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algol13
3 years ago
9

Juanita begins to factor an expression as shown. x2+3x−18=(x+)(x−) What numbers should be placed in the boxes from left to right

? 3 and 6 2 and 9 6 and 3 9 and 2
Mathematics
2 answers:
stich3 [128]3 years ago
6 0

Answer:

Option A is the correct answer.

Step-by-step explanation:

Here we need to factorize  x²+3x−18

The coefficient of x is 3 and the constant is -18

Which means

           The sum of factors is 3

           The product of factors is -18

The factors satisfying are  6 and -3

Here the factors are given in the type (x+)(x−)

     So the value after plus is 6 and value after - is 3

Option A is the correct answer.            

bonufazy [111]3 years ago
6 0

Answer:

6 and 3

Step-by-step explanation:

Find two numbers that multiply to equal -18 and add to equal 3

Those two numbers are 6 and -3. From reading left to right in this question, the correct answer would be 6 and 3

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X^{2} - 8x + 7 = 0<br> Solve by completing the square. Also can you include steps?
iren [92.7K]

Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

x^2 - 8x + 16 - 16 + 7 = 0, and then as (x - 4)^2 - 9, or (x - 4)^2 = 9.

We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

6 0
4 years ago
Read 2 more answers
Solve the inequality 3x - 5 &lt; 4.
lbvjy [14]
<span>3x - 5 < 4.

Add 5 to both sides, 
3x < 9

Divide 3 from both sides, 
x < 3

Hope this helps!</span>
6 0
3 years ago
Read 2 more answers
Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a
alexdok [17]
Answer:  Write the expression as:

" 70 \frac{32}{100} +
                         2\frac{1}{10} * 2\frac{7}{10 − 18a " ; 
______________________________________________________
or;  write as:
______________________________________________________
           " 70.32  + (2.1) * (2.7)  − 18a " ; 
______________________________________________________

To simplify:
______________________________________________________

  Using "PEDMAS" (the "order of operations") ; 

the "multiplication" comes first; 

So:  →  "(2.1) * (2.7) =  5.67 " .

And rewrite:
______________________________________________________
 " 70.32  + 5.67 − 18a " .

Now:  " 70.32 + 5.67 = 75.99 " ; 

So, we can the final simplified expression as:
______________________________________________________
   " 75.99  −  18a " ;  

or; write as:  " 75\frac{99}{100}  −  18a " .
______________________________________________________
7 0
3 years ago
Explain please hurry ASAP
Nuetrik [128]

Answer:

x = 4

Step-by-step explanation:

we know that 72 and (2x + 10) add up to 90

90-72 = 18

(2x + 10) = 18

2x = 8

x = 4

6 0
3 years ago
What is (x - 2) ( x - 2) = 0 in standard form
Morgarella [4.7K]

Answer:

x² -4x +4

Step-by-step explanation:

(x-2)(x-2)

x²-2x -2x +4

x² -4x +4

6 0
3 years ago
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