The answer to your Q is 4
to graph f (x) + k, move the graph k units up..your answer should be;
y = x ^ 2 + 5/2
Answer:
Step-by-step explanation:
first, we find the slope
slope = (y2 - y1) / (x2 - x1)
(-3,7)....x1 = -3 and y1 = 7
(9,-1)...x2 = 9 and y2 = -1
now we sub
slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3
y = mx + b
slope(m) = -2/3
use either of ur points...I will use (-3,7)...x = -3 and y = 7
now we sub and find b, the y intercept
7 = -2/3(-3) + b
7 = 2 + b
7 - 2 = b
5 = b
so ur equation is : y = -2/3x + 5 <===
X=-3
because
-4x=21-9
-4x= 12 divide both sides
x=-3
Answer:
first number(x) = 2 second number(y)= 6
Step-by-step explanation:
This is an example of a simultaneous equation.
First write this word problem as equations, where x is the "first number" that you've mentioned and y is the "second number".
x + 2y = 14 (equation 1)
2x + y = 10 (equation 2)
This is solved using the elimination method.
We need to make one of the coefficients the same - in this case we can make y the same. In order to do this we need to multiply equation 2 by 2, so that y becomes 2y.
2x + y = 10 MULTIPLY BY 2
4x + 2y = 20 (this is now our new equation 2 with the same y coefficient)
Now subtract equation 1 from equation 2.
4x - x + 2y - 2y = 20 - 14 (2y cancels out here)
3x = 6
x = 2
Now we substitute our x value into equation 1 to find the value of y.
2 + 2y = 14
2y = 12
y = 6
Hope this has answered your question.
