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zavuch27 [327]
3 years ago
13

Can you please help me what is the vertex form of f(x)=x²-6x+14 please help :<​

Mathematics
2 answers:
makkiz [27]3 years ago
6 0

hye you want answer of this question ?

Nana76 [90]3 years ago
3 0

Answer:

f(x) = (x - 3)^2 + 5.

Step-by-step explanation:

f(x) = x² - 6x + 14

f(x) = (x - 3)^2 - 9 + 14

f(x) = (x - 3)^2 + 5.

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Given a conditional statement p → q, which statement is logically equivalent?
svlad2 [7]
Hello,
p=>q  is equivalent to ~q → ~p


p-------q-------p=>q--~q ----- ~p----~q → ~p
0-------0-------1-------1 ------- 1------- 1
0-------1-------1-------0-------  1------- 1
1-------0-------0-------1-------  0-------0
1-------1-------1-------0-------  0-------1

Column 3= column 6 ==>equivalent


Answer B


























3 0
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Please help me and explain. Find the area of the figure thanks
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You answer would be 42
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For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of
Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

3 0
3 years ago
An airplane travels at a constant speed of 300 miles per hour. How far, in miles, will the airplane travel in 20 minutes?​
Strike441 [17]

Answer:

100 miles in 20 minutes.

Step-by-step explanation:

300/60 = x/20

x = 300/60 * 20

x = 100

7 0
2 years ago
Select the correct answer. An inverse variation includes the point (2,12). Which point would also belong in this inverse variati
exis [7]

Answer:

d

Step-by-step explanation:

3 0
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