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DaniilM [7]
3 years ago
13

What is the equivalent of -3 (x+2)+(x-3)x

Mathematics
2 answers:
Andru [333]3 years ago
8 0
(-3x-6) + (x²-3x)
The expression you posted just had it simplified
Murrr4er [49]3 years ago
4 0
-3 (x+2) + (x-3)x

First, we have to simplify the equation.

-3x - 6 + x² - 3x

Add your like terms.

x² + (-3x - 3x) - 6

Simplify.

x² - 6x - 6  ← That is your simplified version of the original equation, which is also equivalent to the original equation.

Now, to find another equivalent equation, you would multiply your simplified version with (2).

2(x² - 6x - 6)

2x² - 12x - 12 and x² - 6x - 6 are BOTH equivalent to your original equation.

~Hope I helped!~


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What is 1/4 of 3/5 of customers
shepuryov [24]
The answer is 7/20. 1/4= 5/20 and 3/5 = 12/20 What I did was find the GCF (greatest common factor) of both 4 and 5 which was 20. Then I multiplied both numerators by the same number I multiplied the denominator with. Afterwards I subtracted both numerators (12-5) and this equals to 7 Hope that helps
8 0
3 years ago
Which probability distribution table corresponds with this frequency distribution table
nlexa [21]

Answer:

A.

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

Step-by-step explanation:

First find the sum

\sum f=4+6+1+4+5=20.

Now, find the probabilities:

  • Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;
  • Pr(x=3)=\dfrac{1}{20}=0.05;
  • Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.

Hence, the frequency distribution table is

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

4 0
3 years ago
Find all solutions for a triangle with c=70 c=24 and a=25
Slav-nsk [51]

Answer:

see the attachments for the two solutions

Step-by-step explanation:

When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.

When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.

___

Here, the law of sines can be used to solve the triangle:

A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°

B = 180° -70° -A = 31.81° or 8.19°

b = 24·sin(B)/sin(70°) = 13.46 or 3.64

5 0
3 years ago
Read 2 more answers
What is the value of x?
Mariulka [41]

Answer:  x = 7

`Step-by-step explanation:

Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:

 9 cm       72 cm

----------- = -----------

3x - 20      56 cm

Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²

Dividing both sides by 72 cm, we get:

3x - 20 = (504 cm²) / (72 cm) = 7

Then 3x - 20 = 7, and 3x = 27.  Then x must be 9.

4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
3 years ago
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