Here the topic is "functions." Roughly speaking, we have a box. Input enters at one end and output exists at the other. Now, if every input value x (such as 2) is doubled by the box, every output value is 2x: (0,0), (1,2), (2,4), etc.
We call this "doubling" a "constant rate of change.
If you plot the points given, you'll see that they all are on a straight line. That straight line has the slope 2: y = 2x. Again, 2 is the "constant rate of change" here.
If you drive at a steady 55 mph, you are covering 55 miles during every hour behind the wheel. Again, 55 is a "constant rate of change."
Answer:
Your answer is x=10
Step-by-step explanation:
In parallelogram opposite side are equal
Therefore, NM=OL
Therefore, 7x+12 = 9x-8
Therefore, 12+8 =9x-7x
Therefore, 20 = 2x
Therefore, 20/2 =x
Therefore, x =10
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Answer:
A
Step-by-step explanation:
3 goes into 9
4 goes into 12
And 5 goes into 20
Answer:
From the picture it looks like 1/3
Step-by-step explanation:
use the coordinates (2,-1) and (5,0) then plug them in to y2-y1/x2-x1 = 0-(-1)/5-2= 1/3
Hope this helps!
Answer:
Put the equation in standard form by bringing the 4x + 1 to the left side.
7x2 - 4x - 1 = 0
We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.
b2 - 4ac In this case, a = 7, b = -4, and c = -1
(-4)2 - 4(7)(-1)
16 + 28 = 44
Now here are the rules for determining the nature of the roots:
(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)
(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)
(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)
44 > 0, so there are two real roots