Answer:
(-4, 0) and (1, 0)
Step-by-step explanation:
"Solutions" in this case have the same numeric values as do "x-intercepts."
If x = -4 is a "solution" of this quadratic equation, then (-4, 0) is the corresponding x-intercept. Likewise, if x = 1 is a solution, then (1, 0) is the corresponding x-intercept.
9514 1404 393
Answer:
- New York style: $14
- Chocolate Marble: $16
Step-by-step explanation:
We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...
11n +7c = 266 . . . . . . . Rob's sale
4n +14c = 280 . . . . . . Amy's sale
The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...
(11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)
9n = 126 . . . . . . simplify
n = 14 . . . . . . . . divide by 9
Filling this into the first equation, we have ...
11(14) +7c = 266
7c = 112 . . . . . . . . subtract 154
c = 16 . . . . . . . divide by 7
One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.
We will represent everything in cents
nickles are worth 5 cents and dimes are 10 cents
n=number of nickles
d=number of dimes
60 total coins
n+d=60
total is 430 cents
5n+10d=430
divide both sides by 5
n+2d=86
we gots
n+d=60 and
n+2d=86
eliminate
multiply first equation by -1 and add to 2nd equation
-n-d=-60
<u>n+2d=86 +</u>
0n+1d=26
d=26
so
n+d=60
n+26=60
n=34
34 nickles and 26 dimes
