Answer:
216
according to 9*mean(24)
Step-by-step explanation:
Answer:
y=2x+1
Step-by-step explanation:
Y intercept is 1 and slope is 2/1
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
There are 9 cans of soup and 5 cans of frozen dinner.
The variables used for soup and frozen dinner are x and y respectively.
Step-by-step explanation:
Let,
Soup = x
Frozen Dinner = y
According to given statement of sodium;
300x + 500y = 5200 eqn 1
And,
x + y = 14 eqn 2
![Multiplying\ equation\ 2\ with\ 300\\300(x+y=14)\\300x+300y=4200\ Eqn 3\\](https://tex.z-dn.net/?f=Multiplying%5C%20equation%5C%202%5C%20with%5C%20300%5C%5C300%28x%2By%3D14%29%5C%5C300x%2B300y%3D4200%5C%20Eqn%203%5C%5C)
Subtracting Eqn 3 from Eqn 1;
![(300x+500y)-(300x+300y)=5200-4200\\300x+500y-300x-300y=1000\\200y=1000\\y=\frac{1000}{200} \\y=5](https://tex.z-dn.net/?f=%28300x%2B500y%29-%28300x%2B300y%29%3D5200-4200%5C%5C300x%2B500y-300x-300y%3D1000%5C%5C200y%3D1000%5C%5Cy%3D%5Cfrac%7B1000%7D%7B200%7D%20%5C%5Cy%3D5)
Putting value of y in Eqn 1;
![300x+500(5)=5200\\300x+2500=5200\\\\Subtracting\ 2500\ from\ both\ sides\ \\300x+2500-2500=5200-2500\\300x=2700\\x=\frac{2700}{300} \\x=9](https://tex.z-dn.net/?f=300x%2B500%285%29%3D5200%5C%5C300x%2B2500%3D5200%5C%5C%5C%5CSubtracting%5C%202500%5C%20from%5C%20both%5C%20sides%5C%20%5C%5C300x%2B2500-2500%3D5200-2500%5C%5C300x%3D2700%5C%5Cx%3D%5Cfrac%7B2700%7D%7B300%7D%20%5C%5Cx%3D9)
There are 9 cans of soup and 5 cans of frozen dinner.
The variables used for soup and frozen dinner are x and y respectively.
Keywords: Variables, linear equations, subtraction.
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