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Airida [17]
3 years ago
10

Find the vertex of the graph of the function. f(x) = 3x^2 - 18x + 24

Mathematics
2 answers:
harkovskaia [24]3 years ago
4 0

Answer:

(3, - 3 )

Step-by-step explanation:

Given a quadratic in standard form

f(x) = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 3x² - 18x + 24 ← is in standard form

with a = 3, b = - 18

x_{vertex} = - \frac{-18}{6} = 3

Substitute x = 3 into the equation for corresponding value of y

f(3) = 3(3)² - 18(3) + 24 = 27 - 54 + 24 = - 3

vertex = (3, - 3 )

vovangra [49]3 years ago
3 0

Answer:

Step-by-step explanation:

f(x) = 3x² - 18x + 24

f(x) = 3(x²-6x +8)

f(x) = 3 ((x² -6x+9) - 9) +8)

f(x) = 3 ( (x-3)²- 1 )

f(x) = 3(x-3)² - 3

note : the vertex of the graph of the function. f(x) = a(x-h)² + k is the point : (h;k)

in this exercice the vertex is : (3; -3 )

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Which number is between 7.17 x 10^4 and 8.17 10^5 A. 6.92 x 10^4 B. 7.2 x10^9 C. 7.57 x 10^3 D. 8.053 x 10^4
Serga [27]

Answer:

D. 8.053 x 10^4

Step-by-step explanation:

Given :

7.17 x 10^4 and 8.17 10^5

The number in between the two Given numbers should be greater Than 7.17*10^4 but less than 8.17*10^5

A. 6.92 x 10^4 - this is less than 7.17 * 10^4 ; hence doesn't fit in

B. 7.2 x10^9 - this is greater than both values, hence, doesn't fit in

C. 7.57 x 10^3 - this is less than 7.17*10^4 ; hence does not fit in

D. 8.053 x 10^4 - this fits in as it is greater than 7.17*10^4 and less than 8.17*10^5 ; hence, it is the correct answer.

6 0
3 years ago
Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Lelu [443]

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula a^{2} +b^{2} =c^{2}. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So c^{2} = 2025. Find the square root of 2025. \sqrt{2025} = 45. Hope this helped ^^

4 0
3 years ago
Please help! How do I solve this?
Advocard [28]
m\angle 6=m\angle3\\
8x+7=6x+32\\
2x=25\\
x=12.5\\\\
m\angle 6=8\cdot12.5+7=100+7=107\Rightarrow D

5 0
3 years ago
True or false: A) Any two different points must be collinear. B) Four points can be collinear. C) Three or more points must be c
Tasya [4]

Answer:

A) True

B) True

C) False

Step-by-step explanation:

Knowing that the collinear points are all those that pass through a line, we have:

A) given two points they form a line, by themselves they are collinear  (graph 1)

B) Can be or not can be (graph 2)

C) Can be not must be (graph 3)

8 0
3 years ago
WILL GIVE BRAINLIEST!!!
Alex_Xolod [135]

Answer:

I guess B....................

3 0
3 years ago
Read 2 more answers
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