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3 years ago

Is the inverse of the function shown below also a function?

Mathematics

1 answer:

ycow [4]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Yes. Here's why: We can obtain the graph of the inverse of the function shown by reflecting the red graph about the line y = x. The resulting graph is true for all x values and for all y values; it passes the vertical line test.

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Will reward brainliest!

Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is $17+3 x^{2}=6 x$

Subtracting 6x from both sides, we have,

$3x^{2} -6x+17=0$

Solving the equation using quadratic formula,

$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

Simplifying the expression, we get,

$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

Taking out the common terms and simplifying, we have,

$\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}$

Dividing by 3, we get,

$x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}$

Hence, the equation has two irrational solutions.

8 0

3 years ago

A) What is the y-intercept of y = 3x ?<br> (b) What is the slope of y = -x - 2 ?

JulijaS [17]

Answer:Q. How would you write the equation with a slope of 2/3 and a y-intercept of -3. answer choices. y=3/2x+3. y=2/3-3. y=2/3x-3. y=2/3x+3. Tags: Question 11.

Step-by-step explanation:

THATS IT I THINK sorry caps

5 0

3 years ago

Read 2 more answers

Solve 3(x - 2) < 18.<br> Please help me

lakkis [162]

Answer:

x > 8

Step-by-step explanation:

I hope this helps you out!

4 0

2 years ago

Read 2 more answers

Using the distance formula, calculate how far Tre threw the ball. (4 points: 2 points for setup, 1 for calculation, 1 for the an

sergij07 [2.7K]

Answer:

$D = 63.717$

Step-by-step explanation:

The details that complete the question are:

$(x_1,y_1) = (0,42.78)$

and

$(x_2,y_1)=(90,42.78)$

Required

Determine how far the ball travelled

Distance is calculated using:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute values for x's and y's

$D = \sqrt{(42.78 - 0)^2+(42.78-90)^2}$

$D = \sqrt{42.78^2+(-47.22)^2$

$D = \sqrt{1830.1284+2229.7284$

$D = \sqrt{4059.8568$

$D = 63.717$

<em>Hence, the ball travelled a distance of 63.717 units</em>

6 0

3 years ago

What is the slope of this equation please help me

galina1969 [7]

The slope is always change in y value over change in x value so if you pick any 2 points on the line you’ll see that the slope is 30/40 and that simplified is 3/4 so the slop is 3/4

4 0

3 years ago