Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.
Let us solve the inequality for x.
We have 17 is being subtracted in the middle.
Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get
175+17 ≤ 3x-17+17 ≤ 187+17
192 ≤ 3x ≤ 204.
Dividing by 3.
192/3 ≤ 3x/3 ≤ 204/3.
64 ≤ x ≤ 68.
Therefore, the height of the driver should be from 64 to 68 inches to fit into the race car.
Answer:
Read below
Step-by-step explanation:
(2)2(−4)3. (2)3 +(−4)2. Substitute 2 for x and −4 for y. 4(−64). 8+16. = −256 ... An equation is a term used to describe a collection of numbers and variables related ... gives us a set of coordinate points that we can plot to create a graph of the function. ... The tick-marks on the number line represent evenly spaced integers.
Answer:
(2, -3) and r = 3.
Step-by-step explanation:
you can also plug this equation in desmos but I guess it's good to know how to do it also:
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2
Now in order to make a perfect square on both sides, we need to do this:
First add 9 to both sides:
x^2 + 6x + 9 + y^2 -4y +4 = 9.
I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:
(x+3)^2 + y^2 - 4y + 4 = 9.
now the second bolded part is allso a perfect square. Factor:
(x+3)^2 + (y-2)^2 = 9
Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.
:)
It’s y= 30x + 200 for the linear equation and the answer is 440
