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3 years ago

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

Mathematics

2 answers:

Sindrei [870]3 years ago

7 0

The first one! hope it helps

guapka [62]3 years ago

5 0

First One

If you distribute this
(x*x) + (x*8) + (x*1) + (8*1)
x^2 + 8x + 1x + 8
x^2 + 9x + 8

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A bag contains purple marbles and red marbles, 34 in total. The number of purple marbles is 2 more than 3 times the number of re

Irina-Kira [14]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

Firstly, you have to make an expression in terms of x where x represent red marbles. Given that the question says purple marbles is 2 more than 3 times the number of red marbles. So the expression is :

Let red marbles = x,

$purple = 2 + 3x$

$red = x$

Next, given that the total marbles in the bag is 34 so you have to add both marbles together and solve the value of x :

$2 + 3x + x = 34$

$4x = 32$

$x = 32 \div 4$

$x = 8$

Lastly, you have to substitute the value of x into the expression of purple marbles :

Let x = 8,

$purpe = 2 + 3(8)$

$purple = 26$

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3 years ago

Simplify - tanx-(sec^2 / tanx)

Mashcka [7]

Answer:

-cot(x)

Step-by-step explanation:

tanx-(sec^2x / tanx)

Lets get a common denominator of tan

tan x * tan x/ tan -sec ^2 x/ tan x

tan ^2 x - sec ^2 x

---------------------------

tan x

We know than sec^2 - tan^2 =1 (trig identity) so factor out -1

-1(-tan ^2 x + sec ^2 x)

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tan x

-1(1)

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tan x

-1

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tan (x)

We know 1/ tan x = cot (x)

- cot(x)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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