Answer:
An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.
The number of hours Lourdes will have to jog is 0.4 hours
From the given parameters:
Lourdes plans to jog for at least a distance of 1.5 miles
If Lourdes can jog averagely at the speed of 3.75 mph
Then,
the inequality that can represent the information can be written as:
= 1.5 miles ≤ 3.75 (x) miles/hour
Solving the inequality;
= 1.5 ≤ 3.75 (x)
Making (x) the subject of the formula, we have:
x = 0.4 hours
Therefore, we can conclude that the number of hours lourdes will have to jog is 0.4 hours
Step-by-step explanation:
The scale factor is x2 or 100. 2 times 2 is 4 and n
Answer:
-12
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Answer: D. Increase the sample size to 64.
Step-by-step explanation:
Answer:
Given the functions:
and 
Now, calculate first
;

Substitute the given values we have;

Combine like terms;

Let y = 
Then, we have y = 5x+5
Now, Graph the equation of the line y =5x +5
Using slope intercept form: An equation of line is given by :
y = mx +b ; where m is the slope of the line and b is the y-intercept.
On comparing we get;
m = 5 (Since, slope is positive which means a line moves upward on a graph from left to right)
Now, find the intercepts of the equation: y=5x+5;
x-intercepts: The graph or line crosses the x-axis i.,e
Substitute y = 0 and solve for x;
0 = 5x +5
Subtract 5 on both sides we get;
-5 = 5x
Divide both sides by 5 we get;
x = -1
x-intercepts= = (-1, 0)
Similarly for y-intercept:
Substitute the value of x= 0 and solve for y;
y = 5(0)+5
y = 5
y-intercepts = (0, 5)
Now, using these point we can draw a graph of function
as shown below in the attachment.