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Makovka662 [10]
3 years ago
14

What is the vertex of g(x) = –3x2 + 18x + 2?

Mathematics
2 answers:
WITCHER [35]3 years ago
5 0

Answer:

The vertex of g(x) is (3;29)

Step-by-step explanation:

The coordinates of the vertex for a cuadratic equation are defined as:

Xv = -b/2a

Yv = f(Xv)

Where b, and a correspond to the coefficients of the linear and cuadratic  terms respectively. In this particular case f(x) is represented by g(x).  

Then by replacing the coefficients a and b in the x-coordinate we obtain:

Xv = -18/ (2.-3) = -18 / -6 = 3

And by replacing Xv in g(x):

Yv = g(Xv) = -3(3)^2 + 18(3) + 2  

Yv = -27 + 54 + 2 = 29

Thus the vextex of g(x) is (3:29)

svet-max [94.6K]3 years ago
4 0
G(x)=1
-3x2+18x+2
-6+18+2
6+2
8
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TEA [102]

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4)  x^4-64=0

x^4 = 64

x = \sqrt[4]{64}

x = 2.83

6 0
2 years ago
The ratio of boys to girls in class is 4 : 5 <br> What fraction of the class are boys
Sav [38]

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

6 0
3 years ago
What will the sign be on the solution to this problem: (-3)(-4)(5)(6)(-7)<br><br> +<br> -
Korvikt [17]

Answer:

-

Step-by-step explanation:

becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive

4 0
3 years ago
Read 2 more answers
Write each fraction as a sum or difference
vekshin1

a)\\\dfrac{17+5n}{4}=\dfrac{17}{4}+\dfrac{5}{4}n\\\\b)\\\dfrac{8-9x}{3}=\dfrac{8}{3}-\dfrac{9}{3}x=\dfrac{8}{3}-3x\\\\c)\\\dfrac{4y-12}{2}=\dfrac{4}{2}y-\dfrac{12}{2}=2y-6\\\\d)\\\dfrac{25-8t}{5}=\dfrac{25}{5}-\dfrac{8}{5}t=5-\dfrac{8}{5}t\\\\e)\\\dfrac{18x+51}{17}=\dfrac{18}{17}x+\dfrac{51}{17}=\dfrac{18}{17}x+3

5 0
3 years ago
URGENT HELP NEEDED! Brainliest! Please only correct answers...
agasfer [191]
I think that the answer would be D
5 0
3 years ago
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