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Angelina_Jolie [31]
3 years ago
7

Which of the following quartic functions has x=-1 and x=-2 as its only two real zeros

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0
Quartic is 4th degree
the factors of an equation with roots r1,r2 is
(x-r1)(x-r2)
4th degree
it could be
(x-r1)¹(x-r2)³ or
(x-r1)²(x-r2)² or
(x-r1)³(x-r2)¹


roots or zeroes at x=-1 and x=-2
(x-(-1)) and (x-(-2))
(x+1) and (x+2)

the function could be factored into
(x+1)¹(x+2)³ or
(x+1)²(x+2)² or
(x+1)³(x+2)¹

expanded would be
x⁴+7x³+18x²+20x+9 or
x⁴+6x³+13x²+12x+4 or
x⁴+5x³+9x²+7x+2
one of those is the answer

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Select the simplification that accurately explains the following statement.
Mariana [72]

<u>Answer</u>

D


<u>Explanation</u>

9⁽¹/²⁾² =  (9⁽¹/²⁾)²

        = 9¹/² × 9¹/²           (Since the base are the same, we can add the power.)

         = 9⁽¹/² ⁺¹/²⁾

         = 9 ¹

           = 9

The correct simplification is D.

8 0
4 years ago
Answer These Questions and show your work to be brainliest
Andre45 [30]
1.     20 of 40 is 50%      20/40 = 1/2    1/2 = 50%

2.  It is 20% because 600 is 20% of 3000

3.   40% of 30 = 12   50 = 15    10% = 3 (get it)

4, 40% of 65 = 26    50%= 32.5 (get it)
3 0
4 years ago
Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in
Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = \frac{4}{2} = 2 inches

Since, the area of a circle = \pi r^{2}

This implies that area of the two circles = 2\times \pi r^{2}

i.e. Area of the circles =  2\times \pi 2^{2}

i.e. Area of the circles =  8\pi

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = side^{2}

i.e. Area of the square = 10.5^{2}

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0
3 years ago
Plz help simplify 8/10​
Free_Kalibri [48]

\frac{8}{10} → \frac{4}{5}

8 and 10 can both be divided by 2. So, 8 ÷ 2 is 4 and 10 ÷ 2 is 5.

Hope this helps :)

3 0
3 years ago
Read 2 more answers
If f(x)=7x-7 what is f(8)+f(4)
NARA [144]

<u>Given Function is</u>

  • f ( x ) = 7x - 7 ------- eqn ( 1 )

<u>Now , put the value of x = 8 in eqn ( 1 )</u>

  • f ( 8 ) = 7 ( 8 ) - 7
  • f ( 8 ) = 56 - 7
  • f ( 8 ) = 49 ------- eqn ( 2 )

<u>Now , put the value of x = 4 in eqn ( 1 )</u>

  • f ( 4 ) = 7 ( 4 ) - 7
  • f ( 4 ) = 28 - 7
  • f ( 4 ) = 21 ------- eqn ( 3 )
<h3 />

<u>From eqn ( 2 ) nd eqn ( 3 ) we get,</u>

  • f ( 8 ) + f ( 4 )
  • 49 + 21
  • 70

Hope Helps! :)

7 0
3 years ago
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