Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24?
(Answers attached)

Answer:

The slope is 2/3

Step-by-step explanation:

Slope is the change in Y over the change in X.

ΔY / ΔX     (That triangle symbol just means the change)

So subtract y2-y1 then x2-x1

-2-(-4) (the two negatives cancel out to a positive so you are left with -2+4)

then 3-0

-2+4= 2

3-0= 3

2/3

Answer: -2

Step-by-step explanation:

We can find the slope  by using

m = (y2-y1)/(x2-x1)

 = (-2 -4)/( 3-0)

 = -6/3

=-2

Answer:

229.50 ÷ 8.50= 27 people

Answer:

[tex]w=1\text{ or } w=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5-3|2+2w|=-7[/tex]

First, subtract 5 from both sides:

[tex]-3|2+2w|=-12[/tex]

Divide both sides by -3:

[tex]|2+2w|=4[/tex]

Definition of Absolute Value:

[tex]2+2w=4\text{ or } 2+2w=-4[/tex]

Divide both sides of the equation by 2 for both equations:

[tex]1+w=2\text{ or } 1+w=-2[/tex]

Subtract 1 from both sides:

[tex]w=1\text{ or } w=-3[/tex]

And we're done!

To check:

[tex]5-3|2+2(1)|=-7[/tex]

Multiply:

[tex]5-3|2+2|=-7[/tex]

Add:

[tex]5-3|4|=-7[/tex]

Multiply:

[tex]5-12=-7[/tex]

Subtract:

[tex]-7\stackrel{\checkmark}{=}-7[/tex]

And:

[tex]5-3|2+2(-3)|=-7[/tex]

Multiply:

[tex]5-3|2-6|=-7[/tex]

Subtract:

[tex]5-3|-4|=-7[/tex]

Absolute Value:

[tex]5-3(4)=-7[/tex]

Multiply:

[tex]5-12=-7[/tex]

Subtract:

[tex]-7\stackrel{\checkmark}{=}-7[/tex]

*see the figure referred to in the attachment below.

Answer:

x < 14

Step-by-step explanation:

The figure given is a triangle with base (b) = x, and height (h) = 6 m.

We are told that the area is less than 42 m². To write an inequality that represents the base (b) = x, let's find the area of the triangle and create an inequality statement.

Area of ∆ = ½*b*h = ½*x*6

Area = x*3 = (3x) m²

The area is less than 42 m², as stated in the question. Which means, the inequality statement would be:

3x < 42

Divide both sides by 3

3x/3 < 42/3

x < 14

The inequality representing the missing dimension (the base) is x < 14

he has less marbles

Step-by-step explanation:

Answer:

79.83

I rounded to the nearest hundredth

Answer:

r=168

Step-by-step explanation:

Answer:

  x - 18 = 21

Step-by-step explanation:

In math, the description, "the difference between p and q" is written as ...

  p - q

Then the difference between x and 18 is ...

  x - 18

When we say that "is 21", we mean it is equal to 21:

  x - 18 = 21

What's the question?

Answer:

Width = 8 m

Length = 32 m

Step-by-step explanation:

Width = w

Length = 4w

Perimeter = 80 m

2*(length +width) = 80

2 *(4w +w ) = 80

       2* 5w  = 80

           10w = 80

               w = 80/10

                w = 8 m

Width = 8 m

Length = 4 * 8 = 32 m

Answer:

6 x (-4)

= (-24)

Step-by-step explanation:

when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.

NOTE: if a number doesn't have a sign, it's a positive number

Answer:

230

Step-by-step explanation:

use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides

Answer:

x² - 8x + 16

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

Answer:

.525

Step-by-step explanation:

Five hundred twenty-five thousandths is a decimal number will be 0.525.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.

The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-

Five hundred twenty-five thousandths = 0.525

Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.

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Given:

Time = 4 hours

Distance = 240 miles

To find:

The speed or the rate mile per hour for Mrs. Rice's drive.

Solution:

We know that,

[tex]Speed =\dfrac{Distance}{Time}[/tex]

On substituting the given values, we get

[tex]Speed =\dfrac{240}{4}[/tex]

[tex]Speed =60[/tex]

Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.

Answer:

1/3

Step-by-step explanation:

We have 6 slices

2 are yellow

P ( yellow) = number of yellow / total

                 = 2/6

                  = 1/3

Answer:. 1/3 probability that it stops on yellow.

Step-by-step explanation:

There are 6 possible outcomes. 2 are the incidents that you are looking for.

Make a ratio 2:6 or a fraction 2/6

Then simplify or reduce the fraction. 2/6 = 1/3

Answer:

-34.64

Step-by-step explanation:

-20.3-14.34

-34.64

Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)

Step-by-step explanation:

Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).

*edmentum answer*

Answer:

9.225 x 10^18 is what it is in standard form

Step-by-step explanation:

Answer:

ummm, it should be 9,225,000,000,000,000,000. =D

Step-by-step explanation:

move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!

We'll use the following log rules

================================================

Part 1

-------------

Work Shown:

Ln(100) = Ln(4*25)

Ln(100) = Ln(2*2*5*5)

Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1

Ln(100) = a+a+c+c

Ln(100) = 2a + 2c

================================================

Part 2

-------------

Work Shown:

Ln(2.4) = Ln(24/10)

Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]

Ln(2.4) = Ln[ (2*2*3)/5 ]

Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2

Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1

Ln(2.4) = a+a+b-c

Ln(2.4) = 2a+b-c

================================================

Part 3

-------------

Work Shown:

Ln(0.003) = Ln(3/1000)

Ln(0.003) = Ln[ 3/( 10^3) ]

Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2

Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3

Ln(0.003) = Ln(3) - 3*Ln(2*5)

Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1

Ln(0.003) = b - 3*( a + c )

Ln(0.003) = b - 3a - 3c

Ln(0.003) = -3a + b - 3c

================================================

Part 4

-------------

Work Shown:

All logs shown for this part are in base 2

log(5400) = log(54*100)

log(5400) = log(6*9*4*25)

log(5400) = log(2*3*3*3*2*2*5*5)

log(5400) = log(2^3*3^3*5^2)

log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1

log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3

log(5400) = 3a + 3b + 2c

Answer:

there r algebra calulators you could use

Step-by-step explanation:

Answer:

Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,

Step-by-step explanation:

Answer:

a) 118

b) 55

Step-by-step explanation:

a) Originally, there are 2 red balls and a total of 17 balls.

8/9 = (2 + x) / (17 + x)

8 (17 + x) = 9 (2 + x)

136 + 8x = 18 + 9x

x = 118

b) Originally, there are 8 white balls and a total of 17 balls.

1/9 = 8 / (17 + x)

17 + x = 72

x = 55

It wont let me just put the number

20.2

Answer:

20.2

Step-by-step explanation:

because 155 can be rounded to 200 and you can take the zeros off

Answer:

If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.

Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:

33 = 100

25 = X

(25 x 100) / 33 = X

2500/33 = X

75.75 = X

25/33 = X

Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.

Answer:

C

Step-by-step explanation:

it represents both a relation and a function

Answer:

The correct answer is C. It represents both a relation and a function.

Step-by-step explanation:

I got it right on the Edmentum test.

Answer:

Step-by-step explanation:

is it 34 because you haven't moved the bodies. however including you there's 35???

This is a simple algebra problem. The answer is 5.

We know that:

Initially, there are 34 people in the garden.

Then you enter, so now there are 35.

Then we lose 30 of these people, so the final number of people in the garden will be: 35 - 30 = 5

Finally, there are 5 people in the garden.

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Answer:

hello your question is incomplete here is the complete question

write the expression as the sine, cosine,  or tangent of an angle.

[tex]sin 60 cos 15 + cos 60 sin 15[/tex]

answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]

Step-by-step explanation:

To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity

[tex]sin 60 cos 15 + cos 60 sin 15[/tex]  can be represented in the form of ;

sin( u + v ) = sin u cos v + cos u sin v --------- (1)

comparing equation 1 with the given expression

u = 60 and v = 15

therefore writing the expression in the form of the sine of an angle would be the answer

= sin( 60 + 15 )  = sin 60 cos 15 + cos 60 sin 15

hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15

Answer:

Perpendicular Bisector Equation: y = 12x - 9.500

Step-by-step explanation:

Let find out the midpoint for given coordinates as follows:

[(-5+7)/2, (3 +2)/2]

= (2/2, 5/2)

= (1,5/2)

The midpoint coordinates are (1,5/2) means (x1 , y2)

2. Find the slop of line for given coordinates as follows:

(2-3)/(7-(-5)

= -1/12

3. Find the negative reciprocal as follows

-1/12

= 12 (m)

4. Now find the perpendicular bisector equation as follows:

y – y1 = m ( x – x1)

y – 3 = 12 (x – (-5)

y = 12x - 9.5

The required equation of the line is x + 12y = 41 which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).

A perpendicular bisector is defined as a line that divides an angle into two equal angles.

The perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).

We have to determine the equation of the line

Let x₁ = -5, y₁ = 3 and x₂ = 7, y₂ = 2

The required of equation line is:

y - y₁ = (y₂ - y₁ )/( x₂ - x₁ )( x - x₁ )

Substitute the values in the formula to get the line,

y - 3 = (2 - 3)/(7 - (-5))(x - (-5))

y - 3 = (-1/12)(x+5)

12y - 36 = -x -5

x + 12y = 41

Thus, the required equation of the line is x + 12y = 41.

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