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3 years ago

Select the correct answer.

Mathematics

1 answer:

Serjik [45]3 years ago

5 0

Answer:

A . (2,4)

Step-by-step explanation:

Let's solve for x.

x+2y≤4

Step 1: Add -2y to both sides.

x+2y+−2y≤4+−2y

x≤−2y+4

Answer:

x≤−<u>2</u>y+<u>4</u>

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Question is attached.<br>Step by step explanation needed!!

sweet-ann [11.9K]

Answer:

Option B

Step-by-step explanation:

Refer to the Attachment for steps.

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2 years ago

Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.

mr Goodwill [35]

Answer:

B. (-2,-4)

Explanation

Given equations:

y = 3x + 2

y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

y = 3x + 2 ----- (i)

y = -2x - 8 ------ (ii)

Using substitution method, input equation i, into ii

3x + 2 = -2x - 8

Collect like terms and solve;

3x + 2x = -8 -2

5x = -10

x = -2

Then put x = -2 into i, to find y

y = (-2 x 3) + 2

y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)

6 0

2 years ago

The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow

Reika [66]

If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now $\bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}$

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the $0=w^2\implies 0=w$ so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

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2 years ago

Regular hexagon FGHIJK shares a common shares a common center with square ABCD on a coordinate plane .

timurjin [86]

Answer:

<h3>"The answer is the yellow lines in the attached figure. </h3>

Step-by-step explanation: As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.

We are to find the line across which the combined figure will reflect onto itself.

In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.

Hence these yellow lines are the required lines."

<h3><u>Hope this helps!</u></h3>

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2 years ago

Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a ma

scoundrel [369]

Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

a) either economics of Math course is

$315+213-123 =405$

Out of 500 students 405 have taken either Math or Economics

Hence

c) student who have taken neither = $500-405 =95$

Exactly one course is either math or economics - both

= $405-123 = 282$

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3 years ago