Answer:
y=3x-4 is the slope-intercept form of the equation of a line. It is in the form y=mx+b.
m is the slope (often called "rise over run") and b is the y-intercept (the point where x=0).
The y-intercept is the point (0,-4).
We need one other point. This is where finding easy calculations pays off. How about where x=2, y=(3)(2)-4 = 2.
That's the point (2,2).
Step-by-step explanation:
tell me if you get it
The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve
The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,
From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2
Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
Read more about rates of change at:
brainly.com/question/13103052
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Answer:
Her uncle's age = 47 years
Step-by-step explanation:
Sophia = 12 years old
Her Uncle Reynald tells her that if she adds 5 to her age,
= 12 + 5
multiplies the sum by 3
= (12 + 5) × 3
and then subtracts 4 from the product
= {(12 + 5) × 3} - 4
she will find his age
{(12 + 5) × 3} - 4
= (17 × 3) - 4
= 51 - 4
= 47
Her uncle's age = 47 years
Sophia wrote:
12 + 5 × 3 − 4
Using PEMDAS
P - product
E - exponent
M - multiplication
D - division
A - addition
S - subtraction
Sophia's expression can be written as = 12+(5*3)-4
= (12 + 15) - 4
= 27 - 4
= 23
Sophia's expression is wrong
Start by multiplying the 9 out:
9(-6 + 8y) = -54 + 72y
Then, add the 7:
-54 + 72y + 7
Then simplify the whole thing:
-47 + 72y
Answer:
{PP, PR, RP, RR}
Step-by-step explanation:
Given that:
Passenger vehicle = P
Recreational vehicle = R
For each of the next two vehicles :
Sample space :
_____ P ______ R
P ___ PP _____ PR
R ___ RP _____ RR
{PP, PR, RP, RR}
B.) Tree diagram can be found in attached picture
