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 central angle θ in a circle of radius 4 m is subtended by an arc of length 5 m. find the measure of θ in degrees. (round your

koban [17]

Answer:

$\theta=71.6\°$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=4\ m$

substitute the values

$C=2\pi (4)=8 \pi\ m$

step 2

Remember that

360 degrees subtends the arc of length $8 \pi\ m$ (circumference)

by proportion

Find the measure of θ by an arc of length 5 m

assume $\pi=3.1416$

$\frac{360}{8\pi}=\frac{\theta}{5}\\ \\ \theta=360*5/8\pi \\ \\ \theta=71.6\°$

5 0

3 years ago

Can someone help me with these 2 questions please and thank you?

Inessa05 [86]

2 × 3 = 6. 2. 7×3 =21

4 0

3 years ago

A set of piano prices distributed at a mean of 3000 and a standard deviation of 200 dollars. An electric piano has a price of 25

lana [24]

Answer:

The proportion of piano prices higher than the electric piano is 98.3%

Step-by-step explanation:

The first thing to do here is to calculate the standard score of the price of the electric piano given.

Mathematically, this is

z-score = (x-mean)/SD

where mean is 3000 and SD is 200, x is 2576

z-score = (2576-3000)/200 = -2.12

Now we proceed to calculate the probability of this z-score

The probability we are trying to calculate is

P( x > $2576) or simply P ( z > -2.12)

Using standard score probability calculator or table, we have

P(x>2576) = 1 - P(x<2576)

But, P(x<2576) = 0.017003

P(x>2576) = 1 - P(x<2576) = 0.983

This is same as 98.3%

4 0

3 years ago

Help Plzzz i cant find the answer

Kryger [21]

To solve this, you need to know slope-intercept form;
$y=mx+b$
Where mx is the slope and b is the y-intercept form.
Now, looking at the values you have been provided, you can just plug them into the formula.
$y= \frac{2}{3}x -2$

6 0

3 years ago

Help! (Math and area!!)

LenKa [72]

Answer:

1.) Triangle is 1/2 x b x h (Which is option C)

2.) Rhombus is ½ × d1 × d2. (Which is option A)

3.) Trapezoid is ½(b 1+b 2)h or (b1 + b2)h/2 (Which is option B)

4.) Parallelogram is base x height (Which is option D)

Step-by-step explanation:

6 0

3 years ago