All categories

3 years ago

20 Points + Brainliest for the answer and Explanation!!!

Mathematics

1 answer:

Vlad1618 [11]3 years ago

8 0

Answer:

$P+Q=5x^2+4$

$Q-P=-x^2-4x+16$

Step-by-step explanation:

We are given

$P=3x^2+2x-6$

$Q=2x^2-2x+10$

Calculation of P+Q:

$P+Q=3x^2+2x-6+2x^2-2x+10$

now, we can combine like terms

$P+Q=3x^2+2x^2+2x-2x+10-6$

$P+Q=5x^2+0+4$

$P+Q=5x^2+4$

Calculation of Q-P:

$Q-P=2x^2-2x+10-(3x^2+2x-6)$

Firstly, we will distribute negative sign

$Q-P=2x^2-2x+10-3x^2-2x+6$

now, we can combine like terms

$Q-P=2x^2-3x^2-2x-2x+6+10$

$Q-P=-x^2-4x+16$

You might be interested in

A three-bedroom house in North Augusta sold for $190,000. If housing prices are expected to increase 1.8% annually in that town,

Ivahew [28]

Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

$190,000 + $190,000*0.018 = $190,000*(1.018)

another year after, we have:

$190,000*(1.018)*(1.018) = $190,000*(1.018)^2

and etc

The function that models the price as a function of the years, represented as y, is:

P(y) = $190,000*(1.018)^y

If we want to know the price in 5 years, we need to replace y = 5 in the equation:

p(5) = $190,000*(1.018)^5 = $207,726.80

Step-by-step explanation:

hope this helps you

3 0

3 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

#SPJ1

7 0

2 years ago

Is my name OG because i want to know

vovikov84 [41]

Answer:

okayyyyy.... then

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the value of b in the equation below?

Ymorist [56]

Answer:

When you divide powers you take them away but when you times them you add them

7 0

3 years ago

Please help me answer this

Ronch [10]

Answer:

10.77

Step-by-step explanation:

by using Pythagoras theorem we can find the distance between the points,

so...

distance between the points, which is the hypotenuse will be xy

difference between the y coordinates will be dy

difference between the x coordinates will be dx

according to pythagoras theorem,

$xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77$

8 0

3 years ago