Answer:
Answer is A
Step-by-step explanation:
When you are determining the answer to the question, make sure you know to change the signs. The answer is - 7. 7
Answer:
The expression will be (\frac{n}{2} - 6) + 10(
2
n
−6)+10 and its value is 8.
Step-by-step explanation:
We are asked to write the expression and the value of “six less than the quotient of a number and two, increased by ten”.
If the number is n, then the expression will be (\frac{n}{2} - 6) + 10(
2
n
−6)+10 .
Now, if the value of n is 8 then the value of the expression will be (\frac{8}{2} - 6) + 10 = 4 - 6 + 10 = 8(
2
8
−6)+10=4−6+10=8 (Answer)
Answer:
(A)
As per the given condition.
You have 2 equations for y.
i,e y =8x and y= 2x+2
then, they will intersect at some point where y is the same for both equations.
That is why in equation y=8x you exchange y with other equation you got which is y=2x+2 once you do this you will have
8x = 2x+2 and the solution of which will satisfy both equation.
(B)
8x = 2x + 2
to find the solutions take the integer values of x between -3 and 3.
x = -3 , then
8(-3) = 2(-3) +2
-24 = -6+2
-12 = -4 False.
similarly, for x = -2
8(-2) = 2(-2)+2
-16 = -2 False
x = -1
8(-1) = 2(-1)+2
-8= 0 False
x = 0
8(0) = 2(0)+2
0= 2 False
x = 1
8(1) = 2(1)+2
8= 4 False
x = 2
8(2) = 2(2)+2
16 = 6 False
x = 3
8(3) = 2(3)+2
24 = 8 False
there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.
(C)
The equations cab be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.
The point of intersection are the values of the variables which satisfy both equations at a particular point.
you can see the graph as shown below , the point of intersection at x =0.333 and value of y = 2.667
Answer:
y = 1/3 x + 7
Step-by-step explanation:
Given; the line is passing through, (-6,5) and the slope is 1/3
We can get its equation;
We would take, a point (x,y) and the given point (-6,5)
Therefore; Since slope = Δy/Δx
Then;
(5-y)/ (-6-x) = 1/3
3(5-y) = -6 -x
15 - 3y = -6 - x
we get;
3y = 6 + x + 15
3y = x + 21
Therefore;
<u>y = 1/3 x + 7</u>