Answer:
transitive property of equality
Step-by-step explanation:
in math if A=B and B=C, then A=C
Answer:
(1,2)
Step-by-step explanation:
Substitution:
x + 2y = 5 Solve for x
x = -2y + 5 Substitute -2y + 5 in for x in the second equation
4x - 12y = -20
4(-2y + 5) - 12y = -20 Distribute the 4
-8y + 20 - 12 y = -20 Combine the y term
-20y + 20 = -20 Subtract 20 from both sides
-20y = -40 Divide both sides by -20
y = 2
Plug y into either of the 2 original equations to get x.
x + 2y = 5
x + 2(2) = 5
x + 4 = 5
x = 1
The answer is (2,1).
Elimination:
x + 2y = 5 4x - 12y = -20. We want to eliminate with the x or the y. I am going to eliminate the x's that means that I have to multiply the first equation all the way through by -4
(-4)(x + 2y) = (5) (-4) That makes the equivalent expression
-4x - 8y = -20 I will add that to 4x - 12y = -20
<u>4x - 12y = -20</u>
0x -20y = -40
-20y = -40
y = 2. Plug 2 into either the 2 original equation to find x. This time I will select the second original equation to find x.
4x -12y = -20
4x - 12(2) = -20
4x - 24 = -20
4x = 4
x = 1
Answer:
Step-by-step explanation:
a) this graph is that of a parabola that opens up. As is the case for all parabolas, the domain is the set of all real numbers. The range begins with the smallest y-value, which is -4, extending upwards from there: [-4, infinity)
b) this graph's shape most closely resembles that of a polynomial; as we move from left to right, y increases, reaches a local maximum, decreases to a local minimum, and then continues to increase with x. As is the case for all polynomials, the domain is the set of all real numbers. As we move from x = 0 to the left, y decreases without bound; from x ≥ 12 onward, y increases without bound; thus, the range is (-infinity, +infinity).
c) The graph represents a quarter of an ellipse for which x begins at -40 and ends at [4, -16]. Thus, the domain is [-40, 4]. By inspection we see that the smallest y value is -16 and the largest is 4; thus, the range is [-40, 4].
Answer:
227 dollers
Step-by-step explanation:
multiply 3.49 and 15 to get 52.35
multiply 4.99 and 35 together to get 174.65
then add 52.35 and 174.65 to get the total dollors amounts of 227
Y=25(1.025)^x
Rate: r=1.025-1
r=0.025>0 (positive), then the function is increasing
r=0.025*100%
r=2.5%
Answer: Second option: Increasing by 2.5%
