Answer:
- It is a function
- Domain: {-4, -2, 1, 5}
- Range: {-9, -7, -4, 5}
Step-by-step explanation:
A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).
Answer:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Step-by-step explanation:
Answer:
Shirt-$19
Cap-$24
Step-by-step explanation:
5s+1c=119
1s+1c=43
1c=43-1s
substitute:
5s+(43-1s)=119
5s+43-1s=119
4s=119-43
4s=76
1s=19
substitute:
1c=43-(19)
1c=24
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
(50-25)/2
25/2
12.5
25+12.5=37.5
