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2 years ago

Multiply using the distributive property (X+4)(X^2+6x-3)

Mathematics

1 answer:

yan [13]2 years ago

4 0

Answer:

x^3 + 10x^2 + 21x - 12

Step-by-step explanation:

(x + 4)(x^2 + 6x - 3)

you can separate to make it easier for u

x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part

x^3 + 6x^2 - 3x + 4x^2 + 24x - 12

add like terms together

x^3 + 10x^2 + 21x - 12

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Find the inequality represented by the graph

Nuetrik [128]

Answer:

y>=1*x+2

Step-by-step explanation:

y>=k*x+n

we know that 2=k+n and 0=-2k+n

so 4=2k+n and 0=-2k+n

now 4=2n so n=2

now k=1

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2 years ago

Read 2 more answers

What is the value of a when we rewrite 8^x as a^-x/9

Andre45 [30]

Answer:

$a = \frac{1}{134217728}$

Step-by-step explanation:

Given

$8^x = a^{-x/9}$

Required

Find a

Take log of both sides

$log(8^x) = log(a^{-x/9})$

Apply law of logarithm

$x\ log(8) = (-x/9) log(a)$

Divide both sides by a

$log(8) = -\frac{1}{9} log(a)$

Multiply both sides by -9

$-9\ log(8) = log(a)$

Apply law of logarithm

$log(8^{-9}) = log(a)$

Cancel out log

$8^{-9} = a$

Rewrite as:

$a = 8^{-9}$

Apply law of indices

$a = \frac{1}{8^9}$

$a = \frac{1}{134217728}$

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3 years ago

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Marianna [84]

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2 years ago

Which term of the sequence 114,109,104,...is first negative term

Brrunno [24]

The answer is negative 1. This is because the sequence follows a pattern of the final number being 4, then 9, then 4 again. near the end of the sequence, you will end at the term of positive 4, which when 5 is subtracted from it (the pattern is -5), the first negative term is -1.

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2 years ago

Exponential function f is represented by the table. x -1 0 1 2 3 4 f(x) 7.5 7 6 4 0 -8 Function g is an exponential function pas

asambeis [7]

Answer:

A. Both functions are positive and decreasing on the interval.

Step-by-step explanation:

The table shows that f(x) decreases when x increases in the interval (0,3).

All the values of f(x) are positive in the interval (0,3).

For the exponential function that passes through the points (0, 27) and (3, 0), we also see that f(x) is decreasing when x increases: when x goes from 0 to 3, f(x) goes from 27 to 0.

Also all the values of f(x) are positive in the interval.

Then, both functions are positive and dereasing in the interval.

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2 years ago

Multiply using the distributive property (X+4)(X^2+6x-3)​

Multiply using the distributive property (X+4)(X^2+6x-3)