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Mariulka [41]
3 years ago
5

Which expressions are equivalent when m=1 and m=4? (picture attached)

Mathematics
2 answers:
laiz [17]3 years ago
8 0

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the expressions

\text{5m-3 and 2m+5+m}

\text{3m+4 and m+4+2m}

\text{2m+7 and 3m-3+m}

\text{5m+3 and 4m+2+2m}    

we have to choose the option for which the expressions are equivalent when m=1 and m=4.

The substitution of values shown in table in attachment.

The only option 2 which gives the same values for m=1 and m=4 in both the expressions.

∴ Option 2 is correct.

Neporo4naja [7]3 years ago
4 0
The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!
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Researchers at a lake have determined that the percentage of fish in the lake that are intolerant to pollution can be estimated
dusya [7]

Answer:

a. 23.02 %

b. 49%

c. W

Step-by-step explanation:

Solution:-

- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:

                     P ( W , R , A ) = 49 - 1.61W - 1.41R - 1.38A

Where,

             W: percentage of wetland

             R: percentage of residential area

             A: percentage of agriculture

- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:

                     P ( 3 , 15 , 0 ) = 49 - 1.61*3 - 1.41*15 -1.38*0\\\\P ( 3 , 15 , 0 ) = 23.02\\

- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.

                   P ( 0 , 0 , 0 ) = 49 - 1.61*0 -1.41*0 - 1.38*0 = 49

- Hence, the maximum value of the function is 49%.

- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.

- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .

                   

6 0
3 years ago
How do you (experimentally) find the surface area of a pear?​
Lana71 [14]

Answer:

That's like saying "How do you (hypothetically) write a letter?"

Step-by-step explanation:

But you would probably have to measure the length, height, and width of this experimental pear and go from there.

Then plug your length, width, and height into your surface area formula.

It is also important to know where in the pear you are measuring. The top of the pear will have different measurements than the middle.

5 0
3 years ago
Rectangle WXYZ is shown on a coordinate plane. On a coordinate plane, a rectangle has 4 points. Point W is (1, 1), point X is (1
Temka [501]

Answer:

the length of the side XY is 4 units

Step-by-step explanation:

To find the length of side XY, what we do is to find the distance between the points X and Y

To find this distance, we employ the use of the formula for finding the distance between two points on a Cartesian plane.

Mathematically, the distance d which represents the length XY is given by;

d = √{(x2-x1)^2 + (y2-y1)^2}

Where point X represents the coordinates (x1,y1) = (10,1) while point Y represents the coordinates (x2,y2) = (10,-3)

Plugging these values into the formula, we have;

d = √{(10-10)^2 + (-3-1)^2}

d = √{(0)^2 + (-4)^2}

d = √(0 + 16)

d = √(16)

d = ± 4

but since distance cannot be negative, we ignore the -4 and thus we choose 4 units as the length between the points XY

4 0
4 years ago
PLEASE HELP:<br> Solve for a. <br> 4 1/5a -2.2 = -1 4/5a+ 3.8<br> Please show work!
ANTONII [103]
4 1/5a-2.2=

4 1/5a=4.2a So,

4.2a-2.2=2a
__________
-1 4/5a+3.8=

-1 4/5a=-1.8a So,

-1.8a+3.8=+5.6



I think that is it!
4 0
3 years ago
1.<br> If there are 10 birds for every 4 dogs, the ratio of birds to dogs is<br> ?_
Tatiana [17]

Answer:

10:4

Step-by-step explanation:

10:4 because it says birds to dogs

4 0
2 years ago
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