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3 years ago

Is this a function??

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Yes this is a function because the definition of a function is if the x doesn’t repeat and we can test this with the vertical line test that states that if you put an imaginary line where the points are the x shouldn’t repeat in this case this is true as the x doesn’t repeat

Your welcome

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True or false when the x intercept of a graph occurs when the x=0

Mumz [18]

True, hope this helps you.

4 0

2 years ago

Q1. Peter bought 3slices of chicken pizza and 4 slices of mushroom pizza for a total of $12.50.

emmainna [20.7K]

Answer: the cost of mushroom pizza is $2.00 dollars. The cost of chicken pizza is $1.50.

Hope this helped! Can I get Brainliest?

6 0

3 years ago

Strain-displacement relationship) Consider a unit cube of a solid occupying the region 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, 0 ≤ z ≤ 1 After loa

Anastasy [175]

Answer:

please see answers are as in the explanation.

Step-by-step explanation:

As from the data of complete question,

$0\leq x\leq 1\\0\leq y\leq 1\\0\leq z\leq 1\\u= \alpha x\\v=\beta y\\w=0$

The question also has 3 parts given as

Part a: Sketch the deformed shape for α=0.03, β=-0.01 .

Solution

As w is 0 so the deflection is only in the x and y plane and thus can be sketched in xy plane.

the new points are calculated as follows

Point A(x=0,y=0)

Point A'(x+αx,y+βy)

Point A'(0+(0.03)(0),0+(-0.01)(0))

Point A'(0,0)

Point B(x=1,y=0)

Point B'(x+αx,y+βy)

Point B'(1+(0.03)(1),0+(-0.01)(0))

Point B'(1.03,0)

Point C(x=1,y=1)

Point C'(x+αx,y+βy)

Point C'(1+(0.03)(1),1+(-0.01)(1))

Point C'(1.03,0.99)

Point D(x=0,y=1)

Point D'(x+αx,y+βy)

Point D'(0+(0.03)(0),1+(-0.01)(1))

Point D'(0,0.99)

So the new points are A'(0,0), B'(1.03,0), C'(1.03,0.99) and D'(0,0.99)

The plot is attached with the solution.

Part b: Calculate the six strain components.

Solution

Normal Strain Components

$\epsilon_{xx}=\frac{\partial u}{\partial x}=\frac{\partial (\alpha x)}{\partial x}=\alpha =0.03\\\epsilon_{yy}=\frac{\partial v}{\partial y}=\frac{\partial ( \beta y)}{\partial y}=\beta =-0.01\\\epsilon_{zz}=\frac{\partial w}{\partial z}=\frac{\partial (0)}{\partial z}=0\\$

Shear Strain Components

$\gamma_{xy}=\gamma_{yx}=\frac{\partial u}{\partial y}+\frac{\partial v}{\partial x}=0\\\gamma_{xz}=\gamma_{zx}=\frac{\partial u}{\partial z}+\frac{\partial w}{\partial x}=0\\\gamma_{yz}=\gamma_{zy}=\frac{\partial w}{\partial y}+\frac{\partial v}{\partial z}=0$

Part c: Find the volume change

$\Delta V=(1.03 \times 0.99 \times 1)-(1 \times 1 \times 1)\\\Delta V=(1.0197)-(1)\\\Delta V=0.0197\\$

Also the change in volume is 0.0197

For the unit cube, the change in terms of strains is given as

$\Delta V={V_0}[(1+\epsilon_{xx})]\times[(1+\epsilon_{yy})]\times [(1+\epsilon_{zz})]-[1 \times 1 \times 1]\\\Delta V={V_0}[1+\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}+\epsilon_{xx}\epsilon_{yy}+\epsilon_{xx}\epsilon_{zz}+\epsilon_{yy}\epsilon_{zz}+\epsilon_{xx}\epsilon_{yy}\epsilon_{zz}-1]\\\Delta V={V_0}[\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}]\\$

As the strain values are small second and higher order values are ignored so

$\Delta V\approx {V_0}[\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}]\\ \Delta V\approx [\epsilon_{xx}+\epsilon_{yy}+\epsilon_{zz}]\\$

As the initial volume of cube is unitary so this result can be proved.

5 0

3 years ago

Please answer all i need help Factor the expression using the GCF. 50x-60 Next one Factor the expression using the GCF. 16m+40 n

Anton [14]

Answer:

10(5x - 6).

8(2m + 5).

9(3 - 5c)

Step-by-step explanation:

Given that

50x-60

16m+40

27-45c

The greatest common factor is a measure of the highest number present inside, or common to all the numbers that were listed. To take this one at a time, we have....

50x - 60. The highest number common to both of them is 10, and thus, we have

50x - 60 = 10(5x - 6), and this is the solved part.

16m + 40. The greatest number that's present inside both numbers is 8, and thus we have

16m + 40 = 8(2m + 5) and this is the solved part.

27 - 45c. The greatest common number is 9, and as a result, we have

27 - 45c = 9(3 - 5c), and this is the solution we were searching for

7 0

3 years ago

The slope of a line is -5, and the y-intercept is at (0, 4). What is the equation of the line in the slope-intercept form?

Mamont248 [21]

I think the answer is B

4 0

3 years ago