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DO A.

Answer:

f(4y) = -8y - 3

Step-by-step explanation:

Step 1: Define variables

f(x) = -2x - 3

f(4y) = x = 4y

Step 2: Plug in x = 4y

f(4y) = -2(4y) - 3

f(4y) = -8y - 3

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:

[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]

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:

No, they are not equivalent.

Step-by-step explanation:

2^5 means 2 to the 5th power, so we multiply it by itself 5 times.

2x2x2x2x2=32

Same as 5^2

5x5=25

32>25

There is your answer, no.

Answer:

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

Step-by-step explanation:

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:

-433

Step-by-step explanation:

Step 1: Define

-5(4 + 9s) - 7(4q - 6)

s = 7

q = 5

Step 2: Simplify expression

Distribute: -20 - 45s - 28q + 42

Combine like terms: -45s - 28q + 22

Step 3: Substitute

-45(7) - 28(5) + 22

Step 4: Evaluate

-315 - 140 + 22

-445 + 22

-433

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:

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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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: 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:

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

*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

Answer:

70.4 is 80% of 88

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!

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:

Try the light blue one, I really just guessing but good luck!!

Answer:

The correct option is;

f(x) = {x - 1 if -3 ≤ x < 1 f(x) = {-3·x + 9, if 2 ≤ x ≤ 4

Step-by-step explanation:

The given coordinates of the points are;

For the first segment

Beginning point [-3, -4] (inclusive)

Endpoint (1, 0), (noninclusive)

For the second segment

Beginning point [2, 3] (inclusive)

Endpoint [4, -3] (inclusive)

The equation of the first segment is therefore;

y - 0 = (0 + 4)/(1 + 3)×(x - 1) = 1 × (x - 1)

y = x - 1

The equation of the second segment is found as follows;

y + 3 = (-3 - 3)/(4 - 2)×(x - 4) = -3 × (x - 4)

y + 3 = -3 × (x - 4) = -3·x + 12

y = -3·x + 12 - 3 = -3·x + 9

Therefore, we have;

f(x) = {x - 1 if -3 ≤ x < 1 and f(x) = {-3·x + 9, if 2 ≤ x ≤ 4

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

Answer:

there r algebra calulators you could use

Step-by-step explanation:

What's the question?

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:

X<-4.5

Step-by-step explanation:

firstly group like terms ,You divide both side by -5 and the answer was -4.5

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:

34²/7

Step-by-step explanation:

Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank

The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16

The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30

¹/16-¹/30= ?

Get the LCM of the denominator which is 240

The fractions are now

15/240-⁸/240=⁷/240

1week=⁷/240 empty

? = 240/240 empty

Cross multiple

240/240×1÷7/240

240/240×1÷240/7=240/7

7÷240=34²/7 weeks

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