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ryzh [129]
3 years ago
10

|2x−3y| if x=0.5; y=−0.7 help me out please

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0
The answer is 3.1
(2*0.5)-(3*-0.7)
1-(-2.1)
1+2.1
3.1
oee [108]3 years ago
5 0

The given expression is

| 2x-3y | , x=0.5, y=-0.7

Substituting the given values of x and y, we will get

| 2(0.5)-3(-0.7) | = | 1+ 2.1 | = |3.1 |

And absolute value of both positive and negative number is a positive number .

Therefore the final answer is

| 3.1 | = 3.1

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Determine the resulting polynomial: f ( x ) = 7 x + 9 f(x)=7x+9 g ( x ) = − 5 x 2 − 2 x − 8 g(x)=−5x 2 −2x−8 Find: f ( x ) ⋅ g (
S_A_V [24]

:) Brainliest pls?

Answer:

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

Step-by-step explanation:

If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then

f(x) * g(x) will be:

(7x+9)(-5x^2 - 2x -8)

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

7 0
3 years ago
9x-2y=11 <br> 5x-2y=15 <br> what is the solution to the above system of equations<br> ASAP
natali 33 [55]

9x - 2y = 11 ... (i)

5x - 2y = 15 ... (ii)

Subtracting equation (ii) from (i) we get;

4x + 0 = -4

4x=-4 , x = -1

Replacing x = -1 in equation (i) we get;

9(-1) - 2y = 11

-9 - 2y = 11

-2y = 20

y = 20 ÷ -2 = -10

The solution to the system of equations is (-1,-10).

8 0
3 years ago
Read 2 more answers
Can you please answer
BabaBlast [244]
I believe it should be A.
7 0
2 years ago
Find the area of the figure​
Alex17521 [72]

Answer:

To find area of parallelogram, multiply base and height

Step-by-step explanation:

Base is 6, height is 4

6 x 4 =  x

x = 24

4 0
3 years ago
Hello people ~
Luden [163]

Cone details:

  • height: h cm
  • radius: r cm

Sphere details:

  • radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

<u>Using Pythagoras Theorem</u>

(a)

TO² + TU² = OU²

(h-10)² + r² = 10²                                   [insert values]

r² = 10² - (h-10)²                                     [change sides]

r² = 100 - (h² -20h + 100)                       [expand]

r² = 100 - h² + 20h -100                        [simplify]

r² = 20h - h²                                          [shown]

r = √20h - h²                                       ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (\sqrt{20h - h^2})^2  \  ( h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20h - h^2)  (h)

\longrightarrow \sf V = \dfrac{1}{3}  * \pi  * (20 - h) (h) ( h)

\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)

To find maximum/minimum, we have to find first derivative.

(c)

<u>First derivative</u>

\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )

<u>apply chain rule</u>

\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}

<u>Equate the first derivative to zero, that is V'(x) = 0</u>

\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0

\Longrightarrow \sf 40h-3h^2=0

\Longrightarrow \sf h(40-3h)=0

\Longrightarrow \sf h=0, \ 40-3h=0

\Longrightarrow \sf  h=0,\:h=\dfrac{40}{3}<u />

<u>maximum volume:</u>                <u>when h = 40/3</u>

\sf \Longrightarrow max=  \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )

\sf \Longrightarrow maximum= 1241.123 \ cm^3

<u>minimum volume:</u>                 <u>when h = 0</u>

\sf \Longrightarrow min=  \dfrac{1}{3} \pi (0)^2(20-0)

\sf \Longrightarrow minimum=0 \ cm^3

6 0
2 years ago
Read 2 more answers
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