Rename each additive inverse without parentheses <br> -(2x+7)

Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon

Nadusha1986 [10]

Answer:

Sadie's error is " she made error in step 2 $=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$ where $a\geqslant 0$ "

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

Step-by-step explanation:

Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "

It can be written as $\sqrt{54a^7b^3}$ where $a\geqslant 0$

The given expression is $\sqrt{54a^7b^3}$ where $a\geqslant 0$

To find Sadie's error and explain the correct answer :

Sadie's steps are

$\sqrt{54a^7b^3}$ where $a\geqslant 0$

$=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$

$=3ab\sqrt{6a^5b}$

<h3> $\sqrt{54a^7b^3}=3ab\sqrt{6a^5b}$ where $a\geqslant 0$ </h3><h3><u>Now corrected steps are</u></h3>

$\sqrt{54a^7b^3}$ where $a≥0$

$=\sqrt{(9\times 6)(a^{6+1})(b^{2+1})$

$=\sqrt{(3^2\times 6)(a^6.a^1)(b^2.b^1)$ (by using the identity $a^{m+n}=a^m.a^n$

$=\sqrt{3^2\times 6\times ((a^3)^2.a)(b^2.b)$ (by using the identity $a^{mn}=(a^m)^n$ )

$=3ab\sqrt{6ab}$

Therefore $\sqrt{54a^7b^3}=3ab\sqrt{6ab}$ where $a\geqslant 0$

<h3>The correct answer is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

Sadie's error is " she made error in step 2 $=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}$ " where $a\geqslant 0$

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is $3ab\sqrt{6ab}$ where $a\geqslant 0$ </h3>

5 0

3 years ago

Read 2 more answers

The graph at the right described the money two clubs are earning from fundraising. In how many weeks will the two clubs have the

pickupchik [31]

Answer:

52 weeks

Step-by-step explanation:

The club starting with $270 (club 1) is increasing their bank balance each week by ...

... $280 -270 = $10

The club starting with $10 (club 2) is increasing their bank balance each week by ...

... $25 -10 = $15

Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...

... $260/($5/week) = 52 weeks

_____

The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.

7 0

3 years ago

Twenty-four hundredth in decimal notation

Illusion [34]

Answer:

0.24

Step-by-step explanation:

Twenty-four hundredths = 24/100 = 24×(1/100) = 24×0.01 = 0.24

_____

Both 24/100 and 0.24 are pronounced "twenty-four hundredths."

5 0

3 years ago

Read 2 more answers

Help.How?brainliest and 10p

Alborosie

y-17.8 =-24.5

add 17.8 to each side

y = -24.5+17.8

y=-6.7

Choice B

4 0

4 years ago

Read 2 more answers

(-2,1) & (1,-1) the equation of the line is

Aleonysh [2.5K]

Answer:

y = (-2/3)x - 1/3

Step-by-step explanation:

Find the equation of the line through the two points (-2, 1) and (1, -1).

As we increase x from -2 to 1 (an increase of 3), y decreases from 1 to -1 (a decrease of 2).

Thus, the slope of this line is m = rise / run = -2/3.

Using the slope-intercept formula y = mx + b, and substituting the givens m = -2/3, x = -2 and y = 1, we get:

1 = (-2/3)(-2) + b, or

1 = 4/3 + b, or 3/3 = 4/3 + b.

Then b must be 3/3 - 4/3, or -1/3, and the equation of the line is then

y = (-2/3)x - 1/3

7 0

3 years ago

Rename each additive inverse without parentheses -(2x+7)