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gtnhenbr [62]
3 years ago
6

Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.

Mathematics
2 answers:
erastova [34]3 years ago
6 0

Answer:

  • 81x² - 12, no as 12 is not a perfect square
  • x^2 + 25, no as it is a sum of squares
  • 4x^2 - 25, yes
  • 9x^2 - 16, yes
  • x^2 - 50, no as 50 is not a perfect square
  • x^2 - 81, yes
  • x^2 - 100, yes
boyakko [2]3 years ago
3 0

Answer:

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:

can be factored as follows:

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.

i.e.  

which can be factored as follows:

.

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Please help 15 points
Gwar [14]

Answer:

46/100

Step-by-step explanation:

The decimal reaches a point into the hundreths.

<em>kiniwih426</em>

5 0
2 years ago
Read 2 more answers
a red car is traveling 15 miles per hour faster than a blue car. if the red car travels 180 miles in the time needed for the blu
vlabodo [156]
Their distance differs by 15 miles for each hour of travel time. Thus, the travel time of interest is
.. (180 -144) miles/(15 miles/hour) = 2.4 hour

The red car's speed is 180 mi/(2.4 h) = 75 mi/h.
The blue car's speed is 144 mi/(2.4 h) = 60 mi/h.
5 0
2 years ago
Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression −2(3)^n − 1.
Kazeer [188]
The sum if the geometric sequence given by:
an=-2(3)^(n-1)
will be:
when:
n=1
an=-2
when n=2
a2=-6
when n=3
a3=-18

when n=4
a4=-54

when n=5
a5=-162

when n=6
a6=-486

when n=7
a7=-1458

when n=8
a8=-4374

thus the summation of the term will be:
Sn=(-4374+-1458+-486+-162+-54+-18+-6+-2)
Sn=-6560
the answer is -6560

6 0
3 years ago
Identifying Possible Triangles
Masja [62]

Answer:

3rd triangle can be constructed with dimensions 2,6,7.

Step-by-step explanation:

sum of any two sides > third side.

difference of any two sides < third side

1.

8+5=13 not >14 (no triangle.)

2.

7+8=15 not >15 (no triangle)

3.

2+6=8>7

2+7=9>6

7+6=13>2

7-2=5<6

7-6=1<2

6-2=4<7

so it is a triangle.

4.

6+3=9 not >10 (not a triangle)

5 0
2 years ago
A car rental costs $32 as a base fee, plus $28 per day. Use the explicit rule f (n )= 28n + 32
alexdok [17]

Answer:

The charges paid for the first four days are:

  • <u>$144</u>.

Step-by-step explanation:

To obtain the charges paid for the first 4 days, you must use the given explicit rule given:

  • f (n) = 28n + 32

Where:

  • <em>n = Number of days the person rents the car.</em>

As we need to obtain the charges to 4 days, we replace this value in the explicit rule:

  • f (n) = 28n + 32
  • f (4) = 28(4) + 32
  • f (4) = 112 + 32
  • <u>f (4) = 144</u>

With these calculations, <u>you can identify the charges paid for the first 4 days are $144</u>, <em>where $112 is the money by each day of the four days and $32 is the base fee</em>.

3 0
3 years ago
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