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3 years ago

Simplify: (ab + bc) (ab - bc)

Mathematics

1 answer:

yanalaym [24]3 years ago

6 0

$\: \: \: \:$

$= {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2}$

Step-by-step explanation:

$(ab + bc)(ab - bc)$

use ( a + b ) ( a + b ) = a² - b² to simply the product

$(ab {)}^{2} - (bc {)}^{2}$

to raise a product to a power ,raise each factor to that power

$= {a}^{2} {b}^{2} - {b}^{2} {c}^{2}$

<h2>hope it helps</h2>

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In a survey 3/4 of 400 parents said yes, they give their children fruit snack. How many answered yes to the survey?

KonstantinChe [14]

300 parents

3/4 = x/400, and we are trying to find x.

Multiply the numerator and denominator of 3/4 each by 100 to make the denominator equal 400. This gives 300/400. So, 300/400 = x/400.

Multiply both sides of the equation by 400 to cancel out the division. This gives you 300 = x, so 300 parents said yes to the survey.

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3 years ago

Find the whole. 20% of is 18.

Stolb23 [73]

Since 20% can be rewritten as 1/5, then we can multiply 18 by 5 to get 90, which is your answer. Hope this helps!

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3 years ago

I would really want for someone to help me, I need to turn this in tomorrow

alukav5142 [94]

Answer:

x=0, y=0

x=8, y=4

Step-by-step explanation:

y= 1/2x

y=1/2(0)

y=0

y=1/2x

y=1/2(8)

y=4

3 0

3 years ago

Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data c

slega [8]

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14

<h3>The data points </h3>

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

x represents years since 2000
y represents the annual revenue of a manufacturing company in thousand dollars

<h3>The function of the dataset</h3>

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14

<h3>Why the function type was chosen?</h3>

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

#SPJ1

5 0

2 years ago

Help please and thanks!

IRISSAK [1]

Alright. It seems like the triangle that has the 45 degree angle with angles c & d is an isosceles triangle which meas two sides are equal.
If that is true, angle d would be 45. Add 45 and 45 together to get 90, which is angle c. The angle right across from c, a, will be 90 as well. Add 90 and 45 to get 135 and then do 180 - 135 to get angle b. Angle b should equal 45 as well. So adding each of the angles together, 90 + 45 + 90 + 45 = 360

Your final answer is 360.

8 0

3 years ago

Simplify: (ab + bc) (ab - bc)​

Simplify: (ab + bc) (ab - bc)