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Amiraneli [1.4K]
3 years ago
8

Factoring with Algebra Tiles

Mathematics
2 answers:
Setler [38]3 years ago
5 0
We have to determine the equivalent factored form for the quadratic polynomial:
2 x² + x - 6
2 x² + x - 6 = 2 x² + 4 x - 3 x - 6 =
= 2 x ( x + 2 ) - 3 ( x + 2 ) =
= ( x + 2 ) ( 2 x - 3 ).
Zero pairs:
x + 2 = 0
x = - 2;
2 x - 3 = 0
2 x =  3
x =  3 /2
Answer:
The number of zero pairs needed to model this polynomial is : two ( x = - 2 and x = 3/2 ).
The equivalent factored form is: ( x + 2 ) ( 2 x - 3 ).
Nata [24]3 years ago
4 0
<span>The answers are as follows
3
(2x-3)(x+2)</span>
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Vadim26 [7]
X = {3.898979486, -5.898979486}

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7 0
3 years ago
I need help with this!
timurjin [86]

Answer:

a=11

Step-by-step explanation:

Let's solve your equation step-by-step.

√a+5=4

Solve Square Root.

√a+5=4

a+5=42(Square both sides)

a+5=16

a+5−5=16−5(Subtract 5 from both sides)

a=11

Check answers. (Plug them in to make sure they work.)

a=11(Works in original equation)

8 0
3 years ago
Read 2 more answers
if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn &gt; 5543?
bulgar [2K]

Answer:

  88

Step-by-step explanation:

Write the expression for the sum in the relation you want.

  Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)

  Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)

The relation we want is ...

  Sn > 5543

  35(1.06^n -1) > 5543 . . . . substitute for Sn

  1.06^n -1 > 5543/35 . . . .  divide by 35

  1.06^n > 5578/35 . . . . . . add 1

  n·log(1.06) > log(5578/35) . . . take the log

  n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n

The least value of n such that Sn > 5543 is 88.

3 0
3 years ago
The length of the hypotenuse of a right triangle is 13 m. The length of one leg in 5 cm. find the length of the other leg
VikaD [51]

other leg = 12 cm

using Pythagoras' identity with x as the side to be found, then

x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12


5 0
3 years ago
Can someone give me the answer please
joja [24]
The center is (2,-1) and the radius is 3
3 0
3 years ago
Read 2 more answers
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