Answer: y = (1/2)x + 40
Explanation: use the formula ‘y=mx+b’
M is the slope, which is rise(or fall)/run. In this case it falls 1 and runs 2 so m=1/2
B is where the line intersects the y-axis so in this case it is 40
Put together it is y = (1/2)x + 40
It could exist at either 15 or at -25. Both of these numbers are 20 away and distance is often measured in absolute terms.
Short answer 48 cookies
Remark
This is an extremely valuable question if you are going to take chemistry at some point. You have to calculate all three to see what the limiting ingredient is.
Flour
Assuming that all of the flour will be used, you set up a proportion to find out how many cookies will be produced.
1.5 cups of flour / 15 cookies = 5 cups of flour / x Cross multiply
1.5 x = 15 * 5
1.5 x = 75 Divide by 1.5
x = 75/1.5
x = 50 cookies are possible
Sugar
Now you must do the same thing with the sugar
1.25 pounds sugar/15 cookies = 4 / x Cross multiply
1.25 x = 4 * 15
1.25 x = 60 Divide both sides by 1.25
x = 60/1.25
x = 48 cookies possible with 4 pounds of sugar.
Butter
0.5 pounds of butter/15 cookies = 1.75 pounds of butter /x Cross Multiply
0.5 * x = 15 * 1.75
0.5 * x = 26.25 Divide by 0.5
x = 26.25 / 0.5
x = 52.5 Cookies.
Conclusion
The limiting ingredient is the sugar. You can only make 48 cookies with that amount of sugar.
So you will have left over flower. You will have left over butter (even if you round down). But you will use all your sugar. It is the least amount.
F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1
The domain of (f/g)(x) is all real numbers except 1.
_____
The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
When we divide by (x-2) we will get the quotient be and remainder be 39.
Given two expressions be and (x-2).
We are required to divide the first expression by second expression.
Division means distributing parts of something. The number which is being divided is known as quotient.Divisor is a number which divides the number.
Expressions refers to the combination of numbers, fractions, coefficients, determinants, indeterminants. It expresses some relationship or show equation of line.
We know that relationship between quotient, divisor, divident and remainder is as under:
Dividend=Divisor*Quotient+Remainder
=(x-2)*()+39
Quotient=
Remainder=39
Hence when we divide by (x-2) we will get the quotient be and remainder be 39.
Learn more about division at brainly.com/question/25289437
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