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3 years ago

Which of the following are steps to use when formulating an equation? Check all that apply.

Mathematics

2 answers:

Ber [7]3 years ago

7 0

Answer:

A and B

Step-by-step explanation:

Nady [450]3 years ago

5 0

Answer:A , C , D

Step-by-step explanation:I just did it and those were the answers

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The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). Th

ziro4ka [17]

Answer:

67.49

Step-by-step explanation:

Let the number of HCF be x.

Let the cost be y.

You are given 2 points of a line: (15, 32.84) and (43, 79.04).

Now we find the equation of the line that passes through those points.

y - y1 = m(x - x1)

y - 32.84 = [(79.04 - 32.84)/(43 - 15)](x - 15)

y - 32.84 = (46.2/28)(x - 15)

y - 32.84 = 1.65(x - 15)

y = 1.65x - 24.75 + 32.84

y = 1.65x + 8.09

Now we let x = 36 and solve for y.

y = 1.65(36) + 8.09

y = 67.49

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4 years ago

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uysha [10]

Answer:

the value is k=

Step-by-step explanation:

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3 years ago

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3 years ago

Write the equation for the parabola that has x− intercepts (−2,0) and (1.2,0) and y− intercept (0,−4).

schepotkina [342]

Answer: The answer is $15y+4=25(x-1.6)^2.$

Step-by-step explanation: We are to find the equation of the parabola with x-intercepts (-2,0), (1.2,0) and y-intercept (0,-4).

Therefore, axis of symmetry is

$x=\dfrac{1.2+2}{2}\\\\\Rightarrow x=1.6.$

Let the equation of the parabola be $y=a(x-1.6)^2+k.$

Substituting the points (x,y)=(0,-4) and (1.2,0) in the above equation, we find that

$-4=a(0-1.6)^2+k\\\\\Rightarrow k=-2.56a-4$

and

$0=a(1.2-1.6)^2+k\\\\\Rightarrow k=-0.16a.$

Solving the above two equations, we get

$a=-\dfrac{5}{3}~~\textup{and}~~k=-\dfrac{4}{15}.$

So, putting the values of 'a' and 'k' in the equation of the parabola, we get

$y=-\dfrac{5}{3}(x-1.6)^2-\dfrac{4}{15}\\\\\Rightarrow 15y+4=-25(x-1.6)^2.$

Thus, the equation of the parabola is $15y+4=25(x-1.6)^2.$

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4 years ago