Solve it by substitution. First let's rewrite the first equation (3x+4y=16) so we have y = something, then we'll substitue that in to the other equation.
3x+4y=16
4y=-3x+16
y=-3/4x+4
Now we can substitute this into the other equation.
Answer:
at 2/3 seconds
Step-by-step explanation:
S1(t) = t³ + 2
Average speed, dS1/dt = 3t²
S2(t) = t²
Average speed, dS2/dt = 2t
The distance between the objects is
dS1/dt - dS2/dt
= 3t² - 2t
The time the distance between the two object is at minimum is when the distance is 0
That is, when
3t² - 2t = 0
t(3t - 2) = 0
t = 0 or 3t - 2 = 0
t = 0 or t = 2/3
Answer:
(0, 7)
Step-by-step explanation:
The point that crosses the y-axis is called the y-intercept of the line.
We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.
What are constants?
Constants are such terms that include only numbers. There should be no variables in constants.
<u>We know that:</u>
The constant we can see in the equation is "7". Therefore, the y-intercept is 7.
Note: The y-intercept of the line must have an x-coordinate of 0.
<u>Therefore,</u>
⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).
Hello!
Since the numbers are going up by 4 every time the next 3 are 1, 5, and 9
So the answer is D
Hope this helps!
The problem is asking you how many tbsp of vanilla are needed to make 6 cups of icing. The vanilla ratio of the recipe is :1, so the answer would be 96 tablespoons. The one tells you that you only need one part for each (1:1)
