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Ad libitum [116K]
3 years ago
15

The graph of the function f(x)= x2 − 4x + 6 is shown here. What is its axis of symmetry?

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

First, simplify the expression of the function f(x)=x^2-4x+6 highlighting the perfect square:

f(x)=x^2-4x+4-4+6=(x-2)^2+2.

Then find the vertwx of parabola. When x=2, f(2)=2 and the coordinates of the vertex are (2,2). The axis of symmetry passes through the vertex and is parallel to the y-axis. Therefore, its equation is x=2 (see attached graph for details).

Answer: x=2.

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Answer:

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Step-by-step explanation:


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3 years ago
write a conjecture as to the number of sides as compared to the number of triangles formed when drawing diagonals from one verte
zmey [24]

Answer:The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1.

Step-by-step explanation :an opinion or conclusion formed on the basis of incomplete information.

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2 years ago
How many blue counters must be added so that the ratio of yellow counters to total counters is 1 to 6
Ivahew [28]

Answer:

5

Step-by-step explanation:

if the ratio is 1:6, and its yellow to total, that means that you would need to subract 1 from 6 to get the number to blue counters needed to get the correct ratio

6 0
3 years ago
Read 2 more answers
If the diameter of the circle below is 16 in., what is the area of the circle?
mote1985 [20]

Answer:

64π inches² (approximately 201.06 inches²)

Step-by-step explanation:

A=\pi r^2 where r is the radius

To find the radius, divide the diameter by 2

16 ÷ 2 = 8 inches

Plug in 8 as the radius

A=\pi (8)^2\\A=64\pi

A=201.06 (approximately)

Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².

I hope this helps!

8 0
3 years ago
Read 2 more answers
An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip is drawn.
Harlamova29_29 [7]

Answer:

(A) 0.04

(B) 0.25

(C) 0.40

Step-by-step explanation:

Let R = drawing a red chips, G = drawing green chips and W = drawing white chips.

Given:

R = 8, G = 10 and W = 2.

Total number of chips = 8 + 10 + 2 = 20

P(R) = \frac{8}{20}=\frac{2}{5}\\P(G)=  \frac{10}{20}=\frac{1}{2}\\P(W)=  \frac{2}{20}=\frac{1}{10}

As the chips are replaced after drawing the probability of selecting the second chip is independent of the probability of selecting the first chip.

(A)

Compute the probability of selecting a white chip on the first and a red on the second as follows:

P(1^{st}\ white\ chip, 2^{nd}\ red\ chip)=P(W)\times P(R)\\=\frac{1}{10}\times \frac{2}{5}\\ =\frac{1}{25} \\=0.04

Thus, the probability of selecting a white chip on the first and a red on the second is 0.04.

(B)

Compute the probability of selecting 2 green chips:

P(2\ Green\ chips)=P(G)\times P(G)\\=\frac{1}{2} \times\frac{1}{2}\\ =\frac{1}{4}\\ =0.25

Thus, the probability of selecting 2 green chips is 0.25.

(C)

Compute the conditional probability of selecting a red chip given the first chip drawn was white as follows:

P(2^{nd}\ red\ chip|1^{st}\ white\ chip)=\frac{P(2^{nd}\ red\ chip\ \cap 1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\=\frac{P(2^{nd}\ red\ chip)P(1^{st}\ white\ chip)}{P (1^{st}\ white\ chip)} \\= P(R)\\=\frac{2}{5}\\=0.40

Thus, the probability of selecting a red chip given the first chip drawn was white is 0.40.

6 0
2 years ago
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