First, subtract 7 on both sides. Now, you have 4x<1. Divide by 4 on both sides. Finally, you get x<1/4 (a quarter or said as one-fourth). So, x<1/4.
Answer:
Domain (-3, 4, 5)
Range (1, 2, 6)
Step-by-step explanation:
Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).
Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).
So, basically you just look at all the number that come first so say you have
(1,2), (2,3), (3,4)
Your first numbers to each point are (1, 2, 3) which is your Domain
then look at the second number which are (2, 3, 4) which is your Range.
Hope this helps!
So taking (0,-2) and (-3,-6) then it is -2-(-6)/0-(-3) or 4/3
Answer:
Width of the rectangle = 15 inches
Length of the rectangle = 25 inches
Step-by-step explanation:
Let the width of the rectangle = k inches
So, the length of the rectangle = (2k -5) inches
Perimeter = 80 in
Perimeter of a rectangle = 2 (Length + Width)
⇒ 80 = 2(k + (2k -5)
or 80 = 6k - 10
⇒ 6k = 80 + 10 = 90
or k = 90 / 6
⇒ k = 15
So the width of the rectangle = k = 15 inches
And the length of the rectangle = 2k -5 = 2 x 25 - 5 = 25 inches
Answer:
Step-by-step explanation:
a. a, b, c
Quadratic equations in standard form are written as:
The exponents are listed from greatest to least. The quadratic is already in this form, so match up the variables and values in the equation.
b. Y-intercept
The y-intercept for a quadratic is c.
You can also substitute 0 in for x, because the y-intercept occurs when the quadratic crosses the y-axis (at x=0).
We know that c=2, so the y-intercept is c.
c. Maximum/minimum
The entire quadratic is positive, so the quadratic opens up and has a minimum.
