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3 years ago

F(x) = 4x^3+...+ 9list all possible rational zeroes of the function

1 answer:

7 0

The Rational Root Theorem says any rational zeros of f must be a fraction with a factor of the constant (9 here) in the numerator and a factor of the leading coefficient (4 here) in the denominator. We have to include negative factors.

Factors of 9: -9, -3, -1, 1, 3, 9

Factors of 4: 1, 2, 4

We only have to consider negative numbers for the numerator to get all the possible values.

We just make the list, going through all the numerators one denominator at a time.

Possible rational zeros, i.e. possible rational values for x such that f(x)=0 are

Answer: -9, -3, -1, 1, 3, 9, -9/2, -3/2, -1/2, 1/2, 3/2, 9/2, -9/4, -3/4, -1/4, 1/4, 3/4, 9/4

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Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.

Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

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1 year ago

Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. What is the volume of the display box? Explain your

Black_prince [1.1K]

Answer:

$\text{Volume of display box}=216\text{ in}^3$

Step-by-step explanation:

We have been given that Wren’s first display box is 6 inches long, 9 inches wide, and 4 inches high. We are asked to find the volume of display box.

We know that the box is in form of cuboid, so its volume would be length times width times height.

$\text{Volume of display box}=6\text{ in}\times 9\text{ in}\times 4\text{ in}$

$\text{Volume of display box}=216\text{ in}^3$

Therefore, the volume of the display box is 216 cubic inches.

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3 years ago

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Angelina_Jolie [31]

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2 years ago

Johnny says that he solved

tatuchka [14]

Answer:

Yes 10.7

Step-by-step explanation:

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3 years ago

A city park is in the shape of a rectangle with width of 25 yd. and length of 60 yd. What is the length of the diagonal that run

Jobisdone [24]

Answer:

65 yd

Step-by-step explanation:

The diagonal of a rectangle can be found using

Pythagoras' Theorem a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Given:

a = 25
b = 60

⇒ 25² + 60² = c²

⇒ c² = 4225

⇒ c = √4225

⇒ c = 65

Therefore, the length of the diagonal is 65 yd

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2 years ago

F(x) = 4x^3+...+ 9list all possible rational zeroes of the function​

F(x) = 4x^3+...+ 9list all possible rational zeroes of the function