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3 years ago

Simplify. (x3 + 2x − 3)(x4 − 3x2 + x)

Mathematics

1 answer:

harina [27]3 years ago

8 0

Step-by-step explanation:

x¹²-3x6-x⁴+2x⁴-6x³+2x²-3x⁴+9x²-3x

x¹²-3x6-2x⁴-6x³+11x²-3x

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Blood pressure values are often reported to the nearest 5 mmHg (100, 105, 110, etc.). The actual blood pressure values for nine

Paladinen [302]

Answer:

a) 117.4

b) 117.9

c) Option A) When there is rounding or grouping, the median can be highly sensitive to small change

Step-by-step explanation:

We are given the following data set in the question:

108.6, 117.4, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

n = 9

a) Median of the reported blood pressure values

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.4, 120.0, 121.5, 123.2, 128.4

Median =

$\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.4$

b) New median of the reported values

Data: 108.6, 117.9, 128.4, 120.0, 103.7, 112.0, 98.3, 121.5, 123.2

Sorted Values: 98.3, 103.7, 108.6, 112.0, 117.9, 120.0, 121.5, 123.2, 128.4

New Median =

$\dfrac{9 + 1}{2}^{th}\text{ term} = 5^{th}\text{ term} = 117.9$

c) Since median is a position based descriptive statistics, a small change in values can bring a change in the median value as the order of the data may change.

Option A) When there is rounding or grouping, the median can be highly sensitive to small change

7 0

3 years ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$

Thus, the unit rate is 2.5 square feet per hour.

5 0

3 years ago

What's the domain of this function graph? A) (-♾, 0) B) (0,♾) C) (-♾,♾) D) (1,♾)

Scilla [17]

Answer:

b) (0,infinity)

Step-by-step explanation:

You can look at the graph and see it starts when x=1, and continues forever in the positive direction.

4 0

3 years ago

Read 2 more answers

Bring the fraction a/a−4 to a denominator of 16−a^2 really do appreciate this thx

RSB [31]

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

a/(a - 4) Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)] Multiply the denominatorator terms

= a(a + 4)/(a² - 16) Multiply by -1/(-1)

= -a(a+4)/(-a² + 16) Reorder terms in denominator

= -a(a+4)/(16 - a²)

5 0

3 years ago

Find the indicated real n th root (s) of a n =2 a=36

ASHA 777 [7]

Answer:

yean um its 13

Step-by-step explanation:

3 0

3 years ago