19x2-9x2= 10x2
16x-13x= 3x
45-23= 22
(10x2+3x+22)
Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7
[tex}r - 5 \frac{5}6 + 5\frac{5}6 = 10 +5\frac{5}6{/tex]
Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
Answer:
y= -8x + 150
x = -0.125y + 18.75
Step-by-step explanation:
<u>y explanation:</u>
16x+2y=300
Add -16x to both sides: 16x+2y+(-)16x = 300 + (-)16x - this becomes:
2y = -16x+300
Now divide both sides by 2: 2y/2 = (-16x+300)/2 - this becomes:
-8x + 150
So...y= -8x+150
<u>x explanation:</u>
16x+2y = 300
Add -2y to both sides: 16x+2y+(-)2y = 300+(-)2y - this becomes:
16x = -2y+300
Now divide both sides by 16: 16x/16 = (-2y+300)/16 - this becomes:
-1/8y + 75/4...you can simplify this to: -0.125y + 18.75
So...x = -0.125y + 18.75
I hope this helps :)
