Given the function(x)=5x+4, find its inverse

Answers

Answer 1

Answer: the inverse is the reflection across the identiy line, the y=x line basically switch x and y and solve for y f(x)=5x+4 y=5x+4 swtich x=5y+4 solve for y x-4=5y (x-4)/5=y finverse=(x-4)/5

Answer 2

Answer: Make the function, f (x) into y. Then switch the variables y and x and solve for y : (x-4)/5

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A circle has a radius of 5 meter. What is the length of the arc that is captured by a central angle that measures 120 degrees? Round your answer to the nearest tenth.a) 3.33 meters
b) 31.42 meters
c) 10.47 meters
d) 2.09 meters

Answers

The length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.

What is an arc?

Arc is the measure of the angle on the circumference of a circle.

Length of an Arc = θ × (π/180) × r

Here,
The length of an arc of a circle with radius r and central angle θ (in radians) is given by the formula:

Length of arc = r × θ

To use this formula, we need to convert the given central angle of 120 degrees to radians:

θ = (120/180) × π = 2/3 × π

Now, we can substitute the given values into the formula to get the length of the arc:

Length of arc = 5 × (2/3 × π) = (10/3) × π ≈ 10.47 meters

Therefore, the length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.

Learn more about arcs here:

brainly.com/question/29218755

#SPJ3

Well, the formula for the length of an arc is;
n⁰ × 2πr
360
Where; n⁰ is the angle
π is pie, which is 22/7 or 3.143 approximately
and r is the radius

Anyway, according to the question;
n⁰ is 120⁰
and r is 5 meters. And as you know, the pie is 22/7. So that will be

120⁰/360 x 2 x 22/7 x 5
And that will give you 10.47metres. Which is approximately 11 metres. Hope i helped, have a nice day

Please help me with the question below! its due in 10 minutes!
thank you sm!

Answers

Answer:

To find the composite function (f ◦ g)(x), we need to substitute g(x) into f(x) and simplify.

Given:

f(x) = x

g(x) = -2x + 3

To find (f ◦ g)(x), we substitute g(x) into f(x):

(f ◦ g)(x) = f(g(x))

Substituting g(x) into f(x), we get:

(f ◦ g)(x) = f(-2x + 3)

Since f(x) = x, we replace f(-2x + 3) with (-2x + 3):

(f ◦ g)(x) = -2x + 3

Therefore, the composite function (f ◦ g)(x) is -2x + 3.

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.A. y = one divided by twenty eightx2
B. x = one divided by twenty eighty2
C. -28y = x2
D. y2 = 14x

Answers

I think the best answer among the choices is B. x = one divided by twenty eighty2, hope that helps you

Which equation is true for x = –6 and x = 2?2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0

Answers

we know that

using a graph tool

let's proceed to graph each case to determine the roots

case 1) $2x^(2) - 16x + 12 = 0$

the roots are

$x1=0.8\ x2=7.2$ ------> is not the solution

see the attached figure N $1$

case 2) $2x^(2) +8x -24 = 0$

the roots are

$x1=-6\ x2=2$

see the attached figure N $2$ --------> is the solution

case 3) $3x^(2) - 4x - 12 = 0$

the roots are

$x1=-1.4\ x2=2.8$ ------> is not the solution

see the attached figure N $3$

case 4) $3x^(2) +12x +36 = 0$

the graph does not have x-intercepts

see the attached figure N $4$ ------> is not the solution

therefore

the answer is

the solution is

$2x^(2) +8x -24 = 0$

Second statement 2x2 + 8x – 24 = 0 Is true for the given conditions. When x = -6 2x2 + 8x – 24 = 0 Becomes 2(-6)2 + 8(-6) – 24 = 0 2(36) - 48 - 24 = 0 72 - 48 - 24 = 0 0 = 0 Which is true. When x = 2 2x2 + 8x – 24 = 0 Becomes 2(2)2 + 8(2) – 24 = 0 2(4) + 16 - 24 = 0 8 + 16 - 24 = 0 0 = 0 Which is true. So 2x2 + 8x – 24 = 0 will be answer.

HELP! i don’t understand at all

Answers

Answer:

m∠TYW = 93°

Step-by-step explanation:

When naming anangle, the three letters used in the name represent specific points or vertices that define the angle. Each letter has a distinct meaning:

First Letter (Initial Point): This represents the starting point for one of the rays or line segments that form the angle.
Second Letter (Vertex): This represents the point where the two rays or line segments that form the angle meet.
Third Letter (Terminal Point): This represents the terminal point, which is the endpoint for the other ray or line segment that forms the angle.

Therefore, the angle named "VYU" refers to an angle that starts at point V, has a vertex at point Y, and ends at point U. This is shown on the attached diagram in red. Given m∠VYU = 93°:

m∠VYU = m∠6 = 93°

The angle named "TYW" refers to an angle that starts at point T, has a vertex at point Y, and ends at point W. This is shown on the attached diagram in blue.

m∠TYW = m∠4

Assuming that lines TU and VW are straight lines, ∠6 and ∠4 are vertically opposite angles.

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Therefore, ∠4 ≅ ∠6, so:

m∠TYW = m∠VYU

As m∠VYU = 93°, then m∠TYW = 93°.

Answer:

VYW and TYW are opposite interior angles and thus have the same value of 93 deg.

Given f(t)=t to the power of 4 +t² -5, find the value of f(b) - f(-b)

Answers

$f(t)=t^4+t^2-5\n \n f(b)-f(-b)=b^4+b^2-5-[(-b)^4+(-b)^2-5]\n \n f(b)-f(-b)=b^4+b^2-5-b^4-b^2+5\n \n \boxed{f(b)-f(-b)=0}$

$f(b)-f(-b)=b^4+b^2-5-((-b)^4+(-b)^2-5)\n f(b)-f(-b)=b^4+b^2-5-(b^4+b^2-5)\n f(b)-f(-b)=b^4+b^2-5-b^4-b^2+5\n f(b)-f(-b)=0$

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