Rate equal distance/time equal 3.5/1.25
The unit rate is 2.8/1
Answer:
A. x = 2 and y =2
B. x = 3 and y = -1
Step-by-step explanation:
A. {
x = 3y − 4
2x − y = 2
1) Substitute the value of x
2(3y − 4) − y = 2
2) Solve the equation for y
y = 2
3) Substitute the value of y
x= 3(2) -4
4) Solve the equation for x
x = 2
Final Solution: x = 2 and y =2
B. {
3x + 2y = 7
−x + y = −4
1) Multiply both sides of the equation by 3
-3x + 3y = -12
2) Eliminate one variable by adding the equations
3x + 2y = 7
<u>+ (−3x + 3y = −12)</u>
5y = -5
3) Divide both sides of the equation by 5
y = -1
4) Substitute the given value of y into the equation -x + y = -4
-x + (-1) = -4
5) Solve the equation for x
x = 3
Final Solution: x = 3 and y = -1
Height in feet is represented by ![f(x) = -16(x^2-5x-6)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16%28x%5E2-5x-6%29)
The height of the ball is 0 feet when it hits the ground.
So we replace height f(x) by 0 and solve for x to find the time taken to reach the ground
![f(x) = -16(x^2-5x-6)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16%28x%5E2-5x-6%29)
( divide by -16 on both sides)
![0=(x^2-5x-6)](https://tex.z-dn.net/?f=0%3D%28x%5E2-5x-6%29)
Now factor it
(x-6)(x+1) =0
x-6 =0 and x+1=0
x=6 and x=-1
Time cannot be negative so we ignore -1
x = 6 seconds
It will take 6 seconds for the ball to reach the ground.
How many 1-inch cubes do you need to create a cute with an edge length of 3 inches
Hahahah i think i already did this for you buttttt
the denominator can be distributed to both parts of 9a and -3
so you can rewrite it as (9a/3) and (-3/3)
to simplify (9a/3) is equal to 3a and (-3/3) is equal to -1
so the answer is 3a-1