H(x)=x²
g(h(x))=4(x²)²=4x^4
f(g(h(x)))=2(4x^4)+1=8x^4+1
B is the answer.
So a box of 20 chocolates is divided between a group of people based on age
So the ratio for Sibusiso, Dorris, and Freddy is 2:3:5
Add these together, and you get 10
So to find how much each person gets, divide total amount of chocolates by total age
So (20÷10) = 2
So multiply each age term by 2 and you have your answer
(4:6:10)
So Sibusiso gets 4, Dorris gets 6 and Freddy gets 10
Answer: 5y + 4x = - 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their gradients = -1.
If the gradient of the first line is 
and the gradient of the second line is 
, if the lines are perpendicular, them
x = -1 , that is
= 
The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.
The equation in slope -intercept form is given as :
y =mx + c , where m is the slope and c is the y - intercept.
Writing the equation in this form , we have
5x - 4y = + 3
4y = 5x -+3
y = 5x/4 + 3/4
comparing with the equation y = mx + c , then = 5/4
Which means that = -4/5 and the line passes through the point ( -5 , 2 ).
Using the equation of line in slope - point form to find the equation of the line;
y - 
= m ( x - )
y - 2 = -4/5 ( x +5)
5(y - 2 ) = -4 ( x + 5 )
5y - 10 = -4x - 20
5y + 4x = - 10
Answer:
18
Step-by-step explanation:
A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.
You want ...
10x +y = 2(x +y)
1 ≤ x ≤ 9
0 ≤ y ≤ 9
The equation can be simplified to ...
8x = y
The only single-digit values for x and y that satisfy the requirements are ...
x = 1, y = 8
The two-digit number of interest is 18.
_____
<em>Check</em>
Its sum of digits is 1+8 = 9. 2×9 = 18.
_____
<em>Comment on the relationship in the problem</em>
Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.
Answer:
y=1/3x+0 or y=1/3x
Step-by-step explanation:
find the slope by taking two points and putting them in
y2 - y1/x2 - x1
so, (3,1) and (6,2) becomes 2-1/6-3 or 1/3 so, slope is 1/3
then to find y intercept you can put a point (6,2) and slope (1/3) into slope intercept form y - y1 = m(x - x1)
y - 2 = 1/3(x-6)
when you solve this you get y = 1/3x + 0, so y intercept is 0. you can also see. this on the graph given
