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Dominik [7]
3 years ago
7

X+2y=6 and x-y=3 solve by linear equations by substitution

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
X+2y=6
x-y=3x=6-2y
x=3+y

6-2y=3+y
3=3y
y=1

x=3+1
x=4
Answer: (4;1)





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A company that manufactures hair ribbons knows that the number of ribbons it can sell each week, x, is related to the price p pe
mel-nik [20]

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

x=1000-100p

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

R=xp

R=(1000-100p)p

R=1000p-100p^2

We need to find the value of p when the value of R is $1600.

1600=1000p-100p^2

1600-1000p+100p^2=0

100(16-10p+p^2)=0

Divide both sides by 100.

p^2-10p+16=0

Splitting the middle term, we get

p^2-8p-2p+16=0

p(p-8)-2(p-8)=0

(p-8)(p-2)=0

Using zero product property, we get

p-8=0 or p-2=0

p=8 or p=2

Therefore, the smaller value of p is $2 and the larger value of p is $8.

5 0
3 years ago
If the point (-2, 5) is reflected across the y-axis, its image will be at (-2, -5). true false
Ivan
False, the image will be (+2; 5)
3 0
2 years ago
PLEASE HELP ASAP!!!!! i will give brainliest
katrin2010 [14]

Answer:

Step-by-step explanation:

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5 0
3 years ago
Find the equation of the line passing<br> through the points (3,3) and (4,5).<br> y = [? ]x +[ ?]
muminat

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{3}}}\implies \cfrac{2}{1}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{3}) \\\\\\ y-3=2x-6\implies y=2x-3

3 0
3 years ago
Help please and explain how you did it
Harrizon [31]

1 yard = 3 feet

10 yards = 30 feet (multiply both sides by 10)

------------------

1 yard = 3 feet

2/3 yard = 2 feet (multiply both sides by 2/3)

-------------------

10 yards + 2/3 yard = 30 feet + 2 feet = 32 feet

<h3>The final answer is 32 feet</h3>
5 0
3 years ago
Read 2 more answers
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