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4 years ago

3y - 5z = -23

1 answer:

8 0

Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.

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adrian wants to buy a set of 6 sets of wireless headphones he does not want to spend over $360.how much can he spend per set of

Alex787 [66]

$60 is the absolute maximum he can spend!

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3 years ago

Read 2 more answers

Write an equation to represent the N'th term of the sequence (2,-1.-4,-7,...)

mr_godi [17]

Answer: a(n) = 5 - 3n

the sequence has:

a1 = 2

a2 = -1

a3 = -7

.........

we can see that: a2 - a1 = a3 - a2 = -3

=> the sequence is a arithmetic sequence

=> the distance between the numbers is d = -3

because this sequence is a arithmetic sequence

=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n

Step-by-step explanation:

7 0

3 years ago

Can someone please help me on this one

Artemon [7]

Answer: 78.5 units^2

Step-by-step explanation:

The area of the circle is equal to pi*radius^2.

The diameter is double the radius, which means the radius is 10/2 = 5.

Therefore, the area is pi*5^2 = 25pi.

We use 3.14 for pi and we get 25*3.14 = 78.5 units^2

7 0

3 years ago

one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$

These relations between the solutions give us a brief idea of what the solutions should be like.

6 0

4 years ago

Find the volume of the following figure. Round to the nearest tenth.

sp2606 [1]

Answer:

Step-by-step explanation:

volume of cylinder= πr²h

r= 12cm

h = 19cm

putting the values in the formula

6 0

3 years ago