Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Peta has 10 plums. The second sentence is unnecessary.
The answer will be p+q+r, or p+r+q, or q+p+r. Hope it help!
Answer:
f = 1
Step-by-step explanation:
Use the method of cross- multiplication
=
⇒ ad = bc, thus
20f = 5(f + 3) ← distribute
20f = 5f + 15 ( subtract 5f from both sides )
15f = 15 ( divide both sides by 15 )
f = 1
Answer:
Step-by-step explanation:
Solve this by using natural logs. Taking the natural log of both sides:

To undo the multiplication, we use addition:

The rule says we can now bring the exponent down in front of the ln:

Now we will subtract ln(7) from both sides:
(8x - 8)ln(16) = ln(3) - ln(7)
Now we will divide both sides by ln(16):
then add 8 to both sides:
which simplifies to
8x = 7.694401895 so
x = .9618002368 or, rounded,
x = .96
(Rest assured I did the math and checked the answer and it checked out perfectly!) I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)