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avanturin [10]
3 years ago
14

Given the following function, find f(-2), f(0), and f(4).

Mathematics
1 answer:
borishaifa [10]3 years ago
6 0

Answer:

f(-2) = 0

f(0) = -4

f(4) = 12

Step-by-step explanation:

Given the function f(x) = x^2 - 4, we must plug in the values substituting x for each of the answers.

f(-2) = (-2)^2 - 4

-2 times itself is a positive 4, therefore:

f(-2) = 4 - 4

f(-2) = 0

We do the same for each answer.

f(0) = (0)^2 - 4

f(0) = -4

f(4) = (4)^2 - 4

f(4) = 16 - 4

f(4) = 12

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Please be quick! I need this as soon as possible!
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Answer:

64%

Step-by-step explanation:

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5 0
3 years ago
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Round 27,372 to the nearest ten thousand.
grin007 [14]

Answer:

30,000

Step-by-step explanation:

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6 0
3 years ago
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What is the distance between the points (5,1) and (-3,-5)?<br>​
Charra [1.4K]

Answer

\boxed{10 \: \:  units}

Step by step explanation

Let the points be A and B

A ( 5 , 1 ) ⇒ ( x₁ , y₁ )

B ( -3 , -5 )⇒ ( x₂ , y₂ )

Now, let's find the distance between theses two points:

Distance = \mathsf{ \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2}  } }

Plug the values

\mathsf{ \sqrt{ {( - 3 - 5)}^{2} +  {( - 5 - 1)}^{2}  } }

Calculate

\mathsf{ \sqrt{ { ( - 8)}^{2}  +  {( - 6)}^{2} } }

Evaluate the power

\mathsf{ \sqrt{64 + 36} }

Add the numbers

\mathsf{ \sqrt{100} }

Write the number in exponential form with a base of 10

\mathsf  {\sqrt{ {10}^{2} } }

Reduce the index of the radical and exponent with 2

\mathsf{10 \: units}

-------------------------------------------------------------------------------

The distance formula is used to determine the distance ( d ) between two points. If the co-ordinates of the two points are ( x₁ , y₁) and ( x₂ , y₂ ) , the distance equals the square root of x₂ - x₁ squared + y₂ - y₁ squared.

Hope I helped!

Best regards!

6 0
3 years ago
Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most
marissa [1.9K]

 4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

<u>Step-by-step explanation:</u>

Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:

Let the  the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.

⇒ 4x-7

But , according to question Dwight builds at most 9 models i.e.

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⇒ x\leq 4

Therefore ,  4x-7\leq 9  inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .

7 0
3 years ago
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