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gavmur [86]
2 years ago
7

The table shows the solution to the equation |2x − 5| − 2 = 3:

Mathematics
1 answer:
Reil [10]2 years ago
5 0
First add 2 to both sides, next add 2 + 3 to get 5, next break down the equation into two problems which would be 2x - 5 = 5 and -(2x - 5) = 5, NOT 2x - 5 = -5, so this is the FIRST incorrect step, while step 4 is incorrect because its suppose to be 2x = 5 not 10, that's the second step, not first so answer is:

Answer: A) Step 3.
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The director of a marching band asks the band members to line up in rows of four, but one is left over. Then she tries to line t
Hatshy [7]
There are 81 band members.  :-)

4 rows of 20 = 80 ... with one left over   = 80 + 1  (81)
6 rows of 13 = 78 ... with three left over = 78 + 3  (81)
7 rows of 11 = 77 ... with four left over   = 77 + 4  (81)
5 0
2 years ago
Read 2 more answers
Please help!! I need to get this done! Im begging you, brainliest and points!
Viefleur [7K]

Answer:

<em>Solution; ( 1, 0 ), and ( - 3, 4 )</em>

Step-by-step explanation:

See procedure below;

First let us make these two functions ( y = -x + 1 , y = x^2 + x - 2 ) equivalent;

- x + 1  = x^2 + x - 2,

-x - x + 1 + 2 - x^2 = 0,

- 2x + 3 - x^2 = 0,

x^2 + 2x - 3 = 0,

Now factor the simplified equation;

x^2 + 2x - 3 = 0,

( x^2 - x ) + ( 3x - 3 ) = 0,

x ( x - 1 ) + 3 ( x - 1 ) = 0,

( x - 1 )( x + 3 ) = 0,

And solve for x;

x - 1 = 0, and x + 3 = 0,

x = 1, and x = - 3

Now substitute this value of x into the two functions as to receive the y  values for each x - value;

y = - ( 1 ) + 1, <em>y = 0 for x = 1</em>,

y = ( - 3 )^2 - 3 - 2, y = 9 - 3 - 2, <em>y = 4 for x = - 3</em>,

<em>Solution; ( 1, 0 ), and ( - 3, 4 )</em>

8 0
2 years ago
Find the inverse of y=x2-10x
anzhelika [568]
<span>this is pretty hard but here is your answer 
</span>

y = x^2 - 10x + 25 - 25

<span> y = (x-5)^2 - 25 </span>

<span> y+25 = (x-5)^2 </span>

<span> x-5 = +/-sqrt(y+25) </span>

 

<span> And you get TWO inverses: </span>

 

<span> x = 5 + sqrt(y+25), for x>=5 </span>

<span> x = 5 - sqrt(y+25), for x<=5</span>


5 0
2 years ago
Read 2 more answers
At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
2 years ago
Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Li's suitcase without
myrzilka [38]

Answer:

x is less-than-or-equal-to 2.25 (x ≤ 2.25)

Step-by-step explanation:

We can write down the inequality that represents the weight Li can add without going over the 50 pound limit:

47.75 + x ≤ 50

If we solve for x we have:

47.75 + x ≤ 50

x ≤ 50 - 47.75

x ≤ 2.25

Therefore, the weight Li can add to the suitcase is less-than-or-equal-to 2.25

6 0
2 years ago
Read 2 more answers
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