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emmasim [6.3K]
3 years ago
12

How many solutions does the equation have?

Mathematics
2 answers:
timurjin [86]3 years ago
7 0
4(2x+3)=2(3x-4)\\
8x+12=6x-8\\
2x=-20\\
x=-10 \Rightarrow A
creativ13 [48]3 years ago
6 0
A. One Solution.
If you distribute the 4 and 2 you're left with
8x+12=6x-8
+8 to both sides
8x+20=6x
-8x both sides
20=-2x
Divide by -2
X=-10
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Hi, can someone please give me a detailed explanation on how to solve this problem?
Dovator [93]

Answer:

Step-by-step explanation:

log3^(2x+3) = log243

(2x+3)log3 = log243

2x+3 = log243/log3

2x = (log243/log3)-3

x = [(log243/log3)-3]/2

x = (5-3)/2

x = 2/2

x = 1

Check:

3^2(1)+3 = 243

3^2+3 = 243

3^5 = 243

3×3×3×3×3 = 243

9×9×3 = 243

81×3 = 243

243 = 243

5 0
3 years ago
If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles.
denis23 [38]

In the above word problem, If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles, Quarter 8-inch tiles will cover the same area as one 2-inches.

<h3>What is the justification for the above?</h3>

Note that the area of the one 2-inch tiles is given as:

A1 = 4in²

The area of the quarter 8-inch tiles is:

A2 = 1/4 x 8 x 8

A2 = 16inch²

Divide both areas

A2/A1= 16/4

= 4

This implies she'll need four 2-inch tiles to cover the same amount of space as a quarter 8-inch tile.

Learn more about word problems:
brainly.com/question/13818690
#SPJ4

Full Question:

A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4 inches, and 2 inches. State if you agree with each statement about the tiles. Explain your reasoning.

If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles,

8 0
1 year ago
Anthony buys one pound of oranges for $12 and sells it for $14. How can he write the profit in his account book?
Aleonysh [2.5K]
The answer would be, A) +$2 because he spend $12 but earned $14 so when you subtract 14 and 12 you get $2, which would be his profit
5 0
3 years ago
Evaluate log4 64.<br> A) 8<br> B) 3<br> C)1/2<br> D)2
barxatty [35]
Its B. Huhu you can press the calculator and get the answer:>

5 0
3 years ago
Please help me ASAP
stellarik [79]

Answer:

<em>The Graph is shown below</em>

Step-by-step explanation:

<u>The Graph of a Function</u>

Given the function:

\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24

Point (-2,-24)

\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6

Point (0,-6)

\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0

Point (2,0)

\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6

Point (4,-6)

\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24

Point (6,-24)

The graph is shown in the image below

8 0
3 years ago
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