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seraphim [82]
3 years ago
14

Question 3

Mathematics
1 answer:
grin007 [14]3 years ago
4 0

Answer:

(4,3)

Step-by-step explanation:

Substituting the value of x in the given equation,

2x - 3(x-1) = -1

2x-3x+3 = -1

-x = -1-3

-x = -4

x = 4

Plugging in the value of x,

y= 4-1

y=3

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Lena drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Lena drove h
tekilochka [14]
I believe the answer is 88
7 0
3 years ago
Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent
goblinko [34]

Answer:

y(x)=x^2+5x

Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

C=5

Put C into equation

Solution:

\sqrt{4y+25}=2x+5

or

4y+25=(2x+5)^2

y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}

y(x)=x^2+5x

Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

4 0
3 years ago
Determine the intercepts of the line.
Fudgin [204]

Answer:

x-int = (-40,0)

y-int = (0,15)

Step-by-step explanation:

:D

7 0
3 years ago
The graphed line shown below is y=-3x+6...Which equation, when graphed with the given equation, will form a system that has no s
trasher [3.6K]

Answer:

The equation, when graphed together with the line y=-3x +6, which will form a system of equations with no solution is y=-3(x +6), meaning the second option on the picture.

Step-by-step explanation:

hope this helps!

6 0
3 years ago
KNOWLEDGE CHECK: ALEKS HELP!!!
bixtya [17]

Answer:

Just do -6 - 6×3 and you'll get -24

4 0
3 years ago
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