According to The Fundamental Theorem of Algebra, how many zeros does the function. f(x) = 3x4 + x + 2 have?

Answers

Answer 1

Answer: According to The Fundamental Theorem of Algebra, we work with complex roots which means that the function. f(x) = 3x4 + x + 2 has !four! zeros that will coincide with degree of polynomial. You will have as many complex coefficients as many you have zeros. Hope it is clear. Regards.

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Please Answer ASAP Math Question

Consider f(x)=2|x|What is the rate of change over the interval 0≤x≤4?

How is the rate of change over this interval related to the form of the function?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the average rate of change of f(x) in the closed

interval [a, b] is

$(f\left(b\right)-f\left(a\right))/(b-a)$

Given the interval [a, b] = [0, 4]

$f(x)=2|x|$

$f(b)=f(2)=2\cdot \:4$ ∵ $\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0$

$= 8$

$f(x)=2|x|$

$f(a)=f(0)=2\cdot \:0$ ∵ $\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0$

$= 0$

so the average rate of change :

$(f\left(b\right)-f\left(a\right))/(b-a)=(8-0)/(4-0)$

$=(8)/(4)$

$= 2$

We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.

I don’t understand how to solve this problem??

Answers

i think every angle below 90 degrees

3. Answer: complementary

That's the word for angles which add to ninety degrees.

4. Who's Christy? We missed part of the story here.

If the idea is that Christy noticed that the acute angles in a right triangle are complementary from some examples, that would indeed be an example of inductive reasoning.

True or false the law of cosines can only be applied to acute triangles.

Answers

Answer:

False

Step-by-step explanation:

Law of cosines:

If you know two sides and an included angle, or all the three sides of the triangle, then law of cosines can be applied as:

$c^2=a^2+b^2-2abcosC$ where C is an included angle.

Acute triangle:

A triangle whose all the three angles are less than 90 degrees.

Thus, it is not necessary that the law of cosines will be applied to only acute triangles. Law of cosines can be applied to any triangle as to use it, we only need two sides and an included angle.

Thus, the given statement that is the law of cosines can only be applied to acute triangles is false.

Answer:

False

Step-by-step explanation:

The answer is false

Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she has a budget of $20 (condition B). The graph represents the constraints on the number of gallons of milk M and yogurt Y Zhao Xue buys. Zhao Xue buys 4 gallons of milk. how many gallons of yogurt can she buy to meet both her constraints? A.) Exactly 2.5 gallons
B.) At least 4 gallons and at most 6.5 gallons
C.) At least 2.5 gallons and at most 4 gallons
D.) Zhao Xue doesn’t have enough money left to buy any yofurt

Answers

Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt

Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.

From the graph, we can write

Condition A :

$M+Y\geq 6.5.$

Condition B :

$8M+5Y\leq40.$

Now, if she buys 4 gallons of milk, the the conditions become

$4+Y\geq 6.5~~\Rightarrow Y\geq 2.5,\n\n8* 4+5Y\leq 40~~\Rightarrow Y\leq 1.6.$

Here, there will be no solution to these constraints.

Therefore, she does not have enough money left to buy any yogurt.

Thus, the correct option is (D).

Answer: exactly 2.5 gallons

This is for khan academy.

How many micrometers long is one edge of a centimeter cube

Answers

Answer:

10000 micrometers.

Step-by-step explanation:

We have to convert the 1cm length of the edge of the cube to micrometers Remember the following conversion units:

$1* 10^(-6) m= 1 \mu m$ and $1* 10^(-2) m= 1 cm$ denoting m for meters, cm for centimeters and μm or micrometers. In particular, dividing on both sides of the first equation we get the identity $1=(1\mu m)/(1* 10^(-6) m)$

Combine the previous information to get:

$1 cm=1* 10^(-2) m= (1* 10^(-2) m) \cdot (1)= (1* 10^(-2) m)(1\mu m)/(1* 10^(-6) m)=(10^(-2))/(10^(-6))\mu m=10^4 \mu m=10000 \mu m$

Note how we "cancelled" the m symbolically as if it was a variable. This is one of the methods to convert units, and the fractions involved are known as conversion factors.

10000 micrometers if it is one cenimeter per side

Brainliest if correct hurryyy!!