PLEASE HELP ASAP !!!! Explain Larissa's mistake using 1-3 complete sentences.
1 answer:
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Part (a):
Before we begin, remember the difference between squares rule which is as follows:
a² - b² = (a+b)(a-b)
Now, for the given we have:
1 - r⁴
This can be rewritten as:
(1)² - (r²)²
We can apply the difference between squares as follows:
(1-r²)(1+r²)
Now, checking the result we reached, we can note that we can apply the difference between squares again on the first bracket.
Doing this, we will reach:
(1-r)(1+r)(1+r²) .............> This is the simplest factored form
Part (b):
The given expression is:
6x² + 7x - 49
This is a polynomial of second degree.
This means that we can use the quadratic formula to get the solutions. The quadratic formula is shown in the attached image
From the expression, we can note that:
a = 6
b = 7
c = -49
Substituting in the formula, we would find that:
either x = 7/3 ...........> This means that the first bracket is (3x-7)
or x = -7/2 .............> This means that the second bracket is (2x+7)
Based on the above, the simplest factored form of 6x² + 7x - 49 is:
(3x-7)(2x+7)
Hope this helps :)
Before we begin, remember the difference between squares rule which is as follows:
a² - b² = (a+b)(a-b)
Now, for the given we have:
1 - r⁴
This can be rewritten as:
(1)² - (r²)²
We can apply the difference between squares as follows:
(1-r²)(1+r²)
Now, checking the result we reached, we can note that we can apply the difference between squares again on the first bracket.
Doing this, we will reach:
(1-r)(1+r)(1+r²) .............> This is the simplest factored form
Part (b):
The given expression is:
6x² + 7x - 49
This is a polynomial of second degree.
This means that we can use the quadratic formula to get the solutions. The quadratic formula is shown in the attached image
From the expression, we can note that:
a = 6
b = 7
c = -49
Substituting in the formula, we would find that:
either x = 7/3 ...........> This means that the first bracket is (3x-7)
or x = -7/2 .............> This means that the second bracket is (2x+7)
Based on the above, the simplest factored form of 6x² + 7x - 49 is:
(3x-7)(2x+7)
Hope this helps :)
There are 25 $10 bills and 11 $20 bills.
Step-by-step explanation:
Given,
Worth of proceeds from garage = $470
Let,
x be the number of $10 bills
y be the number of $20 bills.
According to given situation;
10x+20y=470 Eqn 1
x = y+14 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
Dividing both sides by 30
Putting y=11 in Eqn 2
There are 25 $10 bills and 11 $20 bills.
Keywords: linear equation, substitution method
Learn more about linear equations at:
#LearnwithBrainly