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likoan [24]
3 years ago
12

At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the numbe

r of hot dogs sold. find the number of sodas and the number of hot dogs sold.
Mathematics
1 answer:
Reil [10]3 years ago
7 0
You have to set up a system of equations

x+y=104
3x-y=104

Sodas = 78
Hotdogs = 26
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Harlamova29_29 [7]

Answer:

b. slope: -5; y-intercept: 7

Step-by-step explanation:

We are given the equation:

y + 5x = 7

To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

Lets get the given equation into slope-intercept form.

y + 5x = 7

Subtract 5x from both sides.

y = -5x + 7

Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.

The correct answer choice would be b.

I hope you find my answer and explanation to be helpful. Happy studying.

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Which statement is true about the extreme value of the given quadratic equation?
ICE Princess25 [194]

Answer:

Option B.  The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

The correct quadratic equation is

y=-3x^{2}+12x-33

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Convert to vertex form

Factor -3

y=-3(x^{2}-4x)-33

Complete the square

y=-3(x^{2}-4x+2^2)-33+12

y=-3(x^{2}-4x+4)-21

Rewrite as perfect squares

y=-3(x-2)^{2}-21

The vertex is the point (2,-21)

therefore

The equation has a maximum value with a y-coordinate of -21

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