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4 years ago

When 7/8x^2-3/4 x is subtracted from 5/8x^2-1/4x+2 the difference is?

Mathematics

2 answers:

artcher [175]4 years ago

4 0

7/8x²-3/4x - 5/8x²-1/4x+2

x²/4-x+2

Mrac [35]4 years ago

3 0

Answer:

$-\frac{1}{4}x^{2}+\frac{1}{2}x+2$

Step-by-step explanation:

In this problem we have

$(\frac{5}{8}x^{2} -\frac{1}{4}x+2)- (\frac{7}{8}x^{2} -\frac{3}{4}x)$

Group terms that contain the same variable

$(\frac{5}{8}x^{2} -\frac{1}{4}x+2)- (\frac{7}{8}x^{2} -\frac{3}{4}x)=(\frac{5}{8}x^{2}-\frac{7}{8}x^{2})+(-\frac{1}{4}x+\frac{3}{4}x)+(2)$

$=(-\frac{2}{8}x^{2})+(\frac{2}{4}x)+(2)$

Simplify

$=-\frac{1}{4}x^{2}+\frac{1}{2}x+2$

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A rectangle has a width of 5 yd and a length of 9 yd.

Yuri [45]

Answer:

Option The area is increased by a factor of $16$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to scale factor squared

Let

z-----> the scale factor

x------> the area of the dilated rectangle

y------> the area of the original rectangle

$z^{2}=\frac{x}{y}$

we have

$z=4$ ------> is an enlargement

substitute

$4^{2}=\frac{x}{y}$

$16=\frac{x}{y}$

$x=16y$

therefore

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8 0

3 years ago

Read 2 more answers

"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students

dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71$

95% confidence interval would be

$\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)$

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0

3 years ago

In a shipment of 22 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of

Eddi Din [679]

Answer:

Therefore the required ways are =190

Step-by-step explanation:

Combination: Combination is the number of selection of items from a collection of items where the order of selection does not matter.

Total number of smartphones =22

Defective phone = 2

Non defective phone = (22-2) =20

The control inspector randomly test 4 smartphones of which 2 are defective.

Non defective phone = 2

The ways to select 2 non defective phone is

$^{20}C_2=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!}=\frac{19\times 20}{2} =190$

The ways to select 2 defective phone is= $^2C_2=1$

Therefore the required ways are = (190×1) =190

5 0

4 years ago

The area of a square equals the square of a length of the side of the square. The perimeter of a square equals the sum of the le

Murrr4er [49]

Answer:

Step-by-step explanation:

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3 years ago

Robin donated bags of grain that each weighed 40/3 pounds to the local food shelf. If the total weight of the grain was 160 poun

Novay_Z [31]

Answer:

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Step-by-step explanation:

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2 years ago