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3 years ago

Solve the system of equations -12x-5y=40 12x-11y=80

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

Answer:

The answer is (-5/24, -7.5).

Step-by-step explanation:

There are two methods to solving a system of equations - substitution or elimination. In this example, we can use elimination since the coefficients of 'x' are opposite signs. To complete elmination, we simply add the equations together:

-12x - 5y = 40

-16y = 120

Use inverse operations to solve for 'y' by dividing both sides by -16 to get y = -7.5.

Next, plug in the value of 'y' into one of the equations and solve for 'x':

-12x - (5)(-7.5) = 40 or -12x + 37.5 = 40, now subtract 37.5 from both sides: -12x + 37.5 - 37.5 = 40 - 37.5 or -12x = 5/2. Lastly, divide both sides by -12 to solve for x, x = -5/24.

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Which function has an average rate of change of -4 over the interval [-2,2]?

kolbaska11 [484]

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = $\frac{m(b)-m(a)}{b-a}$

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

$=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}$

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = $\frac{n(b)-n(a)}{b-a}$

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

$=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}$

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = $\frac{q(b)-q(a)}{b-a}$

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = $\frac{-4-12}{2-(-2)}$

= $\frac{-16}{4}$

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = $\frac{p(b)-p(a)}{b-a}$

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = $\frac{-4-12}{2-(-2)}$

$=\frac{-16}{4}$

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

#SPJ1

8 0

2 years ago

Can someone please help me solve this?

kirza4 [7]

Answer:

tff is this lmaao sorry bro

3 0

3 years ago

A pool is surrounded by a rectangular fence with a

PtichkaEL [24]

Answer:

width is 33

Step-by-step explanation:

width (b) =?

length(l)=3

perimeter (p)=?

now,

perimeter = 2(l+b)

or,72= 2(3+ b)

or,72/2= 3+b

or,36= 3+b

or,36-3= b

or,33= b

therefore width is 33

7 0

3 years ago

NEED HELP ASAP. <br><br> a sphere has a surface area of 36pi ft2. find the volume of the sphere.

max2010maxim [7]

Answer:

Approximately: 200.76π or 630.39

Step-by-step explanation:

Surface area for sphere formula: A = 4π(r^2)

36π = 4(r^2)

(36/4)π = [4(r^2)]/4

9π = r^2

28.26 = r^2 (since π equals 3.14)

√28.26 = √r^2

r ≈ 5.32

Volume for sphere formula: V = 4/3(π)(r^3)

V = 4/3(π)(5.32^3)

V ≈ 4/3(π)(150.57)

V ≈ 200.76π

V ≈ 630.39

6 0

3 years ago

Markus is overdrawn at the bank by $9. His brother has $15 more than him. How much money does Markus’ brother have?

shusha [124]

Answer:

24$

Step-by-step explanation:

its just 9$ + 15$ = 24$

6 0

3 years ago