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3 years ago

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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Oksana_A [137]

Answer:

10.626

Step-by-step explanation:

There's multiple ways to go about it. See how

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2 years ago

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You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta

vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

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Step-by-step explanation:

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$m = -\frac{\cos 2\theta}{\sin \theta}$

The tangent line is horizontal when $m = 0$ . Then:

$\cos 2\theta = 0$

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$\theta = \frac{1}{2}\cdot \cos^{-1} 0$

$\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right)$ , for all $i \in \mathbb{N}_{O}$

$\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}$ , for all $i \in \mathbb{N}_{O}$

The first four solutions are:

x: $\sqrt{2}$ $-\sqrt{2}$ $-\sqrt{2}$ $\sqrt{2}$

y: 1 -1 1 -1

The solutions listed from the smallest to the greatest are:

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3 years ago

She has 12 apples. She sold 10 and made a $1 profit. How much did she sell each of the 10 apples for?

Papessa [141]

Answer:

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3 years ago

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Plz help asap! I will give 35 points for next question THANKS!

Troyanec [42]

k is the shift up and down

so to shift it down K < 0

h is the shift left and right

a positive shifts left

h>0

Choice C

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3 years ago

snow_tiger [21]

Answer:

Range is 18.

Step-by-step explanation:

Range can be calculated by subtracting the smallest value of the data set from the largest value of the data set.

The values are:

13, 17, 18, 15, 12, 21, 10, 6, 8, 11, 3

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Smallest Value in this data set: 3

Range = Largest Value - Smallest Value

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3 years ago