Simplify by adding like terms 5w+4wx+3+wx+3w+3+6w please show work?

2 answers:

7 0

Just add your like terms! variable = variable such as w = w means you can add it.

5w + 4wx + 3 + wx + 3w + 3 + 6w

All these signs are positive, so it won't be hard to simplify.

3 + 3 are like terms, 3+3=6.

Coefficients with w are like terms! 5w + 3w + 6w = 14w.

Somewhat tricky: 4wx + wx. This means we have now 5wx.

14w + 5wx + 6 is the simplest form without having the amounts of each variable :).

melamori03 [73]3 years ago

5 0

This is simple, just combine all the numbers that only have w, then combine all the number that have wx.

5w + 3w + 6w = 14w 4wx + wx = 5wx 3 + 3 = 6

So your answer is: 14w + 5wx + 6

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What equation results when you cross-multiply 17/d = 51/21

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Answer:

357 = 51d

Step-by-step explanation:

17/d = 51/21

Using cross products

17*21 = 51*d

357 = 51d

solving

357/51 = 51d/51

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4 0

4 years ago

A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

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Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.