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3 years ago

Simplify the following expression -5[(x^3+1)(x+4)]

Mathematics

1 answer:

katrin [286]3 years ago

4 0

Answer:

Step-by-step explanation:

-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]

= -5 [ x³*x + x³*4 + 1*x + 1*4 ]

= -5 [ x⁴ + 4x³ + x + 4]

= -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4

= -5x⁴ - 20x³ - 5x - 20

You might be interested in

Which representation shows a nonproportional relationship between x and y? 6 4 2 1 FA 11 3 y = -X -9-8-7-6-5-4-3-2-1 334 5 6 7 8

aleksandr82 [10.1K]

proportional relationships have constant ratios.

the graph is a line, so it is a proportional relationship. (A)

the function is in the form y=kx (proportional function) (C)

Find the ratio of the tables: (B)

$m=\frac{-0.8-(-1.6)}{-2-(-4)}=0.4=\frac{0.4-(-0.8)}{1-(-2)}=\frac{1.2-0.4}{3-1}=$

$m=\frac{-0.2-(-1)}{-3-(-5)}=0.4=\frac{1.8-(-0.2)}{2-(-3)}=\frac{3-1.8}{5-2}$

All represent a proportional relationship

4 0

1 year ago

Marcus bought he used 50% on tickets on rides and 1/4 of the tickets on video games and the rest of the tickets in the batting c

GalinKa [24]

Answer:

Therefore Marcus is incorrect.

Step-by-step explanation:

Total ticket that Marcus bought= 100%.

Marcus used 50% of ticket on rides.

and he used $\frac{1}{4}$ of the tickets on the video games.

The percentage form of any number x is

$=100\times x \%$

The percentage form of $\frac{1}{4}$ is

$=\frac{1\times 100}{4} \%$

=25%

Therefore rest tickets are

=Total ticket-( ticket used in rides + ticket used in video games)

=100% - (50%+25%)

=100% - 75%

=25%

Therefore he used 25% of tickets in batting cage.

But he said that Marcus said that he used 24% of ticket in batting cage.

Therefore Marcus is incorrect.

8 0

3 years ago

The graphs of f(x) and g(x) are shown below:

rosijanka [135]

<h2>Answer:</h2>

Option: C is the correct answer.

C.) x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

$f(x)=x^2-x-12$

and the function g(x) is given by:

$g(x)=-1.8x-0.6$

Now, we are asked to find the solution of the equation:

$f(x)=g(x)$

i.e. we have to find the value of x such that both the functions are equal i.e.

$x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0$

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

$ax^2+bx+c=0$

is given by:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

Here we have:

$a=5,\ b=4\ and\ c=-57$

Hence, the solution is given by:

$x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3$

6 0

3 years ago

Please help me with this math question!!!!!

astraxan [27]

Answer:

Step-by-step explanation:

7x+30+9x+42=104

16x+72=104

16x=104-72

16x=32

x=2

SO:

<BOC=9x+42=

9(2)+42=

18+42=

7 0

3 years ago

What is equivalent to 4/9(2n-3)

sp2606 [1]

4/9(2n)+4/9(-3)
(4x2/9)n+(4 x -3)/9
(8/9)n -12/9
8/9n-4/3

4 0

3 years ago