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victus00 [196]
3 years ago
8

Create an expression equivalent to 2 (3x =1) 3x+4 using the least number of terms

Mathematics
1 answer:
Mariana [72]3 years ago
6 0

Answer:

18x^2 + 18x -8

Step-by-step explanation:

To use the least number of terms, simplify the expression. To simplify, distribute into the parenthesis and combine like terms.

2(3x-1)(3x+4) = 2(9x^2-3x+12x-4) = 2(9x^2+9x-4) = 18x^2 + 18x -8

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Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean
Lyrx [107]

Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

\frac{82 + 78 + 93 + x}{4} = 81

253 + x = 324

x = 324 - 253

x = 71

She needs a grade of 71 on her next text.

5 0
4 years ago
If an item is 4.75 before tax and after is 5.13 how much is the sales tax rate?
Anestetic [448]

Answer:

8%

Step-by-step explanation:

Let's say the tax percent was x%. Then, we can write the equation:

4.75 + x% * 4.75 = 5.13

Notice that both terms on the left have 4.75 so factor that out:

4.75 * (1 + x%) = 5.13

Divide both sides by 4.75:

1 + x% = 5.13/4.75 = 1.08

Subtract 1 from both sides:

x% = 0.08

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.08

Multiply both sides by 100:

x = 8

Thus, the tax rate is 8%.

Hope this helps!

5 0
4 years ago
Read 2 more answers
What is b. If the number as a fraction is 56/90.
MA_775_DIABLO [31]
The answer is:  " 28 " .
___________________________________________________
  " Twenty-eight (28) students said they would vote for Brianna."
___________________________________________________
Explanation:
___________________________________________________
We are given, in the problem, that there are "45 students total" .
___________________________________________________
The fraction:  \frac{56}{90} ;

can be reduced as follows:

\frac{56}{90} = (56÷2) / (90÷2) = [tex] \frac{28}{45} .
___________________________________________________
Thus, "28 students out of 45 students voted for Brianna" .
___________________________________________________
The answer is:  "28 students" .
___________________________________________________
Hope this helps!
___________________________________________________
4 0
3 years ago
The current population of a threatened animal species is 1.2 million, but it is declining with a half-life of 20 years. How many
Allisa [31]
Rate:\frac{1,200,000}{20}
Unit\ Rate:\frac{60,000}{2} = 30,000

25\ Years:750,000
55\ Years:1,650,000

6 0
3 years ago
Consider that the roots of a cubic equation with integral coefficients are 1, −2, and 3.
Iteru [2.4K]

Answer:

The answer is option A) X + 2

Step-by-step explanation:

Any polynomial of order n can be expressed in terms of their roots in factors of the form

(x-a)(x-b)(x-c)(x-d)....... = 0

Where a,b,c,d,... are the roots of the polynomial

In the example shown

(x+2) = (x-(-2))

And -2 happens to be the root of the polynomial in question

3 0
3 years ago
Read 2 more answers
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