Describe the possible values of x.​

Answer:

2 ≤ x ≤ 7

Step-by-step explanation:

Due to the triangle inequality, the sum of two sides of a triangle must be greater than or equal to the remaining side.

Therefore,

5+7 ≥ 2x-2

=> 12 ≥ 2x-2

=> 14 ≥ 2x

=> 7 ≥ x

However, notice that BC + AB must be ≥ 7, So,

5 + 2x - 2 ≥ 7

=> 2x - 2 ≥ 2

=> 2x ≥ 4

=> x ≥ 2

Therefore, both bound of x have been found.

The possible values of x are 2< x < 7.

In a triangle, the sum of two sides is always greater than the third side. And the difference of two sides is always less than the third side.

Given,

First side = 5

Second side = 7

Therefore, sum of first and second side = 5 + 7

                                                                  = 12

Also, absolute difference of first and second side = 7 - 5

                                                                  = 2

Therefore, we can write:

                                2 < 2x - 2 < 12

Or                             4 < 2x < 14

                                 2 < x < 7

Hence, the possible values of x are 2< x < 7.

To learn more about side property of triangle visit:

https://brainly.com/question/28709672

#SPJ1

What’s the y intercept ?

[7(2) - 4] + [9+ 8(4)]

Which is the value of this expression when x = negative 2 and y = negative 3?

10 x cubed y squared

Can someone help me please

128.5 divided by 4.5

Solve equation 5 = 4(b-3)

An organization has raised $4800 for a remodeling project. This is 60% of their goal.
What is their fundraising goal

Graphs of the following equations are straight lines except :
A. 3x+2y=8
B. y=x/2-5
C. x=4y
D. y=x^2+3

solve
0=40+3x
show work please

Which expression is the simplified form of −10+3x−x−7x+5x+7+2x

the average person takes about 30,000 breaths per day. express this number as a single digit integer times a power of 10

Read the following scenarios. For each scenario you need to decide which of the following four methods is appropriate.
A. One sample t test
B. Paired samples t test
C. Independent samples t test
D. One-way analysis of variance (ANOVA)
1. A shareholders' group suspects that the mean tenure of corporate chief executive officers (CEO) is significantly greater than the 5 years that CEO supporters claim. The group has hired a statistician who is using information on tenure of the last retired CEO in a sample of 30 corporations to test this claim.
2. All employees in a firm have recently received professional development training that is designed to improve their productivity. A manager wants to know whether or not the post-training productivity differs significantly across low-, medium-, and high-education employees.
3. A computer manufacturer has designed twenty-three prototype microcomputer central processing unit chips, and is using a sample of 506 computers (22 computers carrying each prototype) to evaluate whether the mean processing time differs significantly across the twenty-three prototypes.
4. In a blind taste experiment a group of potential customers were asked to rate the taste of two different coffee brands on a scale of 0 to 10. The experimenter wants to know whether or not on average the ratings differ for the brands.
5. A bank manager wants to know whether or not the average waiting time for bank customers is significantly different between two local branches of that bank.
6. A national auto dealers association claims that the mean price of a used car is $9,987. A used car dealership manager located in the City of Baltimore wants to test this claim using a sample of 45 cars currently parked at the dealership.
7. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in two groups of similar computers. The CPU chips in only one group have received a coating of the special chemical.
8. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in a sample of 54 computers by observing CPU performance before and after applying the coating.
9. A local landscaping business owner wants to test the hypothesis that the mean tree planting time differs significantly from 2 hours for her employees.
10. An educator wants to test the hypothesis that average SAT score in the population is the same in Belgium, Denmark, and Netherlands.
11. Using random state-level household samples, a social scientist wants to know whether or not the mean household size is the same across 50 states in the U.S.
12. It has been claimed that average nursing salaries in Milwaukee, Wisconsin are lower than those in Pittsburgh, Pennsylvania. A medical professional wants to test this claim using a sample of salaries from the two cities.
13. A student government representative at a mid-sized East Coast university wants to test the mean difference in GPA at the beginning and end of the freshman year using a sample of 89 undergraduate students.
14. All employees in a firm have recently received professional development training that is designed to improve their productivity. The training provider claims that such training increases employee productivity by 10%. A firm manager has obtained estimates of change in productivity for 32 employees who received the training, and wants to test the training provider's claim.

Given the points (–1,3) and (2,–3), what's the slope of the line?

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation
that shows the total cost c hitting b buckets of golf balls.

The auxiliary bookstore in the student center has one checkout counter where one employee operates the cash register. Customers arrive at a rate of 24 per hour following a Poisson distribution and service times are exponentially distributed, with a mean rate of 30 customers per hour. The average purchase per customer is $48. The bookstore considers adding another employee to assist the present operator. There are several options to utilize this additional staff. One is to enable more customers to be served in less time, thus increasing the service rate from 30 customers per hour to 40 customers per hour. Alternatively, the bookstore could redesign to add a second cash register, one has its own line. Assume existing customers split evenly between the two cash registers and each has her/his own line, just like most grocery stores. Finally, the bookstore can use this additional staff as a second register but unlike option 2, there is only one combined line shared by these two registers (like most of the bank tellers). Assume the hourly rate for each employee is $20, regardless what job do they perform. Assume that each customer is only waiting for up to 1 minute to be served, or would renege (i.e., leave the store unpurchased). Which option should the bookstore adopt to minimize the total cost?

A running track in the shape of an oval is shown. The ends of the track form semicircles.

A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 54 m and length of one straight edge 120 m.

What is the perimeter of the inside of the track? (π = 3.14)

409.56 m
480.00 m
579.12 m
616.80 m

helpp meeeeeee pleasereee

Two Parallel lines are intersected by a transversal /1 and /2 are alternate exterior angles. The measure of /1 is (5x - 16) the measure of /2 is (4x-2) what is the measure of each angle?
A.m/1=m/2=46
B.m/1=94 and m/2=86
C.m/1=m/2=54
D.m/1=m/2=70

20*35*x = 7626.9923/2

Write in words: 970,001​

The alpha level is the set of analysis of the data. Identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution.

The z-score boundaries at an alpha level α = .05 are:_________

Simplify: −2s − 9 + 7 − 5r use s = 3 and r =

-5/12 • 8/13= What is the sum?

ax+by=c solve for y plz help hurryyyyy

Preform the indicated operation 1 1/3 times 3 3/4

Please help!

To solve 38 = 6x - 16, you would subtract 16 and then divide by 6.
true
or
false

How are proportional quantities described by equivalent ratios?

4. Billy Breath jogged 40 miles in 16 minutes. What is his rate of speed?​

se the drawing tool(s) to form the correct answer on the provided graph.
A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes.

Create and graph the solution set of the equation for the gallons of water, y, remaining in the barrel in terms of the number of minutes elapsed, x

Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water,how much plant food should she use?