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Papessa [141]
3 years ago
7

Which of the following is the equation a^(2b+1)=3c-d

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0
The first one is the answer :)
AlexFokin [52]3 years ago
3 0

Answer:

Option 1 - \log_a (3c-d)=2b+1

Step-by-step explanation:

Given : Equation a^{2b+1}=3c-d

To find : Which of the following is the equation ?

Solution :

Equation a^{2b+1}=3c-d

Taking log both side,

\log (a^{2b+1})=\log (3c-d)

Apply logarithmic property, \log a^x=x\log a

(2b+1)\log (a)=\log (3c-d)

(2b+1)=\frac{\log (3c-d)}{\log a}

Apply change the base rule, \frac{\log _a x}{\log _a y}=\log_y x

(2b+1)=\log_a (3c-d)

So, the required equation is \log_a (3c-d)=2b+1

Therefore, option 1 is correct.

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Casey and Stephanie are planning a birthday party. They order a rectangular sheet cake that measures 24 inches by 18 inches. All
tigry1 [53]

Answer:

<h3>6 inches</h3>

Step-by-step explanation:

If Casey and Stephanie order a rectangular cake of dimension 24in by 18in, to get the side length of the largest piece of square, we will find the greatest common factor of both dimension as shown:

24 = 2 * 2 * (2 * 3)

24 =  (2 * 3) * 4

24 = 6*4

18 = (2*3)*3

18 = 6*3

From both factors you an see that the common GCF is 6. This shows that the length of the largest square pieces into which Casey and Stephanie can cut the cake is 6 inches.

8 0
3 years ago
Which expression is equivalent to 2^4 ⋅ 2^−7?
IRISSAK [1]

the answer for this is:

subtract 7 from 4 to get -3

 you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)


4 0
3 years ago
Read 2 more answers
Graph the equation <br><br>2x + 3y = 9
jeka57 [31]

2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3

Look at the graph picture I attached

y = mx + c

c is the intercept, which is why the graph crosses the y-axis at +3

to find where it crosses the x-axis, we make y = 0

y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)

8 0
2 years ago
Help with math algebra question in the picture
VashaNatasha [74]

Answer:

-_-_-_-_-_-a_-_-_-_-

3 0
3 years ago
Trina has two brothers. one brother is 7 years older than trina and the other brother is 7 years younger than trina. the product
AlladinOne [14]
(a) 95 = (x+7)*(x-7)

(b) 95 = (x+7)*(x-7) 
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95 
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
     
7 0
3 years ago
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