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solmaris [256]
3 years ago
13

Solve the system of equations below y=3/2x-2 and 2x+y=-4

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0
Since y=(3/2)x-2
subsitute 3/2x-2 for y in 2nd equation
2x+3/2x-2=-4
add 2 to both sides
2x+3/2x=-2
times  2 both sides
4x+3x=-4
7x=-4
divide both sides by 7
x=-4/7
sub that back
y=3/2x-2
y=3/2(-4/7)-2
y=-12/14-2
y=-6/7-2
y=-6/7-14/7
y=-20/7


(x,y)
(-4/7,-20/7)
Anettt [7]3 years ago
5 0
Rewrite the 2nd equation as 

y = -4 -2x

then substitute into the 1st equation so you get

-4 - 2x =  \frac{3}{2} x - 2

then solve for x. 

when you get the value of x, substitute it into either equation to find y

hope it helps
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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

\frac{dy}{dt}=Number of bacteria per unit time

\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

Integrating on both sides then, we get

lny=kt+C

We have y(0)=200

Substitute the values then , we get

ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
3 years ago
PLEASE HELP!!!! IMA DESPRATE!!!!!!!!Find the second term in the sequence defined by an = −5(n2 + 1n).
Dmitrij [34]

The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

<h3>How to find the nth term of a sequence?</h3>

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

a₁ = -5(1² + 1(1))

a₁ = -10

The second term of the sequence is;

a₂ = -5(2² + 1(2))

a₂ = -20

Read more about Sequence at; brainly.com/question/6561461

#SPJ1

5 0
2 years ago
What is the area of a parallelogram?
denis23 [38]
D is the correct answer




the area of a parallelogram is equal to: base x height

18 \times 7 = 126



good luck
3 0
3 years ago
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How u write an inequality for brigitte is shorter than 5 feet (brigitte height =h)
padilas [110]
You have said that Brigitte is shorter than 5 feet. Translating your statement into rigorous mathematical terminology, we would write "Brigitte's height is less than 5 feet.". Then, using 'h' to represent Brigitte's height, and '<' to represent the words "less than", we can write the statement symbolically as [ h < 5 feet ].
4 0
2 years ago
RDTQ is a trapezoid. Find measure of angle R
bonufazy [111]

Answer: 170°

Step-by-step explanation: 8x +34 - (6x-22) =90 ==> 2x +56 =90 ==> x = 17 ==> góc R = 8*17 +34 = 170°

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