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OlgaM077 [116]
3 years ago
15

Complete the steps to factor 56x2 – 8x – 7x + 1 by grouping. group pairs of terms with common factors. (56x2 – 8x) + (–7x + 1) f

actor the gcf from each group. 8x(7x – 1) –1(7x – 1) use the distributive property. what is the factorization of the polynomial? (8x – 1)(7x – 1) (8x + 1)(7x – 1) (8x + 7x)(1 – 1)
Mathematics
2 answers:
ra1l [238]3 years ago
7 0

Answer: (8x – 1)(7x – 1)

Thepotemich [5.8K]3 years ago
4 0
<span>(8x-1)(7x-1) The question leaves you with the partially factored equation: 8x(7x-1) - 1(7x-1) Now if you look at the partially factored equation, you'll see that both terms have (7x-1) as one of their factors. So let's take that (7x-1) as a factor and divide both terms by (7x-1), giving us (8x(7x-1) - 1(7x-1)) / (7x-1) The (7x-1) factors cancel out, leaving us with (8x - 1) So our 2 factors are (7x-1) and (8x-1). Looking at the available options, the only correct one is (8x-1)(7x-1)</span>
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If X^2= 3+2√2 what is the value of √x+1/√x
Nikolay [14]

Step-by-step explanation:

Let √x - 1/√x = a

Squaring both the sides,

x + 1/x - 2 = a^2

Putting the value,

3–2√2 + 1/(3–2√2) - 2 = a^2

a^2 = 1 - 2√2 + 1/(3–2√2)

= [(3–2√2) (1–2√2) + 1] / 3–2√2

= {3 - 8√2 + 9} / 3–2√2

= [12 - 8√2] / 3–2√2

Rationalising both the sides

= {(12 - 8√2)(3+2√2)} ÷ (9–8)

= 36 + 24√2 - 24√2 + 16(2)

= 36 - 32

=> 4

a^2 = 4

a = √4

a = 2, -2

So,

√x - 1/√x = a = 2, -2.

5 0
3 years ago
3. Represents the sets with a Venn diagram: U = {1,2,3,4,5,6,7,8,9, 10, 11, 12} A = {1,2,3,4,6, 12} B = {1,2,4,8}
damaskus [11]

Answer:

See explanation and picture attached

Step-by-step explanation:

A set can be described by<em> listing all of its elements</em>.  

For example, A = { 2, 4, 6, 8}, which we read as  

“A is the set whose elements are 2, 4, 6 and 8”.  

The four elements of the set are separated by commas, and the list is enclosed between curly brackets.  

A <em>set can also be described by writing a description of its elements</em> between curly brackets.  

Thus the set A above can also be written as  

A = { even natural numbers less than 9 }, which we read as  

“A is the set of even natural numbers less than 9”.  

A set can also be described graphically by using Venn diagrams, which are simply circle shaped drawings showing the elements inside.

In our case U={1,2,3,4,5,6,7,8,9,10,11,12} A={1,2,3,4,6,12} B={1,2,4,8}

See picture attached for the answer.

8 0
3 years ago
The graphs show the amounts in two different bank accounts over several months.
Neko [114]

Answer:

where are the graphs?

Step-by-step explanation:

3 0
3 years ago
Complete the table of inputs and outputs for the given function g(x) = 3 - 8x
NeX [460]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the input and output values are not given. However, the question can still be solved by assuming both values</em>

Given

g(x) = 3 - 8x

In this case;

x represents the input while g(x) represents the output

Now, assume x = 2; Determine the output.

Here we simply substitute 2 for x in the above expression

i.e.

g(x) = 3 - 8x becomes

g(2) = 3 - 8(2)

g(2) = 3 - 16

g(2) = -13

Similarly, if x = 5

g(5) = 3 - 8(5)

g(5) = 3 - 40

g(5) = -37

Also, let's assume g(x) = -21; Determine the input

g(x) = 3 - 8x becomes

-21 = 3 - 8x

Solve for x

-21 - 3 = -8x

-24 = -8x

x = \frac{-24}{-8}

x = 3

7 0
4 years ago
If something is scarce is it generally
kumpel [21]
As per the definition of scare, if something is scare, it is generally hard to find, limited or finite.
(Any of those three terms describe it)
7 0
3 years ago
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