Answer:
y=6.2 and x=0.4 or (0.4,6.2)
Step-by-step explanation:
Since both expressions are equal to y, we can set them equal to each other and solve for x:
3x+5=8x+3
5=5x+3
2=5x
2/5=x
0.4=x
Now to solve y:
y=8(2/5)+3
y=16/5+3
y=3.2+3
y=6.2
Check answers:
6.2=3(0.4)+5
6.2=1.2+5
6.2=6.2
6.2=8(0.4)+3
6.2=3.2+3
6.2=6.2
Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair
20% off means it is selling for 80% of the original price ( 100% - 20% =80%)
Divide the sale price by 80% as a decimal:
380/0.80 = 475
The original price was $475
Justify:
Multiply the original price by 20% and subtract:
475 x 0.20 = 95
475-95 = $380 which is the sale price.
Answer:8
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
First: Recognize that (f o g)(x) is the "composition" of two functions, where g(x) serves as the input to f(x). We are given f(x) = 2x+3 and g(x) = x+5. You could find g(3) right now: it is g(3) = 3+5 = 8. Use this 8 as the input to f(x): f(8) = 2(8)+3 = 19.
Step-by-step explanation:
You find the complex conjugate simply by changing the sign of the imaginary part of the complex number.
the answer is
9+3i