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3 years ago

Which of the following equations would represent the graph of the parabola y=3x^2-4x-1 after a reflection in the x-axis?

Mathematics

1 answer:

CaHeK987 [17]3 years ago

6 0

Answer: The reflection is: y' = -3x^2 + 4x - 1

Step-by-step explanation:

We have the parabola y = 3x^2 - 4x + 1

When we do a reflection in one of the two principal axis (x-axis or y-axis), the thing we need to do is multiply the other variable by -1 (if the reflection is done in the x-axis, we multiply y by -1)

We have that our new graph is the graph of -1*y, and this is = -1*(3x^2 - 4x + 1)

The reflection is: y' = -3x^2 + 4x - 1

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If (2i/2+i)-(3i/3+i)=a+bi, then b=

max2010maxim [7]

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

= (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

= 5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

6 0

3 years ago

the sum of three integers is 92. the second number is three times the first number. the third number is ten less than twice the

Elanso [62]

1st number = x

2nd number = 3x

3rd number = 2x-10

x +3x + 2x-10 =92

6x - 10 = 92

6x =102

x = 102/6

x = 17

1st number = 17

2nd number = 17*3 = 51

3rd number = 17 *2 = 34-10 = 24

17 + 51 + 24 = 92

3 numbers are 17, 51 and 24

8 0

3 years ago

Does the following equation represent growth or decay?

Neporo4naja [7]

Answer:

Growth

Step-by-step explanation:

The number that is multiplying (1.01) is more than 0 so growth

7 0

3 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$