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2 years ago

6

Suppose your heart beats 70 times a minute. How long would it take for it to beat 1 million times?

1 answer:

Nina [5.8K]2 years ago

6 0

Answer:

14285.7142857

Step-by-step explanation:

1 mil divided by 70= 14285.7142857

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Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.

7 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

2 years ago

Yesterday 116 vehicles went through Express Car Wash. Of these vehicles, 74 were minivans. Express the ratio of vehicles other t

riadik2000 [5.3K]

E. 74/116=0.637 hope this helps

5 0

3 years ago

A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?

makkiz [27]

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

3 0

2 years ago

Read 2 more answers

WILL MARK BRAINLIEST A number cube is rolled and a coin is flipped. Predict how many times you would get heads and a number grea

Over [174]

Answer:

coin flip is 1/2

2 numbers are less than 3 so 2/6 = 1/3

1/2 x 1/3 = 1/6 probability total

240 x 1/6 = 40

answer is C) 40

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers