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Dmitriy789 [7]
4 years ago
7

Write the quadratic function in vertex form. y = x^2 - 14x + 53

Mathematics
1 answer:
Soloha48 [4]4 years ago
8 0
Complete the square

y=(x^2-14x)+53
take 1/2 of -14 and square it and add negtive and postive inside arenthasees
y=(x^2-14x+49-49)+53
complete the square
y=(x-7)^2-49+53
y=(x-7)^2+4
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a map shows the town where niko lives. the actual distance from niko's house to his school is 3miles, and measures one-half inch
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6 miles = 1in

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3 years ago
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What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1? A. Dis
Firlakuza [10]

Answer:

The correct option is D. Discontinuity at (1, 7), zero at (negative four thirds, 0)  

Step-by-step explanation:

\text{The function is given to be : }f(x)=\frac{3x^2+x-4}{x-1}\\\\\implies f(x)=\frac{(3x+4)(x-1)}{(x-1)}

To find the point of discontinuity :

Put the denominator equal to 0

⇒ x - 1 = 0

⇒ x = 1

Also, if the factor (x - 1) gets cancel, then it becomes a hole rather than a asymptote , ⇒ y = 3x + 4 at x = 1

⇒ y = 7

So, Point of discontinuity : (1, 7)

And the zero is : after cancelling the factor (x - 1) put the remaining factor = 0

⇒ 3x + 4 = 0

⇒ 3x = -4

⇒ x = negative four thirds ( zero of the function)

Therefore, The correct option is D. Discontinuity at (1, 7), zero at (negative four thirds, 0)

4 0
3 years ago
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What is an expression that shows 4 less than the sum of g and 5
svet-max [94.6K]

Answer:

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Answer:

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Step-by-step explanation:

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Please help me with question 20. Thank you.
aleksley [76]

Answer:

B=208.72

Step-by-step explanation:

June 22

July: 22+ 22x (1+10%) = 46.2

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Sep: 72. 82+ 22 (1+10%)³= 102.102

Oct: 102.102 + 22 x(1+10%)⁴= 134.3122

Nov: 134.3122 + 22×(1+10%)⁵= 169.74342

Dec:169.74342 +22(1×10%)⁶ =208.717762

=208.72

The calulation of Compound interest )

7 0
2 years ago
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