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3 years ago

Seth solved a quadratic equation. His work is shown below, with Step 3 missing.

Mathematics

1 answer:

Lyrx [107]3 years ago

3 0

Answer:

|x - 1| = 6

Step-by-step explanation:

After step 2, we have that:

(x - 1)^2 = 36

and after step 4, we have the results:

x = -5 or x = 7

After step 2, what we can do in step 3 is: use square root in both sides of the equation:

|x - 1| = 6

This equation can be split in two:

x - 1 = 6 -> x = 7

x - 1 = -6 -> x = -5

So Seth could write this equation in step 3:

|x - 1| = 6

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The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

SpyIntel [72]

The equation of the new function is $g(x)= cos4 x+1$

Explanation:

The Parent function is $f(x)=cos x$

We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.

The function transformation formula is given by

$f(x)=a \cos b(x-c)+d$

Where a stretches the function vertically

b compresses or stretches it horizontally,

c shifts the function left or right

d shifts the function up or down

Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.

Hence, $b=4$ and $d=1$

Substituting these values in the formula, we have,

$g(x)=cos4x+1$

Thus, the equation of the new function is $g(x)= cos4 x+1$

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3 years ago

What is (9^4)^2?<br> And what is (6^1)^0?

Alexandra [31]

Answer:

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Step-by-step explanation:

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3 years ago

Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x − 6) B. (x + 2) C. (x − 4) D. (x + 3)

svet-max [94.6K]

Step-by-step explanation:

x2 - 7x + 12

Finding factors of 12

x2 - 4x - 3x + 12

x(x - 4) - 3(x - 4)

(x-4) (x-3) are the factors

Option C is the correct answer

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3 years ago

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2 years ago

Find x if m ∠ GHI = 173°, m ∠ GHQ = 29 + x, and m ∠ QHI = x + 162.

Kamila [148]

Answer:

Step-by-step explanation:

Given the following angles;

m ∠ GHI = 173°

m ∠ GHQ = 29 + x

m ∠ QHI = x + 162

The following expression is true for the three angles;

m ∠ GHI = m ∠ GHQ+ m ∠ QHI

substitute the given values into the formula and calculate x

173 = 29+x+x+162

173 = 29+162+2x

173 = 191+2x

2x = 173 - 191

2x = -18

x = -18/2

x = -9

Hence the value of x is -9

8 0

3 years ago