Answer:
To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation
1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation
After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, 
for equations of the type 0 = a·x² - b·x + c.
When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.
Step-by-step explanation:
Answer: Macy's pre-tax shirt price is $5.63
Step-by-step explanation:
Details:
Original cost = 20
sale price drops by 25% every month it remains unsold.
First markdown month:
20 * (100%-25%) = 20 * 75% = 15
Second markdown month:
15 * 75% = 11.25
Macy, being an employee, enjoys a 50% discount on the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or rounded to 5.63
Hope this helps!:)
For one day:
= £9.20 × 7
= £64.40
For six days:
£64.40 × 6 = £386.40
After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276
To purchase a car worth £1932:
£1932/£276 = 7
Thus, he needs 7 weeks to save enough for the car priced at £1932.
Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7;
we are tasked with calculating f(g(x))
This represents a composite function where we substitute g(x) into f(x)
Consequently, we find
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
We understand that
1 foot corresponds to 12 inches.
Step 1
Dimensions of the plywood needed are
(12+3+3) x (18+3+3)------> 18 inches x 24 inches.
Step 2
Convert inches into feet:
18 in-------> 18/12=1.5 ft.
24 in------> 24/12=2 ft.
Step 3
To calculate the area of plywood needed:
A=b*h------> 1.5*2------> A=3 ft².
The final result is
3 ft²
