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3 years ago

Simplify foundation of alegebra

Mathematics

1 answer:

Eva8 [605]3 years ago

3 0

1.) -8 + 10(6 + 4r)

First multiply the 10 into (6 + 4r)

-8 + 60 + 40r

52 + 40r

2.) (8m² - 8m + 8) - (2m - 7m² - 6)

Distribute the - into (2m - 7m² - 6)

8m² - 8m + 8 - 2m + 7m² + 6

Combine like terms

15m² - 10m + 14

(idk if you need to factor this or if you can leave it as is)

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A parabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?

KiRa [710]

Here we are given the x intercepts at x=3 and x=9

So let us try to make quadratic equation for this using given information.

We have factors in the form (x-a)(x-b)

where a and b are x intercepts given to us.

So rewriting in factored form:

$y=(x-3)(x-9)$

Now let us simplify it:

$y=x^{2}-12x+27$

Let us find the vertex now,

For a quadratic equation of the form:

$y=ax^{2}+bx+c$

For x coordinate , we have the formula,

$x=\frac{-b}{2a}$

So using this formula for our equation,

$x=\frac{-(-12)}{2(1)}$

So x = 6

Answer: The x-coordinate of the parabola's vertex is 6.

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3 years ago

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What is the equivalent fraction of 4/5

Aleks04 [339]

Answer:

16/20

Step-by-step explanation:

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3 years ago

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Help me with just 27

tankabanditka [31]

Answer:

16/13

Step-by-step explanation:

the error is when it was divided, one of the fractions should be reversed to be multiplied

4 ÷ 13

7. 28

4 × 28 ,like this

7. 13

= 112 ,divide both by 7

= 16

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3 years ago

A rabbit hopped 1.5 ft as a mouse scurried 18 inches. What is the difference in the distance the two animals traveled? Give your

tino4ka555 [31]

Hey You!

1.5 ft = 18 inches

There is no difference between the distance the two animals traveled.

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At 1:30 p.m., Tom leaves in his boat from a dock and heads south. He travels at a rate of 25 miles per hour. Ten minutes later,

Nadya [2.5K]

Answer: she would catch up with Tom in 1 hour.

Step-by-step explanation:

Let t represent the time it will take for Mary to catch up with Tom.

Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.

Distance = speed × time

Distance travelled by Tom in t hours is

25 × t = 25t

Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour

Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in

(t - 10/60) hours is

30(t - 10/60)

= 30t - 5

By the time she catches up with Tom, they would have covered the same distance. It means that

25t = 30t - 5

30t - 25t = 5

5t = 5

t = 5/5 = 1 hour

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3 years ago