Step-by-step explanation:
g(x) = 2x - 9
g(4) = 2* 4 - 9
= 8 - 9
= - 1
g(1) = 2 * 1 - 9
= 2 - 9
= - 7
Now
g(4) - g(1)
= - 1 - ( -7)
= - 1 + 7
= 6
Hope it will help :)
Answer:
- The solution is (x, y) = (-2, 0)
- A graph is attached
Step-by-step explanation:
The graph shows the solution. The first equation has a y-intercept of -4 and a slope of -2, so will go through the point (-2, 0).
The second equation has a y-intercept of +4 and a slope of 2, so will go through the point (-2, 0).
Both equations have the same x-intercept, so that x-intercept is the solution to the system of equations.
Answer:
Inequality is
Slope intercept form is
Solutions are
Graph: attached to the question
Step-by-step explanation:
Given: Group dance numbers last 4 minutes and a solo performance lasts 3 minutes. The maximum duration for the recital is 87 minutes.
To find: inequality (in standard form) that describes the given situation, inequality in slope-intercept form, solutions for the inequality
To graph: the inequality
Solution:
x denotes the number of group dances on the program
y denotes the number of solo numbers on the program
Total duration of group dance numbers = minutes
Total duration of solo performance = minutes
According to question,
Slope intercept form of equation is where m denotes slope of line and c denotes y-intercept of the line.
Slope intercept form of :
For ,
So, is a solution of the inequality.
For ,
So, is a solution of the inequality.
Graph: attached as image
The volume of the pyramid is 2496 cu.m.
<h3>What is a Pyramid ?</h3>
A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .
It is given that
A pyramid has a 4 m by 4 m square top
Height = 12 m
Base = 20 m
The volume of a square pyramid with a is given by
V = (1/2) * ( Area of base + Area of ) * height of the from the base
V = 0.5 * ( 20 *20 + 4*4 ) * 12
V = 2496 cu.m
The volume of the pyramid is 2496 cu.m.
To know more about Pyramid
brainly.com/question/13057463
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There is no picture so I can't help.