Answer:
The cost of soft pretzel is $1.25
Step-by-step explanation:
Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.
1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then
9x+5y=33.25.
2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then
4x+6y=19.50.
3. Solve the system of two equations:
![\left\{\begin{array}{l}9x+5y=33.25\\4x+6y=19.50\end{array}\right..](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7D9x%2B5y%3D33.25%5C%5C4x%2B6y%3D19.50%5Cend%7Barray%7D%5Cright..)
Multiplythe first equation by 4, the second equation by 9 and subtract them:
![4(9x+5y)-9(4x+6y)=4\cdot 33.25-9\cdot 19.50,\\ \\36x+20y-35x-54y=133-175.5,\\ \\-34y=-42.5,\\ \\y=\$1.25.](https://tex.z-dn.net/?f=4%289x%2B5y%29-9%284x%2B6y%29%3D4%5Ccdot%2033.25-9%5Ccdot%2019.50%2C%5C%5C%20%5C%5C36x%2B20y-35x-54y%3D133-175.5%2C%5C%5C%20%5C%5C-34y%3D-42.5%2C%5C%5C%20%5C%5Cy%3D%5C%241.25.)
Then
![4x+6\cdot 1.25=19.50,\\ \\4x=19.50-7.50,\\ \\4x=12,\\ \\x=\$3.](https://tex.z-dn.net/?f=4x%2B6%5Ccdot%201.25%3D19.50%2C%5C%5C%20%5C%5C4x%3D19.50-7.50%2C%5C%5C%20%5C%5C4x%3D12%2C%5C%5C%20%5C%5Cx%3D%5C%243.)
Answer:
the answer is 4 3/8
Step-by-step explanation:
decimal: 4.375
fraction: 4 3/8
The Answer is C, my good friend.
<h3>
Answer: -13</h3>
=======================================
Explanation:
g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)
g(1) = -4 means we have the point (1,-4)
Find the slope of the line through the two points (-3,2) and (1,-4)
m = (y2-y1)/(x2-x1)
m = (-4-2)/(1-(-3))
m = (-4-2)/(1+3)
m = -6/4
m = -3/2
m = -1.5
The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5
Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation: 2 = -1.5*(-3) + b
Let's solve for b
2 = -1.5*(-3)+b
2 = 4.5 + b
2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides
-2.5 = b
b = -2.5
Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5
The last step is to plug in x = 7 and compute
g(x) = -1.5*x - 2.5
g(7) = -1.5*7 - 2.5
g(7) = -10.5 - 2.5
g(7) = -13
Answer:
x ≤ 1/3
Step-by-step explanation: