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3 years ago

Write the expression in simplest form. ( 4 = + 3) – 2(- \ - - })= 0

Mathematics

1 answer:

Dimas [21]3 years ago

6 0

Answer:

3^x=9^{x+5}

Step-by-step explanation:

3^x=9^{x+5}

x^2-x-6=0

x^4-5x^2+4=0

\sqrt{x-1}-x=-7

\left|3x+1\right|=4

\log _2\left(x+1\right)=\log _3\left(27\right)

3^x=9^{x+5}

If request to solve;

\mathrm{Convert\:}9^{x+5}\mathrm{\:to\:base\:}3

9^{x+5}=\left(3^2\right)^{x+5}

\mathrm{Solve\:}\:x=2\left(x+5\right):\quad x=-10

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Why do we use variables in math?

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Answer:

We use it to substitute an unknown number. We have a variable for a number we don’t know and as we solve the problem we can find the answer for the variable or unknown number.

Step-by-step explanation:

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Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

kari74 [83]

The given polynomial is
f(x) = x³ + 6x² + 12x + 35

According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.

Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54
Not a factor.

Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.

Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
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Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
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Answer: (x+5) is a factor.

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3 years ago

What does "nth term" mean?

In-s [12.5K]

Answer:

Step-by-step explanation:

nth term means an expression which allows us to find the term that is in the nth position in the sequence.

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3 years ago

In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

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