Answer:
c) Length = 12, width = 8 and height = 23.
Step-by-step explanation:
Let the length be x, then the width = x - 4 and the height = 2x - 1.
a) The polynomial is x(x - 4)(2x - 1)
b) x(x - 4)(2x - 1) = 2208
c) x(x - 4)(2x - 1) - 2280 = 0
2x^3 - 9x^2 + 4x - 2280 = 0
I'll use graphical software to find a solution for this. Its easily obtained online.
There is one real root and its x = 12.
So the dimensions of the box are L = 12, W = 8 and H = 23 inches.
Answer:
<h3>y - 3 = 2(x+1)</h3>
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Get the slope;
Given the points (-1,3) and (1, 7)
m = y2-y1/x2-x1
m = 7-3/1+1
m = 4/2
m = 2
Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;
y - y0 = m(x-x0)
y - 3 = 2(x-(-1))
y - 3 = 2(x+1)
Hence the required equation is y - 3 = 2(x+1)
Answer:
12
Step-by-step explanation:
There are 4 different digits to choose from. Since we want 2-digit number, we will see what digits can we put in place of 1st digit and what digit can we place in place of 2nd digit.
Hence, <u><em>how many digits (from 1,5,6 and 8) can be placed in the 1st digit of the number we want?</em></u>
Any one of the four digits (1,5,6, or 8).
Now, <em><u>How many digits (from 1,5,6 and 8) can be placed as the 2nd digit of the number we want?</u></em>
Any one of the THREE digits (since repetition is not allowed, we disregard the initial digit).
Thus the number of two-digit positive integers is 4 * 3 = 12
Answer:
x = -12
Step-by-step explanation:
Let's solve your equation step-by-step.
8+x=−4
Step 1: Simplify both sides of the equation.
x+8=−4
Step 2: Subtract 8 from both sides.
x+8−8=−4−8
x=−12
Answer:
Step-by-step explanation:
We need to compare √8 and 4
<em>To compare the numbers they should both be in the same format</em>
<u>√8 is not a perfect square so we'll put number 4 under root</u>
<u>Now we compare</u>
So √8 is less than 4
