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insens350 [35]
3 years ago
11

If f(x)=x^2, wich of the following describes the grap of f(x)-5?​

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

x² - 5

Step-by-step explanation:

Given f(x) then f(x) - 5 represents a vertical translation, parallel to the y- axis.

f(x) + c

If c > 0 then shift vertically up of c units

If c < 0 then shift vertically down of c units

here c = - 5, hence

x² - 5 represents the graph

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Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6)<br> Explain your steps!!
Lapatulllka [165]
So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24




4 0
3 years ago
4(v – 6) + 5 = 4v - 19
erik [133]

Answer:

0

Step-by-step explanation:

is it helpful or not,?

8 0
3 years ago
Lisa ran around a rectangular field 150 m long and 50 m wide at an average speed of 100 m/min. How long did she take to complete
Anarel [89]

Answer:

20 minutes

Step-by-step explanation:

To make one round of the field, Lisa will have to cover the entire perimeter of the field.

The perimeter of a rectangle = 2(l+w) Where L = length and W = width.

The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m

Lisa's average running speed = 100m/min

The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.

To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.

6 0
3 years ago
Read 2 more answers
5x + 3y = -4<br> y - 2x = 6<br> ([?], [ ]
Elanso [62]

Answer:

put 25 first box second box put {{08-2 but make sure he does it when she do that {{

Step-by-step explanation:

3 0
2 years ago
Consider the quadratic equation below. Determine the correct set-up for solving the equation using the quadratic formula.
Studentka2010 [4]

Answer:

--3 ±sqrt((-3)^2 -4(4)(-9))

-------------------------------

2(4)

Step-by-step explanation:

4x^2-5=3x+4

We need to get this in standard form to answer the question

Subtract 3x from each side

4x^2-3x-5=3x-3x+4

4x^2-3x-5=+4

Subtract 4 from each side

4x^2-3x-9 =0

a = 4

b = -3

c = -9

-b ±sqrt(b^2 -4ac)

---------------------------

2a

--3 ±sqrt((-3)^2 -4(4)(-9))

-------------------------------

2(4)

5 0
3 years ago
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