Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
(i) the minimum value of f(x).
(ii) the value of x for which f (x) is a minimum

Answer:

y = -5x - 1

Step-by-step explanation:

NOTE: This equation is in slope-intercept form. The equation in point-slope form is y - 4= -5(x + 1).

The formula for calculating slope-intercept form is y = mx + b.

Substitute the slope and the x and y intercepts for the equation: 4 = -5(-1) + b

4 = 5 + b

Subtract 5 from both sides.

So, -1 = b.

Now substitute the slope for m and -1 for b.

y = -5x + -1

= y = -5x - 1

Answer:

1/18 pound each

Step-by-step explanation:

Take the number of pounds and divide by 12 people

2/3 ÷12

Copy dot flip

2/3 * 1/12

Rewriting

2/12 * 1/3

1/6 * 1/3

1/18 pound each

Answer:

Each person will get 1/18 pounds of spice from the bag

Step-by-step explanation:

Divide 2/3 by 12:

Make 12 a fraction by adding 1 as the denominator:

2/3 ÷ 12/1

Reciprocate the second fraction:

2/3 ÷ 1/12

Turn it into multiplication:

2/3 x 1/12 = 2/36

SIMPLIFY 2/36:

2/36

Divide both sides by 2:

1/18

so your answer is 1/18

I hope I helped!

Answer:

Option A

Step-by-step explanation:

multiple each coordinate by 1/2

Answer: To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y=x: (y, x).

Answer:

HEY IMAGE IS BLUR

Step-by-step explanation:

Answer:

Step-by-step explanation:

The trick here is to make sure that the units are standard units, like miles / hour.

10 minutes = 10 / 60 hours.

k = 1/6 of an hour

y = k x

k = y/x

k = 8 miles / 1/6 of an hour

k = 8 * 6 // 1/6 * 6

k = 48 miles / hr

y = k x

y = 48 * x

Answer: 12

11x - 2 = 130

11x = 130 + 2

11x = 132

x = 132/11

x = 12

Now with value x the angle will be 130 and using converse of corresponding angles theorem line v and u will be parallel

Answered by Gauthmath must click thanks and mark brainliest

lol sorry i dont even know i just want points  xd

Answer:

Step-by-step explanation:

25%=25/100= 1+4=5

1 is loss on selling price 4 so cost price =1+4=5

Then loss on cost price = 1/5x100=20%

Answer:

CB = 17

Step-by-step explanation:

This is an isosceles triangle so AC = AB

x+9 = 2x-8

Subtract x from each side

x+9-x =2x-8-x

9 = x-8

Add 8 to each side

9+8 = x-8+8

17 = x

CB = x

CB = 17

Solution :

A scatter plot is defined as the mathematical representation of two variables of a given data set. It shows the relationship between the two variables and is plotted graphically.

In the scatter plot attached below, in the x-axis, the number if ice creams are plotted. And the y-axis shows the sales revenue generated by selling ice creams.

Thus the point (12, 190) shows that by selling 12 ice creams, the company generated a sale of $190.

Answer:

what they said was the best explanation

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

9+2(3+4)

PEMDAS

Parentheses first

9+2(7)

Then multiply

9+14

Then add

23

Answer:

23

Step-by-step explanation:

9+2(3+4)

=9+(2)(7)

=9+14

=23

Answer:

13. 100* : 14. 111* : 15. 125* : 16. 47*

Step-by-step explanation:

13. Same side interior angles add to 180.

14. Alternate interior angles equal each other.

15. Alternate interior angles equal each other.

16. Opposite angles equal each other.

Answer:

b. y = x + 3

e. y = 2x + 5

Step-by-step explanation:

here is your formula: y = mx + b

x is your slope and b is your y-intercept

Hope this helps

Step-by-step explanation:

I don't know, if I see the full picture. I see only 2 diagrams.

since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.

and something might be wrong with your translation description.

but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.

Answer:

$16.8

Step-by-step explanation:

Given data

We have the given function as

C= 1.80 + 1.5d

Let us substitute the value of d=10 in the expression

C= 1.80 + 1.5*10

C=1.80+15

C=16.8

Hence the cost of the ride for 10 miles is $16.8

Answer:

2×sqrt(6)×w⁷

Step-by-step explanation:

what I can read here, you need to simplify

sqrt(24×w¹⁴)

= sqrt(24)×sqrt(w¹⁴) = sqrt(4×6)×sqrt(w¹⁴) =

= 2×sqrt(6)×sqrt(w¹⁴)

and taking the square root of something with exponent simply means dividing that exponent by 2

so,

2×sqrt(6)×w⁷

Answer:

see explanation

Step-by-step explanation:

First we need to convert 600 miles per hour into feet per hour,

which is

# 3.168e+6

next, divide both by 60 to get feet per minute, then divide by 60 again on both sides to get feet per second

which is

#880 ft per second

Step-by-step explanation:

Let S be the sample space

S={HH, HT, TH, TT}

n(S)= 4

A: both the coins with some place

B: both the coins with different place

C:at least one tail

D:at the most one head

1) A={TT,HH}

n(A)=2

P(G)= n(A)/n(S)

= 2/4

= 1/2

2) B ={HT, TH}

n(B) = 2

P(B) = n(B)/n(S)

= 2/4

= 1/2

3) C= {HT, TH, TT}

n(C)=3

P(C) = n(C)/n(S)

= 3/4

4). D={HT, TH}

n(D) = 2

P(D) = n(D)/n(S)

= 2/4

=1/2

Answer:

I can't help but I hope you succeed

Answer:

1.) Reflect across x-axis

2.) Reflect across y-axis

3.) Move to the right by one unit

Step-by-step explanation:

The reflection rule is ''about the origin''.

Used the concept of reflection that states,

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the origin, the x-coordinate and y-coordinate do not change places and are negated.

Given that,

Two figures VWGY and V'W'G'Y' is shown in the figure.

From the figure,

V = (0, - 2)

W = (- 1, 0)

G = (2, 0)

Y = (5, - 4)

V' = ((0,  2)

W' = ( 1, 0)

G' = (- 2, 0)

Y' = (- 5, 4)

Hence the coordinate satisfies the rule (x, y) → ( - x, - y).

So, the reflection rule is about the origin.

To learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ4

Answer:

Step-by-step explanation

Answer:

Step-by-step explanation:

To answer this we need only know that negative parabolas are upside down, so by definition, it has a max point at the vertex. To find the vertex (h, k), the easy way to do this is to fill in the following expressions for h and k and solve:

[tex]h=\frac{-b}{2a}[/tex]  and  [tex]k=c-\frac{b^2}{4a}[/tex] (These are derived from the quadratic formula). Filling in knowing our a = -1, b = -7, c = 12:

[tex]h=\frac{-(-7)}{2(-1)}=\frac{7}{-2}=-\frac{7}{2}[/tex]  and

[tex]k=12-\frac{(-7)^2}{4(-1)}=12-(\frac{49}{-4})=12+\frac{49}{4}=\frac{97}{4}[/tex] so the vertex (aka max height occurs at [tex](-\frac{7}{2},\frac{97}{4})[/tex]. Depending upon what is meant by stating the max value, we may only need to state the k value (which is the same as the y coordinate, which is an up or down thing as opposed to the x value which is a side to side thing). The domain is all real numbers, as is the case for all x-squared parabolas, and the range is

R = {y | y ≤ 97/4}

I can't see your choices so match them up from these answers to the ones in the list of choices.

Answer:

[tex]1\frac{1}{2}[/tex] hours per acre

Step-by-step explanation:

Unit rate in hours per acre = Total hours ÷ acres

                                            = [tex]4\frac{1}{8}[/tex] ÷ [tex]2\frac{3}{4}[/tex]

                                             [tex]=\frac{33}{8}[/tex] ÷ [tex]\frac{11}{4}[/tex]

                                             [tex]= \frac{33}{8}*\frac{4}{11}\\\\= \frac{3}{2}\\\\= 1\frac{1}{2}[/tex]

Answer:

Expectancy theory

Step-by-step explanation:

We are told that as long as he receives C grades or better, he maintains his current grade point average.

This means that;

There is a large tendency for him to work just hard enough to earn a c grade.

This depicts vrooms expectancy theory of motivation which is defined as a theory whereby a person or persons will act in a particular way just for the sake of what they will gain from exhibiting that particular selected behavior instead of others.

Answer:

64 is the answer

Step-by-step explanation:

p / 4 = 16

p = 16 x 4

p = 64

Answer:

-17

Step-by-step explanation:

Answer:

f^-1(x) = -1/5(x+11)

Step-by-step explanation:

f(x) = -5x - 11

y  = -5x - 11

Exchange x and y

x = -5y -11

Solve for y

x+11 = -5y-11+11

x+11 = -5y

Divide by -5

(x+11)/-5 = -5y/-5

-1/5(x+11) = y

f^-1(x) = -1/5(x+11)

Answer and Step-by-step explanation:

I think you have to factor the expression.

You can take out [tex]a^3[/tex], to get the expression:

[tex]a^3(10a^6-33)[/tex] <- Answer.

When multiplying values with exponents, the exponents add together, and when dividing values with exponents, the exponents subtract from each other.

In this situation, we divided [tex]a^3[/tex] from the expression, with the expressions having exponents of 9 and 3. We subtract 3 from 9 and 3 from 3, resulting in the 6 and 0 (not shown because it isn't needed to show).

#teamtrees #PAW (Plant And Water)

Answer:

2:3

Step-by-step explanation: