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masha68 [24]
3 years ago
12

If (4x−7)2=ax2+bx+c for all values of x, what is the value of c(b+a)?

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

  -1960

Step-by-step explanation:

The expression on the left expands to ...

  (4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49

Matching coefficients, you have ...

  • a = 16
  • b = -56
  • c = 49

Then the expression c(b+a) evaluates to ...

  49(-56+16) = 49(-40) = -1960

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What is the quotient in simplified form? State any restrictions on the variable. Show Work.
photoshop1234 [79]
    a+2           a +1
= -------  / ------------------
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    a+2           (a - 3)(a - 5)
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What is the value of x in the equation below?
sveta [45]

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1+2e^x+1=9

2e^x+1=9-1

e^x+1= 8/2

e^x+1 = 4

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ln e^x+1 = ln 4

Applicating the log property for exponent:

(x+1).ln e = ln 4

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7 0
3 years ago
Evaluate.
aleksandrvk [35]

Answer: -2 4/15

Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:

3: 3, 6, 9, 12, 15

5: 5, 10, 15


The first common multiple we see is 15.

Calculation:

3 · 3 = 9

9 + 1 = 10

3 1/3 = 10/3

5 x 5 = 25

25 + 3 = 28

-5 3/5 = -28/5

Now to convert into fifteen as the denominator:

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10/3 = 10 x 5/3 x 5 = 50/15

Now to subtract accordingly:

50/15 - 84/15 = -34/15

Final answer: -34/15 (can be reduced to -2 4/15).

3 0
1 year ago
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