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vovikov84 [41]
3 years ago
15

A computer program found that the line y=3x - 52 is the best line of best fit to represent the temperature outside and the amoun

t of ice cream sold on the beach. If the temperature is predicted to be 50 degrees tomorrow, how much ice cream can they expect to sell?​
Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

98

Step-by-step explanation:

given x = 50

=> y = 3(50)-52 = 150-52=98

the ice cream they can expect to sell = 98

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a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the
nlexa [21]

Answer:

The standard equation of the parabola is:

y=-\frac{3}{2}x^2+12x-18

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}

Then the equation of the parabola becomes:

y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18

7 0
3 years ago
I need help answering this question..​
Irina-Kira [14]

Answer:

x=3

Step-by-step explanation:

Given: 15=7x-6

To solve this equation, we need to isolate x on one side of the equation algebraically. I see that we have like terms, but they are on opposite sides of the equal sign. Let's add 6 to both sides.

21=7x

To isolate x, divide both sides by 7.

x=3

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Find the volume of a rectangular prism with length 20 m,
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Answer:

V= 270m³

Step-by-step explanation:

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3 years ago
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
yuradex [85]
Ans: (6,-13) 

Rationale: 

Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)
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