3 | 2x – 3| -5 = 4

Absolute value equations

Answer:

385

Step-by-step explanation:

[tex]t_{n}=a+(n-1)d\\t_{100}=-11+(100-1)4\\t_{100}=-11+99 \times ~4\\=-11+396\\=385[/tex]

Answer:

-8

So A and C are the correct answers

Step-by-step explanation:

A) -8 because -2 -6 = -8

B) -6 because 1 - 7 = -6

C) -8 because 5 - 13 = -8

D) -2 because 3 - 5 = -2

Hope that helped!!!

Answer:

(A) and (C)

Step-by-step explanation:

To find equivalent expressions, we need to first find the value of the original, [tex]-3+(-5)[/tex]

Adding a negative is the same as subtracting a positive. So, it's equivalent to  [tex]-3-5[/tex], which is [tex]-8[/tex].

Now we test all the other expression to see if they equal -8.

A:

[tex]-2 + (-6)\\\\-2-6\\\\-8[/tex]

So this works.

B:

[tex]1 + (-7)\\\\1 - 7\\\\-6[/tex]

So this doesn't work.

C:

[tex]5+(-13)\\\\5-13\\\\-8[/tex]

So this works.

D:

[tex]3+(-5)\\\\3-5\\\\-2[/tex]

So this doesn't work.

Hope this helped!

Answer:

yes

Step-by-step explanation:

555 is a positive integer and the integers are rational numbers

Step-by-step explanation:

yes

555 can write in fraction a/b

=

[tex] \frac{555}{1} [/tex]

Answer: The required value of z is 6.

Step-by-step explanation: Given that 5+2z is 3 more than 3z-4.

We are to find the value of z.

According to the given information, the equation expressing the given statement mathematically can be written and solved as follows:

5+2z=(3z−4)+3

⇒5+2z=3z−1

⇒3z−2z=5+1

⇒z=6.

Thus, the required value of z is 6.

Answer:

x=0

Step-by-step explanation:

1) x-6/6= -1 is the equation

2) To get rid of the denominator, multiply both sides by 6 to get x-6= -6

3) Add 6 on both sides to get x=0

Answer:

1.) 4 and -4.

2.) 1.25 and -1.25

3.) 2 1/4 = (I dont have any absolute value signs on my keyboard but its

2 1/4  with absolute value signs.

Answer:

12 inches

Step-by-step explanation:

if it is a square then you do 3×4 to get the perimeter

Step-by-step explanation:

Hope it helps you in your learning process.

Hey there! I'm happy to help!

This is a solution because x has the same value as y. They are both 6.

I hope that this helps! Have a wonderful day! :D

Answer:

Yes.

Step-by-step explanation:

(6,..): this is the x-coordinate

(...,6): this is the y-coordinate.

6=6, so yes, this is a solution to y=x.

Answer:

Adding 5 seconds would give

Mean= X`= 258.8 seconds

Standard Deviation=S=   82.8 seconds

The standard deviation remains the same.

Mean z= 0

Standard Deviation z= 1

Step-by-step explanation:

Mean= 4.23 minutes,

Standard Deviation=  1.38 minutes

He wants to add 5 seconds of silence between songs,

So we will convert these minutes into seconds

Mean= 4.23 minutes * 60= 253.8 seconds

Standard Deviation=  1.38 minutes* 60= 82.8 seconds

Adding 5 seconds would give

Mean= X`= 4.23 minutes * 60 +5 = 258.8 seconds

Standard Deviation=S=  1.38 minutes* 60= 82.8 seconds

The standard deviation remains the same.

b. Transforming into z- scores would give

Mean z= x`-u/s= 4.23-4.23/1.38= 0

Standard Deviation z= s/s= 1.38/1.38= 1

This is because changing into z- scores is simply a linear transformation.

Answer: B

Step-by-step explanation:

On a coordinate plane, a triangle is shifted up is the area that shows only a vertical translation from the shaded figure onto the unshaded figure (Image attached).

Vertical translation is known to be a term that connote  the up or down movement that takes place in a graph of a function.

It is also called the movement or the shifting of the graph amidst the y-axis. Note that in vertical translation, all the point on the graph often moves k units vertically.

See full question below

Which shows only a vertical translation from the shaded figure onto the unshaded figure?

On a coordinate plane, a triangle is shifted up.

On a coordinate plane, a triangle is shifted to the left.

On a coordinate plane, a triangle is enlarged to form another triangle.

On a coordinate plane, a triangle is shifted up and to the left.

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Answer:

108

Step-by-step explanation:

72/ 6 = 12

12 x 9 = 108

Answer:

x=6

Step-by-step explanation:

3x+1=x+13

2x=12

x=6

Answer:

1 2/3a+o=5 1/2

Step-by-step explanation:

1 2/3 pounds of apples plus the weight of oranges is equal to 5 1/2 pounds. The weight of the oranges can be found by subtracting the weight of apples from the total weight, which is 3 5/6 pounds.

The equation which represents the number of oranges and apples is 1²/₃a+o=5¹/₂.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Nancy bought 5¹/₂ pounds of apples and oranges. If she bought 1²/₃ pounds of apples.

The equation will be written as,

1²/₃a+o=5¹/₂.

1²/₃ pounds of apples plus the weight of oranges is equal to 5¹/₂ pounds. The weight of the oranges can be found by subtracting the weight of the apples from the total weight, which is 3⁵/₆ pounds.

Therefore, the equation which represents the number of oranges and apples is 1²/₃a+o=5¹/₂.

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#SPJ3

Answer:224 squared

Step-by-step explanation:

H

Answer:

9

Step-by-step explanation:

2(x-11) + 5-1

We can use the distributive property:

2x - 22 + 5 - 1

We can then simplify:

2x - 18

In this case, if 2x - 18 = 0, then 2x = 18 and x = 9.

Answer:

2x-18

Step-by-step explanation:

[tex]2(x-11)+5-1\\[/tex]

Expand

[tex]2\left(x-11\right):\quad 2x-22[/tex]

Slot it into the equation

[tex]=2x-22+5-1[/tex]

Add/subtract the numbers

[tex]-22+5-1=-18\\\\=2x-18[/tex]

Answer:

In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.

Step-by-step explanation:

Answer:

A point

Step-by-step explanation:

In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces).

Answer:

x= 0

FO=20

OG=20

FG=40

Step-by-step explanation:

FG=FO+OG

3x+10=x+10+x+10

3x+10=2x+20

20=x+10

10=x

Answer:

I'm pretty sure its choice c and d i'm sorry if its not i did all the math, although i might have gotten it wrong, just double check.

Step-by-step explanation:

Answer:

1)

b) Profit divided by number of writers

c) Profit divided by expenses

2)

b) Yes. According to both definitions, website B generates more profit per resource invested.

Answer:

[tex]\frac{6}{7}[/tex]

Step-by-step explanation:

The division symbol is also the middle line in a fraction. Since both are negative it results in a positive fraction.

Hope that helped and have a great day!

Answer:

2/3

Step-by-step explanation:

2/12+4/9

Find a common denominator

16/72+ 32/72

48/72

Simplify

=2/3

Hope this helps

Answer:

[tex]\large\boxed{\tt y = 4}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked for the value of y.}[/tex]

[tex]\textsf{To begin, we are given an equation. Note that our goal is to find y, so we should}[/tex]

[tex]\textsf{isolate y.}[/tex]

[tex]\large\underline{\textsf{To Isolate y;}}[/tex]

[tex]\textsf{Usually, isolation is segregation, or to keep alone. Basically, y should be the only}[/tex]

[tex]\textsf{term on the left side of the equation.}[/tex]

[tex]\large\underline{\textsf{To Solve;}}[/tex]

[tex]\textsf{We just need to isolate y, then we should have our value.}[/tex]

[tex]\large\underline{\textsf{Our Equation;}}[/tex]

[tex]\tt y+(-5)=-1[/tex]

[tex]\textsf{Note that when we add a negative, we are actually subtracting.}[/tex]

[tex]\tt y-5=-1[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Remove -5 on the left side by adding 5 to both sides of the equation.}[/tex]

[tex]\tt y-5+5=-1+5[/tex]

[tex]\underline{\textsf{Hence;}}[/tex]

[tex]\large\boxed{\tt y = 4}[/tex]

Answer:

C.Another plane

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

120*(5/5-3/5)

120*(2/5)

24*2

48

Answer:

x = -7

Step-by-step explanation:

First, we simplify:

-3x = 21

Then, we divide -3 on both sides:

x = -7

Hope this helps ^^

Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

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

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

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

[tex]Speed = \frac{4/5 miles}{1/3hour}[/tex]

[tex]Speed = \frac{4}{5} \times \frac{3}{1}[/tex]

[tex]Speed = \frac{12}{5}[/tex]

[tex]Speed = 2.4 miles/hour[/tex]

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

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

[tex]Speed = \frac{5/6miles}{5/12 hour}[/tex]

[tex]Speed = \frac{5}{6} \times \frac{12}{5}[/tex]

[tex]Speed = 2 miles/hour[/tex]

Hence, Kamlee's speed is 2 miles/hour

Step-by-step explanation:

A is the correct answer of this question

The slopes that could have be plotted on the coordinate grid are -7 and 1/7

Before we determine the required slope of the two lines, we must understand that:

So, we choose the options that the product of the slopes equals -1

For option A:

[tex]product = 2 \times 1/2\\product = 1[/tex]

Hence option A is incorrect

For option B;

[tex]product = 4 \times - 4 = -16\\[/tex]

Hence option B is incorrect

For option C.

[tex]product = 1/3 \times 1/3\\product = 1/9[/tex]

Hence option C is incorrect

For option D;

[tex]product = -7 \times 1/7\\product = -1[/tex]

This shows that the slopes that could have been plotted on the coordinate grid are -7 and 1/7

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