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PIT_PIT [208]
3 years ago
5

У=x+5 3x+y=25 substitution

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

y=x+5\\3x+y=25

To solve, we can use substitution.

Substitute the first equation into the second:

3x+y=25\\3x+(x+5)=25

Combine like terms:

4x+5=25

Subtract 5:

4x=20

Divide by 4:

x=5

Now, substitute this into the first equation:

y=x+5\\y=5+5

Add:

y=10

So, our answer is (5,10)

And we are done :)

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Joe has 4/5 as much money as bob. Tim has $50 more than joe. Rita has $150, which is $35 more than bob. How much money does tim
lesantik [10]

Rita = $150

Bob = $150 - $35 = $115    Bob has $115

Joe = $115 divided by 5 = $23      $23 x 4 = $92    Joe Has $92

Tim = Has $50 more then joe, $92 + $50 = $142     Tim has $142

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The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distr
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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
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Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

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Answer:

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de Valen $390 entrega personal de tal modo que la parte de la primera sea igual al doble de la segunda menos 60
Mnenie [13.5K]

Answer:

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Step-by-step explanation:


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