Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply. The quadratic equation is in standard form. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions. There are no real number solutions. A solution of the system of equations is (–1, 1.5).

Answers

Answer 1
Three Answers: choice A, choice B, choice C.

Basically the first three items are true, with the rest false.

=========================================================

Explanation:

Let's go through each answer choice one by one to see if it is true or false.

---------------------

A. The quadratic equation is in standard form.  

This is true. Standard form for quadratics is y = ax^2+bx+c. In this case, a = 2, b = 0, c = 3. It might help to write the equation as y = 2x^2+0x+3.

---------------------

B. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0.  

This is true. Start with y-x = 6. Replace y with 2x^2+3 and we get

2x^2+3-x = 6

From here we subtract 6 from both sides

2x^2+3-x-6 = 6-6

2x^2-x-3 = 0

---------------------

C. There are two real number solutions.  

This is true. When you graph the two equations (I recommend GeoGebra but Desmos is another good tool), you'll see they intersect at two different locations. Each location is a solution in the form (x,y).

---------------------

D. There are no real number solutions.  

This is false. It contradicts choice C.

---------------------

E. A solution of the system of equations is (–1, 1.5).

This is false. The two solutions are (-1, 5) and (1.5, 7.5) which is where the two graphs intersect.

Another way to check is to plug x = -1 into either equation. You'll find the result to both is y = 5 instead of y = 1.5

Answer 2

Answer:

its ABC

Step-by-step explanation:


Related Questions

Someone pls help . Thank you sm ! i forgot how to do this lol .

Answers

Answer:

x = - 20, h = 34

Step-by-step explanation:

i can't tell ypou what the class period is, but for -x = 20, multiply each side by -1, then you get x = -20

-32 = 2-h

+32 .  +32

0=34-h

+h .   +h

34=h

flip

h=34

X= -20 and H= 34 the first one you just carry the negative sign to the 20

What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!

Answers

Answer:

A.

Step-by-step explanation:

Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.

The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.

The area of the rectangle with a length of 20mm and height of 14 mm is,

Area of the rectangle = 20mm × 14mm

                                    = 280 mm²

The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,

Area of the triangle = (1/2) × 6mm × 14mm

                                 = 42 mm²

Now, the total area of the given figure can be written as,

The total area of the given figure

= Area of the rectangle + Area of the triangle

= 280 mm² + 42 mm²

= 322 mm²

Hence, the area of the given figure is 322 mm².

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(20 POINTS!!!!) Jack can paint an entire house in 3 hours. Jill can do the same job in 4 hours. What portion of the house can they paint in 1 hour if they work together?

Answers

Answer: 7/12 portion

Explanation:

Jack can paint:

1 house = 3hr
1/3 portion= 1hr

Jill can paint:

1 house = 4hr
1/4 portion = 1hr

Both of them together can paint in 1 hour:

1/3 + 1/4 = 3/12 + 4/12 = 7/12 portion in 1hr
7/12 portion of the house

PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!!

Triangles △DEF and △ABC are congruent. Which of the following sequences of transformations maps △DEF onto △ABC? ___________________________________________________________Sequence A --> A translation along the directed line segment DB, then a 90° rotation about point B.
Sequence B --> A 90° rotation about point F, then a translation along the directed line segment FC. ___________________________________________________________ a) Only sequence A
b) Only sequence B
c) Both
d) Neither
**note: picture attached below.**

Answers

The answer is D because then triangles DEF and ABC would mapped onto one another

The answer is D because then triangles DEF and ABC would map onto one another

What is a Triangle?

Triangle is a plane figure with three straight sides and three angles.

How to determine?

The answer is D because then triangles DEF and ABC would map onto one another.

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On thursday morning, a shop has 468 customers.314 were women and 75 were children.

a) What percentage were women?

b) What percentage were *not* children​

Answers

Answer: A) 67[tex]\frac{11}{117}[/tex] (or) 67.09

              B) No. of people neither children nor women

                  = 468-(314+75)

                  = 79

                  = [tex]\frac{79}{468}[/tex]*100

                  = 16[tex]\frac{103}{117}[/tex] (or) 16.88

I hope it helps. Have a great day :)

Answer:

a) =  67.10 % or 67.09%

b) = 84.10% or 83.97%

Step-by-step explanation:

a = (314/468)*100 = 67.094017094 %

b = (393/468)*100 = 83.9743589744 %  (edited 393)

To find b we have to can use simple subtraction to find Men = m = ?

If Women = w = 314  and Children = c = 75

Eliminate the (w = 314) with (c=75) from total to find (m=?)

w+c+m= 468

c+m = 468-w = 468-314 = 154

m = 154-c = 154-75 = 79

m = 79

b) Total sum that were not children = w+m = 314 + 79 = 393

or = 468-314 = 154

then 154 - 79 = 75

with = 468-75 = 393

then find percentage;

(393/468) * 100 = 83.9743589744

Sally’s house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at
the midpoint of Sally’s house and school. What coordinate represents Molly’s house?
A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)

Answers

Answer:

B. (−2, 3)

Step-by-step explanation:

To find the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2. Add the y-coordinates of the segments and divide by 2.

x: (5 + (-9))/2 = -2

y: (-1 + 7)/2 = 3

Midpoint: (-2, 3)

Answer: B. (−2, 3)

Answer:

b

Step-by-step explanation:

-9+5=-4÷2=-2

-1+7=6÷2=3

Ms. Canton went to the store to buy grapes. She bought four bunches of purple grapes. Each bunch had the same amount of grapes (x) She also bought two bunches of green grapes.Each bunch of green grapes had the same amount of grapes in them (y). Write an expression that will show how many bunches of grapes Ms. Canton purchased. *

Answers

Answer:
4x+2y

Explanation:
x represents the purple grapes in one bunch, while y represents the green grapes in one bunch.
Given: 4 bunches of purple grapes (x), 2 bunches of green grapes (y)
Combine to get the expression 4x +2y
Hope this helps
4x+2y because there’s four bags of grapes and two bunches of each and you don’t know the amount of grapes in each of them.

What is 3 divided by 2,127

Answers

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[tex]3\ \div \ 2127[/tex]

[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)

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If this helped you, could you maybe give brainliest..?

❀*May*❀

I think the answer is 709

During a certain 25-year period, the consumer price index (CPI) increased by 99%,but during the
next 25-year period, it increased by only 1%. Which of these conditions must have existed during the
second 25-year period?
A. Conflation
B. Deflation
C. Inflation
D. Stagnation​

Answers

I think the answer to this is D or stagnation

For the next 25-year period,(CPI) is increased by only 1% due to Inflation and Stagnation.

What is Stagnation ?

Stagnation is a situation of slow economic growth and relatively high unemployment (which basically means that aggregate production is reducing and some of the inputs of the economy, such capital or labor, are unemployed) , accompanied by rising prices, or inflation.

In terms of national accounting, it means a reduction in gross domestic product (GDP), with inflation (rise in all prices in the economy).

In terms of aggregate demand and supply models, stagnation is the result of a contraction of aggregate supply, which ceteris paribus, results in lower levels of production and higher prices.

Many theories have tried to explain this phenomena. Common interpretations link stagnation with and increase of the cost of production in the economy (that might be generated by an increase of gasoline for example), and its implications in the production (lower production because of higher costs), consequently unemployment and a rise of prices due to the increase of cost.

Here, During a certain 25-year period, the consumer price index (CPI) increased by 99% and during the next 25-year period, it increased by only 1% which shows slow economic growth which can be due to Inflation and Stagnation.

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can someone explain how to do this please​

Answers

Answer:

2/5 [tex]cm^2[/tex]

Step-by-step explanation:

To find the area of a rectangle do A = bh

When you substitute 4/6 for base and 3/5 for height  it will be A = 4/6 x 3/5

This means the area is 2/5

Answer:

2/5 cm^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w

A = 4/6 * 3/5

  Rewriting

  =4/5 * 3/6

   = 4/5 *1/2

  = 2/5 cm^2

help me i need help i am bad at math

Answers

Answer:

4x10⁷is more than 4x10¹⁰

10^4
Because
The equation is the same with different powers
10^7 - 10^3

7-3=4

Solve for x. Show work plz

Answers

Step-by-step explanation:

Given,

RSTU is a parallelogram,

so, we need to find the value of x,

let's find it,

2x+15 = x+15 (opposite side of parallelogram are equal and parallel)

2x - x = 15-15

x=0

Therefore, the value of x is 0.

If you have doubt. then let's clear it by putting the value of x.

so, 2×0+15 = 0+15

15=15 {as already said that the sides are equal}

proved..

so, the value of x is 0.

Hope it helps.....

Answer:

x=0

Step-by-step explanation:

Assuming the two sides are equal length

2x+15 =x+15

Subtract 15 from each side

2x =x

Subtract x from each side

2x-x = x-x

x=0

Factor 3x^2 – 12x – 36.

Answers

Answer:

The answer is 3( x - 2)(x + 6)

Step-by-step explanation:

3x² - 12x - 36

To factorize the expression first factor 3 out of the expression

That's

3( x² - 4x - 12)

Factorize the terms in the bracket

To do so write - 4x as a difference

That's

3( x² + 6x - 2x - 12)

Factor out x from the expression

3[ x( x + 6) - 2 ( x + 6) ]

Next factor x + 2 out

We have the final answer as

3( x - 2)(x + 6)

Hope this helps you

3(x^2 - 4x - 12)

Just divide it all by 3

Describe the end behavior of the graph of f(x) = x^3 (x + 3)(-5x + 1) using limits.

Answers

Answer: Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.

rises to the left, falls to the right

Half of what?= 32 1/2

Answers

65



65/2 is 32 1/2




Proof
32 1/2 x 2 = 65

Half of the number 65 is [tex]32\frac{1}{2}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given fraction is [tex]32\frac{1}{2}[/tex].

Let x be unknown number.

Then, the equation is

1/2 of x=[tex]32\frac{1}{2}[/tex]

x/2 =32.5

x=65

Therefore, half of the number 65 is [tex]32\frac{1}{2}[/tex].

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Town B is 250 km from town A on a bearing of 080°.
Town C is 250 km from town B on a bearing of 220°.
What is the bearing from town A to town C?

Answers

Answer:

Step-by-step explanation:

220-80
The answer would be 140

if
[tex] log_{x} \: a \: + log_{x} \: \frac{1}{a} = t[/tex]
what is the possible value of t?​

Answers

Answer:

t= 0

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log(xy)

[tex]log_{b}[/tex] 1 = 0

Given

[tex]log_{x}[/tex] a + [tex]log_{x}[/tex] [tex]\frac{1}{a}[/tex] = t ,then

[tex]log_{x}[/tex] (a × [tex]\frac{1}{a}[/tex] ) = t

[tex]log_{x}[/tex] 1 = t , thus

t = 0

I’m pretty sure the answer is t=0

Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?​

Answers

Answer:

(7, -5.5)

Step-by-step explanation:

is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5

(7, 5.5) look ^^ they should help u

m∠1=36°, m∠4=49°, m∠6=131°. Find m∠9. A. 144 B. 242 C. 216 D. 36

Answers

Answer:

<9 =144

Step-by-step explanation:

<1 + <4 + < 6 + <9 = 360

36+ 49+ 131 + <9 = 360

216 +  < 9 = 360

< 9 = 360-216

<9 =144

Answer:

A. 144

Step-by-step explanation:

Since m<6 + m<4 = 131 + 49 = 180, then FE is a line.

Angles 1 and 9 are a linear pair, so they are supplementary.

m<9 + m<1 = 180

m<9 + 36 = 180

m<9 = 144

The polynomial function f (x) = 5 x Superscript 5 Baseline + sixteen-fifths x minus 3 is graphed below. On a coordinate plane, point P is shown on the graph of a function. Point P is at (0.6, 0). Which is a potential rational root of f(x) at point P?

Answers

Answer:

3/5

Step-by-step explanation:

What divisor is represented by the synthetic division below? x + 5. One factor of  x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5  3.

The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

What is the rational root theorem?

The rational root theorem is used to determine the possible rational roots of a polynomial function

The equation of the function is given as:

[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]

Considering a polynomial function, f(x).

Such that:

[tex]f(x) = px^n + .......... +q[/tex]

The possible rational roots are:

[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

So, we have:

[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]

List the factors of 3 and 5

[tex]Roots =\pm \frac{1,3}{1,5}[/tex]

Split

[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]

Simplify

[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

Hence, the potential rational roots are:

[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]

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kristen and melissa spent 35% of their $32 on movie tickets. how much money did they spend

Answers

Answer:

11.2$

Step-by-step explanation:

Kristina and Melissa had 32$ at total

● 32$ => 100%

They have spent 35%

Let x be that amount

● x => 35%

●32 => 100

● x => 35

● x = (35×32)/100 = 11.2$

They have spent 11.2$

Answer:

They spent $20.80

Step-by-step explanation:

Since they had $32 and spent 35% of it you would do 32 * 35%

 then you would get 11.2

now that is not the answer because that is just what 35% of 32 is

to get the answer you would then subtract 11.2 from 32 to get 20.8

and since this is a matter of money you would write 20.8 as $20.80.

Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?

Answers

Answer:

It would take 9 hours for them to meet.

Step-by-step explanation:

 

Total distance covered by both per hour: 19+17=36

The total time to go 324 miles for them: 324/36=9

It wold take 9 hours hope I helped and good luck on the quiz or test or whatever it is

A company determined that for each $1 increase in the price of their product, the

number of items sold will decrease by 2. Their predicted weekly profit with a

price increase of x dollars is represented by the function

f(x)= – 2x2+20x +150.


By how many dollars

should they increase the price of their product to

maximize their weekly profits?


15


200


150


5

Answers

Answer:

To have maximum profit, the price must be increased by 5,

Step-by-step explanation:

Given that the price increase function is:

f(x) = -2x² + 20x + 150,

For maximum profit, then f(x) = 0.

Putting f(x) = 0, we have

-2x² + 20x + 150 = 0

Or

x² - 10x - 75 = 0

(x + 5)(x - 15) = 0

x = -5

Or

x = 15

Again, differentiating f(x) and equating to zero, we have

-4x + 20 = 0

4x = 20

x = 20/4

= 5

To have maximum profit, the price must be increased by 5,

They would have to increase it by 5$ so that they can maximize their weekly profit!

For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?

Answers

Answer:

9.49

Step-by-step explanation:

Add the price of the chips and salsa to the price of the tacos

5.50

+3.99

---------------

9.49

Answer: $9.49

Step-by-step explanation:

0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49

$5.50

+$3.99

————

$9.49

PLEASE ANSWER!!!!!!

Which of the following is true? a) |−4| < 3 b) |−4| < |3| c) |−3| < −4 | d) −3| < |−4|

Answers

Answer:

The answer is D

Step-by-step explanation:

the first one is equal to the equation 4 < 3 because of absolute value, second 4 < 3, third 3 < -4, fourth -3 < 4

The answer is D. I just know it’s D.

what is the domain of the function shown in the graph below?

answer type: Interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer:

  all values except one (-2)

Step-by-step explanation:

The function heads off toward infinity at x=-2, so it is not defined there. The function is defined for all values except one.

All values except 1 (-2)

P. The inventory of a store 2 years ago was worth $45,000. This year it is
worth $49,500. What is the percent increase? Show your work

Answers

Answer:10% increase

Step-by-step explanation:

49500-45000=4500

4500/45000=0.1

0.1x100=10

10% increase

Answer:

10%

Step-by-step explanation:

follow the rules of calculating percentages.

fractions, decimals, etc.

pls mark brainliest

The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.

Answers

Answer:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

if u have question let me know in comments ^_^

Answer:

Step-by-step explanation:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.

Answers

Answer: 8 hours

Step-by-step explanation:

Let x be the time before they meet ( in hours)

Speed of Sam = 12 mph

Sped of Fred = 9 mph

Distance = Speed × time

Distance covered by Sam in x hours = 12x

Distance covered by Fred in x hours = 9x

                                               (Distance)     (rate1) (time1)          (rate2) (time2)  

Total distance between them: 168             =     12      x        +      9    x

[tex]\Rightarrow\ 168= 21x\\\\\Rightarrow\ x=\dfrac{168}{21}=8[/tex]

Hence,  the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph. = 8

The answer is 8 hourss.

Please help with 2 and 3 for maths

Answers

Answer:2-4=

Step-by-step explanation:y-16-(-42)

y-16+16

y-32

y-16-(-22)

y-16+4

y-20

y-16-(02)

y-16

y-16-(42)

y-0

Answer:

The answer is 2-4

Step-by-step explanation:

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The process whereby the earths life changes over time through changes in genes of populations of organisms in succeeding generations is called____.a. emigration.b. mutation.c. natural selection.d. evolution.e. genetic drift. Need help will give 50 points What type of rock is most likely to form in an earthquake zone?A. Extrusive igneous rockB. Sedimentary rockC. Metamorphic rockD. Intrusive igneous rock Throughout the novel, there are references to light and darkness, which take on different meanings if they are understood either literally or figuratively. What does the light figuratively symbolize? What does the darkness figuratively symbolize? (Hint: think back to Plato's "The Allegory of the Cave.") Solve Logarithm 5(2^x+4)=15. Round to the nearest thousandth. A.1.089 B.2.415 C.0.657 D.3.982 According to psychologists, IQs are normally distributed, with a mean of 100 and a standard deviation of 15 . a. What percentage of the population has IQs between 85 and 100 ? 10. How far does a transverse pulse travel in 1.23 ms on a string with a density of 5.47 103 kg/m under tension of 47.8 ????? How far will this pulse travel in the same time if the tension is doubled? In triangle PQR, mP = 83, PQ = 7.6, and PR = 8.6. What is mR to the nearest degree? A. 45 B. 55 C. 35 D. 41 where was buddha born Which statement best describes what Rutherford concluded from the motion of the particles? Are there limits to the right to cure? Does a breaching party have the right to cure the breach, or can the non-breaching party proceed directly to a damage claim? There was a time when robots and home automation were just a fantasy. Robots were found only inscience fiction and home automation was limited to cartoon families who had every convenience at theirfingertips. Meals arrived with a simple push of a button. A robot maid performed every task humansdidn't care to do. Today, these once visionary ideas have become reality.In factories, robots perform hazardous tasks; in homes, they vacuum the floor. Houses can now lockthemselves and lights are programmed to turn off and on automatically. In hospitals, doctors use robots toperform surgery. Cars that drive themselves are in development. As automated machines and robots takeon more human tasks, there are serious questions to consider. What will become of society if robots do allthe work? Will humans become too dependent on machines and lose the ability to do things forthemselves? Will robots eventually become smarter than humans?Who is the intended audience for this passage?science fiction writersexperts who design robotsOpeople who are interested in robotsHelprobots with artificial intelligence Which data set matches the box-and-whisker plot?A) 12 13 15 19 23 23 25 26.5 28 30B) 15 13 19 21 23 24 27 29 32C) 11 31 13 15 19 21 21 25 27 29 31D) 11 13 15 19 23 23 24 26.5 28 33 A green light is submerged 2.70 m beneath the surface of a liquid with an index of refraction 1.31. What is the radius of the circle from which light escapes from the liquid into the air above the surface An octagonal pyramid ... how many faces are there, how many vertices and how many edges? A triangular prism ... how many faces are there, how many vertices and how many edges? a triangular pyramid ... how many faces are there, how many vertices and how many edges? Which constitutional amendment extended citizenship to formerly enslavedpeople? Plzz help i really need help.. Given the equation y = 2x + 3 what is the slope? x32idk For each of the following paralellogram calculate the unknown angles marked. x, y and z +If thesides of a triangles are6, 8 and n. howmany integer values of ncould be themeasure of thethird side of the triangle?