Answer:
Alice-4
John-8
Dad-40
Step-by-step explanation:
1) using the information we know if j is John's age and a is Alice's age and d if dad's age:
2a=j
d=5j=5(2a)=10a
(a+2)+(d+2)+(j+2)=58
2) substitute the d and j for the equivalent terms using a so there is only one variable, Alice's age:
(a+2)+(10+2)+(2a+2)=58
3) combine like terms and isolate the variable and you should get your answer.
6 - 4x = (3 - x)
Subtract 6 from both sides, as well as adding x to both sides.
-4x + x = 3 - 6
Add like terms.
-3x = -3
Divide both sides by -3.
x = 1
So, your answer is c) All real, numbers because all of the other answer choices are wrong.
We know this because a) and b) are incorrect. To know if they are incorrect, you just plug in the numbers. When 2 and -2 are plugged into the equation, it is incorrect. So, you solve the equation, and you now know that it is not D) because there is a solution.
So, once again, your answer is C.
~Hope I helped!~
Answer: (A) vertical asymptote: x = 2, horizontal asymptote: y = 1
<u>Step-by-step explanation:</u>
<u>Vertical Asymptote</u> is the restriction on the x-value. The denominator cannot be zero, so x - 2 ≠ 0 ⇒ x ≠ 2
The restricted value on x is when x = 2 <em>which is the vertical asymptote</em>
<u>Horizontal Asymptote</u> (H.A.) is the restriction on the y-value. This is a comparison of the numerator (n) and denominator (m). There are 3 rules that will help you:
- n > m No H.A. (use long division to find slant asymptote)
- n = m H.A. is the coefficient of n divided by coefficient of m
- n < m H.A. is 0
In the given problem, n < m so y = 0, however there is also a vertical shift of up 1 so the H.A. also shifts up. This results in H.A. of y = 1
Since x=months,
50x=y
Where x is the number of months times the monthly charge. Y is just the output, or end value.
I hope this helps!
~kaikers
Gina saw 25 monkeys
25 ÷ 5 = 5
5 + 7 = 12
12 + 6 = 18
25 + 5 +12 + 6 = 48 animals
gina saw 48 animals at the zoo
