Answer:
Tema = 26 years
Juma = 13 years
Abdul = 26 years
Step-by-step explanation:
Let their ages be represented as:
Tema = x
Juma = y
Abdul = z
From the question, we are told that:
Juma is twice as old as Abdul
y = 2z
z = y/2
= 0.5y
And Juma is a half times as old as Tema.
y = 1/2x
y = 0.5x
x = y/0.5
x = 2y
Hence,
x + y + z = 65
2y + y + 2y = 65
= 5y = 65
y = 65/5
y = 13 years
Since y = Zuma's age, Zuma is 13 years old
From the above question
Since 2y = z
y = 13
2 × 13 = z
z = 26
Since z = Abdul's age, Abdul is 26 years old
From the above question
x = 2y
y = 13 years
x = 2 × 13 years
x = 26 years.
Since x = Tema's age
Tema is 26 years.
Therefore, their present ages are:
Tema = 26 years
Juma = 13 years
Abdul = 26 years
Answer:
x=15
Step-by-step explanation:
x+165degrees=180degrees
x=180-165
x=15
Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
Answer:
42
Step-by-step explanation:
You can prove this by taking 42 and dividing it by 6, and you will see that the answer is 7. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 7?", all you have to do is multiply the two known numbers together.
Answer: Second option is correct.
Explanation:
Since we have given that

And 
To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.
So,
Here, we have,

So, we will find f(-2) which will give us the required remainder,

Hence, Second option is correct.