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: The function in vertex form is $f(t) = (t+6)^(2) -54$ (refer to your other post I solved it there).
The general form of quadratic equations in vertex form is $f(x) = a(x-h)^(2) +k$ , where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.

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Maria is making a gelatin dessert for a party. She plans on making 12 servings for every 6 people. If each pan Maria uses to make the dessert holds 8 servings, what is the minimum number of these pans will she needs in order to serve 112 people?Please I really need help.

Answers

Very easy!
6 people= 12 servings so 1 person= 2 servings
We have 112 people so we need 112 x 2= 224 servings
So she will make 224 servings with an 8 servings pan, 224/8= 28 pans.
The minimum number of pans she need in order to serve 112 people is 28 pans!

A satellite travels 29 1/2 miles every 4 1/3
seconds. What is its unit rate of speed?

Answers

Answer:

The speed at which the satellite travel is 6.80 miles per second

Step-by-step explanation:

Given as :

The distance cover by satellites = 29 $(1)/(2)$ miles

Or, The distance cover by satellites = $(59)/(2)$ miles

The Time taken by satellite to travel with this speed = 4 $(1)/(3)$ sec

Or, The Time taken by satellite to travel with this speed = $(13)/(3)$ seconds

Let the Speed with which the satellite travel = s miles per second

Now, As we know

Speed = $(\textrm Distance)/(\textrm Time)$

Or, s = $((52)/(2))/((13)/(3))$

or, s = $(59* 3)/(2* 13)$

∴ s = 6.80 mps

So, speed = s = 6.80 miles per second

Hence The speed at which the satellite travel is 6.80 miles per second Anwser

PLEASE HELP THERE A FEW QUESTIONS THAT I NEED HELP I BEG YOU I NEED HELP

Answers

the first one is A. because it can all be divided by 4 and when you divided it also the exponents are subtracted.

second one is B. this one can be simplifide by doing the F.O.I.L. trick.

and last one is B also. because it's the only one that has a logic answer. if you were to F.O.I.L. it it would give you the answer but if you were to F.O.I.L. the others then you will find out the others don't add up.

hope this can work.

The answer of the first question is the FIRST one which is
(4b³ + 1) / 5b
The answer of the second question is the SECOND one which is
(x² + x - 2) / (x² - 4x + 3)
The answer of the third question is the SECOND one which is
[2(x+2)(x+4)] / [2(x+6)(x-6)]

Convert 3/11 into a percent?

Answers

3/11 * 100% =
= 300/11 % =
= 27 3/11 % =
= 27,272737...% =
= 27,(27)%

100% - 11
X% - 3
-------------
X= (100*3)/11 %
X= 27,272727...%

What is 4 7/20 written as a decimal?

Answers

Solve:-

Convert to improper fraction:-

4 7/20
20 × 4 = 80
80 + 7 = 87

Improper fraction:- 87/20

Turn to decimal:-
Divide Numerator by denominator:-

87/20
87 ÷ 20 = 4.35

4 7/20 = 87/20 = 4.35
4 7/20 = 4.35

The decimal form of a number 4 7/20 is, 4.35

Now, We can Convert to improper fraction:-

4 7/20

20 × 4 = 80

80 + 7 = 87

Hence, Improper fraction:-

= 87/20

Now, We can Turn into decimal:-

Divide Numerator by denominator:-

87/20

87 ÷ 20

= 4.35