Answer:
x = ±4
Step-by-step explanation:
3x^2 =48
Divide by 3
3x^2/3 = 48/3
x^2 = 16
Take the square root of each side
sqrt(x^2) = ±sqrt(16)
x = ±4
Slope =change of y / change of x = (0-4)/(0-1) = -4/ -1 = 4
Equation of a line : y=mx+b where m is the slope, 4 and b is the y intercept, 0 (from the second point given.
Y=4x
Answer:
x =7
Step-by-step explanation:
Remark
- A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
- Each term is multiplied by a common number and the term before it. In this case the common term is 3.
- To get the next term after 9, you multiply 9 by 3.
- To get the common ratio divide the second term by the first and then the third term by the second
Equation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
- (x + 2)/(x - 4) = 3/1 Cross multiply
- (x + 2)*1 = 3*(x - 4) Remove the brackets on the right.
- x + 2 = 3x - 12 Add 12 on both sides.
- x + 2 + 12 = 3x - 12 + 12 Simplify
- x + 14 = 3x Subtract x from both sides
- 14 = 3x - x
- 2x = 14 Divide by 2
- x = 14/2
- x = 7
Because 19 is being divided, you have to do the opposite. What's the opposite of division? Multiplication. So multiply 19 to -7, then get rid of the 19 on the x's side(cuz it was cancelled out). Now you should have x<-133. In case you don't know, positive times negative equals negative, but negative times negative equals positive.
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hope it helps
Step-by-step explanation:
2 < x < 4 and 3 < y < 7
We have (2 + 3) < (x + y) < (4 + 7),
Therefore 5 < x + y < 11.
The largest integer value for
x + y is 10.
