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Helga [31]
3 years ago
10

Which of the following could be the graph of y = –xn where n is odd?

Mathematics
1 answer:
mina [271]3 years ago
8 0

Answer:

Step-by-step explanation:

I think you meant y = -x^n, where ^ denotes exponentiation.

If n is odd, the graph begins in Quadrant II and decreases through the origin into Quadrant IV.  This is true of -x, -x^3, -x^5, and so on.

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Use the quadratic formula to solve x^2+8x+9=0
Tju [1.3M]
None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)
4 0
3 years ago
Q1. Find y, if √12 - √147 + y√3 = 0
o-na [289]

Answer:

Q1. y = 5 Q2.  (√2 - √3)/2

Step-by-step explanation:

Q1

√12 - √147 + y√3 = 0

Taking -√147 and √12 to the right hand side, we have

y√3 = √147 - √12

y√3 = √(3 × 49) - √(3 × 4)

y√3 = √3 × √49 - √3 × √4

y√3 = √3 × 7 - √3 × 2

y√3 = 7√3 - 2√3

y√3 = 5√3

Dividing both sides by √3, we have

y√3/√3 = 5√3/√3

y = 5

Q2

Sin45° - Cos30°

Since Sin45° = √2/2 and Cos 30° = √3/2

Substituting these values into the equation, we have

Sin45° - Cos30° = √2/2 - √3/2

Taking L.C.M of both factors, we have

Sin45° - Cos30° = (√2 - √3)/2

6 0
3 years ago
What was Miguel's mistake if any?
iogann1982 [59]

Answer:

Step-by-step explanation:

According to my answer, he shound have computed 2^3 which is 8 and suibstract that from four getting four, then multiplying it by tow to get eight so it should be 4 so Miguel made no mistakes.Since he was doing the order of operations for each step of the equation.

7 0
3 years ago
Read 2 more answers
Adam has 16.45 kg of flour, and the uses 6.4 to make hot cross buns. The remaining flour is exactly enough to make 15 batches of
White raven [17]

Answer: 0.6kg of flour will be in each batch of scones.

Step-by-step explanation:

Adam has 16.45 kg of flour, and he used 6.4kg to make hot cross buns. This means that the remaining flour would be the total amount of flour that he had initially minus the the amount that he used to make hot cross buns. This is expressed as

16.5 - 6.4 = 10.05 kg

The remaining flour is exactly enough to make 15 batches of scones. This means that 10.05 kg of flour will be enough to make 15 batches of scones.

We want to determine how much flour, in kg, will be in each batch of scones. Let this amount of flour be xkg

If 10.05 kg of flour will be used to make 15 batches of scones. Then,

xkg of flour will be used to make 1 batch if stones

x = 10.05/15

x = 0.67

5 0
3 years ago
Read 2 more answers
N ice cream shop uses the following ingredients to make 11 sundae. Ingredient Amount Ice cream 22 scoops Sprinkles 44 spoonfuls
zavuch27 [327]

16 sundaes

Because 22/11 = 2

32/2= 16

3 0
3 years ago
Read 2 more answers
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