Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

Answers

Answer 1

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2  then |-2|=2>1  satisfying the equation

so we have

[tex]x-7>1\\\\x-7+7>1+7\\\\x>8[/tex]

and we have

[tex]x-7<-1\\\\x-7+7<-1+7\\\\x<6[/tex]

to graph it it goes from (-∞,6)∪(8,∞)


Related Questions

easy 10 points and brainliest :)

Answers

Answer:

quadrant 1

Step-by-step explanation:

both of them are positive

Answer:

Quadrant I

Step-by-step explanation:

Since x is greater than zero and y is greater than zero, that means the point (x, y) is to the right and above the origin.  Hence, the first quadrant.

Cheers.

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)? Determine the gear ratio for a bike with 45 front teeth and 18 rear sprocket teeth.

Answers

Answer:

The answer is 660.4 millimeters in diameter.

Step-by-step explanation:

The wheel is 26 inches in diameter. An inch is 25.4 millimeters. 26 * 25.4 = 660.4

identify the property illustrated by the equation 8x(5x9)=(8x5)x9

Answers

Answer:

assosiative property

OA) 30°
O B) 60°
D) 50°
OC) 90°

Answers

Answer:

A) 30°

Step-by-step explanation:

Sum of three angles of a triangle = 180°

75° +75° + ∠WYZ = 180°

Add like terms

150° + ∠WYZ  = 180°

Subtract 150°from both sides

∠WYZ = 180 - 150

∠WYZ = 30°

How do you know if two line segments are parallel?
A. The slope of one is the negative of the slope of the other.
OB. Their slopes are equal.
C. Their slopes are reciprocals.
D. Their slopes are negative reciprocals.

Answers

Answer: B Their slopes are equal.

Step-by-step explanation:

Two line segments are parallel if and only if their slopes are equal.

Option B is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two line segments are parallel if and only if their slopes are equal.

If the slopes of two lines are equal, then they have the same steepness and will never intersect.

However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.

Thus,

Two line segments are parallel if and only if their slopes are equal.

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Need help with 2,4,6!!!!!!!!!!!!!!

Answers

Answer:

m+22=30

m+22-22=30-22

m=8

7y=28

7/7 y=28/7

y=4

12+3p=-3

12-12+3p=-3-12

3p=-15

3/3 p=-15/3

p=-5

I NEED HELP PLZ!!!!! ASAP

Answers

Answer:

[tex]AB \approx 70.7[/tex]

Step-by-step explanation:

This is a right triangle.

We have sides:

[tex]BC=52[/tex]

[tex]AC=48[/tex]

In order to find the other side, you can use the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

as 'c' equal to the hypotenuse and, 'a' and 'b' are legs or cathetus.

For this triangle,

[tex]AC^2+BC^2=AB^2[/tex]

[tex]48^2+52^2=AB^2[/tex]

[tex]2304+2704=AB^2[/tex]

[tex]AB=\sqrt{5008}=4\sqrt{313}[/tex]

[tex]AB \approx 70.7[/tex]

Nikki works at a store that sells consumer electronics. She earns $12 per hour, plus a commission of 5% of her total sales amount each day. Nikki worked 8 hours on Saturday. Including her commission, Nikki earned a total of $139 on Saturday. Which equation can be solved for x, Nikki’s total sales amount in dollars on Saturday?

Answers

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

[tex]139=96+0.05x[/tex]

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

[tex]139=96+0.05x\\43=0.05x\\x=\$860[/tex]

Thus, her total sales that day were $860.

how many planes contain the same three collinear points?

Answers

Answer:

The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.

Answer:

infinitely many

Step-by-step explanation:

well if you think about it in a 3D plane

we can make to planes intercept at a line

and we can make another plane that another plane interceptes the other to planes in the same line

and another

and another

...

so we can have three points in the line (collinear) that the planes intercept and we are done

What is the value of x?
O 30
O 45
O 55
O 60

Answers

The value of x is forty five

solve lim x->0 (1+sinx)/cosx

Answers

Answer:

1

Step-by-step explanation:

(1+sinx)/cosx

(1+sin0)/cos0

(1+0)/1

1/1

1

:. Lim x->0 =1

(12y2
+ 17y - 4) + (9y2
- 13y + 3) =

Answers

Answer:

[tex]21y^{2} +4y-1[/tex]

Step-by-step explanation:

Hello!

[tex](12y^{2} +17y-4)+(9y^{2} -13y+3)[/tex]

For this, we can combine like terms

[tex]12y^{2} +9y^{2}=21y^{2}[/tex]

17y - 13y = 4y

-4 + 3 = -1

Combine the answers and we get

[tex]21y^{2} +4y-1[/tex]

Hope this Helps!

Answer:

21y² + 4y -1

Step-by-step explanation:

(12y² + 17y - 4) + (9y² - 13y + 3)  ---- remove parentheses

= 12y² + 17y - 4y + 9y² - 13y + 3

= 12y² + 9y² + 17y - 13y - 4 + 3  -----grouped like terms

= 21y² + 17y - 13y - 4 + 3

= 21y² + 4y - 4 + 3

= 21y² + 4y - 1

Joshua spins a spinner twice. The spinner consists of 3 equally spaced colors, Red, Blue, and Yellow. What is the probability that the spinner will stop on green and then yellow? ASAP

Answers

Answer:

[tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given a spinner with 3 equally spaced colors Red, Blue, Yellow.

The colors are equally spaced, therefore probability of each color must be same.

i.e. Probability of occurrence of any one color in one spin is [tex]\frac{1}{3}[/tex].

To find:

Probability that spinner will stop one green in first spin and yellow in the second spin = ?

Solution:

As all the colors are equally likely to occur, so

Probability of green color in the first spin, P(G) = [tex]\frac{1}{3}[/tex]

Probability of yellow color in the second spin, P(Y) = [tex]\frac{1}{3}[/tex]

As we can observe that occurrence of any color in the second round of spin is not dependent on the color occurrence in the first spin, therefore these are the independent events.

P(G and Y) = P(G) [tex]\times[/tex] P(Y)

[tex]\Rightarrow P(G\ and\ Y) = \dfrac{1}{3} \times \dfrac{1}{3}\\\Rightarrow P(G\ and\ Y) = \bold{\dfrac{1}{9}}[/tex]

Therefore, the required probability is

[tex]\dfrac{1}{9}[/tex].

An underwater canyon begins at 40 feet
below sea level and is 105 feet deep.
What is the elevation of the bottom of
the canyon?

Answers

Answer:

145 feet.

Step-by-step explanation:

Given that:

An underwater canyon begins at depth = 40 ft

Depth of canyon = 105 ft

To find:

The elevation of the bottom of the canyon = ?

Solution:

Kindly refer to the image attached for the given dimensions.

A is the sea level.

B is the point at which the canyon starts and

C is the bottom of the canyon.

As per question statement, we are given that:

AB = 40 feet

BC = 105 feet

And we have to find the distance AC = ?

It is clearly observable that:

[tex]AC = AB + BC\\\Rightarrow AC = 40 + 105\\\Rightarrow \bold{AC = 145 ft}[/tex]

So, the elevation of the bottom of the canyon is 145 ft.

What are some important considerations when conducting cross-cultural research? Is there ever a time when research findings might be free of culture?

Answers

Answer:

Following are the relevant factors about cross-cultural research

Step-by-step explanation:

The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.

It also means that with these distinctions, one could not make assumptions the results to everybody in the world.  While most nations are democratic and diverse cos of the enhanced stage of global corporations or organizations, people would stick to their core tenets, traditions, customs or practices, that will make the research difficult to consider as one group. So, cross-cultural research would be the only option and would not shift in the immediate future, as much as the different cultures prevail.

please help on 9 to be marked the brainliest

Answers

I’ve seen this question 3 times now lol, it’s 2600


Approximate √18 to the nearest whole number.

Answers

Answer:

4 is the answer

Step-by-step explanation:

Answer:

hey

√18 = 4.242

Step-by-step explanation:

rounded = 4

what is the sum and product of x^2+12x+32=0? pls help me

Answers

Hope it helps uh !........

Answer:

Sum= -12

Product=32

Step-by-step explanation:

[tex]x^2+12x+32=0[/tex]

By factorization, we get

[tex]x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\[/tex]

Therefore, the roots of the equation are = -4,-8

Sum of the roots =[tex]\alpha+\beta =\frac{-b}{a}[/tex]

[tex]\alpha +\beta[/tex]=[tex]-8-4=-12[/tex]

Product of the roots=[tex]\alpha \beta =\frac{c}{a}[/tex]

[tex]\alpha \beta =8*4=32[/tex]

Which expression is equal to – 3i(4 – 2i)?
-61
0-6 – 12i
O 6 – 12i
-12 – 6i

Answers

Answer:

-23

Step-by-step explanation:

-3i(4-2i)?

-61

0-6-12i

-12-6i

An expression that is equivalent to -3i(4 - 2i) is: B. -6 - 12i.

What is the distribution property of multiplication?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Note: i² is equal to -1 and i is equal to [tex]\sqrt{-1}[/tex].

By applying the distributive property of multiplication to the given expression, we have:

-3i(4 - 2i) = -3i(4) + 3i(2i)

-3i(4 - 2i) = -12i + 6(-1)

-3i(4 - 2i) = -12i - 6.

-3i(4 - 2i) = -6 - 12i.

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Need help giving 13 points

Answers

Answers: 9) first one: (-6)^2
10) second one: 10^3
11) third: (2/3)^6

Point A is at -7, -3. There are 12 points between A and B. What are possible coordinates for point B?

Answers

Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Louise Gaines is paid a bi-weekly salary of $6,000. To date, she has earned $96,000. Her filing
status is Head of Household.
What is her Social Security tax withholding for this pay period?

Answers

Answer:

$5952

Step-by-step explanation:

By the Federal Insurance Contributions Act which is a U.S. payroll tax meant to fund Medicare and Social Security, the FICA tax is shared among the employer and the employee whereby the employers share is 7.65% of the employees gross income and the employees share is also 7.65% of their gross income with 6.2% being for social security and 1.45% being for Medicare.

Louise Gaines, therefore will have 6.2% of $96,000 or  $96,000 × 0.062 = $5952 withheld for the period.

Which of the following functions is not quadratic?

Answers

Answer:

f ( x ) = 5x - 5 is not a quadratic function.

The degree of the equation f(x) = 5x – 5 is one, then it is not a quadratic equation. Then the correct option is B.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

If the degree of the equation is not 2, then the function is not a quadratic.

f(x) = 5x – 5, the degree of the equation is one, then it is not a quadratic equation.

Then the correct option is B.

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The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts and a standard deviation of 3.3 peanuts. What is the z-score of a bag containing 178 peanuts? Question 6 options: negative 1.42 negative 2.03 negative 2.49 negative 1.65

Answers

Answer:

The z-score of a bag containing 178 peanuts is -2.03.

Step-by-step explanation:

A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.

The formula to compute z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The information provided is:

x = 178

μ = 184.7

σ = 3.3

Compute the z-score of a bag containing 178 peanuts as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

  [tex]=\frac{178-184.7}{3.3}\\\\=-2.03[/tex]

Thus, the z-score of a bag containing 178 peanuts is -2.03.

Eighty percent of adults drink coffee and seventy percent drink tea. What is the smallest possible percent of adults who drink both coffee and tea?

Answers

Answer:

50%

Step-by-step explanation:

Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.

Let the percent of the adults that drink coffee and tea be y

The total percentage of adults = 100

80 - y + y + 70 - y = 100

150 - y = 100

- y = 100 - 150

Y = 50.

Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %

A Simpler Answer:

Add together the probabilities.

80%+70%=150%

Therefore we overcounted 50 percent, so the least amount possible is [tex]\boxed{50\%}[/tex]

4.89 x 2.2 find the product

Answers

Answer: Hi!

4.89 * 2.2 = 10.758 (rounded is 10.76 or 10.8)

Tip: Line up the terms vertically and multiply.

Hope this helps!

If all the letters of the English alphabet were written on a piece of paper, over and over again, which letter would be the ten millionth letter to be written?

Answers

Answer:

Alphabet J

Step-by-step explanation:

Given

Alphabet: A - Z

Required

Determine which alphabet is at the 10 millionth position

Represent the number of alphabets with n

n = 26

To get the alphabet at the required position, we have to divide 10 million by 26 and note down the remainder

[tex]\frac{10000000}{26} = 384615\ R\ 10[/tex]

The division gives, 384615 remainder 10

This implies that, the alphabet at the 10th position is the same alphabet at the 10 millionth position;

And this alphabet is J

-4.75 ​= x/2 what is x

Answers

Answer:

x= -9.5

Step-by-step explanation:

We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.

-4.75 = x/2

x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.

2*(-4.75) = (x/2)*2

2*(-4.75)=x

2* -4.75=x

Multiply 2 and -4.75

-9.5=x

Let's check our solution. Plug -9.5 back in for x and solve.

-4.75= x/2

-4.75= -9.5/2

-4.75= -4.75

This checks out, so we know our solution is correct.

x is equal to -9.5

Answer:

[tex]x = \frac{19}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x}{2} = - 4.75[/tex]

First convert the decimal to an improper fraction

That's

[tex] - 4.75 = - \frac{19}{4} [/tex]

So we have

[tex] \frac{x}{2} = - \frac{19}{4} [/tex]

Cross multiply

4x = - 38

Divide both sides by 4

We have the final answer as

[tex]x = \frac{19}{2} [/tex]

Hope this helps you

Can someone please help me with this problem? A fastpitch softball player signs a six year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain

Answers

Answer:

The question is not complete, below is the complete question:

A fastpitch softball player signs a six-year contract. Her agent expects that she will earn $1,000,000 over the next six years. If the agent is right, how many bonus payments, on average, should the pitcher expect each year? Explain

Yearly Salary: $20.000. Bonus for each game that attracts 100+ fans: $8.000.

Answer:

on average, the pitcher expects to earn 18.3 bonuses per year

Step-by-step explanation:

Total amount earned over the next 6 years = $1,000,000

salary per year = $20,000

salary for the next 6 years = 20,000 × 6 = $120,000

Next, let us calculate the amount earned from bonuses:

Total amount earned = amount earned from salaries + amount earned from bonuses

$1,000,000 = 120,000 + Amount earned from bonuses

Amount earned from bonuses = 1,000,000 - 120,000

Amount earned from bonuses = $880,000

Total bonus amount earned over six years = $880,000

Amount of bonus earned per game = $8,000

Number of bonuses received over the next 6 years = (Total bonus earned over six years) ÷ (Amount of bonus earned per game)

Number of bonus received over the next 6 years = 880,000 ÷ 8,000

Number of bonus received over the next 6 years = 110 bonuses

6 years = 110 bonuses

1 year = 110 ÷ 6 = 18.33 bonuses

on average, the pitcher expects to earn 18.3 bonuses per year

PLEASE HELP ME QUICKLY In ΔABC,

if m∠CAD = 29°, the m∠DAB is _______

Answers

Answer:

it will also be 29°

Step-by-step explanation:

LDAB will be also 29° cuz D is the bisector and at the top the two lines resembles that. So if CAD is 29° then DAB will be also 29°

I hope so it will help

The angle ∠DAB will be equal to 29 degrees.

What is an angle bisector?

The line or line segment that divides an angle into two equal halves is known as the internal angle bisector or (interior) bisector. An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given that in triangle ABC the angle ∠CAD is 29°. Then the angle will be calculated as below:-

The line AD is an angle bisector at point A of the triangle. Then the two angles ∠CAD and ∠DAB will be equal to each other.

∠CAD = ∠DAB

∠CAD = 29°

Therefore, the angle ∠DAB will be equal to 29 degrees.

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John Maynard Keynes and Karl Marx would agree most about the answer towhich question?O A. Should governments take total control over economies?B. Are precious metals a good measure of economic strength?O C. Do free market economies create problems for workers?D. Is it right for strong countries to control weaker colonies? In the game of roulette, a wheel consists of 32 slots numbered 00, 0, 1, 2, . . . , 30. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Complete parts (a) through (c). (a) Determine the sample space. Choose the correct answer below. A. The sample space is {00, 0, 1, 2, . . . , 30}. B. The sample space is {00}. C. The sample space is {00, 0}. D. The sample space is {1, 2, . . . , 30}. (b) Determine the probability that the metal ball falls into the slot marked 3 and Interpret this probability by choosing the correct answer below. A. If the wheel is spun 100 times, it is expected about 31 of those times to result in the ball landing in slot 3. B. If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing not in slot 3. C. If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in slot 3. (c) Determine the probability that the metal ball lands in an odd slot and Interpret this probability by choosing the correct answer below. A. If the wheel is spun 100 times, it is expected about 47 of those times to result in the ball landing in an odd number. B. If the wheel is spun 1,000 times, it is expected about 31 of those times to result in the ball landing in an odd number. C. If the wheel is spun 1,000 times, it M is the midpoint of line segment AB Which statement correctly describes the condensationof a gas? NEED HELP ASAP!! Angles of Elevation and Despression! Need to find x! Round to the nearest tenth!! Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives to which the State may be entitled in the Congress: but no Senator or Representative, or Person holding an Office of Trust or Profit under the United States, shall be appointed an Elector. --Constitution, Article 2.1 Find the surface area of the composite figure. need help asap. Thank You |12| = 12 True or False please help!!!!! 8. Give an example of how applied science has had a direct effect on your daily life. The art of persuasion is:Question 1 options:ForensicsArgumentDebateRhetoric The diameter of the inscribed circle in a regular hexagon is 43 inches long. What is the perimeter of this regular hexagon? i dont understand this at all please help The Jammers basketball team had a win to loss ratio of 5:1 during theirSeason. They won 25 games. How manygames did they lose? When you collaborate or meet with a person or group online, it is called Why do we value the separation of powers"? Which of the cities on the map is farthest from the Vikings' homeland? please tell me the answers....... What was known as the holy experiment What fraction shows this division problem? 7 9 Fractions may be typed as improper fractions What fraction shows this division problem? 7 9 Fractions may be typed as improper fractions Solve for x...Z = 8(x-h) X = ????Please state what X is...