Slope-intercept form: y=mx+b, with m being the slope and b being the y-intercept. First, plug in the given slope into the slope form:
y=2x+b
Now, given the coordinates (1,4), you can plug the coordinates into the equation for x and y respectively, to solve for b (the y-intercept).
4=2(1)+b
4=2+b
Subtract 2 from both sides.
2=b
The y-intercept is 2.
Now, plug that into the equation:
y=2x+2
The answer is y=2x+2.
I hope this helps :)
Answer:
6 pounds of potatoes = $9
3 pounds of onions = $9
The onions cost $3 per pound
and the potatoes cost $1.50 per pound
Step-by-step explanation:
Easy
equation is
f(x)=2ˣ
where x=number of hours elapsed
after 6 hours
f(6)=2⁶=64 bacteria
to solve for 1024
1024=2ˣ
take ln of both sides
ln(1024)=ln(2ˣ)
ln(1024)=x(ln(2))
divide both sides by ln(2)
ln(1024)/ln(2)=x
using calculator
10=x
or you could recognize that
1024=2¹⁰
or keep divising 1024 by 2
10 hours for 1024 bacteria
Answer: option A is the correct answer.
Step-by-step explanation:
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.
If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes
p = kn
2.52 = k × 6
k = 2.52/6 = 0.42
Therefore, the equation representing the relationship is
p = 0.42n
2 - 2 * 0 ≤ 1
<span>2 ≤ 1 </span>
<span>4 - 2 * (-2) ≤ 1 </span>
<span>8 ≤ 1 </span>
<span>4 - 2 * (1) ≤ 1 </span>
<span>2 ≤ 1 </span>
<span>0 - 2 * 5 ≤ 1 </span>
<span>-10 ≤ 1 </span>
<span>(TRUE</span>
