Answer:
The system if equation that can be used to derive this are
6x + 4y = 69 AND
12x + y = 96
The price of a drink is $7.5
Step-by-step explanation:
The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .
Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y
The first person made a purchase which led to the equation
6x + 4y = 69______ equation 1
And the second person also made a purchase that lead to the equation
12x + y = 96_____ equation 2
We make y the subject of the formula in equation 2 and apply it in 1
Y = 96 - 12x
Now apply the above in equation 1
6x + 4y = 69
6x + 4(96 - 12x)= 69
6x + 384 - 48x = 69
42x = 384 - 69
X = 315/42
X = 7.5
Substitute x= 7.5 in equation 2
12x + y = 96
12(7.5) + y = 96
90 + y = 96
Y = 6
Therefore, the price of a drink is $7.5
<span>A.
Both functions have the same y-intercept.</span> TRUE
<span>B.
f(x) has a negative slope while g(x) has a positive slope.</span> Tricky question. Yes, f(x) has the negative slope m = -2. However, g(x), being a curve, does not have a single slope; rather, it has a varying slope that increases (becomes less negative) as x increases. Some people might argue that this statement is TRUE, while others would argue that it's FALSE, because the 2nd function does not have just one single value for the slope.
<span>C.
Both functions are linear functions.</span> ABSOLUTELY NOT. The first one is linear; the second is a "decaying exponential" whose graph is a curve.
D. <span>
g(x) has a common ratio of 4. Yes and no. I'd say the common ratio is (1/4), because each y value is (1/4) of the previous y value
</span>
Answer:
B) 50º
Step-by-step explanation:
first we need to find angle MPL. to do this we do 180 - 70 - 60 = 50º. angle KPN is the smae as angle MPL. so angle KPN is 50º.
Answer:
x = 44 and y = 4
Step-by-step explanation:
Given:
x - y = 40
2x + 3y = 100
Isolate for x in the first equation:
x = 40 + y
Sub x = 40 + y into the second equation and solve for y:
2(40 + y) + 3y = 100
80 + 2y + 3y = 100
5y = 20
y = 4
Sub y = 4 into the equation for x:
x = 40 + 4
x = 44
Therefore, x = 44 and y = 4
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