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3 years ago

Determine the end behavior for function f(x)=-x^4+5x^3-3

Mathematics

1 answer:

Gnesinka [82]3 years ago

4 0

Answer:

Step-by-step explanation:

The dominant term of this function is x^4. The graph of x^4 starts in Quadrant II and continues in Quadrant I.

If we have y = -x^4, the graph starts in Quadrant III and continues in Quadrant IV. This is the end behavior for f(x)=-x^4+5x^3-3.

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Expand. If necessary, combine like terms. (x+3)(x – 3) = ?

Kobotan [32]

Step-by-step explanation:

multiply it

x²-3x+3x-9=0

x²-9=0

x²=9

square root both side we get

x=3

5 0

3 years ago

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In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

monitta

Answer: The ratio that represents the cosine of ∠T is $\frac{56}{65}$

Step-by-step explanation:

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

$\cos \theta=\frac{\text{base}}{\text{hypotenuse}}$

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

$\cos \theta=\frac{UV}{TU}=\frac{56}{65}$

Hence, the ratio that represents the cosine of ∠T is $\frac{56}{65}$

6 0

3 years ago

A triangle has a perimeter of 77 inches. What are the side lengths of a, b, and c?

Yuki888 [10]

Answer:

I believe this is pathgorean theorem, which I did at the beginning of alegbra last year. It is basically finding the missing side of a triangle. (Trust me some of the easiest stuff you do all year) Below are my notes from last year. I hope it helps! Good Luck!!!

Step-by-step explanation:

Given two sides

If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:

a² + b² = c²

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root:

a = √(c² - b²)

if leg b is unknown, then

b = √(c² - a²)

for hypotenuse c missing, the formula is

c = √(a² + b²)

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3 years ago

For a standard normal distribution find the approximate value of p(z<0.42)

Kruka [31]

Answer:

p(z<0.42) = 0.6628

Step-by-step explanation:

A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. That is to say:

μ = 0

σ² = 1

Using a calculator, we find that:

p(z<0.42) = 0.6628 (See picture attached)

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3 years ago

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The radius of a giant beach ball is 18 inches. What is its surface area?

IRISSAK [1]

Answer:

4071.5 in^2

Step-by-step explanation:

The surface area of a sphere of radius r is A = 4πr²

In this case, with r = 18 in, A = 4π(18 in)² = 4071.5 in²

8 0

3 years ago