Answer:
43 and 5
Step-by-step explanation:
Let's let the two unknown numbers be a and b.
Their sum is 48, therefore:
And their difference is 38. In other words:
We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:
Substitute this into the first equation:
Combine like terms:
Subtract 38 from both sides:
Divide both sides by 2:
So, one of the numbers is 5.
The sum of them is 48. Therefore, the other number is 48-5 or 43.
So, our two numbers are 43 and 5.
And we're done!
I hope this helps you
3x^2-11x-20
3x +4
x -5
(3x+4)(x-5)
Start with y = x2
Shift 2 units left to get y = (x+2)2
Vertically stretch to get y = 6(x+2)2
Reflect across x-axis to get y = -6(x+2)2
Shift 7 units down to get y = -6(x+2)2 - 7
hope this helps!
Answer:
1/6
Step-by-step explanation:
The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.
2/3 x 6 = 4
So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.
The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.
(2/3)/(1/6) = 4
Answer:
4
Step-by-step explanation:
Given that At the pet owner’s meeting, there are 20 people who own dog, and 35people who own cat and 9 people own goldfish. Some people own both catand dog and some people own both gold fish and cat. No dog owners owngoldfish. There are twice as many people who own both goldfish and catthan people who own both dog and cat.
Total no of people =52
The venn diagram attached gives a clear picture
assuming x to be owners of both dog and cat. Then 2x is for both goldfish and cats.
Totalling all mutually exclusive we get
64-3x=52
x=4
No of owners who own both cat and dog =4
