Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
The slope between two points


As the point-slope form is

substituting the values m = -9/10 and (8, -4)

Writing the line equation in the slope-intercept form

where m is the slope and b is the y-intercept
so the equation in the slope-intercept form will be:


subtract 4 from both sides


Therefore, the equation in the slope-intercept form will be:

Answer:
20 years
Step-by-step explanation:
Using the formula; A = P(1 + r)^t
We can plug in the known to find t
400 = 220(1.03)^t
then solve for t;
1.818 = 1.03^t
Introducing In
In 1.818 = t × In (1.03)
t = 20.225
t = 20 years to the nearest year
9514 1404 393
Answer:
420
Step-by-step explanation:
The prime factors of each denominator are ...
12 = 2²×3
14 = 2×7
5 = 5
10 = 2×5
The unique factors are 2²×3×5×7 = 420.
The least common denominator of these fractions is 420.
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<em>Additional comment</em>
- 5/12 = 175/420
- 9/14 = 270/420
- 2/5 = 168/420
- 1/10 = 42/420
Answer: ok well if you know that 2(x+3) + 4 = 4x + 6
ok well you know that 4+3+2= 9, and 4+ 6= 10 then that means that x must be 1 so they equal.
Step-by-step explanation:
Umm I kind of explained it already but hope this helps!
Answer:
a) Amount of pasta remaining ≤ p(12 - 8)
b) Amount of pasta remaining ≤ 4p
Step-by-step explanation:
Amount of pasta in one container = p
Let y represent the amount of pasta that is left.
Since the students eat 8 containers worth of pasta out of 12 pasta containers
But we weren't told that the students did not eat out of the 4 remaining pasta containers
y ≤ p(12 - 8)
where y = p(12 - 8) if the students did not touch the remaining 4 containers.
b) Using the distributive property
p(12 - 8) = 12p - 8p
y ≤ 12p - 8p
y ≤ 4p