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4 years ago

Multiply (2x + 8)(4x + 7)

Mathematics

2 answers:

Anuta_ua [19.1K]4 years ago

7 0

Hey! (2x + 8)(4x + 7) = 2x(4x + 7) + 8(4x + 7) = 8x^2 + 14x + 32x + 56 =
8x^2 + 46x + 56 <==
Hope this helps! :)

Elena-2011 [213]4 years ago

5 0

8x^2+14x+32x+56=8x^2+46x+56

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Simplify (12-6i) - (-3 - 8i)

mestny [16]

(12-6i)-(-3-8i). First you have to combine like terms, to do that remove the parenthesis: 12-6i-3+8i (because there is a - in front of the second parentheses the signs inside change). Now combine like terms: 9+2i. So your answer is 9+2i :)

6 0

3 years ago

A rectangular sheet of paper 88cm×21cm is rolled along its length and cylinder is formed . find the total surface area of thecyl

vagabundo [1.1K]

length =88cm

breadth=21cm

when it is rolled it becomes cylinder

having circumference 88cm

2πr=88cm

r=88×7/44

r=14

h=21

total surface area of the cylinder =2πr(r+h).

=2×22/7×14(14+21)

=3080cm²

8 0

3 years ago

Read 2 more answers

Can someone please answer this, ill give you brainliest Would be very appreciated.

svetoff [14.1K]

Explanation:

Question 1

At $5 = $3750 revenue

At $17 = $2500 revenue

Hence, at $5 the revenue is more.

Question 2

Looking at the vertex (maximum point of the curve), we can identify that the company should sell their products at cost of $10 by which they will make a revenue of $5000.

Question 3

Domain lies in the x axis of the graph. Here the domain:

0 ≤ x ≤ 20

6 0

2 years ago

What is the equation of the line of best fit for the following data? Round the

Svet_ta [14]

Answer:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4$

And the slope would be:

$m=\frac{45.4}{50.8}=0.8937 \approx 0.894$

Now we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8$

$\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4$

And we can find the intercept using this:

$b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535$

So the line would be given by:

$y=0.894 x +0.535$

And the best option is:

A. y = 0.894x + 0.535

Step-by-step explanation:

We have the following dataset given

x: 5,6,9,10,14

y: 4,6,9,11,12

We want to find the least-squares line appropriate for this data given by this general expresion:

$y = mx +b$

Where m is the slope and b the intercept

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 44$

$\sum_{i=1}^n y_i =42$

$\sum_{i=1}^n x^2_i =438$

$\sum_{i=1}^n y^2_i =398$

$\sum_{i=1}^n x_i y_i =415$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4$

And the slope would be:

$m=\frac{45.4}{50.8}=0.8937 \approx 0.894$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8$

$\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4$

And we can find the intercept using this:

$b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535$

So the line would be given by:

$y=0.894 x +0.535$

And the best option is:

A. y = 0.894x + 0.535

4 0

4 years ago

Grayson has 3 music lessons each week. Each lesson is 45 minutes long. How many total hours will he spend in music lessons in a

Anna [14]

about 117 hours bc there are about 52 weeks in a year. And one week of 3 lessons is 2 (1/4)hrs. And 2(1/4) × 52 = 117 hrs

6 0

3 years ago