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Pepsi [2]
4 years ago
13

The coffee shop is having a special where 2 pounds of coffee cost four dollars. Assume that the total cost in dollars y varies d

irectly with the number of pounds of coffee x. This can be represented by y=2x. How much will 2.5 pounds of coffee cost
Mathematics
1 answer:
Anarel [89]4 years ago
8 0

Answer:

Step-by-step explanation:

If 2 pounds costs $4, then 1 pound costs $2.  That's why the equation is y = 2x and x is the number of pounds you buy.  If you buy 2.5 pounds, then the cost is y = 2(2.5) so

y = $5

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For the quadratic equation, state the axis of symmetry, vertex, and any intercepts.
dusya [7]

Answer:

Axis of Symmetry is x = 2

Vertex is (2, -9)

X Intercepts are (5, 0) and (-1, 0)

Step-by-step explanation:

Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a

a=1

b=-4

c=-5

--4/2(1) = 2

Plugin to find the y value of the vertex.

2^2-4(2)-5=y

4-8-5=y

y = -9

The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2

Factor the equation to put into intercept form.

(x-5)(x+1) = y

The equation can be FOIL-ed to get back to standard form.

Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.

For (x-5) your intercept is (5, 0)

For (x+1) your intercept is (-1, 0)

The x intercepts are where the parabola will cross the x axis on the graph.

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One is one the number line and the 7/10 is between 0.8
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Ronnie is thinking of a number. He says that he gets the same result when he multiplies by his number by 2 as when he adds 5 to
Anettt [7]
Let's say Ronnie is thinking of X.

If 2(x) = x+5, we would first distribute the 2.

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We would then need to isolate the variable. We would do so by getting all variables to one side. The easier choice would be to subtract x from both sides.

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