Mathematics, 05.11.2019 12:31, Benitez0212

Francisco and ryan are stuck simplifying radical expressions. francisco has simplified to the quantity of x to the one half power, over x to the three eighteenth power. ryan has simplified to the twenty seventh root of the quantity of x to the second times x to the third times x to the fourth. using full sentences, describe how to fully simplify francisco and ryan's expressions. describe if francisco and ryan started with equivalent expressions or if they started with expressions that are not equal.

Answers: 3

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Answers

Francisco has simplified to the quantity of x to the one half power, over x to the three eighteenth power.
(x^1/2) / (x^3/18)
x^(1/2-3/18)
x^1/3

Ryan has simplified to the twenty seventh root of the quantity of x to the second times x to the third times x to the fourth.
²⁷√x²x³x⁴
²⁷√x⁹
(x)^9/27
x^1/3

answered: Guest

Answer: choice c and choice d

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

Which functions have an additive rate of change of 3? check all that apply

answered: Guest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

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Francisco and ryan are stuck simplifying radical expressions. francisco has simplified to the quanti...