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Rashid [163]
3 years ago
6

What is the vertex of g(x)=x^2-14x+54 ?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
Use the vertex formula x=-b/(2a) Once you find the x, plug it back in to find the y

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andrew11 [14]
Expand by multiply outside term with each of the inside terms to get
6p^3-6p
7 0
3 years ago
Read 2 more answers
What would the answer be
Reil [10]

Answer:

28.28

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

d² = 20² + 20² ← Pythagoras' identity

    = 400 + 400 = 800 ( take the square root of both sides )

d = \sqrt{800} ≈ 28.28 ( to 2 dec. places )


8 0
3 years ago
In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the a
nataly862011 [7]

Answer:

923.1927 millibars

Step-by-step explanation:

The wind velocity is given by the function:

v(p)=5.7\sqrt{(998-p}

#We make p the subject of the formula:

v(p)=5.7\sqrt{(998-p}\\\\v=5.7\sqrt{(998-p}\\\\\frac{v}{5.7}=\sqrt{(998-p}\\\\\frac{v^2}{5.7^2}=998-p\\\\p=998-\frac{v^2}{5.7^2}

#Substitute the given values in the function above to solve for p;

p=998-\frac{v^2}{5.7^2}\\\\=998-\frac{49.3^2}{5.7^2}\\\\=923.1927\ millibars

Hence, the air pressure is 923.1927 millibars.

7 0
3 years ago
The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is tripl
Anit [1.1K]

Answer:

286

Step-by-step explanation:

If the three-digit number is xyz, then:

x + y + z = 16

y = z + 2

z = 3x

Substitute the third equation into the second:

y = 3x + 2

Substitute this and the third equation into the first:

x + (3x + 2) + (3x) = 16

7x + 2 = 16

7x = 14

x = 2

y = 3x + 2 = 8

z = 3x = 6

The number is 286.

4 0
3 years ago
Write an equation for a function y=square root of x then shifted up 8 units
Brilliant_brown [7]

Answer:

y= x^2 + 8

Step-by-step explanation:

x square rooted is x^2 and shifted up 8 unit probably means that it wants the y-intercept to be 8.

7 0
3 years ago
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