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goblinko [34]
4 years ago
7

Write a quadratic function f whose zeros are - 5 and 7.

Mathematics
1 answer:
weeeeeb [17]4 years ago
3 0
Our two binomials are (X-5)(X-7)

If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35
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If y varies directly as x, and x = 48 when y = 6, find y<br> when x = 12.
pentagon [3]

Answer: Each time the pentagon is rotated , it maps back onto itself. There are five values of  for which the pentagon maps back onto itself. This is the same as the number of sides of the pentagon.

6 0
3 years ago
Read 2 more answers
Rozlyn invested $2000 in an account that pays 4.25% annual
densk [106]

9514 1404 393

Answer:

  $850

Step-by-step explanation:

The amount of interest earned is ...

  I = Prt . . . . . on principal P at annual rate r for t years

Using the given values, the interest earned is ...

  I = $2000·0.0425·10 = $850

The interest Rozlyn's account earns in 10 years is $850.

4 0
3 years ago
A square had a perimeter of 28 ft. What is its area?
Usimov [2.4K]
You will find the side by 28 ÷ 4 = 7 ft because a square has 4 equal sides.
Then we will do side × side to find the area of a square, so 7 × 7 = 49 ft²
So the answer is 49ft²
7 0
4 years ago
Read 2 more answers
Which of the following relations has an inverse that is not a function?
sertanlavr [38]

Answer:

Option B is correct.

The relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)

Step-by-step explanation:

Inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

Let f(x) ={(1, 2), (1, 3), (4, 3)}

To find the inverse:

Inverse of f(x)=g(x)= {(2, 1), (3, 1), (3, 4)}

Function states that a relation in which each input value has only one output value.

Since, g(x) is not a function because the input 3 has multiple output values,.

Therefore, the only relation which has an inverse that is not a function is :(1, 2), (1, 3), (4, 3)



8 0
3 years ago
What is the complete factorization of the polynomial function over the set of complex numbers? f(x)=x^3+3x^2+16x+48
Tamiku [17]

Answer:(x+3)(x+4i)(x-4i)  is the required factorization of f(x).


Step-by-step explanation:

To factor the expression we must first group the terms and then take out common from these groups

f(x)=x^3+3x^2+16x+48=(x^3+3x^2)+(16x+48)

Taking x^2 common from first group and the 16 from second group we get:


f(x) = x^2(x+3)+16(x+3) = (x+3)(x^2+16)


Now, to factor in complex from we have to break term x^2+16


f(x)= (x+3){x^2-(-4i)^2}

As, i^2 = -1 , therefore (-4i)^2 = 16i^2 =-16

Also using identity a^2-b^2 =(a+b)(a-b)

On solving

f(x) = (x+3)(x+4i)(x-4i)

(x+3)(x+4i)(x-4i)  is the required factorization of f(x).


8 0
3 years ago
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