Answer:
- Martin has 684 baseball cards
- Matt has 392 baseball cards
Step-by-step explanation:
Let N, J, K, M represent the numbers of cards that Martin, Josie, Kal, and Matt have, respectively.
<u>Equations</u>
We are told ...
N = 12J
J = 29 +K
M = 14K
K = 28
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<u>Solution</u>
Working from the bottom up, ...
M = 14·28 = 392
J = 29 +28 = 57
N = 12J = 12·57 = 684
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The answers to the questions asked are ...
Martin has 684 baseball cards; Matt has 392 baseball cards.
Answer:
The percentage decrease is 27%
Step-by-step explanation:
To find the percent decrease, first find the difference in the two costs.
$205,000 - $149,650 = $55,350
Now divide that number by the original cost.
$55,350/$205,000 = 27%
Answer:
3) (2,-9)
4) (0,-5)
5) (1,-8)
Step-by-step explanation:
3)
The vertex will occur between you x-intercepts.
You already found that happens at x=2.
To find the corresponding y-coordinate, replace x in
f(x)=(x+1)(x-5) with 2:
f(2)=(2+1)(2-5)
f(2)=(3)(-3)
f(2)=-9
So the vertex is (2,-9).
4)
The y-intercept is when x=0.
So in f(x)=(x+1)(x-5) replace x with 0:
f(0)=(0+1)(0-5)
f(0)=(1)(-5)
f(0)=-5
So the y-intercept is (0,-5).
5)
To find another point just plug in anything besides any x already used.
We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.
So replace x in f(x)=(x+1)(x-5) with x=1:
f(1)=(1+1)(1-5)
f(1)=(2)(-4)
f(1)=-8
So another point to graph is (1,-8).
Answer:
6
Step-by-step explanation:
So the greatest common factor 18 and 48 is 6.
