MATHEMATICS MIDDLE SCHOOL

The function f(t)=t^2+12t-18 represents a parabola.Part A: Rewrite the function in vertex form by completing the square. Show your work.
Part B:Determine the vertex and indicate whether its a maximum or minimum on the graph. How do you know?
Part C: Determine the axis of Symmetry

Answers

Answer 1
Answer: y= t^(2) +12t -18 \n y+18=t^(2) +12t \n y+18+36=t^(2) +12t+36 \n y+54=(t+6)^(2) \n y=(t+6)^(2) -54
f(t) = (t+6)^(2) -54
 

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Estimate then record the product $53x4

Answers

the answer is 212 you can estimate the answer to be 200
you do 53 times 4 and you get 212 because when you estimate it's 212.

Write the phrase as an expression.Then evaluate when x=5 and y=20. The Quotient of 40 and the difference of a number y and 16.

Answers

For this case we have the following expression:

The Quotient of 40 and the difference of a number y and 16.

Writing the expression in algebraic form we have:

(40)/(y-16)

We observe that the expression does not depend on the variable x.

Therefore, substituting the value of y = 20 we have:

(40)/(y-16) = (40)/(20-16) = (40)/(4) = 10

Rewriting:

(40)/(y-16) = 10

Answer:

the phrase as an expression is:

(40)/(y-16)

For y = 20 the result is 10
Quotient is the answer in division. Difference is the answer in subtraction.

40
----------
( y - 16)


40                      40
---------------  =    ------------  =  10
(20 - 16)               4

What is the mid point for (16,-4)(-2-6)?

Answers

That would be (7, -5)

Midpoint Formula:
(x,y) = (x2+x1/2 , y1 + y2/2)
It would be (7,-5) there ya go

Write 15 cookies to 40 brownies

Answers


           "15 cookies to 40 brownies"
Could you please elaborate on the question.

What is the greatest common factor of 12 and 18

Answers

the gcf is 6 because both 12 and 18 can be divided by 6.

the gcf is 2 because you cannot have a higher number

Difference between solutions of linear equations and solutions of linear in equalities

Answers

A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2_x_ = 6, x can only be 3.

One obvious difference between linear equations and inequalities is the solution set. A linear equation of two variables can have more than one solution.

For instance, with x = 2_y_ + 3, (5, 1), then (3, 0) and (1, -1) are all solutions to the equation.

In each pair, x is the first value and y is the second value. However, these solutions fall on the exact line described by y = ½ x – 3/2.

If the inequality were x ? 2_y_ + 3, the same linear solutions just given would exist in addition to (3, -1), (3, -2) and (3, -3), where multiple solutions can exist for the same value of x or the same value of y only for inequalities. The "?" means that it is unknown whether x is greater than or less than 2_y_ + 3. The first number in each pair is the x value and the second is the y value.
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