All categories

3 years ago

What is the apparent solution to the system of equations graphed above?

Mathematics

2 answers:

Oksana_A [137]3 years ago

7 0

I think the answer is (-2,2)

Fiesta28 [93]3 years ago

5 0

we know that

The solution of the system of linear equation graphed is the intersection both graphs

The point of intersection is $(-2,2)$

therefore

the answer is

The solution is the point $(-2,2)$

see the attached figure to better understand the problem

You might be interested in

Picky Polls asked 1600 third-year college students if they still had their original major. According to the colleges, 50% of all

Reptile [31]

Answer:

The probability that less than 800 students who said they still had their original major is 0.50 or 50%.

Step-by-step explanation:

Let the random variable X be described as the number of third-year college students if they still had their original major.

The probability of the random variable X is, P (X) = p = 0.50.

The sample selected consisted of n = 1600 third-year college students.

The random variable X thus follows Binomial distribution with parameters n = 1600 and p = 0.50.

$X\sim Bin(1600, 0.50)$

As the sample size is large, i.e.n > 30, and the probability of success is closer to 0.50, Normal approximation can be used to approximate the binomial distribution.

The mean of X is:

$\mu_{x}=np=1600\times0.50=800\\$

The standard deviation of X is:

$\sigma_{x}=\sqrt{np(1-p}=\sqrt{1600\times0.50(1-0.50)}=20$

It is provided that Picky Polls got less than 800 students who said they still had their original major.

Then the probability of this event is:

$P(X$

**Use the z-table for the probability.

Thus, the probability that less than 800 students who said they still had their original major is 0.50.

7 0

3 years ago

Susan, Deon, and Felipe sent a total of 160 text messages during the weekend. Felipe sent 4 times as many messages as Susan. Deo

Romashka [77]

Answer:

Susan sent 25 messages

Felipe sent 100 messages

Deon sent 35 messages

Step-by-step explanation:

160 = x + 4x + x + 10

160 = 6x + 10

6x = 150

x = 25

7 0

3 years ago

What is the value of X

bixtya [17]

All 3 angles have to add up to be 180 so the answer would be 90

5 0

3 years ago

Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits

olga nikolaevna [1]

Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

$\frac{dB(y)}{dy} =100-36y$

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.

3 0

3 years ago

Segment BDSegment BD is a perpendicular bisector of segment ACsegment AC . AB=6xAB=6x and CB=x+15CB=x+15 . What is the length of

jolli1 [7]

Since BD is the perpendicular bisector of AC, then AB = BD, so:
6x = x+15
5x=15
x=3
CB = 3+15 = 18

3 0

3 years ago