Standard form of an exponential function is y=ab^x
when x=0, y=3, 3=ab^0, so you can figure out that a=3
when x=-1, y=6, 6=3b^(-1), b^(-1)=2, b=1/2
so the equation is y=3(1/2)^x
Answer:
<HKJ = 90
<FKG = 42
<FKJ = 138
<IKJ = 42
<FKH = 132
<GKI = 138
Step-by-Step :
<GKH , <HKI , and <IKJ all make up a line. A line is 180 degrees.
90 + 48 = 138 180 - 138 = 42 <IKJ = 42
<FKG is a vertical angle to <IKJ. Vertical angles are congruent.
<FKG = 42
<FKG and <FKJ make up a line. A line is 180 degrees.
180 - 42 = 138 <FKJ = 138
Hope this helps.
Answer:
66 mph or 88 mph (I'm a little stuck)
Step-by-step explanation:
Here's how I got this answer:
Conner has to travel 42 miles to get to work.
He left at 7:13 and needs to get to work before 9:30.
If he's going 11 mph for 22 miles, a little less than 2 hours have passed.
If we round up to 2 hours, he has about 15 minutes to get to work.
I multiplied by 22 (the amount of miles he still has left to go) by 2 and got 44. I then realized that would take about 30 minutes (too much time). I did the same thing again but instead I multiplied by 3 and got 66. This is where I got confused. I still can't decide whether the answer is 66 mph, or 88 mph.
(I got the 88 by multiplying 22 by 4.)
(Also, I typed about the same thing in the comments but then typed it out here, too. I would wait for someone else to answer the question or you could choose between the two of my answers and hope for the best haha. You could also email you teacher or someone that could help you!)
Answer:
Infinite solutions
Step-by-step explanation:
If you look at the equation, you will see that if you multiply everything by two (On the 1st equation), you get the 2nd equation. This means that the lines are the same, so infinite solutions.
-2x-4y = 2
-2x-4y+4y = 2+4y
-2x=4y+2
Divided by 2:
-2x/-2 = 4y +2/ -2
Answer: x=-2y-1
3x +4y =8
3x + 4y = -4y = 8+-4y
3x= -4y +8
Divided by 3
3x/3 = -4y + 8/3
x=-4/3y + 8/3
Bonus!
# of reserved seat tickets
r.
# of reserved admission ticket's
g
4r + 3g = 5792
r + g= 1787
