My family went out to dinner. Our bill came to $115. We want to tip the waiter 20%. What is the total amount we should pay just
1 answer:
You might be interested in
Answer:
(3x+2)(2x-5)(x³ -9)
Step-by-step explanation:
I like to use a graphing calculator to assist with factoring higher-degree polynomials. This polynomial has roots at -2/3, +5/2, and an irrational number near 2.08. The factors corresponding to the rational roots are (3x +2) and (2x -5).
Polynomial long division or synthetic division can be used to divide these out.
In each case, the divisor has a coefficient other than 1, so both dividend and divisor polynomials need to be divided by that coefficient before proceeding with synthetic division. (That is why there are fractions in the tableaux.)
The result is that the factorization in integers is ...
_____
The irrational roots are the three cube roots of 9, two of which are complex.
_____
Any of several different algorithms can tell you that the real roots will lie in the interval [-6, 6] or smaller. The rational roots will be of the form ...
±(divisor of 90)/(divisor of 6)
1 inch on the drawing represents 11 feet in the labyrinth middle school.
Step-by-step explanation:
Step 1:
The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.
So 33 inches on the drawing is equal to 363 feet in the labyrinth school.
Step 2:
To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling
The scale factor
So the scale factor is . This means that 1 inch on the drawing is 11 feet in the actual school.