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mamaluj [8]
2 years ago
14

Find the coefficient of x2 in (3x2 – 5) (4 + 4x2), expand using algebraic expressions and answer

Mathematics
1 answer:
Scilla [17]2 years ago
7 0

Answer:

- 8

Step-by-step explanation:

Given

(3x² - 5)(4 + 4x²)

Each term in the second factor is multiplied by each term in the first factor, that is

3x²(4 + 4x²) - 5 (4 + 4x²) ← distribute both parenthesis

= 12x² + 12x^{4} - 20 - 20x² ← collect like terms

= 12x^{4} - 8x² - 20

The coefficient of the x² term is - 8

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Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.
Ede4ka [16]
<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>Point Y is the midpoint of segment XZ</u></em>

XY = 2(3x +1)

YZ = 5x + 22

To find: Value of x

Since, Point Y is the midpoint of segment XZ,

Therefore,

XY = YZ

2(3x + 1) = 5x + 22

6x + 2 = 5x + 22

6x - 5x = 22 - 2

<h3>x = 20</h3>

Thus, value of x is 20

6 0
2 years ago
A frequency distribution is a tabular summary of data showing the a. number of items in several classes. b. relative percentage
Viefleur [7K]

Answer:

The answer is a: Number of items in several classes.

Step-by-step explanation:

Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data

2,2,4,4,6,6,6,8,8,10

The frequency distributions is

Number   frequency

2                  2

4                  2

6                  3

8                   2

10                  1

The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are  tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)

Number             Fraction/%

2                          2/10 or 20%

4                         2/10 or 20%

6                          3/10 or 30%

8                           2/10 or 20%

10                            1/10 or 10%

6 0
2 years ago
The cost of tuition at Cornell University is 43,000 per year when rounded to the nearest thousand what is the greatest possible
melomori [17]
The cost of the tuitions will if you round off 43:000 it would $43
3 0
2 years ago
When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent?
stira [4]
Note that (5π)/6 radians = 150°. Therefore the given angle is in quadrant 2.

Refer to the figure shown below.

Reference angles are measured relative to the horizontal axis.
Therefore the reference angle in each quadrant is π/6 radians or 30°.
Denote the reference angle as θ'.
Then, in quadrant 1,
cos θ' = √3/2,  sin θ' = 1/2,  tan θ' = √3.

Because we are in quadrant 2,
  sin θ' = π/6;
  sin(5π/6) is positive, but cos (5π/6) and tan (5π/6) are negative.

 Answer:
5π/6 is in quadrant 2.
The reference angle, θ' = π/6.
sin(5π/6) is positive, cosine and tangent are negative.

3 0
2 years ago
Read 2 more answers
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for t
hoa [83]

Answer:

Since p value <0.1 accept the claim that oven I repair costs are more

Step-by-step explanation:

The data given for two types of ovens are summarised below:

Group   Group One     Group Two  

Mean 85.7900 78.6700

SD 15.1300 17.8400

SEM 1.9533 2.3840

N 60       56      

Alpha = 10%

H_0: \mu_1 - \mu_2 =0\\H_a: \mu_1 - \mu_2> 0

(Right tailed test)

The mean of Group One minus Group Two equals 7.1200

df = 114

 standard error of difference = 3.065

 t = 2.3234

p value = 0.0219

If p value <0.10 reject null hypothesis

4) Since p value <0.1 accept the claim that oven I repair costs are more

 

3 0
2 years ago
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