Answer:
y=8x
Step-by-step explanation:
an equation follows the structure of y=mx+b where m is the slope and b is the y-intercept for this line the y intercept is 0 so you dont have to include it in your equation and the slope = rise over run so 8/1=the slope if you put it into an equation the answer is y=8x
Answer:
The answer to your question is
a) Poster width = 3 in
lenght = 9 in
b) banner
width = 2 in
lenght = 10 in
Step-by-step explanation:
a) For the poster
width = x
lenght = 3x
Perimeter of a rectangle = 2base + 2 height
= 2(x) + 2(3x) = 24
2x + 6x = 24
8x = 24
x = 24/8
x = 3
width = 3 in
lenght = 3(3) = 9 in
b) For the banner
width = y
lenght = 5y
Perimeter of a banner = 2 base + 2 height
2 (y) + 2(5y) = 24
2y + 10y = 24
12y = 24
y = 24/12
y = 2
width = 2 in
lenght = 5(2) = 10 in
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
Answer:
0.670. M
Step-by-step explanation:
Molarity can be expressed like this:
molarity
= number of moles
/volume (L)
We know the volume, which is 2.37 L
, but we need to find the number of moles. We can do this by dividing 67.3 g by the molar mass of L
i
C
l
:
number of moles =
mass of sample
/molar mass
number of moles = 67.3 g
/(6.94 + 35.45) g/mol =
67.3 g
/42.39 g/mol
number of moles = 1.59 mol
molarity
=
1.59 mol
/2.37 L
= 0.670. M
Answer:
answer is C
Step-by-step explanation:
A survey reported that out of 50 teenagers, 9 said they get their news from a newspaper.
