Answer:
13 and -14 satisfy this condition
Step-by-step explanation:
Let's represent that number as x
and the square of x is x^2
So,
x + x^2 = 182
Subtract 182 from both sides
x + x^2 - 182 = 182 - 182
x + x^2 - 182 = 0
rearrange the quadratic equation
x^2 + x -182 = 0
let's use the quadratic formula
or 
a = 1, b = 1, c = -182
or 
or 
or 
or 
or 
13 or - 14
Lets check
13 + 13^2 = 13 + 169
= 182
Also,
-14 + (-14^2) = -14 + 196
= 182
Answer:
-3y +12 = -48
-3y = -60
y = -60/-3
y = 20
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation
Here m is the slope of the line and b is the y-intercept.
m is found using the formula
Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula
Putting slope in general equation
Putting (-6,9) in the equation
Putting the value of b we get
Hence,
Equation of line in slope-intercept form is: y = -8x-39
Answer:
a) 
b) 
Step-by-step explanation:
Given that:
population mean 
= 30,000
sample size n = 800
population proportion p = 0.6
a)
The mean of the the sampling distribution is equal to the population proportion.
b)
The standard deviation of the sampling distribution can be estimated by using the formula:
