Answer:
You have to graph and label the points
Step-by-step explanation:
3x-5 is just a straight line which is lesser than or equal to -1 so that is a closed circle
-2x+3 is another straight line which is (both open circle) which its domain is restricted from -1 to 4
2 is just a horizontal line starting at (closed circle) 4, it is greater than also.
If you don't understand the the constants (the numbers on their own) just a vertical translation.
If the cross either the x or y axis, you have to find that too, im pretty sure.
To find the y axis intercept, make x = 0 and solve for y
and to find the x axis intercept, make y = 0 and solve for x
Answer:
<1=28, <2=62
Step-by-step explanation:
You know that the large triangle is 180 and there is a smaller triangle that is also 180. You are also provided an angle is 90 and another is 62.
90+62=152.
180-152=28. So, angle 1=28.
28+90=118.
180-118=62
y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)
<em><u>Solution:</u></em>
Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)
The formula y = mx + b is said to be a linear function
Where "m" is the slope of line and "b" is the y - intercept
Let us first find the slope of line
Substituting values we get,
Thus slope of line is m = 3
To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b
3 = 3(2) + b
3 = 6 + b
b = 3 - 6
b = -3
Thus the required equation of linear function is:
Substitute m = 3 and b = -3 in formula
y = mx + b
y = 3x - 3
Thus the equation of linear function is found
Answer:
5/6 oz/pamphlet
Step-by-step explanation:
Find the unit rate:
7 1/2 oz 15 oz 1
--------------------- = ------------- * -------------------- = 15/18 oz/pamphlet, or
9 pamphlets 2 9 pamphlets
5/6 oz/pamphlet
The inequality of the given question is x+2y ≥ 150
Step-by-step explanation:
Given,
The mark out of 100 for Term 1 exam and twice the mark out of 100 for the term 3 exam are added together.
And, he needs to obtain 150 to achieve the grade.
To find, the inequality to student mark
Let,
The student got x in Term 1 and y in Term 2.
To be passed, he needs to get x+2y
So, the requited inequality will be x+2y ≥ 150
