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jarptica [38.1K]
3 years ago
9

True or False: (1, 3) is a solution to the system of linear equations shown

Mathematics
2 answers:
trapecia [35]3 years ago
8 0

Answer:

True

Step-by-step explanation:

You can substitute x = 1 and y = 3 into both equations and see if it's true or not.

y = 4x - 1

becomes

3 = 4(1) - 1

3 = 4 - 1

3 = 3

True

y = x + 2

becomes

3 = 1 + 2

3 = 3

True

Since both equations come out true, this (1, 3) is a solution.

astraxan [27]3 years ago
4 0

Answer:

True

Step-by-step explanation:

(1, 3) is a solution to the system of linear equations shown is true

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It takes 25 minutes to fry a burger at Jill street, how long will it take to fry 13 burgers​
Misha Larkins [42]

Answer:

325 minutes

Step-by-step explanation:

We can use a ratio to solve

25 minutes         x  minutes

------------------  = ---------------

1 burger                   13 burgers

Using cross products

25*13 = 1x

325 = x

325 minutes

7 0
3 years ago
Read 2 more answers
Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe
Hunter-Best [27]
<h2>Answer:</h2>

(a)   P(11,5)= 55440

(b)  C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

P(n,r)=\dfrac{n!}{(n-r)!}

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

C(n,r)=\dfrac{n!}{r!\times (n-r)!}

(a)

               P(11,5)

P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440

(b)

                 C(11,5)    

C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462

8 0
3 years ago
What is the solution to the division problem below? (You can use long division
klio [65]

Answer:

  C.  x² -4x +1

Step-by-step explanation:

The synthetic division is shown below. The quotient corresponds to answer choice C.

6 0
4 years ago
Please answer please :)
KatRina [158]
First one is 32.2 and the second one is -32.34
8 0
4 years ago
Read 2 more answers
A certain number of bacteria are in a petri dish. If the growth rate is 2.7 percent per hour, how many hours will it take the ba
Elza [17]
This is the concept of exponential growth;
the formula for obtaining the number of bacteria at time t in future is:
f(t)=ae^(kt)
where;
f(t)=population in future
a=initial population
k=constant of proportionality.
suppose the initial population was x, when the population doubles it will be 2x at a future time t. 
k=0.027
thus substituting the above in our formula we get:
2x=xe^(0.027t)
solving for t we get:
2=e^(0.027t)
introducing the log function we get:
ln2=0.027t
thus;
t=(ln2)/0.027
=25.67
therefore;
t=25.67 hours
6 0
3 years ago
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