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lisabon 2012 [21]
3 years ago
6

What is the vertex f(x)= 5x^2+20x-16

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0
F(x) = 5x² + 20x - 16

y = 5(x² + 4x) - 16
y + 16 = 5(x² + 4x + __)

perfect square:
x² ⇒ x * x
4x ⇒ 2*2x
2² = 4

y + 16 + 4 = 5(x² + 4x + 4)
y + 20  = 5(x+2)²

(x+2)² ⇒ (x+2)(x+2) = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4

y = 5(x+2)² - 20
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express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
Mashutka [201]

The exponential form of given number 121200 is 1.212 × 10^5

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × 10^8

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × 10^5

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × 10^5

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × 10^8

Learn more about the powers of 10 here:

brainly.com/question/13303295

#SPJ4

4 0
1 year ago
What is the volume of a hemisphere with a radius of 29 m, rounded to the nearest tenth of a cubic meter?
salantis [7]

Answer:

19.4 cubic meter

Step-by-step explanation

Round your answer to the nearest tenth of a cubic centimeter.

4 0
3 years ago
If 168 chocolate chips weigh 5 1 4 ounces. How many chocolate chips are in an ounce?
saw5 [17]

Answer:

if 168 chocolate chips weighs 514 ounces then you would divide

514/168=3.220238095

so round to the nearest tenth and get 3.2

you get that there are 3.2 chocolate chips are in one ounce

Step-by-step explanation:

hope this helps and plz give brainiest

6 0
4 years ago
In one group ,2 out of 5 students are wearing glasses.what fraction is that?
ryzh [129]
2/5
2 out of 5
means 2/5
or 4/10, whichever
4 0
4 years ago
It is recommended that a ramp have at least 8 feet of horizontal distance for every 1 foot of horizontal rise along an incline.
Pavlova-9 [17]

Answer:

the Answer is

Step-by-step explanation:

Yes. To meet the​ recommendation, the ramp needs to have a horizontal distance of at least 16 feet. The ramp has a horizontal distance of 17.9 feet.

(those were my answers i dont know if its going to be the same but i hope this helps) have a nice day

7 0
3 years ago
Read 2 more answers
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