Answer:
Step-by-step explanation:
If a horizontal line intersects the graph of a function in all places at exactly one point (the horizontal line test), the inverse of the function is also a function.
For example, the inverse of a hyperbola (like ƒ(x) =1/x) is a function, because every horizontal line intersects with the graph at exactly one point.
However, the inverse of a parabola (like ƒ(x) = x²) is not a function, because a horizontal line intersects with the graph at two points.
Answer: x = 1 and y = 2
Given:
y = -3x + 5
5x - 4y = -3
Since we are given y, let’s sub it in the second equation.
5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1
After finding x, we can now find y.
5(1) - 4y = -3
-4y = -8
y = 2
Checking:
y = -3x + 5
2 = -3(1) + 5
2 = 2
5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3
Answer:
Addition of Polynomials
1Add: 3x3 – 5x2 + 8x + 10, 15x3 – 6x – 23, 9x2 – 4x + 15 and -8x3 + 2x2 – 7x.
2Add: 7a + 5b, 6a – 6b + 3c and -5a + 7b + 4c. ...
3Add: 3a2 + ab – b2, -a2 + 2ab + 3b2 and 3a2 – 10ab + 4b2 ...
4Add: 5x + 3y, 4x – 4y + z and -3x + 5y + 2z. First we need to write in the addition form. ...
Step-by-step explanation:
Hope it helps ya ItzAlex
Hey there!
-2<3x+1
= 3x + 1 < -2
SUBTRACT 1 to BOTH SIDES
3x + 1 - 1 < -2 + 1
CANCEL out: 1 - 1 because that gives you 0
KEEP: -2 + 1 because that helps you solve for x
-2 + 1 = -3
New EQUATION: 3x > -3
DIVIDE 3 to BOTH SIDES
3x/3 > -3/3
CANCEL out: 3/3 because that gives you 1
KEE3 -3/3 because that helps us compare for x
-3/3 = -1
Answer to the equation: x > -1
OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
12
Step-by-step explanation:
There are many ways to approach this problem. I like a method that uses the least amount of computation. We could figure how much Wendy makes on a bag of chips, the additional amount Wendy wants to make, then divide the latter by the former to find the number of additional bags to sell.
We could use a proportion to figure the number of bags corresponding to $126 in earnings, then subtract the 72 bags already sold. Essentially, we will do this, but without the intermediate numbers.
__
The additional fraction of 72 bags will be ...
(126/108) -1 = 18/108 = 1/6
Then Wendy must sell an additional ...
(1/6)×(72 bags) = 12 bags
to increase her earnings to $126.
