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4 years ago

Find the solution to the system of 5x+2y=-24 x-y=5

2 answers:

4 0

So to do this, we have to get rid of one of the variables by adding or subtracting the two equations together.
I will get rid of y. So, we can multiply the second equation by 2. This gives us
2x-2y=10
Now, we can add both equations
This gives us 7x=-14
Therefore, x = -2
Plug that into another equation.
-10 + 2y=-24
Therefore, y = -7

Hope this helped!! :D

Damm [24]4 years ago

4 0

5x + 2y = -24 ⇒ 5x + 2y = -24
1x - 1y = 5 ⇒ 2x - 2y = 10
 7x = -14
 7 7
 x = -2
 x - y = 5
 -2 - y = 5
 + 2 + 2
 -y = 7
 -1 -1
 y = -7
 (x, y) = (-2, -7)

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The position of an object along a vertical line is given by s(t) = −t3 + 3t2 + 7t + 4, where s is measured in feet and t is meas

saw5 [17]

Answer:

The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

Step-by-step explanation:

Given : The position of an object along a vertical line is given by $s(t) = -t^3+3t^2+7t +4$ , where s is measured in feet and t is measured in seconds.

To find : What is the maximum velocity of the object in the time interval [0, 4]?

Solution :

The velocity is rate of change of distance w.r.t time.

Distance in terms of t is given by,

$s(t) = -t^3+3t^2+7t +4$

Derivate w.r.t. time,

$v(t)=s'(t) = -3t^2+6t+7$

It is a quadratic function so its maximum is at vertex of the function.

The x point of the function is given by,

$x=-\frac{b}{2a}$

Where, a=-3, b=6 and c=7

$t=-\frac{6}{2(-3)}$

$t=-\frac{6}{-6}$

$t=1$

As 1 lie between interval [0,4]

Substitute t=1 in the function,

$v(t)= -3(1)^2+6(1)+7$

$v(t)= -3+6+7$

$v(1)=10$

Th maximum velocity is 10 ft/s.

Therefore, the maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

8 0

3 years ago

Read 2 more answers

I need to find the product of f and g. what is the domain and range of the product

velikii [3]

Step-by-step explanation:

Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)

By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 4}

By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.

Domain: {x | all real numbers}

Range: {y | y > 0}

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3 years ago

What is the value of C? 55 70 95 110

Lana71 [14]

Answer:

c°=70°

Step-by-step explanation:

taking that it would be an alternate interior totaling 180°

take the difference: 180°-110°=70°

4 0

3 years ago

Write as a single term: cos(2x) cos(x) + sin(2x) sin(x)

GREYUIT [131]

Answer: cos(x)

Step-by-step explanation:

We have

sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and

cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)

From eq. (1)

if x = y

sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)

From eq. 2

If x = y

cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)

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Hence:The expression:

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and operating

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cos (x) [ cos²(x) + sin²(x) ] = cos(x)

since cos²(x) + sin²(x) = 1

8 0

3 years ago

5. What's true of the distribution of any variable, if your model is the mean of that variable? A The distribution of the variab

Alex

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