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torisob [31]
2 years ago
15

Determine whether or not the relation is a function. Please help asap

Mathematics
1 answer:
OLga [1]2 years ago
4 0

Answer:

A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function

Step-by-step explanation:

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Find the equation of a line perpendicular to y=-4x that contains the point (-3, -4)
madam [21]
Use this for help y2-y1/x2-x1

don’t forgot to use a calculator if u have negative numbers
5 0
3 years ago
Find the average value of f over region
SVETLANKA909090 [29]
D is a right triangle with base length 1 and height 8, so the area of D is \dfrac12(1)(8)=4.

The average value of f(x,y) over D is given by the ratio

\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}

The denominator is just the area of D, which we already know. The average value is then simplified to

\displaystyle\frac74\iint_Dxy\,\mathrm dA

In the x,y-plane, we can describe the region D as all points (x,y) that lie between the lines y=0 and y=8x (the lines which coincide with the triangle's base and hypotenuse, respectively), taking 0\le x\le1. So, the integral is given by, and evaluates to,

\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx
=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx
=14x^4\bigg|_{x=0}^{x=1}
=14
3 0
3 years ago
What is the degree of this polynomial?<br><br> 4m^8-9m^6+3m^9-6m^7
Klio2033 [76]

Answer:

this is a ninth degree polynomial in m

Step-by-step explanation:

Inspect the polynomial for the highest power of the variable m.  It is m^9.  Thus, this is a ninth degree polynomial in m.

7 0
2 years ago
Please help! 11 pts.
77julia77 [94]
Hey user!!!

given the radius of the cylindrical mold is 2 inches and height is 3 inches.

volume of the cylindrical mold = πr²h

= 3.14 × 2 × 2 × 3

= 37.68 in³


radius of the spherical mold is given = 2 inches

volume of the spherical mold = 4/3πr³

= 4/3 × 3.14 × 2 × 2 × 2

= 100.48/3 in³


difference between the amount of wax needed = 37.68/1 - 100.48/3

= ( 113.04 - 100.48 ) / 3

= 12.56/3

= 4.186...

so approximately 4.19 in³

hence, correct option is 4.19 in³


cheers!!!
8 0
4 years ago
Read 2 more answers
A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point est
xxTIMURxx [149]

Answer:

Point estimate for the population variance = 3.92 * 10^{-3} .

Step-by-step explanation:

We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;

       X                       X - Xbar                                         (X-Xbar)^{2}

      1.13            1.13 - 1.188 = -0.058                                 3.364 * 10^{-3}

      1.15            1.15 - 1.188 = -0.038                                 1.444 * 10^{-3}    

      1.15            1.15 - 1.188 = -0.038                                 1.444 * 10^{-3}

      1.24           1.24 - 1.188 = 0.052                                 2.704 * 10^{-3}

      1.27           1.27 - 1.188 = 0.082                               <u>  6.724 * </u>10^{-3}<u>    </u>

                                                                    \sum (X-Xbar)^{2} <u>= 0.01568   </u>

Firstly, Mean of above data, Xbar = \frac{\sum X}{n} = \frac{1.15+1.24+1.15+1.27+1.13}{5} = 1.188

Point estimate of Population Variance = Sample variance

                                                               = \frac{\sum (X-Xbar)^{2}}{n-1} = \frac{0.01568}{4} = 3.92 * 10^{-3} .

Therefore, point estimate for the population variance = 3.92 * 10^{-3} .

       

5 0
3 years ago
Read 2 more answers
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