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notsponge [240]
3 years ago
12

Find the value of w if the expression wx(3y² + 6y – 2) simplifies to the expression 6xy² + 12xy – 4x.

Mathematics
2 answers:
tatyana61 [14]3 years ago
6 0

Answer:

-7

Step-by-step explanation:

nadezda [96]3 years ago
3 0

Answer:

w = 2

Step-by-step explanation:

Distribute the expression and compare like terms with the simplified version.

Given

wx(3y² + 6y - 2) ← distribute parenthesis

= 3wxy² + 6wxy - 2wx

Compare coefficients of like terms with

6xy² + 12xy - 4x

Compare xy² term, then

3w = 6 ( divide both sides by 3 )

w = 2

Compare xy term, then

6w = 12 ( divide both sides by 6 )

w = 2

Compare x term, then

- 2w = - 4 ( divide both sides by - 2 )

w = 2

Hence the required value of w is 2

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Find the missing dimension.
Alecsey [184]

Answer:

2 m

Step-by-step explanation:

Here the area and the lengths of the two parallel sides of this trapezoid are given:

A = 7m^2, b1 = 3 m and b2 = 4 m.  What's missing is the width of the trapezoid.

First we write out the formula for the area of a trapezoid:

       b1 + b2

A = --------------- * w, where w represents the width of the figure.

             2

We need to solve this for the width, w.  Multiplying both sides of the above equation by

     2

------------

b1 + b2

results in

 2A

------------ = w

b1 + b2

Substituting 7 m^2 for A, 3 m for b1 and 4 m for b2 results in

        2(7 m^2)           14 m^2

w = ------------------ = ---------------- = 2 m

        (3 + 4) m             7 m

The missing dimension is the width of the figure.  This width is 2 m.

4 0
3 years ago
The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, whi
Helga [31]

Answer:

The equation representing the value of <em>n</em> is, n=\frac{S}{180^{\text{o}}}+2.

Step-by-step explanation:

The formula to compute the sum of the degrees, S, of the interior angles of a polygon is:

S=(n-2)\times 180^{\text{o}}

Compute the equation of <em>n</em> as follows:

   S=(n-2)\times 180^{\text{o}}

\frac{S}{180^{\text{o}}}=(n-2)

   n=\frac{S}{180^{\text{o}}}+2

Thus, the equation representing the value of <em>n</em> is, n=\frac{S}{180^{\text{o}}}+2.

3 0
3 years ago
A recipe calls for 1 part beans to 1-1/2 parts rice. If 1-1/2 parts of beans are used how much rice should be used
Maurinko [17]
I think the answer is 2 parts rice. If you added half to the beans, do it to the rice too.
5 0
3 years ago
Read 2 more answers
Hello, i need help with this question please!<br><br> solve x/2 +3 &gt; 4
jeka57 [31]

Answer:

x >2

Step-by-step explanation:

x/2 +3 > 4

Subtract 3 from each side

x/2 +3-3 > 4-3

x/2 >1

Multiply each side by 2

x/2*2 >1*2

x >2

3 0
2 years ago
Read 2 more answers
The owner of a local nightclub has recently surveyed a random sample of 300 customers of the club. She would now like to determi
trapecia [35]

Answer:

0.0416

Step-by-step explanation:

Given :

Sample size, n = 300

Sample mean, x = 35.5

Population mean, m = 35

Standard deviation, s = 5

The test statistic :

Zstatistic = (x - m) / s/sqrt(n)

Zstatistic = (35.5 - 35) / 5/sqrt(300)

Zstatistic = 0.5 / 0.2886751

Zstatistic = 1.732

Using the p value calculator from Zstatistic :

One tailed P value at 95% confidence interval is : 0.0416

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