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siniylev [52]
3 years ago
7

What is the solution for the system of equations? y=−x+4 y= x−2

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer:

(3, 1 )

Step-by-step explanation:

Given the 2 equations

y = - x + 4 → (1)

y = x - 2 → (2)

Substitute y = x - 2 into (1)

x - 2 = - x + 4 ( add x to both sides )

2x - 2 = 4 ( add 2 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

y = 3 - 2 = 1

solution is (3, 1 )

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When adding or subtracting decimals, how can you be sure to add or subtract only digits that have the same place
Igoryamba

Answer: the number that are at the left side of the decimal is the whole numbers and the ones at the right are like the ones less than the whole numbers

4 0
3 years ago
Read 2 more answers
Find a fraction or mixed number that is between the two numbers -3/4 -1/3
Mandarinka [93]

Hey there!


-3/4 - 1/3

= -3/4 + (-1/3)

≈ -9/12 - 4/12

= -9 - 4 / 12 - 0

≈ -9 - 4 / 12

= -13 / 12

≈ -1 1/12


Therefore, your answer is/

-13/12 or -1 1/12

EITHER OF THOSE SHOULD BE CORRECT BECAUSE THEY ARE EQUIVALENT OR THE SAME THING.


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

6 0
2 years ago
According to a report, 11 people got colds for every 2000 people.
lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 1200 people

           r = number of success = one or more people got a cold

           p = probability of success which in our question is probability  

                 that people got colds, i.e; p = \frac{11}{2000} = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X \geq 1)

                     P(X \geq 1) =  1 - P(X = 0)  

                                  =  1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}

                                  =  1- (1 \times 1 \times 0.9945^{1200})

                                  =  0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0
4 years ago
If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
max2010maxim [7]

Given:

kth term of a sequence is

a_k=\dfrac{(-1)^k(2-k)k}{2k-1}

To find:

The next term a_{k+1} when k is even.

Solution:

We have,

a_k=\dfrac{(-1)^k(2-k)k}{2k-1}

Put k=k+1, to get the next term.

a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}

If k is even, then k+1 must be odd and odd power of -1 gives -1.

a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}

a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}

a_{k+1}=-\dfrac{1^2-k^2}{2k+1}    [\because (a-b)(a+b)=a^2-b^2]

a_{k+1}=-\dfrac{1-k^2}{2k+1}

Therefore, the next term is a_{k+1}=-\dfrac{1-k^2}{2k+1}.

7 0
3 years ago
(4x+7)^2=60 how to do extracting the square root?
4vir4ik [10]
(4x + 7)² = 60
(4x + 7)(4x + 7) = 60
(4x² + 28x + 28x + 49) = 60
4x² + 56x + 49 = 60
<u>                  -49   -49</u>
        4x² + 56x = 11
4x² + 56x - 11 = 11 - 11
4x² + 56x - 11 = 0
x = <u>-56 +/- √(56² - 4(4)(-11))</u>
                     2(4)
x = <u>-56 +/- √(3136 + 88)</u>
                     8
x = <u>-56 +/- √(3174)</u>
                 8
x = <u>-56 +/- 56.34</u>
               8
x = -7 +/- 7.0425
x = -7 + 7.70425       x = -7 - 7.70425
x = 0.70425              x = -14.70425
8 0
3 years ago
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