Twice a number plus 3 is the same as the number minus 6 find the number it is a linear equation

I need help with this math problem

hello

let's get the functions out first

distanceSolution:

Given that a toy car placed on the floor travels at a constant acceleration for 3 seconds reaching a velocity of 4v m/s, we have

It slows down with a constant deceleration of 0.5 m/s² for 4 seconds before hitting a wall and stopping. This is as shown below:

Thus, the velocity-time graph for the toy car is as shown below:

The total distance traveled by the toy car is evaluated by calculating the area of the triangle ABC. Thus,

Hence, the

The value of expression |2x+5| - 8y is -89 when x = -6 and y =12

Expression is a combination of numbers, variables and Operators.

The given expression is mod two x plus 5 minus eight y.

|2x+5| - 8y

This expression has addition, subtraction and multiplication operators.

Given value of x is minus six and y is equal to twelve.

x=-6 and y=12

plug in values of x and y in expression

|2(-6)+5|-8(12)

|-12+5|-96

|-7|-96

The value in mod will be always taken as positive

7-96

-89

Hence the value of expression |2x+5| - 8y is -89 when x = -6 and y =12.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Answer:

8.5 and 10.5

Step-by-step explanation:

add your x1 and x2 coordinate and divide them by 2 to get your x.

and for the y add your y1 and y2 coordinate and divide them by 2 to get your y.

The x1, x2, y1, and y2 in this situation would be (5,14) (being the bridge)

and (12,7) being the castle.

x1 = 5

x2 = 12

y1 = 14

y2 = 7

Answer:

x = 241 1/3
    ————
      5 1/3

Step-by-step explanation:

Answer:

x = ^3(square root )of 18075   or 5.24875253...

     -----------------------

              5

Step-by-step explanation:

isolate the variable by deviding each side by factors that dont contain the variable

hope this helped have a good day ^^

because, the quotient has an integer in its denominator

Explanation

A rational number is a number that is expressed as the ratio of two integers

hence

for

we can solve the root in the denominator, so we have

so, as the number can be expressed as the ratio of two integers ( 20 and 4) we can conclude

because, the quotient has an integer in its denominator

I hope this helps you

The reason for the required step using property of equality are as follow:

1.  Subtraction property of equality.

2. Subtraction property of equality.

3.  Addition property of equality.

As given in the question,

The reason for the required step using property of equality are as follow:

1. 3x + 3 = 5 + x

3x - x + 3 = 5

2x + 3 = 5

Here

Subtraction property of equality is applied.

If x, y, and z are real numbers and x = y

then

x - z = y - z

2. 2x + 3 = 5

2x = 5-3

2x = 2

Here Subtraction property of equality is applied.

If a, b, and c are real numbers and a = b, then

a - c = b - c

3. -x - 1 = 3

-x = 3 + 1

-x = 4

Here Addition property of equality is applied.

If x, y and z are real numbers and x = y, then

x + z = y + z

Therefore, the reason for the required step using property of equality are as follow:

1.  Subtraction property of equality.

2. Subtraction property of equality.

3.  Addition property of equality.

Learn more about property of equality here

brainly.com/question/13130806

#SPJ1

Remember that

If the sum of two angles is equal to 180 degrees, then the angles are supplementary

so

In this problem

Let

x ----> the missing angle

x+34.6 =180 degrees -----> by form a linear pair (supplementary angles)

solve for x

x=180-34.6

Answer: C, D

Step-by-step explanation:

Answer C is correct because 2/5 is 0.4 and 0.55 is greater than 0.4.

Answer D is correct because 2/5 is 0.4 and 3/4 is 0.75 therefore 0.75 is greater than 0.4.

Answer:

C and D

Step-by-step explanation:

On the number line, the first point is 2/5. 2 divided by 5 gets you .4, so that's why it's at .4. .55 is the next point. .55 is a bigger number than .4, so it would be an answer.

3 divided by 4 gets you .75. 3/4=.75. 2/5=.4. .75 is greater than .4. 3/4 is greater than 2/5

x = -12

Given the following equation

We are to find the variable x. To do that, we will multiply both sides by -2 as shown:

This shows that the value of x for the equation to be true is -12

Check

If x = -12, on substiituting;

Since the result is equivalent to 6, this shows that the solution x = -12 is correct.

The statements are true about the given expressions include the following:

In order to determine whether these expressions are equivalent, we would evaluate the two expressions based on each of the statements:

"When x = 2, both expressions have a value of 18"

7x + 4 = 7(2) + 4 = 14 + 4 = 18.

3x + 5 + 4x - 1 = 3(2) + 5 + 4(2) - 1 = 6 + 5 + 6 - 1 = 18.

"The expressions are only equivalent for x = 4 and x = 6." is false has demonstrated above.

"The expressions have equivalent values for any value of x." is true.

Let x = 1;

7x + 4 = 7(1) + 4 = 7 + 4 = 11.

3x + 5 + 4x - 1 = 3(1) + 5 + 4(1) - 1 = 3 + 5 + 4 - 1 = 11.

Let x = 10;

7x + 4 = 7(10) + 4 = 70 + 4 = 74.

3x + 5 + 4x - 1 = 3(10) + 5 + 4(10) - 1 = 30 + 5 + 40 - 1 = 74.

"The expressions should have been evaluated with one odd value and one even value." is false because all values of x are solutions.

"When x = 0, the first expression has a value of 4 and the second expression has a value of 5." is false because the two expressions are equivalent expressions.

In conclusion, "The expressions have equivalent values if x = 8." is true because the two expressions are equivalent expressions.

Read more on expressions here: https://brainly.com/question/7298204

#SPJ1

Answer:

D

Step-by-step explanation:

Function f is adding to function g, therefore combine the two into one and combine like terms to solve.

Answer:

I litteraly have the same problem and no clue how to do I

Step-by-step explanation:

Using the normal distribution, it is found that:

a) 1.39% of teenagers use their phone less than 5 hours per day.

b) 3.59% of teenagers use their phone more than 10 hours per day.

c) 49.85% of teenagers use their phone between 6 to 8 hours per day.

d) The 75th percentile of the distribution is of 8.59 hours.

The z-score of a measure X of a variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the fraction presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation of the daily amounts they use their phone are given as follows:

[tex]\mu = 7.75, \sigma = 1.25[/tex]

The proportion that use their phone for less than 5 hours a day is given by the p-value of Z when X = 5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (5 - 7.75)/1.25

Z = -2.2

Z = -2.2 has a p-value of 0.0139.

Thus the percentage is of 1.39%.

The proportion that use their phone for more than 10 hours a day is one subtracted by the p-value of Z when X = 10, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (10 - 7.75)/1.25

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359 = 3.59% (percentage).

The proportion between 6 and 8 hours a day  is the p-value of Z when X = 8 subtracted by the p-value of Z when X = 6, hence:

X = 8:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (8 - 7.75)/1.25

Z = 0.2

Z = 0.2 has a p-value of 0.5793.

X = 6:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (6 - 7.75)/1.25

Z = -1.4

Z = -1.4 has a p-value of 0.0808.

0.5793 - 0.0808 = 0.4985 = 49.85% (percentage).

The 75th percentile is X when Z = 0.675, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

0.675 = (X - 7.75)/1.25

X - 7.75 = 0.675 x 1.25

X = 8.59 hours.

Learn more about the normal distribution at https://brainly.com/question/4079902

#SPJ1

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{6 +3}{2 +4} \implies \cfrac{ 9 }{ 6 } \implies {\Large \begin{array}{llll} \cfrac{ 3 }{ 2 } \end{array}}[/tex]

The domain of the function is (-∝,∝) and the range is (3,∝) .

We know that the given function is of the form [tex]y=4^x+3\\[/tex] .

So the possible values of x or the domain will be all real values of x.

Now we know from the properties of indices that for all and any real value of x , [tex]4^x > 0[/tex] so the value of y will always be greater than 3 .

For higher values of x the value of y will be higher.

So the range of the function will include all real values greater than 3

The incoming dataset that a function will accept is its domain in mathematics. Domain(f), where f stands for the operation, is another way to express it.

The relationship between the dependent variable y and the regression coefficient x defines the function

A value is said to be in the domain of a function f if it successfully facilitates the production of a sharp number y using another value for x.

So domain : {x | x∈(-∝,∝)}

range : {y | y∈ (3,∝)}

Hence the domain of the function is  {x | x∈(-∝,∝)} and the

range is {y | y∈ (3,∝)} .

To learn more about function visit:

https://brainly.com/question/12431044

#SPJ9

Answer: UNDEFINED

Step-by-step explanation:

x=-5y+4      5y=-x+4       y=-1/5x+4/5

3x+15y= -1    15y=-3x-1    y=-1/5x-1/15

COMBINED: -1/5x+4/5=-1/5x-1/15 FIND COMMON DENOMINATOR=15

-3/15x=-3/15x-13/15

0=-13/15    UNDEFINED

The dimensions that maximize the area are, 96cm and 84cm.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Let the height of poster be h and breadth be b,

bh = 15630cm square........(1)

Height of the printed area=h-10-10 = h - 20

(decrement of 10 from top and bottom)

the breadth of the printed area b-6-6 = b-12

(decrement of 9 from both sides)

for maximum printed area:

A=(h-20)(b-12) should be maximum

[tex]A = (h - 20)(\frac{15360 }{h}-12)[/tex]

From equation (1)  

[tex]A = 15360-12h-\frac{307200}{h} +240[/tex]

A = 15600 - 12h - (307200/h)

differentiate with respect to h (it should be=0)

[tex]\frac{dA}{dh}= 0-12 + \frac{307200}{h^2}[/tex]

[tex]12 = \frac{307200}{h} \\h = 160 cm[/tex]

from equation (1),

[tex]bh = 15630cm^2\\b = 96cm[/tex]

dimension of printed area,

= h - 20

= 160 - 20

= 140 cm

= b - 12

= 96 - 12

= 84 cm

Therefore, the dimensions that maximize the area are, 96cm and 84cm.

To know more about the area, click on the link

https://brainly.com/question/25292087

#SPJ4

Answer:

y = 3(x - [tex]\frac{4}{3}[/tex] )² + [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

given

y = 3x² - 8x + 13

using the method of completing the square

the coefficient of the x² term must be 1 so divide first 2 terms by 3

y = 3(x² - [tex]\frac{8}{3}[/tex] x) + 13

add/subtract ( half the coefficient of the x- term )² to x² - [tex]\frac{8}{3}[/tex] x

y = 3(x² + 2(- [tex]\frac{4}{3}[/tex] )x + [tex]\frac{16}{9}[/tex] - [tex]\frac{16}{9}[/tex] ) + 13

  = 3(x - [tex]\frac{4}{3}[/tex] )² + 3(- [tex]\frac{16}{9}[/tex] ) + 13

  = 3(x - [tex]\frac{4}{3}[/tex] )² - [tex]\frac{16}{3}[/tex] + [tex]\frac{39}{3}[/tex]

  = 3(x - [tex]\frac{4}{3}[/tex] )² + [tex]\frac{23}{3}[/tex] ← in vertex form

The value represents the climber's change in elevation during the first minute of the training session is  1/5.

Given,

During the second minute of a two-minute training session, a rock climber completed a 12-meter ascent up the wall. The climber returned to the identical location she had been in at the beginning of the two-minute session.

Let x be the distance climbed by the climber is x m

During the first minutes(60 seconds): distance climbed =[tex]\frac{x}{60}[/tex]

In the 2nd minute, they climbed 12 m higher than in the 1st minute.

Now, the distance climbed by the climbed in the Second minute = [tex]\frac{x+12}{60}[/tex]

Now, the change in the elevation during the first minute of the training session= [tex]\frac{x+12}{60}-\frac{x}{60} = \frac{12}{60}=\frac{2}{10}=\frac{1}{5}[/tex]

Hence, the value represents the climber's change in elevation during the first minute of the training session is [tex]\frac{1}{5}[/tex]

To read more about change, visit https://brainly.com/question/17270104

#SPJ4

1.9 × 10^3  is 215 times smaller than 4.085 × 10^5.

The basic formula for the area of ​​a rectangle is length x width, but the basic formula for volume is length x width x height. The calculation does not change depending on how you refer to different measurements. For example, you can use depth instead of height.

Every 3D object occupies a certain space. This space is measured by its volume. Volume is defined as the space occupied within the bounds of an object in three-dimensional space. Also called the capacity of the object. The volume of an object is the amount of space it fills. Large capacity is measured in cubic meters m3. Smaller volumes are measured in cubic centimeters cm3 or cubic millimeters mm3.

Learn more about Times smaller here:-https://brainly.com/question/28502147

#SPJ1

Answer:214.29

Step-by-step explanation:600 divided by 2.8

possibly the answer

The following proof of complementary angle is given below:

it is given that <1 and <2 are complementary and <2 and <3 are complementary. By the definition of complementary angle , m<1 + m<2 = 90 degrees and m<2 + m<3 =90 degrees. By the substitution property, m<1 + m<2 = m<2 + m<3.

Then, m<1 = m<3 by the subtraction property. Therefore, <1 congruent <3 by the complementary angle.

Complementary angle is a pair of angles that sum to a right angle. A right angle is half of the angle formed by a single straight line which is equivalent to 90 degrees.

Given: <1 and <2 are complementary and <2 and <3 are complementary.

prove: <1 congruent <3

The proof of <1 congruent <3 is m<1 + m<2 = m<2 + m<3 by substitution effect and m<1 = m<3 by Subtraction effect

Therefore, the proof of <1 congruent <3 is given by <1 and <2 are complementary and <2 and <3 are complementary.

Read more on complementary angle:

https://brainly.com/question/16281260

#SPJ1

The value of x = 6 of the given expression '13x-11+8x-25 = 90' using the two-column proof.

So, the value of x:

(Refer to the image attached below)

Therefore, the value of x = 6 of the given expression using the two-column proof.

Know more about expressions here:

https://brainly.com/question/723406

#SPJ13

After plotting the equation on the graph, we know that the value of |x| on line "(x + 2)2" is  -0.125 and 0.142.

So, solving "|x| +31-1 = (x + 2)2" by graph:

(Refer to the graph attached below)

Therefore, after plotting the equation on the graph, we know that the value of |x| on line "(x + 2)2" is  -0.125 and 0.142.

Know more about a graph here:

https://brainly.com/question/19040584

SPJ13

As per the compound inequality, the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest is 83 ≤ (82 + 84 + n)/3 ≤ 87; 83 ≤n ≤ 95.

Compound inequality:

A compound inequality is an inequality that merges two inequalities either by using "and" or "or".

Given,

In the recycling contest, you must collect between 83 and 87 pop tabs each week, inclusive for winning.

And suppose you collected 82, and, 84 pop tabs during the first two weeks of competition.

Here we nee to find the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest.

Let us consider n be the number of pop tabs.

So, it can be written using the compound inequality,

=> 83 ≤ (82 + 84 + n) /3 ≤ 87

To cancel the fraction we have to multiply 3 with all of them, then we get,

=> 83 x 3 ≤ (82 + 84 + n) ≤ 87 x 3

=>  249 ≤ (166 + n) ≤ 261

To find the value of n we have to subtract 166, then we get,

=>  249 - 166 ≤  n ≤ 261 - 166

=> 83 ≤ n ≤ 95

To know more about Compound inequality here.

https://brainly.com/question/20296065

#SPJ1

The slope intercept form of the each situation is given by

a) y = 3x + 0

b) y = 14x + 8

c) y = 54x + 8

d) y = 2x + 3

What is slope intercept form?

Slope intercept form- The equation of the line in slope-intercept form is given by:

y = mx + c

Here,

(x, y) = Every point on the line

m = Slope of the line

c = y-intercept of the line

a) In situation one

slope of the line = 3 and y- intercept = 0 =c

The equation becomes y = 3x+ 0

y = 3x

b) slope of the line = 14 and y intercept = 8

y = 14x + 8

c) slope of the line = 54 and y- intercept = 2

y = 54x + 2

d)  slope of the line = 2 and y- intercept = 3

y = 2x + 3

To know more about slope intercept form, visit:

https://brainly.com/question/9317111

#SPJ9

The fractional equivalent of the repeating decimal n = 0.15.15.. is

15/99. And the number represented by n has two repeating digits that is 15.

Given, repeating decimal n = 0.1515..

We must come up with a strategy to eliminate the recurring portion before converting what is left into a fraction. We can benefit from the repetition on our behalf.

set x = 0.151515 ...eq(1)

the 15 is a recurring number means that those two digits keep repeating forever.

so

100x = 15.151515..  eq(2)

Subtract eq(2) from eq(1).

100x = 15.151515

 x     = 0.151515

we get, 99x = 15

hence x = 15/99

Therefore, the equivalent of the repeating decimal is 15/99.

Learn more about Fractions here:

brainly.com/question/11562149

#SPJ1

Step1: Write the area of the circular Rug

The area of the circle is

From the question the diameter is 25feet, hence the radius is

Step2: substitute the value into the formula

Hence the area of the circular rug is 491.07 square feet

The will take approximately 491square feetyou