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aleksandrvk [35]
3 years ago
10

Why equals 2X plus 7Y equals 5X +4 graph the answer

Mathematics
1 answer:
nevsk [136]3 years ago
3 0
You can graph the answer on cymath.com

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The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the
balu736 [363]
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x  *  0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
3 0
3 years ago
Please help solve this system of equations
stepan [7]

Make a substitution:

\begin{cases}u=2x+y\\v=2x-y\end{cases}

Then the system becomes

\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}

Simplifying the equations gives

\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}

which is to say,

\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}

\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81

\implies\dfrac uv=\pm27

\implies u=\pm27v

Substituting this into the new system gives

\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1

\implies u=\pm27

Then

\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13

(meaning two solutions are (7, 13) and (-7, -13))

8 0
3 years ago
Enrique collected 7 more than 2 times as many recyclable bottles,b, as Natasha collected.Write an expression for the number of b
nikitadnepr [17]

Answer:

an expression for the # of bottles enrique collected in all would be 2b+7

Step-by-step explanation:


8 0
3 years ago
What is the slope of a line that passes through (0,5) and (3,2)?
Goshia [24]

Answer:

undefine

Step-by-step explanation:

slope=2-5/3-0

-2/0

5 0
3 years ago
Every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Shani says that the t
uysha [10]
No, Shani is not right.
The 1st customer to get popcorn and apple juice is the 18th customer.
She missed that 18 is a common multiple of 6 & 9

8 0
3 years ago
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