With the information given, we deduce that the parabola is
Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes
And to shift down a function, you subtract the shift from the equation: the equation becomes
Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):
In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have
For the other function, we have
Answer:
y= 6
Step-by-step explanation:
1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2
2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12
-14 -14
3. Subtract 3y from both sides: y=3y-12-> y-3y= -12
-3y -3y
4. Combine like terms: y-3y= -12-> -2y= -12
1-3 keep the y
5. Divide both sides by -2: -2y= -12-> y= 6
/2 /2
6. So, you're left with y= 6
Let x be equal to the number of drinks Yasmine consumed.
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15
Answer:
56.25%
Step-by-step explanation:
800 - 350 = 450
1% of 800 = 8 (800 divided by 100)
450 divided by 8 = 56.25
