1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sdas [7]
1 year ago
8

ſ x - 5y = -9( 4x + 4y = - 12Step 1 of 2: Determine if the point (-4,1) lies on both of the lines in the system of equations by

substituting theordered pair into both equations.

Mathematics
1 answer:
Phoenix [80]1 year ago
3 0

Given:

\begin{gathered} x-5y=-9\ldots\ldots(1) \\ 4x+4y=-12\ldots\text{.}\mathrm{}(2) \end{gathered}

The given point is (-4,1)

Let's check the ordered pair (-4,1) in the first equation

\begin{gathered} x-5y=-9 \\ (-4)-5(1)=-9 \\ -4-5=-9 \\ -9=-9 \end{gathered}

Hence, (-4,1) is a solution of the first equation x-5y=-9.

Now, let's check (-4,1) in the second equation.

\begin{gathered} 4x+4y=-12 \\ 4(-4)+4(1)=-12 \\ -16+4=-12 \\ -12=-12 \end{gathered}

So, (-4,1) is a solution of the second equation 4x+4y=-12.

Hence, (-4,1) is a solution of both equation in the system, then it is a solution to the overall system.

You might be interested in
I don't know this. (3)
Dahasolnce [82]

Answer:

16 feet

Step-by-step explanation:

add 10 ft & 6 ft

3 0
2 years ago
Solve the following inequality for s. Write your answer in simplest form.
Doss [256]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) <  - 4s + 3 - 8

\qquad \sf  \dashrightarrow \: - 10 + 5(86) <  - 4s  - 5

\qquad \sf  \dashrightarrow \: - 10 +430 <  - 4s  - 5

\qquad \sf  \dashrightarrow \: 420 + 5 <  - 4s

\qquad \sf  \dashrightarrow \: 42 5 <  - 4s

\qquad \sf  \dashrightarrow \: 42 5 \div 4 <   - s

\qquad \sf  \dashrightarrow \: 106.25 <   - s

Inequalities change when it is multiplied by -ve number

\qquad \sf  \dashrightarrow \:  - 106.25  >    s

3 0
2 years ago
Read 2 more answers
Hey, can someone please explain how to do this
Natasha2012 [34]

Answer:

i am learning this right now and i think that all you would have to do is the number into the "equation" with the negative sin, cos, tan, close the parenthesis then press enter or =

Step-by-step explanation:

Sin^-1(-45)=

cos^-1(-45)=

tan^-1(-45)=

4 0
3 years ago
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. ​(a) Use a bin
Advocard [28]

Answer:

a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

Step-by-step explanation:

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

To use the Poisson approximation for the binomial, we have that:

\mu = np

1 in every 2500 automobiles produced has a particular manufacturing defect.

This means that p = \frac{1}{2500} = 0.0004

a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.

This is P(X = 4) when n = 7000. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558

0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.

(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.

Using the approximation:

\mu = np = 7000*0.0004 = 2.8. So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557

0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.

6 0
3 years ago
Graph the quadratic formula y=-2x^2+12x-14
Effectus [21]
The graph below shows the function.

8 0
3 years ago
Other questions:
  • How is 9/5 expressed as the sum of a whole number and fraction
    13·1 answer
  • John is catering a luncheon and needs
    10·1 answer
  • A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,
    8·1 answer
  • Identify the graph described by the function p(x)=x/10 for x=1,2,3,4
    14·1 answer
  • Please answer this correctly
    9·1 answer
  • The following table shows the number of internet users in 2012 for the highest using countries.
    10·1 answer
  • Which set is not closed under addition
    15·1 answer
  • 2,550 gallons in 30 days
    13·1 answer
  • PLEASE HELP!!!
    13·2 answers
  • The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!