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Tema [17]
3 years ago
6

The first three steps of completing the square to solve the quadratic equation x2 +4x-6=0

Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:


Step-by-step explanation:

1.  Move the 6 to the other side:   x^2 +4x                        =6

2.  Square half the coefficient of the x term:  (4/2)^2 = 4

3.  Add this 4, and then subtract this 4, from x^2 + 4x:

     x^2 +4x + 4 - 4                       =6

4.  Rewrite this perfect square as the square of a binomial:

      (x + 2)^2   -   4   = 6

5.  Add 4 to both sides:    (x + 2)^2 =  10

6.  Find the sqrt of both sides:  x + 2 = √

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What is the cost of 3.5kg of pork at $7.99/kg?
Veronika [31]

It is given in the question that cost of pork is $7.99/kg.

It means cost of 1 kg pork is $7.99.

Cost of 2 kg of pork is

=2*7.99 = $15.98

And cost of 3 kg of pork is

= $7.99*3 = $23.97

Therefore cost of 3.5 kg of pork is

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3 0
3 years ago
Fred takes 3 hours to dig a garden. It takes Jason 5 hours to
Irina18 [472]
It takes them 1 7/8 hrs to complete the job together.

How:
Fred = 3 hrs
Jason = 5 hrs

1/3x + 1/5x = 1/x

3x x 5x = 15 —> 3x/15 + 5x/15 = 15/15

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3 years ago
Show the expression as the base to one power. 4^5⋅4^3
White raven [17]
Hey there! :D

When you multiply powers, you add them.

You would only need to add 5 and 3 together. 

5+3= 8

4^8 <=== the answer

I hope this helps! 
~kaikers 
5 0
3 years ago
A pumpkin is thrown out of a window that is 4 feet high with an upward velocity of 14. When will the pumpkin hit
Gnom [1K]

Answer:

Step-by-step explanation:

Given

Height H = 4 feet

Velocity = 14ft/s

Required

Time the pumpkin will hit the ground

Using the equation of mottion

H = ut + 1/2gt²

4 = 14t + 1/2(9.8)t²

4 = 14t + 4.9t²

4.9t²+14t-4 = 0

t = -14±√196+16(4.9)/2(4.9)

t = -14±√196+78.4/2(4.9)

t = -14±16.57/9.8

t = -14+16.57/9.8

t = 2.57/9.8

t = 0.2seconds

7 0
2 years ago
Which Property Is Shown By 2+5 = 5+2?
taurus [48]
I'm pretty sure it's commutative property of addition
6 0
2 years ago
Read 2 more answers
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