Answer:
A=False
B=True
C=True
Step-by-step explanation:
PEMDAS
multiply 2 in the parentheses:
6x + 10 - 16 + 2
Combine like terms:
6x -4
~
In the given formula :
r = rate = 4.5% = 0.045
t = time = 7 years
P = principal = #3,700
e is an arbitrary number used in mathematics, which is approximately 2.7183
Replace the letters with the given information:
A = 3700e^0.045(7)
A = $5,069.96
The answer is C
Answer:
(0,4)
(2,2)
Step-by-step explanation:
y=x^2-3x+4
x+y=4
the second one can be rewritten as y=4-x
so the system becomes
y=x^2-3x+4
y=4-x
therefore 4-x = x^2-3x+4
that is x^2-2x=0
we can write it as x(x-2)=0 a product is = 0 when one of its factors = 0
so the solutions for x are: x=0 and x-2= 0 that means x=2
to get y you simply use 0 and 2 as value of x for any of the two equations
and you get y=4 and y=2 respectively
Answer:
Mary bought 9 Golden Delicious apples
Step-by-step explanation:
This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.
![.75d+1.25g=21.00\\d+g=22](https://tex.z-dn.net/?f=.75d%2B1.25g%3D21.00%5C%5Cd%2Bg%3D22)
I prefer to solve using substitution, but elimination can be used as well
![.75d+1.25g=21.00\\g=22-d](https://tex.z-dn.net/?f=.75d%2B1.25g%3D21.00%5C%5Cg%3D22-d)
We can now plug in this g value to the first equation
![.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13](https://tex.z-dn.net/?f=.75d%20%2B%201.25%20%2822-d%29%3D21.00%5C%5C.75d%20%2B%2027.5-1.25d%3D21%5C%5C27.5-0.5d%3D21%5C%5C-.5d%3D-6.5%5C%5Cd%3D13)
This means mary bought 13 delicious apples. She bought 22 apples in total, so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.
22 - 13 = g
9 = g
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