Here are the step for solving this:
1. 3y + 5 > 23
-5 -5
3y/3 > 18/3
y > 6
In words what you are doing is getting y by itself on one side. Subtract the 5 to undo the adding of 5 first. Then, divide both sides by 3.
For a linear function, the instantaneous rate of change is everywhere equal to the slope. Thus the rate of change of the function h(x)=2x on the interval 2≤x≤4
The rate of change of the function given will equal to its slope, thus;
slope,m=(y-1-y)/(x_1-x)
=(2*4-2*2)/(4-2)
=(8-4)/2
=4/2
=2
the answer is 2
Question 1:
F(x) and g(x) are like variables, just plug into the equation.
f(x) + g(x) = (x + 6) + (12x - 7)
x+6+12x-7 = 13x-1
Question 2: f(3) + g(-1)
You plug in the x-values into the equation, and then take the answer and add them together.
f(3) = 3+4
g(-1) = 12(-1)-6
f(3) = 7
g(-1) = -18
7 + (-18) = -11
Question 3:
This is similar to question 1, plug in the variables and simplify.
9x - (7x+3)
Remember to distribute the "-"
9x - 7x - 3
2x - 3
Let
A (1,6)------> location <span>brianna's house on a map
B </span>(5,3)------> location Jordan's house on a map
we know that
One possible path from brianna's house to jordan's house it's a straight line ( <span>the shortest distance)</span>
using a graph tool
see the attached figure
find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units
the distance from brianna's house to jordan's house is 25 units
The lateral surface area excludes the top and bottom, the <em>bases </em>as they're referred to here. So we have the 9×5 front and back, and the 9×6 left and right sides.
Lateral Area = 9×5 + 9×5 + 9×6 + 9×6 = 9×(5+5+6+6) = 9×22 = 198
Answer: 198 square inches