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slavikrds [6]
3 years ago
10

Choose the correct expressions using the fewest number of bases possible that are equivalent to the current expression. Select A

ll that apply. (Note: There are 2 correct choices) Question 4 options: 23−13 210 213−3 2−10

Mathematics
1 answer:
rjkz [21]3 years ago
6 0
<h3>2 Answers: Choice B, Choice C</h3>

The rule we use here is \frac{a^b}{a^c} = a^{b-c}

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.

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EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

6 0
3 years ago
Solve log (x + 1) = –x2 + 10 by graphing
Anit [1.1K]
 Your answer would be x = 3.0645

CHECK
log (3.0645 + 1) ?=? -(3.0645)2 + 10
log 4.0645 ?=? -9.3912 + 10
0.609 ?=? 0.609

Hope this helps!

So in short your answer is x = 3.0645
3 0
3 years ago
Read 2 more answers
a rectangular laboratory has a length equal to one and a half times its width and a perimeter of 40m. find its length and width
tresset_1 [31]
L=1.5w
P=l+w
40=2.5 w
W=16
L=1.5(16) =24

Length is 24
Width is 16
8 0
2 years ago
Read 2 more answers
What is the length of the side of a right triangle that has a side length of 20 mm and a hypotenuse of 25 mm?
Marta_Voda [28]
I don't know but I think it is C
6 0
3 years ago
The line plot shows the number of different colors that art students used in a colored-pencil sketch. How many art students used
Blababa [14]

Where is the line plot?

4 0
3 years ago
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