Find the inverse of the function f(x) = 2x - 4.
O
8(x) = -1/x--1/4
O
8(x) = -x-1-1/
O g(x) = 4x + 2
O
1
g(x) = = x + 2

87.5

25x7=175

175/2=87.5

Answer:

  x⁷y⁷

Step-by-step explanation:

An exponent signifies the base is a repeated factor in the product. The exponent is the number of times it is a factor.

__

The term (xy)^7 means (xy) is a factor 7 times:

  = (xy)·(xy)·(xy)·(xy)·(xy)·(xy)·(xy)

The commutative and associative properties of multiplication let us rearrange this to ...

  = (x·x·x·x·x·x·x)·(y·y·y·y·y·y·y)

  = (x^7)(y^7)

The expression can be simplified to ...

  [tex](xy)^7 =\boxed{x^7y^7}[/tex]

_____

The rule of exponents is ...

  (ab)^c = (a^c)(b^c)

Answer: [tex]\displaystyle d=\sqrt{53}[/tex]

Step-by-step explanation:

   We will use the distance formula to solve. See attached and view the work below.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]\displaystyle d=\sqrt{(5-3)^2 +(11-4)^2}[/tex]

[tex]\displaystyle d=\sqrt{(2)^2 +(7)^2}[/tex]

[tex]\displaystyle d=\sqrt{4+49}[/tex]

[tex]\displaystyle d=\sqrt{53}[/tex]

   Since 53 is prime, this is the simplest form. Since it asks for an exact answer, we are done.

Answer: C.

Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.

If all five coins land heads, the expected will 1. The probability that all five coins land heads is 1/32

This is the likelihood or chance that an event will occur. Mathematically;

Probability = expected/total

If you toss five fair coins, the total outcome will be:

T = 2^5
T = 32

If all five coins land heads, the expected will 1. The probability that all five coins land heads is 1/32

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Answer:

x-intercept: (4, 0), (-5, 0)

y-intercept: (0, -20)

Explanation:

Their x-intercept:    (at x intercept, y will be 0)

Their y intercept:   (at y intercept, x will be 0)

Answer:

Step-by-step explanation:

Finding x-intercept(s)

Finding y-intercept

Answer:

a

Step-by-step explanation:

raise to five

less than

ten times

Answer:

the answer is down below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the nth tern equation of the AP

We have

Find the value of d

Correct choice is a)

Now

Step-by-step explanation:

Formula:

[tex]v = \pi \:r {}^{2} \:h[/tex]

radius is 4.5 because 9÷2=4.5

so it would be

[tex]v = \pi \times \:4.5^{2} \times 7[/tex]

volume = 445.3 units³

The equation of a line that is passing through the points (0, 4) and (1, 6) will be y = 2x + 4.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A coordinate plane. The x-axis and y-axis are each scaled by one.

A graph of a line goes through the points (0, 4) and (1, 6) will be

The equation of a line that is passing through the points (0, 4) and (1, 6) will be

y - 4 = [6 - 4 / 1 - 0] (x - 0)

y - 4 = 2x

    y = 2x + 4

The graph is given below.

More about the linear system link is given below.

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Answer:y=x-5

Step-by-step explanation:

khan academy

Answer:

It's 5912

Step-by-step explanation:

It's 5912 cause 5912 is the answer.

Answer:

cupboard is 1.2 m wide.

Will a stick 1m 5cm long fit across the cupboard?

Give reasons for your answer

Answer:

106º

Step-by-step explanation:

Because both the base angles are 74º. The known angles so far are 148º.

The top angles also have to be equal as they are on parallel lines so:

360 - 148 = 212º

212 / 2 = 106º

Answer:

x = 106 degrees

Step-by-step explanation:

74 plus 74 = 148

360 is the interior angle sum of all trapezoids

360-148=212

212 is the sum of both x and y

x and y are the same measure.

212/2 = 106

Answer:

a point

a line

a line segment

a ray

and an angle in a triangle

Step-by-step explanation:

Answer:

V= volume of cone A=Ah A= πr2

A= area of base 3

H= height

V= (3.1416)(16)(15) 3.1416x16x15= 753.9

3

V= 753.9 753.9÷3= 251.3 cu. in

3

Volume of the cone is 251.3 cu. in

I hope this helps you. Good luck!

For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k). The vertex is found by (x, y).

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form.

It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

First of all, we used this vertex formula thing since it is visible that there are quadratic functions.

Otherwise, you had to use calculus to get critical points, then a second derivative of functions to find the character of critical points as minima or maxima or saddle, etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that the quadratic equation represents.

For the form

[tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)

Thus, for the obtained form, we get the coordinates of the vertex as:

[tex]h = -b/2a,, \\ k = c - a\times(b/2a)^2[/tex]

Thus, the coordinates of vertex of  [tex]y = ax^2 + bx + c[/tex]is:

[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]

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Answer:

An angle inscribed in a circle is half of the central angle 2 that subtends the same arc on the circle, according to the inscribed angle theorem. As a result, the angle does not change as the vertex of the circle is moved around.

Step-by-step explanation:

The option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

A group of researchers wants to determine whether the type of psychotherapy has an effect on the number of PTSD symptoms in refugees.

As we can see in the problem, there are three treatment conditions are given.

Alternative hypothesis H₁: Not all means are equal

[tex]\rm H_0: \mu_1\neq \mu_2\neq \mu_3[/tex]

Thus, the option u1 =/ u2 =/ u3 is correct if the researcher randomly assigns 60 people to 1 of the 3 treatment conditions.

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The students will colour the 1/8th part of the sheet given to them by their teacher.

The fraction is defined as the division of the whole part into an equal number of parts.

Given that:-

Now the sheet student have =  1 / 2

Students will colour 1/4th of the sheet they have = ( 1/2  x  1/4 )

= 1 / 8

Therefore the students will colour the 1/8th part of the sheet given to them by their teacher.

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Answer

Step-by-step explanation:

easy

can you upload a less blury picture

Answer:

  (-3/2, 0)

Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates.

  M = (A +B)/2

__

For end points A(-5, 5) and B(2, -5), the midpoint is ...

  ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2 = (-3/2, 0)

The midpoint of the segment is (-3/2, 0).

Answer:

1) (I) 1/4,  2) (B) 11/20,  3) (G) 3/20,  4) (C) 4/5

Step-by-step explanation:

Probability is Desired Outcome/All Possible Outcomes. For the first problem, we want apples, which is 25. Altogether though, there are 100 options. So, we get 25/100 or 1/4. For the second, oranges and grapes together (because either would be a desired outcome) are 55. So, we have 55/100, or 11/20. For the third, apples and oranges, the max can be 15, because that's how many total oranges (the lesser of the two) and you can't have anything other than that. So, we get 15/100 or 3/20. Finally, we're looking for everything but bananas, which is 100-20, or 80. For that, we get 80/100 or 4/5.

Hope this helped!

Answer:
Question 1: The Students favorite fruit is an apple is 1/4
Question 2: 3/20

Question 3: 2/5
Question 4: 4/5

Step-by-step explanation:

* All of the fruits equal up to 100, so 25 percent of 100 is 1/4 or 0.25
* Do 100/55. It should give you 5.8181818181818181818181818181818 which would be at least 3/20 because it is closer to 1.
* 25+15=40. 2/5=0.4 which is 40% of 100.

Answer:

20%

Step-by-step explanation:

Given/To Find:

A $52.50 screen door is on

sale for $42. Find the percent

of discount on the door.

Solve:

Formula: Value 1 - Value 2 ÷ Original Value × 100

Hence we have:

52.50 - 42 = 10.5

10.5 ÷ 52.50 = 0.20

0.20 × 100

=20%

Check Answer:

52.50 × 20% = 10.5

52.50 - 10.5 = 42

Hence, the percent of discount on the door is 20%

Kavinsky

Answer:

C = [tex]12\pi m[/tex]

A = [tex]36\pi m^2[/tex]

Step-by-step explanation:

I'm going to assume that the radius is 6m. The circumference of a circle is [tex]C = 2r\pi[/tex]. So we can plug in 6 for r and we get the circumference is [tex]12\pi m[/tex].

For area, the equation is [tex]A = \pi r^{2}[/tex]. So we can again plug in 6 for r and we get that the area is [tex]36\pi m^2[/tex].

If 6m is the diameter, then the circumference is [tex]6\pi m[/tex] and the area is [tex]9\pi m^2[/tex].

Answer:

Step-by-step explanation:

Height = h = 18 m

Radius = r = 19 m

Volume of cylinder:

[tex]=\pi r^2h[/tex]

[tex]=(3.14)(19)^2(18)[/tex]

[tex]=(3.14)(361)(18)[/tex]

[tex]=20403.72[/tex] [tex]m^3[/tex]

According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.

The sound intensity (L), in decibels, is the intensity of a sound relative to a reference value, whose formula is described below:

L = 10 · ㏒ (I/I')

Where:

If we know that L = 70 dB and I' = 1 × 10⁻¹² W/m², then the sound intensity is:

70 = 10 · ㏒ (I/10⁻¹²)

10⁷ = l/10⁻¹²

I = 10⁻⁵ W/m²

According to the standard sound intensity model, the intensity of a 70-dB sound is equal to an amount of 1 × 10⁻⁵ watts per square meter.

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Answer:

2x to the 4th power

Step-by-step explanation:

Hope this helps

Answer:

  f(x) = 4·sin(2/7x) +1

Step-by-step explanation:

The sinusoidal function y = a·sin(kx) +b will have cross its midline at (0, b), and a peak value of (x, y) = (π/(2k), a+b). We can use these facts to find the values of a, k, and b for the sinusoidal function.

__

  (0, b) = (0, 1)   ⇒   b = 1

  (7π/4, 5) = (π/(2k), a+1)

This gives rise to two equations:

  7π/4 = π/(2k)

  k = π/(2(7π/4)) = 2/7

and

  a+1 = 5

  a = 4

Using the found values for the parameters of the function, we have ...

  f(x) = 4·sin(2/7x) +1