Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 − 2.5 y 2 + z 2 z ( x − y ). Evaluate f\left(2,3,1\right)f ( 2 , 3 , 1 ). Round your answer to two decimal places.

Answers

Answer 1

Answer:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]

Step-by-step explanation:

Given the function:

[tex]f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}[/tex]

To find:

The value of [tex]f(2, 3, 1)[/tex] = ?

Solution:

[tex]f(2, 3, 1)[/tex] means the values of [tex]x, y\ and\ z[/tex] as:

[tex]x=2\\y=3\\z=1[/tex]

Let us put the given values in the given function and let us solve for it:

[tex]\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}[/tex]

Therefore, the answer is:

[tex]f\left(2,3,1\right)=\bold{14}[/tex]


Related Questions

(-3x10^4) x (2x10^-3)

Answers

Answer:

-600

Step-by-step explanation:

(-3*10⁴) * (2*10^-3)

= (-3*10000) * (2*0.01)

= (-30000) * (0.02)

= -600

So, the answer should be -600

Hope this helps!

Answer:

-60

Step-by-step explanation:

(-3 * 10⁴) * (2 * 10⁻³ ) = -3 * 2 * 10⁽⁴⁻³⁾

                                = -6 * 10¹

                                =  -60

In  exponent multiplication, if base are same, then add the powers.

F (x)= 3x^2+4
G (x) = 2x^2 – 3x+1
H (x) = -4x^2 + 8x

Find G (x) H (x)

Show your work

Answers

Answer: -8x^4+28x^3-28x^2+8x

two sides of a triangle have lengths 6 and 17 which inequalities represent the possible lengths for the third side, x?

Answers

Answer:

¿Sigues regalando puntos gratis? como, avísele a una hermana !!

Step-by-step explanation:

to ng

pls help with this problem!

Answers

Answer:

x interpret: (20,0)

y interpret: (0,8)

Step-by-step explanation:

To find the x-intercept, set y = 0

To find the y-intercept, set x = 0

i feel like this is easy but i dont know where to start

Answers

Answer:

I believe it'll be 38

Step-by-step explanation:

hope it helps

Answer:

i think you just need to find the angle on M and P

Step-by-step explanation:

Yesterday, Grace's Doughnut Shop sold 1/2 as many chocolate doughnuts as cinnamon doughnuts. If they sold 4 trays of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

4 1/2

Step-by-step explanation:

Joey and Doug hung out at the mall on Saturday. They spent 1-hour shopping for clothes and 1 hour and 30 minutes at the food court. Then they spent 30 minutes at the video arcade before heading home. It was 2:45 P.M. when Joey and Doug left the mall. What time did they start shopping for clothes?

Answers

Answer:

They started shopping for cloths at 11:45 AM

Step-by-step explanation:

First of all we have to calculate the whole time that they spent in the mall starting from shopping.

They spent 1 hour on shopping, 1 hour and 30 minutes at food court and 30 minutes in video arcade which makes:

[tex]1 + 1.5+ 0.5 = 3\ hours[/tex]

as 30 minutes is equal to half hour so we used 0.5 in place of it.

Now we know that they left at 02:45 PM. We have to see what time it was 3 hours ago.

[tex]02:45\ PM - 03:00 = 11:45\ AM[/tex]

Hence,

They started shopping for cloths at 11:45 AM

PLS HELP! Shana is at the grocery store comparing two bottles of juice. The first bottle of juice is 16 ounces and costs $3.84. The second bottle of juice is 25 ounces and costs $4.50.

Which bottle of juice is the better price?

What is the claim???

Answers

The second one is better because u are getting more for a better price

please help me with this problem​

Answers

Answer:

The measures of angles A, B, and C are respectively 21°, 125°, and 34°

Step-by-step explanation:

Equations

We are given some conditions applying to the internal angles on a triangle ABC.

The measure of angle A is 13 less than the measure of angle C.

The measure of angle B is 11 less than 4 times the measure of angle C

Let x = measure of angle C

The first conditions states:

[tex]m\angle A = x-13[/tex]

The second conditions states:

[tex]m\angle B = 4x-11[/tex]

The sum of all angles must be 180°, thus:

[tex]x - 13 + 4x - 11 + x = 180[/tex]

Simplifying:

6x -24 = 180

Adding 24:

6x = 204

Dividing by 6:

x = 204/6

x = 34

[tex]m\angle C = x = 34^\circ[/tex]

[tex]m\angle B = 4x-11 = 4*34-11 = 125^\circ[/tex]

[tex]m\angle A = x - 13 = 34 - 13 = 21^\circ[/tex]

The measures of angles A, B, and C are respectively 21°, 125°, and 34°

What are the domain and range of f(x) = -28? a Domain: All real numbers greater than or equal to -28. Range: All real numbers b Domain: {-28} Range: All real numbers c Domain: All real numbers Range: All real numbers greater than or equal to -28 d Domain: All real numbers Range: {-28}

Answers

Answer:

D

Step-by-step explanation:

this equation is equivalent to y = -28, which is horizontal so it has a slope of 0

The domain and range of the function f(x)=28 is Domain: All real numbers Range: {-28}. The correct option is D.

What are the domain and range of a function?The domain is the set of values for which the given function is defined.The range is the set of all values which the given function can output.

The given function f(x)=-28 has a domain of all real numbers because the function can take any value of x. But, the range of the function is only -28. This is because for any input(x) the value of the function will remain the same which is equal to -28.

Hence, the domain and range of the function f(x)=28 is Domain: All real numbers Range: {-28}.

Learn more about Domain and Range here:

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-7 1 11 10 29
6 3 6 3 6
common difference?

Answers

9514 1404 393

Answer:

  the listed sequences have no common difference(s)

Step-by-step explanation:

The differences in the first sequence are ...

  8, 10, -1, 19

These values are not equal, so there is no common difference.

__

The differences in the second sequence are ...

  -3, 3, -3, 3

These values are not equal, so there is no common difference.

_____

The difference is the difference between a term value and the one before.

  1 -(-7) = 8

  3 -6 = -3

Can someone help me please? Thanks!

Answers

Answer:

(-2, 6), (-7, 4), (-2, 4)

Step-by-step explanation:

by reflecting in the line y = 0, change all x coordinates to the opposite and y coordinates remain

Topic: Graphs

If you like to venture further, please give my Instagram page a follow (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

A = (2, -6)

B = (2, -4)

C = (7, -4)

Step-by-step explanation:

Feel free to give brainliest.

Have an amazing day!

At noon, the minute and hour hands overlap. In how many hours will they overlap again?

Answers

24 hours

Because 24 hours equals 1 day or one rotation of the clock

Answer:

1 hour 5  9/20 minutes

Step-by-step explanation:

I don't understand linear functions, thanks!

Answers

Answer:

I think the answer is Y=-1 and x=1

Calculate Total Wage: Hours Worked 38; Rate $15.70

Answers

The answer is 596.6 I think

Subtract -3x-8−3x−8 from 4x^2-7x-24x
2
−7x−2.

Answers

Answer:

20x² - 8x + 14

General Formulas and Concepts:

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

4x² - 7x - 24x² - 7x - 2 - (-3x - 8 - 3x - 8)

Step 2: Simplify

Combine like terms (x²):          -20x² - 7x - 7x - 2 - (-3x - 8 - 3x - 8)Combine like terms (x):            -20x² - 14x - 2 - (-6x - 8 - 8)Combine like terms (Z):           -20x² - 14x - 2 - (-6x - 16)Distribute negative:                 -20x² - 14x - 2 + 6x + 16Combine like terms (x):            -20x² - 8x - 2 + 16Combine like terms (Z):           -20x² - 8x + 14

15−21


Please help me

Answers

Dang that’s a hard one but it’s -6

Answer:

The answer is -6

what is the point slope equation of the line through (3,6) (5,-8)

Answers

Answer:

y-6 = -7(x-3)

Step-by-step explanation:

[tex]y-y_{1} =m(x-x_{1})[/tex]

y - 6 = m(x - 3)

[tex]m = \frac{-8-6}{5-3}=\frac{-14}{2}=-7[/tex]

y-6 = -7(x-3)

Answer:

y - 6 = -7(x - 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (3, 6)

Point (5, -8)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-8-6}{5-3}[/tex]Subtract:                       [tex]m=\frac{-14}{2}[/tex]Divide:                          [tex]m=-7[/tex]

Step 3: Write equation

Point (3, 6)

Slope m = -7

y - 6 = -7(x - 3)

write an equation of the line passing through the given points

Answers

Answer:

y= -8x-2

Step-by-step explanation:

30-(-42)/-4-5 = slope = 72/-9 simplified to -8

Now that you have the slope, plug in the points

30=-8(-4)+b

30=32-2

B= -2

Solve for x.
2x
3 = 12
My Answer:

Answers

Answer:

x = 2

Step-by-step explanation:

lets see 2 times 2 is 4 and 4 times 3 is 12

there u go kid lol

hope this helps

have a great day

im brooke btw

lol

brainliest?

Answer:

6x

Step-by-step expla

21% of the students at a High are in Maths group, 15 % are in science group, and 6 % are in both. If a student is selected randomly , what is the probability that the student is in maths or science group?

Answers

Answer:

6%

Step-by-step explanation:

The probability of picking a maths student = 21% = 21/100

The probability of picking a science student = 15% = 15/100 = 3/20

The probability of picking in both = 6/100 = 3/50

The probability that the student is in maths or science = 21/100 - 15/100 = 6/100 = 6%.

A scale factor of 4 applied to the dimensions of the prism. What effect will this have on the volume?

Answers

Answer:

its not A just took the test

Step-by-step explanation:

The effect this scale factor has on the volume is that the volume will be 64 times larger. The correct option is B.

What is a Scale factor?

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k².

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Since the volume is the product of three linear quantities.

Therefore, if the scale factor of 4 is applied to the given prism then the volume of the prism will grow by 4³. Thus, we can write,

The volume of the scaled prism = 4³ ×Volume of the original volume

The volume of the scaled prism = 64 ×Volume of the original volume

Hence, the effect this scale factor has on the volume is that the volume will be 64 times larger.

Learn more about Scale factors here:

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What is the value of this expression when x = -1 and Y = 2?
4x^3 × y^2​

Answers

Answer:

-16

Step-by-step explanation:

Replace x by -1, and y by 2. If you simplify it, you get -16

Answer:

-16

Step-by-step explanation:

Given

4x^3 × y^2​

To find

The value of expression when x = -1 and y = 2

Substituting values:

4(-1)^3*2^2 = -4*4 = -16

Solve the system of equations.
2.5y + 3x = 27
5x – 2.5y = 5
What equation is the result of adding the two equations?
What is the solution to the system?

Answers

Answer:

8x = 32

x = 4

y = 6

Step-by-step explanation:

2.5y + 3x = 27

5x – 2.5y = 5

_____________

8x = 32 (equation obtained after adding the two equations)

x = 32/8

x = 4

Plug x = 4 in 2.5y + 3x = 27

2.5y + 3*4 = 27

2.5y + 12 = 27

2.5y = 27 - 12

2.y5= 15

y = 15/2.5

y = 6

The equation results of adding the two equations is 8x = 32.

The solution to the system is (4, 6).

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, A system of linear equations in variables 'x' and 'y'.

2.5y + 3x = 27...(i) and 5x - 2.5y = 5...(ii)'

Reaaranging eqn(i) we have

3x + 2.5y = 27...(iii)

Adding (ii) and (ii) we have,

8x = 32.       (As + 2.5y and - 2.5y cancels)

x = 32/8.

x = 4.

Putting the value of 'x' in eqn(i) we have,

2.5y + 12 = 27.

2.5y = 15.

y = 6.

So, The solution to the system is (4, 6).

learn more about linear equations here :

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Trapezoid QUAD is graphed on the coordinate plane and
then reflected over the x-axis to create trapezoid
Q'U'A'D'.
3
If trapezoid Q'U'A'D'is dilated by a factor of with
4
respect to the origin to create trapezoid Q"U"A"D", what
are the coordinates of A"?
U
A
O (2, 4)
O (-2,4)
3+
2+
1+
Q
D
o , -3)
0 (33)
-5 -3 -2 -1
2
3
/4
sx
-2
-37
UP
-4 -5
A'

Answers

Answer:

A''(3/2, -3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.

If a point A(x, y) is reflected over the x axis, the new point would be A'(x, -y).

If a point A(x, y) is dilated by a factor k, the new point would be A'(kx, ky).

Given that Trapezoid QUAD has vertices at Q(-4, 0), U(-2, 4), A(2, 4) and D(4, 0).  If the trapezoid is reflected over the x-axis to create trapezoid  Q'U'A'D', the vertices would be at Q'(-4, 0), U'(-2, -4), A'(2, -4) and D'(4, 0).

If trapezoid Q'U'A'D'is dilated by a factor of 3/4  respect to the origin to create trapezoid Q"U"A"D", the vertices would be at Q''(-3, 0), U''(-3/2, -3), A''(3/2, -3) and D''(3, 0)

Answer:

A''(3/2, -3)

Step-by-step explanation: i just took the test on edge

Canada Olympic Park features sports training and entertainment facilities.The monster Zip line produces average speed of 120 kilometers per hour. A smaller line produces speeds represented by the function d=50h where d is the distance in kilometers after h hours. How much farther could you travel on the Monster Zip line in 0.25 hours

The answers I can choose are

18km

16km

20km

17.5km

Answers

Answer:

17.5 Km

Step-by-step explanation:

In Monstor zip line, it's 120 km /hour

so in 0.25 hours, it's 0.25 * 120 = 30 Km

in another small

d = 50*h

= 50*0.25

= 12.5 km

so you travel (30-12.5)km farther on the monster zip line = 17.5 Km

HELP NOW PLEASEEEE!
If -3/2 and 5 are solutions, what is the value of a, b, and c? (ax+b)(x+c)=0

Answers

Answer:

Step-by-step explanation:

If -3/2 and 5 are solutions to the quadratic equation, hence the expression will give;

(x-(-3/2))(x-5) = 0

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

Compare the resulting expression with (ax+b)(x+c)=0, we can see that;

ax = x

divide both sides by x

ax/x = x/x

a = 1

b = 3/2

-5 = +c

c = -5

Hence a = 1,  = 3/2 and c = -5

tell me about my handwriting
is it neat messy is it legible like can you read it is it pretty ugly just let me know anything about it

Answers

I would not call it neat but its not messy either. Its readable

Answer:

Your handwriting is legible and I can read it. It is not the worst handwriting ever but there is always room to improve in an area.

Step-by-step explanation:

What is the slope of the line y=x+15

Answers

Answer: 1
Explanation: slope intercept for is y=mx+b and m=slope so in this case m=1

Find the missing angle measure for the triangle.
PLSSSSSS HELP

Answers

It it nfjfncjcjcjcnc 100
50° djebdosnneksjsns
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