The diagram shows the distance between my home, H. and two towns, A and B.

It also shows information about journey times.

What is the average speed of the journey from my home to town A?

Answer:

 A) y = 3(x -3)^2 -46

 B) (3, -46)

 C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

 y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

 y = 3(x^2 -6x +9) -19 -3(9)

 y = 3(x -3)^2 -46

__

B) Compared to the vertex form, ...

 y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

__

C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

compitative property

Answer=

D

Step-by-step explanation

because of the dot/line at the top of the number it means it is a continuous same number

for example, 0.3 with a dot/line on top means it is 0.333333...

so 0.55...+0.33...=0.88...

and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100

Answer:

-1.25x-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 80 i just did the question

Each case contains 80 butterfly kits.

Unitary method is a mathematical technique for finding the value of a single unit and then deriving the given unit by multiplying with it.

According to the given question Ms. Rivera ordered 6 cases of butterfly kits last year out of which the school used 417 of the butterfly kits and had 63 left over after the festival.

So, the total no. of butterfly kits is (417+63) = 480 kits and it was contained in 6 boxes.

∴ The no. of butterfly kits in each case is 480/6 which is

= 80 butterfly kits.

learn more about unitary method here :

https://brainly.com/question/23423168

#SPJ2

Answer:

find the vertical asymptote of the graph of f(×) = (×+3) +2.

Step-by-step explanation:

the answer as shown in the photo

Answer: {x,y} = {-3,-4}

Step-by-step explanation:

Answer: It is C

Step-by-step explanation:

[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Mark me as brainlist plz :)

Answer:

f(-4a) = -16a + 8

Step-by-step explanation:

Substitute -4a into the equation

4x(-4a) + 8 = -16a +8

Answer:

6.15

Step-by-step explanation:

10 gallons is 80/8

1 5/8= 13/8

80 divided by 13 is 6.15384615385 but rounded 6.15

6.15 hours

if its not that then keep rounding to 6.2 or 6hrs

Answer:

the slope of the line is -2.

Step-by-step explanation:

Answer:

559

Step-by-step explanation:

[tex]sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}[/tex]

now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.

let's recall something else, that same/same = 1, so

[tex]\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1[/tex]

therefore

[tex]\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}[/tex]

Answer:

Ramona spent 110 minutes on homework

Step-by-step explanation:

You want to add up all the minutes spent on homework altogether.

20 +20 = 40

40 + 40 = 80

80 + 30 = 110

110 + 0 = 110

So, Ramona spent a total of 110 minutes on homework. Hope this helps!

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

Answer:

im not low on points but thank you <3.

Step-by-step explanation:

Answer:

:) :) :) :) :) :) :) :) :) :)

Answer:

all the numbers +

Step-by-step explanation:

Answer:

R(x)=2x.

Step-by-step explanation:

We get the total revenue by multiplying the revenue per unit times the numbers of units sold, so the general Revenue function is given by

R(x)=selling price per unit⋅x.

The manufacturer sells each energy drink for $2 so the Revenue function is :R(x)=2x.

Answer:

$0.10

Step-by-step explanation:

Answer:

Area = 4x^2 + 12x + 9

Perimeter = 8x + 12

Step-by-step explanation:

Answer:

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.

The magnitude of the resultant force can be found by applying the law of cosines:

c2 = a2 + b2 - 2abcos140°

where a = 80, b = 70 and c is the resultant force vector you are asked to find

Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:

sinα/a = sin140°/c

where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs

Step-by-step explanation

Therefore, the sentence is Equivalent.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls