Find the slope.
|(3, 2) and (-5,2)

The point (2,-5) will be in the function f⁻¹(x). The solution has been obtained using range and domain.

What is range and domain?

The domain of a function is made up of all input values, and the range is made up of all output values.

We are given that a point (5,-2) is in the function f(x).

We know that the range and domain in the inverse function are the reverse of what is in the original function.

This means that

f⁻¹(x) range = f(x) domain  

f⁻¹(x) domain = f(x) range

So, we get that out of the points, (2,-5) will be in the function f⁻¹(x).

Hence, the point (2,-5) will be in the function f⁻¹(x).

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Answer:

C       139

Step-by-step explanation:

77+62=139

180-41=139

Answer:

it is A 432 cm.3

Step-by-step explanation:

Answer:

Among all shapes with the same area, a circle has the smallest/shortest perimeter.

The value of angle GFH is 18°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

A theorem in circle geometry starts that angle in the same segment are equal. In triangle EFG, angle F and G are on the same segment, this means that angle F and G are equal.

Represent angle F as x

therefore 144+2x = 180° ( sum of angle in a triangle)

2x = 180-144

2x = 36

x = 36/2 = 18°

Therefore the measure of angle GFH is 18°

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Answer:

527-119 is 408

Step-by-step explanation:

the answer is 408

The number of pillows requiring \(\frac{2}{3}\) yards that can be made from \(3\frac{1}{3}\) yards is 5. Thus the right answer to the given question is C.

Material required for making one pillow = \(\frac{2}{3}\) yards

Total material = \(3\frac{1}{3}\) yards

To find the number of pillows made we have to divide the material required for one pillow by the total material available to Kevin for making pillows

Number of pillows = \(3\frac{1}{3}\) ÷ \(\frac{2}{3}\)

=  \(\frac{10}{3}\) ÷ \(\frac{2}{3}\)

To divide two fractions, we take the reciprocal of the second number and multiply it by the first number.

=  \(\frac{10}{3}\) * \(\frac{3}{2}\)

= 5

Thus, the number of pillows made is 5.

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Jackie can choose from 18 different possible outfits consisting of 1 shirt, 1 pair of pants, and 1 pair of shoes.

To determine the number of different possible outfits Jackie can choose, we need to multiply the number of options for each component of the outfit.

Number of colored shirts = 3

Number of pairs of pants = 2

Number of pairs of shoes = 3

To find the total number of outfits, we multiply these numbers together:

Total number of outfits = Number of colored shirts × Number of pairs of pants × Number of pairs of shoes

Total number of outfits = 3 × 2 × 3

Total number of outfits = 18

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Step-by-step explanation:

3a + 2 = 8 ==> a=2

12 + 2 = c ==> c=14

3b + 2 = 2 ==> b=0

3d - e = 15

4d - e = 21

fd - e = 45

------------------

d=6

e=3

f=7

Hope to helpfull

Answer:

B. (10 x 4) + (6 x 2) - 3

Step-by-step explanation:

The answer to the problem is $49

well, we know the angle is a right-angle at Q since FQ ⟂ ED, that can only happen if FD = FE, so we have an isosceles triangle, so then

\(\stackrel{EF}{x^2-5}~~ = ~~\stackrel{DF}{7x-17}\implies x^2-7x-5=-17\implies x^2-7x+12=0 \\\\\\ (x-4)(x-3)=0\implies x= \begin{cases} 3\\ 4 \end{cases}\)

we also know the angle at Q is 90°, so then

\(3y^2+12~~ = ~~90\implies 3y^2=78\implies y^2=\cfrac{78}{3} \\\\\\ y^2=26\implies y=\sqrt{26}\implies y\approx 5.01\)

Answer:

\(

\( \large{\boxed{\sf Hypotenuse = 16.97\ cm }}\)

Hypotenuse=16.97 cm

Step-by-step explanation:

Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .

p

\( \begin{gathered}\sf\qquad\longrightarrow \)

Area =\dfrac{1}{2}(base)(height)\\\end{gathered}⟶Area=21(base)(height)

\( \begin{gathered}\sf\qquad\longrightarrow\)

\( 72cm^2=\dfrac{1}{2}(x)(x)\\\end{gathered} \)

⟶72cm2=21(x)(x)

\( \begin{gathered}\sf\qquad\longrightarrow x^2=\)

144cm^2\\\end{gathered}⟶x2=144cm2

\( \begin{gathered}\sf\qquad\longrightarrow x\)

\( =\sqrt{144cm^2}\\\end{gathered}⟶x=144cm2 \)

\(\sf\qquad\longrightarrow \pink{x = 12cm }⟶x=12cm \)

Hence we may find hypotenuse using Pythagoras Theorem as ,

\( \sf\qquad\longrightarrow h =\sqrt{ p^2+b^2}⟶h=p2+b2 \)

Here p = b = 12cm ,

\( \begin{gathered}\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\\end{gathered} \)

⟶h=(12cm)2+(12cm)2

\( \begin{gathered}\sf\qquad\longrightarrow h \)

\( =\sqrt{144cm^2+144cm^2}\\\end{gathered}\)

⟶h=144cm2+144cm2

\( \begin{gathered}\sf\qquad\longrightarrow h\)

=\sqrt{288cm^2}\\\end{gathered}⟶h=288cm2

\( \sf\qquad\longrightarrow \pink{ hypotenuse=\)

16.97cm }⟶hypotenuse=16.97cm

Hence the hypotenuse is 16.97 cm .

\)

Answer:

$864

Step-by-step explanation:

100-10 = 90/100= 0.9 (multiplier)

1200*0.9= 1080

100-20 = 80/100= 0.8 (2nd multiplier)

1080*0.8= 864

hope this helps

Answer:

900

Step-by-step explanation:

From the information given you can write the following equations:

x+y+z=8500 (1)

5x+6y+8.50z=64600 (2)

y=2x (3)

First, you can replace (3) in (2) and (1):

x+2x+z=8500

3x+z= 8500 (4)

5x+6(2x)+8.50z=64600

5x+12x+8.50z=64600

17x+8.50z=64600 (5)

Now, you have two equations:

3x+z= 8500 (4)

17x+8.50z=64600 (5)

Then, you can isolate z in (4):

z=8500-3x (6)

Next, you can replace (6) in (5):

17x+8.50(8500-3x)=64600

17x+72250-25.5x=64600

7650=8.5x

x=7650/8.5

x=900

You can replace the value of x in (3) to find y:

y=2x

y=2*900

y=1800

Finally, you can replace the value of x in (6) to find z:

z=8500-3(900)

z=8500-2700

z=5800

According to this, the answer is that 900 matinee tickets were sold.

x = 2/3 , 0 .

Question :

\( {3x}^{2} - 2x = 0\)

use quadratic formula :

\(x = \frac{( - b)± \sqrt{ {b}^{2} - 4ac } }{2a} \)

Solution :

\(a {x}^{2} + bx + c = 0 \\ a = 3 \\ b = - 2 \\ c = 0\)

\(x = \frac{ - ( - 2)± \sqrt{ { (- 2)}^{2} - 4 \times 3 \times 0} }{2 \times 3} \\ \\ x = \frac{2± \sqrt{4 - 0} }{6} \\ \\ x = \frac{2± \sqrt{4} }{6} \\ \\ x = \frac{2± 2}{6} \)

separate into two equations :

\(x = \frac{2 + 2}{6} = \frac{4}{6} = \frac{2}{3} .\)

\(x = \frac{2 - 2}{6} = \frac{0}{6} = 0.\)

the values of x are 2/3 and 0 .

Hi,

12.5/100 * 40 = 5

Answer:

x= -3,      x = 1

Step-by-step explanation:

Zeros are values of x, when f(x) = 0.

0=(x+3)(x-1)

x+3 = 0,  x - 1=0

x= -3,      x = 1

Answer:

x = -3, x = 1

Step-by-step explanation:

To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.

In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.

As such, these are your solutions.

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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The contour slope in x at point (2,3) is given by 16.6337+2c cos(2), and the contour slope in y at point (2,3) is given by 0.2397.

In order to find the slope equations for a land parcel with topographic contour, we first need to identify the independent variables involved in the contour equation given.

In this case, the independent variables are x and y.

The slope equation for the variable x can be found by taking the partial derivative of the contour equation with respect to x.

This is given as follows: \($$\frac{\partial z}{\partial x}=2x^3+\frac{y}{x\ln(10)}+2c\cos(x)=f_x(x,y)$$\)

Similarly, the slope equation for the variable y can be found by taking the partial derivative of the contour equation with respect to y.

This is given as follows: \($$\frac{\partial z}{\partial y}=\frac{x}{y\ln(10)}=f_y(x,y)$$\)

Now that we have the slope equations, we can compute the contour slopes in x and y at the point (2,3) as follows:

At point (2,3), x = 2 and y = 3.

Therefore, the slope equation for x becomes: \($$f_x(2,3)=2(2)^3+\frac{3{2\ln(10)}+2c\cos(2)=16.6337+2c\cos(2)$$\)

Similarly, the slope equation for y becomes: \($$f_y(2,3)=\frac{2}{3\ln(10)}=0.2397$$\)

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Answer: Measure of angle 2 + measure of angle 3

Step-by-step explanation:

The expression is equivalent to is Measure of angle 4 is ''Measure of angle 2 + measure of angle 3''.

Given

A triangle has angles 1, 2, 3.

The exterior angle to angle 1 is 4, angle 2 is 5, to angle 3 is 6.

An exterior angle is an angle that is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side.

The,

The measure of the angle 4 is;

The measure of angle 2 + measure of angle 3

Hence, the expression is equivalent to is Measure of angle 4 is ''Measure of angle 2 + measure of angle 3''.

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Answer:

8 hours to clean I think michael and lebron

Answer:

Here’s your answer!

A function gif g(x)

= f(x + 4) + 8 is a translated version of function f(x) by 4 units in the negative direction of the x-axis (shifted left by 4 units) and the entire graph of function f(x) is shifted 8 units upwards.

The 3 main features of a graph of the function gif g(x)

= f(x + 4) + 8 are: Translation (Shift) in x-axis: The entire graph of f(x) is shifted left or right by a distance of c units. If c is negative, the graph is shifted to the right; if c is positive, it is shifted to the left. Translation (Shift) in y-axis: The entire graph of f(x) is shifted upwards or downwards by a distance of k units. If k is positive, the graph is shifted upwards; if k is negative, it is shifted downwards. Affected Points: Every point on the graph of f(x) is shifted left or right by a distance of c units and up or down by a distance of k units to form the graph of the transformed function g(x).In this particular case, f(x) has been shifted 4 units to the left and then the entire graph has been shifted 8 units up.

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1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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To find 1/3 of a line segment, divide the line segment into three equal parts. Measure the length of one of these parts and this will be 1/3 of the line segment.

This can be done by using a ruler or a measuring tape. Alternatively, if the length of the line segment is known, divide it by 3 to find 1/3 of the line segment. For example, if the line segment has a length of 12 inches, then the length of 1/3 of the line segment is 4 inches. If the line segment is curved, you can divide it into three equal arc lengths using a compass.

You can then measure the length of one of these arcs to find 1/3 of the line segment. To make sure that the three parts are equal, you can use the Pythagorean theorem or the triangle inequality theorem. This will help you to accurately divide the line segment into three equal parts.

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Answer:

Step-by-step explanation:

yesssssssssssssssssssssssssssssssssssssv teeeeeeeeeeeeeeeeeee;llllllllllllllllllllllllllllllllllllllll

Answer:A and C

Step-by-step explanation:

Thus, It is possible to visually assess whether a limit exists as x approaches a by looking at the function f (x) and g (x) graphs, which are 1 and 5 when x is very close to x=a.

In mathematics, a limit is the value that a function, a sequence, or an index approaches as an input or an index gets closer to a particular value. Limits are essential to the study of calculus and mathematical analysis since they are used to define continuity, derivatives, and integrals.

Here,

From the function f (x) and g graphs shown here ( x)

1) lim f (x) plus lim g ( x )

= -1 + 2 = 1

2) f (-1) + lim g ( x)

= 3 + 2

= 5

Therefore , the solution of the given problem of limit comes out be 5.

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Answer:

In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant.

hope it helps ;)

The equation of the tangent line at x=0 is y = x.

To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.

Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:

dy/dx = sin(2x^2+π/2)

Now we can evaluate this derivative at x=0:

dy/dx |x=0 = sin(2(0)^2+π/2)

        = sin(π/2)

        = 1

So, the slope of the tangent line at x=0 is 1.

To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).

Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:

y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt

      = 0

Therefore, the point on the tangent line is (0, 0).

Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

Plugging in the values, we have:

y - 0 = 1(x - 0)

Simplifying, we get:

y = x

So, the equation of the tangent line at x=0 is y = x.

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