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2 years ago

I dont understand this

Mathematics

1 answer:

nata0808 [166]2 years ago

8 0

Answer:

The correct answer is:

d) $2x^{2}+3x-3+\frac{3}{4x-6}$

Step-by-step explanation:

The given question is regarding polynomial division.

Please find the attached file for the explanation.

Polynomial division gives:

Quotient: $2x^{2}+3x-3$

Remainder: 3

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For Judy's birthday, her friend gave her a gift card. She went to the clothing store and bought a total of $178.25 worth of clot

vladimir1956 [14]

Answer:

<h3>The percentage is 60% of the total amount paid with the gift card. </h3>

Step-by-step explanation:

Given:

Total worth of clothing is $178.25 and the amount paid with cash is $71.30.

Let us find the part of amount paid with the gift card:

Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).

$G\ =\ 178.25-71.30$

$G\ =\ 106.95$ .

So, the amount paid with the gift card is $106.95.

Now, according to question:

$\frac{106.95}{178.25}\times100$

$=0.6\times100$

$=60$ %.

Therefore, the percentage is 60% of the total amount paid with the gift card.

6 0

2 years ago

Find the area of the segment with a radius of 19 meters to nearest hundredth.

IrinaK [193]

Answer:

take 361times 3.14

Step-by-step explanation:

you will get the answer

3 0

3 years ago

Graph the inequality y> 2x +3

adelina 88 [10]

Graph the inequality y> 2x +3

Solution

Step 1: To graph the inequality, we need to find a few coordinates and form the table.

Step 2: Forming the table.

Let's take x = -1 and find the value of y.

Plug in x = -1 and find the value of y.

y = 2(-1) + 3 = -2 + 3 = 1

When x = -1, the value of y is 1.

So the coordinates are (-1, 1)

Plug in x = 0 and find the value of y.

y = 2(0) + 3 = 3

The coordinates are (0, 3)

Plug in x =1 and find the value of y.

y = 2(1) + 3 = 2 + 3 = 5

The coordinates are (1, 5)

Steo 3: Now let's plot the points and draw the graph.

Since the graph is greater than, we have to draw the dotted lines and shade the region above.

Note: You can find the graph in the attachment.

Thank you :)

7 0

3 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.

3 0

2 years ago

A florist sold 6 iris bouquets and 15 other bouquets yesterday. Based on past data, how many of the next 35 bouquets sold should

viktelen [127]

Answer:

We should expect 10 iris bouquet will be sold out of next 35 bouquet sold.

Step-by-step explanation:

Given;

Number of iris bouquets sold yesterday = 6

Number of other bouquets sold yesterday = 15

We need to find number of iris bouquets sold out of 35 bouquets sold.

Solution:

First we will find the percent of iris bouquet sold yesterday.

Now we know that;

Total bouquet sold yesterday is equal to sum of Number of iris bouquets sold yesterday and Number of other bouquets sold yesterday.

framing in equation form we get;

Total bouquet sold yesterday = $6+15 =21$

Now we can say that;

Percent of iris bouquet sold is equal to Number of iris bouquets sold yesterday divided by Total bouquet sold yesterday and then multiplied by 100

framing in equation form we get;

Percent of iris bouquet sold = $\frac{6}{21}\times 100 = 28.57\%$

Now based on this data we need to find number of iris bouquet sold when total bouquet sold is 35.

number of iris bouquet = $\frac{28.57}{100}\times 35 = 10$

Hence we should expect 10 iris bouquet will be sold out of next 35 bouquet sold.

7 0

2 years ago