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drek231 [11]
3 years ago
6

17) WILL MARK BRAINLIEST + 10 POINTS

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0
The 1st equation, is the only one. PROOF:

f(x) = x⁴ - 2x² + 36x -80
1) f(2) = 2⁴ - 2(2)² + 36(2) - 80 = 0, hence 2 is a zero value (or a root)
2) f(-4) = (-4)⁴ - 2(-4)² + 36(-4) - 80 = 0, hence - 4 is another root.

Since x= 2 and x= -4, f(x) is then divisible by (x-2)(x+4) or if you proceed to this multiplication you will find:

(x-2)(x+4) = x² + 2x -8, that means f(x) is divisible by (x<span>² + 2x -8)

IDivide </span> (x⁴ - 2x² + 36x -80) / (x<span>² + 2x -8) you will find:
</span>
(x⁴ - 2x² + 36x -80) / (x² + 2x -8)  = x² -2x +10. Now let's find the zeros of 

x² -2x +10; x' = [-b+√(b²-4ac)]/2a  and  x" = [-b-√(b<span>²-4ac)]/2a, after plugging in the corresponding values you will find that:
</span>x' = 1+3i       and x" = 1 - 3i ==> x<span>² -2x +10 = (x-1+3i)(x-1-3i)
and at last f(x) = </span>x⁴ - 2x² + 36x -80 = (x-2)(x+4)(x-1+3i)(x-1-3i), with following zeros: -2 , -4 ,  1-3i and 1+3i


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It’s the second one .!!!!!!
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Find the Error: A student is finding the measures of the angles in a triangle that have the ratio 4:4:7. Find the mistake and co
BaLLatris [955]

Answer:

angles are 48°, 48°, 84°

Step-by-step explanation:

ratio of angles = 4 : 4 : 7 = 4x : 4x : 7x ( x is a multiplier )

the sum of the 3 angles = 180 , then

4x + 4x + 7x = 180 , that is

15x = 180 ( divide both sides by 15 )

x = 12

the student made the error of assuming x = 12 was the size of the 2 equal angles.

the correct angles are

4x = 4 × 12 = 48°

4x = 4 × 12 = 48°

7x = 7 × 12 = 84°

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2 years ago
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Which of the following represents the graph of f(x) = 3x2 - 12 ?
xxMikexx [17]
F(x) = 3x² - 12

Finding where the graph crosses the axes will help us to determine the correct graph

When x = 0,
f(0) = 3(0)² - 12
f(0) = -12

So we have one point (0, -12)

When y = 0
0 = 3x² - 12
12 = 3x²
4 = x²
√4 = x
x = ⁺/₋ 2 

So the graph crosses the x-axis at -2 and 2 and the y-axis at -12

The correct graph is option A
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3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x = <br><br> I NEED HELP ASAP
melomori [17]

The sum of the angles of a triangle is 180°. So you can do:

91° + (8x + 3)° + (10x - 4)° = 180°   To find x, you need to isolate/get the variable "x" by itself in the equation. First combine like terms (terms that have the same variable and power/exponent]

91 + 3 - 4 + 8x + 10x = 180      (I rearranged for the like terms to be next to each other)

90 + 18x = 180      Subtract 90 on both sides

18x = 90       Divide 18 on both sides to get "x" by itself

x = 5

PROOF

91° + (8x + 3)° + (10x - 4)° = 180°       Plug in 5 for "x"

91° + (8(5) + 3)° + (10(5) - 4)° = 180°

91° + (40 + 3)° + (50 - 4)° = 180°

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180° = 180°

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3 years ago
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Answer:

try b

Step-by-step explanation:

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