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3 years ago

Alexa ran 2/3 of a mile. Caleb ran 5/8 of a mile. Who ran farther?

1 answer:

4 0

Switching to common denominators, alexa ran 18/24 of a mile. caleb ran 15/24 of a mile. for alexa’s distance, you would do (2•8)+(3•8). for caleb’s distance you would do (5•3)+(8•3). hope this helped!

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What is the solution of the system? Use substitution.

trasher [3.6K]

4x-y=5

3x-7=2

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5

4x-y=5

(4)(3)-y=5

-y+12=5

Now add -12

-y=12-12=5-12

-y=-7

Divide both sides by -1 so we can eliminate the negative sign

-y/-1=-7/-1

y=3

The answer is A

(3,7)

I hope that's help:0

6 0

3 years ago

12) Write the equation of a rational function

aev [14]

Answer:

$\frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)}$

Step-by-step explanation:

A rational function is

$\frac{p(x)}{q(x)}$

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

$(x - p)$

Step 1: We have asymptote as 0 and -1 so our denomiator will include

$(x - 0)(x - ( - 1)$

Which is

$(x)(x + 1)$

So our denomator so far is

$\frac{p(x)}{x(x + 1)}$

Step 2: Find Holes.

Since 12 is the value of the hole,

$(x - 12)$

is a the binomial.

This will be both on the numerator and denomator so qe have

$\frac{(x - 12)}{x(x + 1)(x - 12)}$

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

$\frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)}$

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

$\frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12}$

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

$\frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)}$

Above is the function,

5 0

3 years ago

Determine the domain of the function.

Dafna1 [17]

We are given with a verbal phrase of a function of x is equal to the square root of x plus one divided by x plus four times x minus six.

This is expressed as f(x) = √(x) + 1/x + 4x - 6
the domain are values which include only natural numbers because of the square root sign. answer is D. x ≥ 0

4 0

3 years ago

Write the expression in simpliest form WILL GIIVE BRAINLIEST 3 (2x - 3)

AlekseyPX

Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation:

7 0

3 years ago

Given two dice, what is the probability of rolling a four on the second die, given that you already rolled a four on the first d

Sholpan [36]

Answer: 1/6

Reason:

There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.

The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.

8 0

2 years ago