Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
The perimeter is 24 inches squared
Answer:
y = 4
Step-by-step explanation:
I assume you want to find the slope-intercept form of the given information.
We are given the slope and a point, so we can find the y-intercept.
y = 0x + b
4 = 0(-2) + b
4 = 0 + b
4 = b
Put everything we know/solved for back into the formula [ y = mx + b ]
y = 4
Best of Luck!
Answer:
Step-by-step explanation:
so you want to know the formula for the volume of a cylinder
volume (cylinder) = area of the circular base * height
2279.64 = area of a circle + height
area of a circle is 

they tell us the radius is 11 feet so r = 11
circle = 
= 38013271
2279.64 = 38013271 * height
2279.64 / 38013271 = height
5.996958 = height in feet
Answer:
130 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual distance = 31/4 x 40
convert 31/4 to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
13/4 x 40 = 130 miles