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2 years ago

What is the simplified form of the expression? [6/7]^2

1 answer:

3 0

To find the simplified form of (6/7)^2, you have to break the bracket and square both the denominator and the numerator. (6/7)^2=6^2/7^2=36/49.

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X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

3 years ago

-c: infinitely many solutions, Help solve plss

trapecia [35]

I think it’s b cos u minus 43 and your left with 48x and 47x so divide by 47 and you get 1 point something x = to x so yeah probably none because no number will make that work so it’s b

7 0

3 years ago

One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?

alisha [4.7K]

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of $(x+y)^m$ is $31,824x^{18}y^{11}$ ...(i)

We know that that (r+1)th term in $(a+b)^n$ is given by :-

$T_{r+1}=^nC_ra^{n-r}b^r$ ...(ii)

On comparing (i) with (ii) , we get

$a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m$

i.e.

$m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29$

Hence, the value of m is 29.

7 0

2 years ago

3/2 x 7/8 = <br><br><br> Simplify if needed:

Svetach [21]

Answer:

3/2 x 7/8 = (3×7)/(2×8)=21/16

4 0

3 years ago

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Mari adds 4 spoonfuls of honey to a pitcher of iced tea.Each spoonful holds 5 mL of honey. How many mL of honey did Mari add in

Marina86 [1]

The answer is fir this question 20 ml

7 0

2 years ago

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