The equations we work with are f(x)=4x-3 and g(x)=x³-x²-4x+4. The intersections of these functions occur at f(x)=g(x). Using graphing technology, the figures are displayed in the attached image; the solutions to the equations are approximate values: x=-2.781, which rounds to -2.8, x=0.862 rounds to about 0.9, and x=2.919 rounds to 2.9.
The solution:
From the image, <span>the length of segment GF can be calculated as
</span>GF = GC + CF
CF represents the radius, therefore CF = 7.5
To determine GC, we can utilize the Pythagorean theorem on triangle GEC
It calculates to
GC² = GE² + EC² = 10² + 7.5² = 156.25, leading to GC = sqrt(156.25) = 12.5
Therefore, GF = GC + CF = 12.5 + 7.5 = 20
Consequently, the total length is <span>20.0 units</span>
The yearly sales total for mattresses equals 1,330.
The percentage of King size mattresses sold is 30% = 30/100 = 0.3
Now, we need to find the actual sales number using the following formula:
King size mattresses sold = Total mattresses sold in a year * Percentage of King size mattresses sold
King size mattresses sold = 1,330 * 0.3 = 399
King size mattresses sold = 399
The formula to convert Fahrenheit to Celsius is:
Celsius = (Fahrenheit - 32) x 5/9
C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5
Hence, 76.1°F is equal to 24.5°C.
Let A represent the number of individuals without jobs.
<span>168,000,000 accounts for 94% of the population in Apexico.
</span>Calculating, 168,000,000/94=<span>1,787,234, which corresponds to 1% of the total population.
</span>Thus, 1,787,234 multiplied by 6 equals <span>10,723,404 individuals are unemployed in Apexico</span>
