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Mila [183]
3 years ago
9

Consider the given function.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
3 0

Answer:

D)

Step-by-step explanation:

f(x) = x^2 -14x -72

0=x^2 - 14x-72

0=x^2 - 18x+4x-72

0=x(x-18)+4(x-18)

0=(x-18)(x+4)

x-18=0 or x+4=0

x1=18 or x2=-4

asis of symmetry: x=(x1+x2)/2

x=(18+(-4))/2

x=14/2

x=7

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What conjecture can you make about the sum of the first 22 positive even numbers?
alekssr [168]

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

7 0
3 years ago
Factor each expression by factoring out the common binomial <br><br> 5a(y + 4) + 8(y + 4)
Tems11 [23]

Answer:

Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

Step-by-step explanation:

We need to factor the term: 5a(y + 4) + 8(y + 4)

Factoring:

5a(y + 4) + 8(y + 4)

Taking (y+4) common

(y+4)(5a+8)

It cannot be further factored.

So, Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

6 0
3 years ago
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Firdavs [7]

9514 1404 393

Answer:

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Step-by-step explanation:

Put the argument where the variable is and do the arithmetic.

  f(-1/4) = 2(-1/4) -3 = -1/2 -3

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Answer:

1. If it is just a line and it has no end points then it means that it is a line if it has endpoints then it's a line segnment.

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Step-by-step explanation:

/

4 0
3 years ago
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