Which function below is the inverse of f(x) = 7x-1/2

Answers

Answer 1
Answer: F(x)=7x-1/2
 Add the half to the other side afeterreplacing f(x) with a zero
 1/2=7x divide by 7
7/2=x, when y=0

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Solve for the roots in simplest form using the quadratic formula: 4x2+20x=-29

Answers

To solve the quadratic equation 4x^2 + 20x = -29 using the quadratic formula, we can first rearrange the equation to bring all terms to one side:

4x^2 + 20x + 29 = 0

Now we can identify the coefficients a = 4, b = 20, and c = 29 in the general quadratic equation ax^2 + bx + c = 0. Applying the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values for a, b, and c into the quadratic formula:

x = (-(20) ± √((20)^2 - 4(4)(29))) / (2(4))

Simplifying further:

x = (-20 ± √(400 - 464)) / 8

x = (-20 ± √(-64)) / 8

x = (-20 ± 8i) / 8

Now, we can simplify the expression:

x = -20/8 ± (8i)/8

x = -5/2 ± i

Therefore, the roots of the given quadratic equation are:

x = -5/2 + i

x = -5/2 - i

Help?!? will give a medal! Find the area of a circle with a diameter of 22 inches. Use 3.14 for pi.

379.94 in2

452.16 in2

527.52 in2

621.72 in2

Answers

The formula for area of a circle is:

A = πr^2

where A is the area and r is the radius which is half the diameter.

Let's plug in values we know and solve:

A = 3.14(11 in)^2

A = 3.14(121 in^2)

A = 379.94 in^2

Answer:

the Answer is A i just took the test


Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.

Answers

Answer:

The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.

Step-by-step explanation:

We know that,

The parent function is g(x)=|x|.

Now, g(x) is transformed to the function f(x)=|x-1|-2.

That is, we see that,

g(x) is translated 1 unit to the right, which gives |x-1| and then it is translated 2 unit downwards, which gives f(x).

So, we get,

The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.

Final answer:

The function ƒ(x) = |x - 1| - 2 has two transformations. It has a horizontal shift to the right by 1 unit and a vertical shift down by 2 units.

Explanation:

The function ƒ(x) = |x - 1| - 2 is a transformation of the basic absolute value function which is |x|. This function is undergoing a shift. Specifically, it is encountering two types of transformation. The |x - 1| part implies the graph of the function is shifted to the right by 1 unit. And the -2 at the end of the function suggests that the graph is shifted downwards by 2 units. Thus, the function ƒ(x) = |x - 1| - 2 illustrates a horizontal shift to the right by 1 unit and a vertical shift downwards by 2 units.

Learn more about Function Transformation here:

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write the equation of the line, in slope- intercept form, that passes through (0,4) and has a slope of -1/2

Answers

y=-1/2x+4 since the slope is -1/2 and the y-int is 4.

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Answers

y = kx ⇒ k = y/x = 2/(-3) = -2/3

Answer: k = -2/3

14. Sixteen is the same as the quotient of a number and 12.

Answers

Answer:

16 = n/12

Step-by-step explanation:

16 = n/12