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natali 33 [55]
4 years ago
6

20 POINTS PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve the equation. Check for extraneous solutions.

9∣9-8x∣ = 2x+3
Mathematics
1 answer:
pantera1 [17]4 years ago
7 0

Answer:

39/37 and 6/5

Step-by-step explanation:

To start, let's assume that 9-8x is positive (we will do this to get rid of the absolute value, but then check later). We get 9(9 - 8x) = 2x + 3, or 81 - 72x = 2x + 3, so 74x = 78 and x = 39/37. If we assume 9-8x is negative, the |9-8x| will turn into 8x-9, so we get 9(8x - 9) = 2x + 3, or 72x - 81 = 2x + 3 , so 70x = 84 and x = 6/5. If we plug the values back in, 9-8(39/37) needs to be positive, which works, and 9-8(6/5) needs to be negative, and this works, so the answers are 39/37 and 6/5.

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The equation of the graphed line in point-slope form and it’s equation in slope-intercept form is (-2,3)(3,0)
Murljashka [212]

Answer:

y = -9/5x + 9/5

Step-by-step explanation:

From this points, we can determine the slope and the y-intercept.

First, we do:   y/x  -  y1/x1

=> 0/3 - (3 - 2)

=> 0-3/ 3 + 2

=> -3/5

So the slope of the equation is -3/5.

The equation is: y = mx + b

In this equation "m" = slope.

=>  b = constant

Now we take the x and y points from the above numbers.

=> Let's take 3 as x and 0 as y.

=> 0 = -3/5 *3 + b

=> 0 = -9/5 + b

=> Take the -9/5 to the other side

=> 9/5 = b

So, the constant number which is not multiplied by the x is 9/5

Now, our equation looks like:

y = -9/5x + 9/5

If you have any doubts about this question, ask me the comments and I will answer it as soon as possible.

8 0
3 years ago
Somebody once told me the world is gonna roll me
nikdorinn [45]

Answer:

same

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The science club went on a two day field trip. The first day the members paid $60 for Transportation plus $15 per ticket to the
DaniilM [7]
T= Total cost
m= # of members

Total equals $60 fee plus ($15 times # of members) plus $95 fee plus ($12 times # of members)

T= $60 + $15m + $95 + $12m
combine like terms

EXPRESSION:
T= $27m + $155

Hope this helps! :)
5 0
3 years ago
Find the length of the diameter of a sphere with a volume of 523.6 km^3.
nika2105 [10]
10 km
First step: Divide 523.6 by 4/3
Second step: You'll get 392.7 from step one and you'll divide that by Pi.
Third step: you take the cube root of the number that you get from the second step and you'll get 125.
And you end up with 5 km, but it's the diameter so you must multiply by 2
Final answer: 10 km
7 0
4 years ago
From 1999 to 2008, the United States Mint
tensa zangetsu [6.8K]

Answer:

a. \frac{2}{13}

b. \frac{3}{13}

c. See the step-by-step explanation.

Step-by-step explanation:

A table given by OP

State Year

Tennessee 2002

Tennessee 2002

Ohio 2002

Alabama 2003

Maine 2003

Florida 2004

Florida 2004

Florida 2004

Texas 2004

Texas 2004

California 2005

California 2005

Kansas 2005

a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is \frac{2}{13}.

b. Analagously, the probability is  \frac{3}{13}, because there are 3 quarters minted in 2002.

c. See a and b.

4 0
3 years ago
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