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3 years ago

The system shown is consistent, inconsistent, equivalent

Mathematics

2 answers:

timama [110]3 years ago

8 0

Answer: Consistent (and independent)

Step-by-step explanation:

The meaning of the options are:

Consistent (and independent): There is only one point of intersection between the two lines.

Inconsistent: The lines never touch each other, this only can happen when the lines are parallel, so they have the same slope but a different y-intercept.

Equivalent (also called consistent and dependent): This happens when both lines are the same line, so they intersect in an infinite number of points.

In the graph, we can see that the lines intersect in only one point, then we can conclude that the system is consistent.

charle [14.2K]3 years ago

4 0

Answer:

Consistent

Step-by-step explanation:

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Four years after opening an account that paid simple interest of 4.25% annually, a depositor withdrew the $2,380 in interest ear

satela [25.4K]

Answer:

Step-by-step explanation:

In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula

prt = I, where

p is the initial investement,

r is the interest rate in decimal form,

t is the time in years, and

I is the interest earned. Notice that we have all those things but the p.

Filling in:

p(.0425)(4) = 2380 and

.17p = 2380 so

p = 14000

That means that 14000 was initially invested. If the depositor withdrew the 2380, then

14000 - 2380 is the amount left in the account, namely, $11620

7 0

3 years ago

Simplify 9^{2} / 9^{7}

monitta

It is 2/18 I hope I can help

8 0

3 years ago

Solve the function below for y when x=12.<br><br><br><br>y=−3x+20

densk [106]

Answer:

y = -16

Step-by-step explanation:

y = -3(12) + 20

y = -36 + 20

y = -16

Hope this helps and pls do mark me brainliest if you can:)

6 0

3 years ago

Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standar

const2013 [10]

The difference in gallons per day used is 3.6.

The formula to calculate a z-score is:
$z=\frac{X-\mu}{\sigma}$ ,

where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:

$3=\frac{X-2.2}{1.2}\text{ and }0=\frac{X-2.2}{1.2}$

For both equations, we will cancel the 1.2 by multiplying both sides:
$3\times1.2=(\frac{X-2.2}{1.2})\times1.2\text{ and }0\times1.2=(\frac{X-2.2}{1.2})\times1.2
\\
\\3.6=X-2.2\text{ and }0=X-2.2$

Now we will cancel 2.2 from both equations by adding it to both sides:

3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X

The difference in gas used per day would be given by
5.8-2.2 = 3.6.

5 0

3 years ago

Miguel buys 100 feet of fence to enclose a rectangular area of his backyard so his dog can run freely. What is the maximum area,

sdas [7]

Suppose the length of the triangle is x, if the perimeter of the rectangle is 100 ft, the width of the rectangle will be (50-x) ft.
Area of rectangle will be:
A=length*width
A=x(50-x)
A=50x-x^2
at maximum area, dA/dx=0
thus
dA/dx=50-2x=0
solving for x we get
2x=50
x=25
thus for maximum area length=25 ft
the size of the width will be
50-x=50-25=25 ft
thus the maximum area will be:
25*25=625 sq. feet

5 0

3 years ago