There are 10 grapefruit in each box and there are 20,400 boxes; you need to multiply the number of grapefruits in each box (10) times the number of boxes (20,400) 

10x20,400=204,000

Don't forget the units! In this problem, the units are grapefruit.
3 0
3 years ago
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