Answer:
The distance between of the park to the school is approximately 8.6 miles
Step-by-step explanation:
The given information are;
The location of the school from the house = 4 miles East and 1 mile South
The location of the park from the house = 3 miles East and 4 mile South
By representing the direction East (x-direction) as being in the direction of vector and the direction South (negative y-direction) as being in the direction of vector , we have;
The location of the school from the house = 4· +
The location of the park from the house = 3· + 4·
The distance, l, between the park and the school is given by the resultant of the two vectors as follows
= 4· + 3·
= + 4·
Therefore,
The distance between of the park to the school ≈ 8.6 miles.
Answer:
<h3>
There is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.</h3>
Step-by-step explanation:
Given the equation y = 750x which represents the number of dollars y Olivia earns in x weeks, from the equation, it can be inferred that the number of dollars olivia earns is DIRECTLY PROPORTIONAL to the number of weeks. This relationship is therefore a direct variation.
In direct variation, increase in a variable will lead to corresponding increase in the other variable and vice versa by a factor known as the constant of variation.
For example if y is directly proportional to x, it is written mathematically as shown;
where k is the constant of proportionality.
comparing the general expression above with the equation in question,
y = 750x
k = 750
Therefore we can conclude that there is a constant of variation in the equation and it is 750. This means that the amount olivia earns increases by $750 every week.
Answer:
5.33% rate
Step-by-step explanation:
so here the principle(P) is 375 Naira
time(T) = 1/2 (half year)
Interest (I)= 10 Naira
rate (R)= ?
we have a formula
I =(PTR)/100
or, R =(I×100)/(PT) = (10×100)/(375×0.5)= 5.33%
For the first part, it is y < 2x + 2
& the second part is (-1, -2)
F(x) = 5 + 2x where x is the number of times he walks the neighbours dog
y-intercept is at y=5 and slope = 2
g(x) :- As x increases by 4 g(x) decreases by -8 so the slope is -8/4 = -2
when x = 0, g(x) = the y intercept is at -1 + (-8/2) = - 5
so equation of g(x) is g(x) = -5 -2x
h(x):- the slope is (3 - 5) / (1 - 0) [ difference in y values / diff in x values]
slope = -2
so we have h(x) = -2x + c where c = the y-intercept
when x = 0 h(x) = 5
so c = 5
h(x) = 5 - 2x
Now j(x)= 2x - 5 - slope is 2 and y intercept = -5