Answer:
01
Step-by-step explanation:
Answer:
9:20 am
Step-by-step explanation:
The cycles will coincide again at the least common multiple of the cycle times.
20 min = 4 × 5 min
16 min = 4 × 4 min
The least common multiple of these times is 4 × 4 × 5 min = 80 min. 80 minutes after 8 am is 9:20 am.
The two buses will next leave at once at 9:20 am.
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<u><em>Answer:</em></u>m(x) has the same domain as (m*n)(x)
<u><em>Explanation:</em></u><u>1- For m(x):</u>m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>
<u>2- For n(x):</u>The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>
<u>3- For (m*n)(x):</u>(m*n)(x) = m(x) * n(x) = </span>
![\frac{x-5}{x-1} *(x-3) = \frac{(x-5)(x-3)}{(x-1)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx-5%7D%7Bx-1%7D%20%2A%28x-3%29%20%3D%20%20%5Cfrac%7B%28x-5%29%28x-3%29%7D%7B%28x-1%29%7D%20)
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We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>
This is the same as the domain of m(x)</u>
Hope this helps :)</span>
That is:
Forty-five thousand, five hundred seventy-two.
~Deceptiøn
Givens
x + y = 3
x =6 - 4y
Solution
Use the top equation to substitute for x in the second equation.
x = 3 - y
Put this result into the second given equation and solve for y
3 - y = 6 - 4y Add 4y to both sides.
3 - y + 4y = 6 Combine on the left
3 + 3y = 6 Subtract 3 from both sides
3 - 3 + 3y = 6 - 3 Combine
3y = 3 Divide by 3
3y/3 = 3/3 Combine
y = 1
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x + y = 3 but y = 1
x + 1 = 3 Subtract 1 from both sides.
x + 1 - 1 =3 - 1
x = 2
Answer
x = 2
y = 1