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Andre45 [30]
2 years ago
14

Which system of equations has the same solution as the system below? 3x+3y=8 and 2x-y=5

Mathematics
2 answers:
Nata [24]2 years ago
8 0

Answer:

<h2>B. 3x+3y=8 4x-2y=10 </h2>

Step-by-step explanation:

The choices for this question are

A. 3x+3y=8 4x-2y=5

B. 3x+3y=8 4x-2y=10

C. x+y=8 2x-y=5

D. 9s+9y=22 18x+9y=45

Among the options, the system that has the same solutions than the given system is B., because as you can observe such system has the same equations, the first one is the same equation 3x+3y=8, and the second one is the same equation with a factor applied, if we divide such equation by two, we would have

\frac{4x-2y}{2} =\frac{10}{2}\\ 2x-y=5

As you can observe, we get the same second equation that it's included in the given system

So, we can conclude that the system B, and the given system are the same, therefore they have the same solutions.

skad [1K]2 years ago
4 0
3x+3y=8                     2x-y=5

y=-x+8/3                    y=2x-5




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Answer:

f(x)=100-5h

Step-by-step explanation:

Let's say that the variable h is the number of hours.

f(x)=100-5h

f(x)=100 percent minus 5 percent per hour.

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3 years ago
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Answer:

44

Step-by-step explanation:

3+-5•-10-9

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2 years ago
How do you write sentences 10+k=4K
Andrei [34K]
K added to 10 gives you 4 times the value of K.

If you wanted to solve the expression:

Subtract both sides of the expression, right hand side(10+k) and left hand side(4K), by -k as you want to get rid of the variable to get simply 10 on the LHS.
10+k -k = 4k -k

If we want to subtract k from k then we get 0, and if we want to subtract k from 4k we get 3k. For the sake of simplicity think of k as an object saying if I subtract object A from object A I get zero, and so forth.

We are left with the expression:
10 = 3k
We divide both sides by 3 as to get rid of it from the RHS.
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8 0
3 years ago
A beekeeper’s hives are making honey at a constant rate. The profit from honey can be represented by the equation
miss Akunina [59]

Using the vertex of a quadratic function, she should harvest her honey after 64 days to maximize profit.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

The profit function is given as follows:

P(t) = -16t² + 2050t + 150.

The coefficients are a = -16 < 0, b = 2050, c = 150, hence the t-value of the vertex is:

t_v = -\frac{b}{2a} = -\frac{2050}{-32} = 64

Hence she should harvest her honey after 64 days to maximize profit.

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

5 0
2 years ago
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Answer:

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