Answer:
<h2>y = 3.5x - 2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<h3>y = mx + b</h3>
m - slope
b - y-intercept
We have y-intercept b = -2. Substitute:
<h3>y = mx - 2</h3>
We have the point (4, 12) → x = 4, y = 12. Put them in the equation:
12 = 4m - 2 <em>add 2 to both sides</em>
14 = 4m <em>divide both sides by 4</em>
14/4 = m → m = 3.5
It's just like multiplying and dividing a negative, such as -1 *2=-2 and -2 / 1= -1
if there is one negative then it will be negative, so in this case it will be -7 / 2=
answer= -3 1/2
To do this you need to multiply 1,800 by ten. you will get 18,000. Then you need to divide this by 1000 to get 18. 18 1000's will equal ten 1800
Answer:
5d
Explanation:
5 is the coefficient and when put directly next to d gives you 5 times d
Answer:
a. Constant of proportionality, k = 1/45
b. hours/miles
c. t = d/45
Step-by-step explanation:
From the table given, we see that time (hours) increases as distance (miles) increases. We say that time, t varies directly as distance, d
And it is written mathematically as
t α d
t = kd..... (1)
to use the constant of proportionality, k to write a unit rate for the data in the table.
From equation (1), we make k subject of formula
k = t/d
t is in hours and d is in miles, so we can write that
k = hours/miles.
hours/miles is the unit rate for the data
when t = 2, d = 90.
We substitute these values for t = 2, d = 90 into the equation labelled (1)
t = kd
2 = k90
We divide both sides of the equation by the coefficient of k
2/90 = 90k/90
k = 1/45
k = 1/45 is the constant of proportionality.
We then substitute this value of k = 1/45 into equation (1)
t = kd
t = d/45
t = d/45 is the equation to represent the relationship between time t and distance d
