Answer:
Option 3
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.
Step-by-step explanation:
y = -4x - 19 y = 2x − 1
-4x - 19 = 2x - 1
6x = -18
x = -3
y = 2(-3) - 1 = -7
Answer:
He needs to get 1 right
Step-by-step explanation:
1/40 is equal to .025. This means the other 39/40 incorrect ones are worth .975(97.5%). If we multiply the .975 by the 15 percent of his overall grade, we get 14.625. When you subtract this from the overall grade, you get 70.075, which is just above a 70%.
Answer:
It will take 9 years
Step-by-step explanation:
Let x = number of years
you're adding x to each age to get
Pams age after x years: 14+x
Dad's age after x years: 37+x
Since the question is "In how many years will pans dad be twice as old as she will be?", this means that the equation is then
2(14+x)=37+x
Now solve for x
2(14+x)=37+x
28+2x=37+x
2x=37+x-28
2x-x=37-28
x=37-28
x=9
So the solution is x=9
This means that it will take 9 years.
Consider the point P where the gears meet. When the smaller gear rotates clockwise, the larger one will rotate counterclockwise.
Through one rotation of the smaller gear, P will have traveled the circumference of the smaller gear, which is in.
At the same time, a point P' on the larger gear traverses the same distance along the larger gear's circumference. This point traces out an arc that is subtended by some angle . The arc is as long as the smaller gear's circumference.
The measure of a circle's interior angle subtended by an arc is proportional to a complete revolution, i.e. an angular displacement of radians:
For part 2, we apply the same reasoning to the larger gear. In one full rotation of the larger gear, the point P' traverses the circumference in, and so does the point P on the smaller gear.
A full rotation is 360 degrees, so the smaller gear would have rotated times.
Let a be the constant the quadratic term
y = ax²
32 = a(2)²
a = 8
Using the same method for each pair of x and y, we can confirm that the value of a is 8.
The answer is A.