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3 years ago

What is the end behavior of the function f(x)=5/4x^2

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

Answer:

As x→∞ , f(x)→∞

As x→-∞, f(x)→∞

Step-by-step explanation:

Considering equation: f(x) = $\frac{5}{4}$ x²

As x goes to infinity, the value of x² is always positive so f(x) goes to positive infinity.

As x goes to negative infinity, the value of x² is still positive so f(x) still goes to positive infinity.

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Step-by-step explanation:

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3 years ago

Which pair of expressions are equivalent?

Zielflug [23.3K]

Answer:

second one

Step-by-step explanation:

Because when you try to remove the brackets then you should multiply coefficient of x and coefficient of y by 2

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2 years ago

Given that sin0=21/29 what is the value cos 0 for 0°< 0<90°

sp2606 [1]

Answer:

20/29

Step-by-step explanation:

sin θ = 21/29

Use Pythagorean identity:

sin² θ + cos² θ = 1

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Since 0° < θ < 90°, cos θ > 0. So cos θ = 20/29.

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3 years ago

The product (x) of two numbers is 24 and their sum (+) is 10. What is the value of the largest of the two numbers?

RideAnS [48]

let the two numbers be x and y

From the first sentence,

xy=24

x+y=10

Then make y in equation 2 the subject of the formular and substitute in equation 1

x+y=10

y=10-x

substituting in equation 2

x(10-x)=24

open the bracket

10x-x^2=24

=-x^2+10x=24

Transfer the constant to the left hand side

=-x^2+10x-24=0

Then factorise completely

Look at the photo above

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3 years ago