Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form:
where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
To find the lateral area you will find the area of all 4 faces that are perpendicular to the base.
You will multiply the side by the length (front/back) and the side by the width (sides).
12 x 8 = 96
12 x 2 = 24
120 square inches x 2 = 240 square inches
The lateral area is 240 square inches.
The area of the base is 8 x 2 = 16 square inches.
16 x 2 = 32 square inches
240 square inches + 32 square inches = 272 square inches is the surface area.
Answer:
0.5b + 1.5p ≤ 8
Step-by-step explanation:
The inequality function is as follows:
Let us assume the number of bananas acquired be b
And, the number of peaches acquired be p
Cost of each banana be $0.50
ANd, the cost of each peach be $1.50
Also the total would be $8
The possible values of banana is 0.5b
And, for peaches it would be 1.5p
So, the inequality function is
0.5b + 1.5p ≤ 8
Answer: The predicted difference in sleep is 1251437 minutes.
Step-by-step explanation:
Since we have given that
Number of years of education = 12 years
Number of minutes a week = 2000
As we have
In case of individual A:
7 days = 2000 minutes
1 year = 365 days = 
12 years = 
In case of individual B:
7 days = 3000 minutes
1 year = 365 days = 
16 years =
minutes
So, the predicted difference in sleep between individuals A and B is given by

Hence, the predicted difference in sleep is 1251437 minutes.