-5X-3Y=-7 FIND 3 POINTS THAT SOLVE THE EQUATION

Answers

Answer 1

Answer:

(0, 7/3), (1, 2/3), (2, -1).

Step-by-step explanation:

Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.

-5x - 3y = -7

Substitute variable.

-5(0) - 3y = -7

Remove the term multiplied by 0.

-3y = -7

Divide by -3.

y = -7/-3

-a/-b = a/b.

y = 7/3

This makes the coordinate (0, 7/3)

-5x - 3y = -7

Substitute variable.

-5(1) - 3y = -7

Multiply.

-5 - 3y = -7

Add 5 to both sides.

-3y = -2

Divide by -3.

y = -2/-3

-a/-b = a/b.

y = 2/3.

This makes the coordinate (1, 2/3)

-5x - 3y = -7

Substitute variable.

-5(2) - 3y = -7

Multiply.

-10 - 3y = -7

Add 10 to both sides.

-3y = 3

Divide by -3.

y = 3/-3

-a/a = -1.

y = -1.

This makes the coordinate (2, -1).


Related Questions

In a certain year, 88% of all Caucasians in the U.S., 73% of all African-Americans, 73% of all Hispanics, and 75% of residents not classified into one of these groups used the Internet for e-mail. At that time, the U.S. population was 64% Caucasian, 11% African-American, and 13% Hispanic. What percentage of U.S. residents who used the Internet for e-mail were Hispanic

Answers

Answer:

The total percentage of U.S. residents who used the Internet for e-mail were Hispanic was 9.5%

Step-by-step explanation:

Given

In a certain year the % share of American population that was Hispanic was 13%

Out of these 13%, 73% Hispanic used the internet for emails.

Now the total percentage of U.S. residents who used the Internet for e-mail were Hispanic was 0.13 * 0.73 = 0.095 = 9.5%

1. Find the area of the figure below.
s=25 m

Answers

Answer:

625m

Step-by-step explanation:

The area is equal to l times w, so since the length and width are the same value you would do 25 x 25 which gets you to 625

Which of the following is the solution to the quadratic equation x2 + 6x + 8 = 0?

A)x = 4,-2
B)x= -4,2
C)X = 4,2
D)X=-4, -2

Answers

Step-by-step explanation:

D)X=-4, -2

is the answer

ANSWER QUICK

1. Give the value of y.
3y = 51

2. Give the value of w.
w ÷ 5 = 4

Answers

Answer:

1) y = 17

2) w = 20

Step-by-step explanation:

Answer:

y= 17

w= 20

Step-by-step explanation:

2.
A bag contains 8 red pens, 7 blue pens, and 14 black pens. Denato will pull a pen from the bag.

When Denato pulls a pen from the bag, how many outcomes are possible?
14
29
8
7

Answers

Answer:

Your answer is 29

Step-by-step explanation:

Answer:

The answer is - 29!!!!

Step-by-step explanation:

: D 100% correct


A rental car company charges $33 per day to rent a car and $0.12 for every
mile driven. Zachary wants to rent a car, knowing that:
• He plans to drive 400 miles.
• He has at most $180 to spend.
Use the drop-down menu below to write an inequality representing d, the
total number of days Zachary can rent the car while staying within his budget.
d

Answers

Answer:

2 days

Step-by-step explanation:

0.12x 400=48.00+33.00=81×2=162.00 for 2 days

Solve for all values of x by factoring.'
x2 + 10x + 21 = 0

Answers

Answer:

Step-by-step explanation:

2x+10x=12x

12x=-21

x=-1.75

Answer:

x=-7,-3

Step-by-step explanation:

x2+10x+21

(x+7)(x+3)

x=-7,-3


4/5mm what are the perimeter and the area of the square

Answers

length+ breadth and 2×side

Step-by-step explanation:

4÷2 =2

5×2=10

10+2=12

12 ans

A survey was initiated and intended to capture the prevalence of specific learning disorder (SLD) among school-aged children with autism spectrum disorder (ASD). Out of a sample of 1,483 participants, a total of 241 were found to have SLD. Calculate 95% confidence interval for the proportion of participants who have SLD among the children with ASD.

Answers

Answer:

The 95% confidence interval for the proportion of participants who have SLD among the children with ASD is (0.1437, 0.1813).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Out of a sample of 1,483 participants, a total of 241 were found to have SLD.

This means that [tex]n = 1483, \pi = \frac{241}{1483} = 0.1625[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1625 - 1.96\sqrt{\frac{0.1625*0.8375}{1483}} = 0.1437[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1625 + 1.96\sqrt{\frac{0.1625*0.8375}{1483}} = 0.1813[/tex]

The 95% confidence interval for the proportion of participants who have SLD among the children with ASD is (0.1437, 0.1813).

If the standard deviation of a data set were originally 4, and if each value in
the data set were multiplied by 1.75, what would be the standard deviation of
the resulting data?
A. 3
B. 4
c. 7
D. 1

Please help

Answers

Answer:

it's a.

Step-by-step explanation:

you have to find the mean

ALGEBRA 2 FINALS
1. SPORTS Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315. This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6 a pair and the shorts cost $18.
a. Write a system of two equations that represents the number of pairs of socks and shorts bought each year. b. How many pairs of socks and shorts did the team buy each year?
Indicate the answer choice that best completes the statement or answers the question.
Determine whether each function has a maximum or minimum value, and find that value. Then state the domain and range of the function.
2. v(x) = –x2 + 14x – 57
a. minimum; –8; all real numbers; {f(x) | f(x) –8}
b. maximum; –57; all real numbers; {f(x) | f(x) –57} c. maximum; 14; all real numbers; {f(x) | f(x) 14}
d. maximum; –8; all real numbers; {f(x) | f(x) –8}

Answers

Answer:

Step-by-step explanation:

2+2+2+2 = 8

solve x/2 + 2x/5v= 9

please I need it ASAP

Answers

Answer:

x/2+2xv/5=9

Step-by-step explanation:

i think it equals 9

How much wrapping paper is needed to cover the gift box shown below?
SA = 2Lw + 2Lh + 2wh

Answers

Answer:

528 square inches

Step-by-step explanation:

SA = 2(10·16) + 2(10·4) +2(4·16)

= 2(160)+2(40)+2(64)

= 320 + 80 + 128

= 528 square inches

PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.

Answers

Answer:

[tex]a) ?=23\frac{1}{24}[/tex]

[tex]b)?=106\frac{34}{87}[/tex]

Step-by-step explanation:

[tex]?+59\frac{5}{8} =82\frac{2}{3}[/tex]

[tex]?+59\frac{5}{8}-59\frac{5}{8} =82\frac{2}{3}-59\frac{5}{8}[/tex]

[tex]?=23\frac{1}{24}[/tex]

87 × ? = 9526

87 ÷ 87 × ? = 9256 ÷ 87

[tex]?=106\frac{34}{87}[/tex]

Find the area of the shaded region. Leave your answer in terms of Pi.

Answers

Answer:

The total area of the shape is 162 + 243π square feet.

Step-by-step explanation:

The simplest way to solve this is to take the area of the circle, multiply that by 3/4, then add the area of the triangle.

A circle's area is πr², so three quarters of that is ³/₄πr².

r = 18 ft, so the circular part of the shape is ³/₄π18² square feet

18² = 324

³/₄ of 324 is 243

so the circular part of the shape has an area of 243π square feet.

The triangular part is half a square, with a side length of 18 feet.  That means that its area will be:

18² / 2 feet

= 324' / 2

= 162'

So the total area of the shape is 162 + 243π square feet.

Please help me solve this!

Answers

Answer:

The functions are:

f(x) = $14.75*x + $2

s(x) = $12.25*x + $17

Both iSpice and Spice Magic charge $90.50 for 6 pounds of paprika.

Step-by-step explanation:

A linear equation has the general shape:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the function passes through the points: (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Ok, knowing this, let's look at the first table, we need to work with only two points, so let's use the first one (1, $16.75) and the second one (2, $31.50)

Then the slope of the equation is:

a = ($31.50 - $16.75)/(2 - 1) = $14.75

Then the equation is something like:

y = f(x) = $14.75*x + b

To find the value of b, we can use one of the two points. For example, the point (1, $16.75) means that when x = 1, we must have y = $16.75

Replacing these values in the equation we get:

$16.75 = f(1) = $14.75*1 + b

$16.75 - $14.75 = b = $2

Then the function f(x) is:

f(x) = $14.75*x + $2

Now let's go to the other function, again we can choose two points, let's use the first one (1, $29.25) and the third one (3, $53,75).

Then the slope is:

a = ($53.75 - $29.25)/(3 - 1) = $12.25

Then the equation is something like:

y = s(x) = $12.25*x + b

To find the value of b we do the same as before, if we use the first point (1, $29.25) we get:

$29.25 = s(1) = $12.25*1 + b

$29.25 - $12.25 = b = $17

Then this equation is:

y = s(x) = $12.25*x + $17

The two equations are:

f(x) = $14.75*x + $2

s(x) = $12.25*x + $17

b) now we want to find the value x such that the price is the same in both cases, then we need to solve:

f(x) = g(x)

$14.75*x + $2 =  $12.25*x + $17

$14.75*x - $12.25*x = $17 - $2

$2.5*x = $15

x = $15/$2.5 = 6

This means that for 6 pounds of paprika the price is the same on both companies, and the price is:

f(6) = g(6) = $14.75*6 + $2 = $90.50

Examine the graph of the logarithmic function f(x).



The function f(x) has a vertical asymptote at x= Blank.

Answers

Answer:

The function f(x) has a vertical asymptote at x = 3

Step-by-step explanation:

We can define an asymptote as an infinite aproximation to given value, such that the value is never actually reached.

For example, in the case of the natural logarithm, it is not defined for x = 0.

Then Ln(x) has an asymptote at x = 0 that tends to negative infinity, (but never reaches it, as again, Ln(x) is not defined for x = 0)

So a vertical asymptote will be a vertical tendency at a given x-value.

In the graph is quite easy to see it, it occurs at x = 3 (the graph goes down infinitely, never actually reaching the value x = 3)

Then:

The function f(x) has a vertical asymptote at x = 3

What is the measure of angle z in this figure?
Enter your answer in the box.
124

Answers

Answer:

answer: 56

Hope this helps!

An article in The Engineer (Redesign for Suspect Wiring," June 1990) reported the results of an investigation into wiring errors on commercial transport aircraft that may produce faulty information to the flight crew. Such a wiring error may have been responsible for the crash Of a British Midland Airways aircraft in January 1989 by causing the pilot to shut down the wrong engine. Of 1600 randomly selected aircraft, eight were found to have wiring errors that could display incorrect information to the flight crew.

Required:
a. Find a 99% confidence interval on the proportion of aircraft that have such wiring errors. Round your answers to 4 decimal places.
b. Suppose we use the information in this example to provide a preliminary estimate of p. How large a sample would be required to produce an estimate of p that we are 99% confident differs from the true value by at most 0.009?
c. Suppose we did not have a preliminary estimate of p. How large a sample would be required if we wanted to be at least 99% confident that the sample proportion differs from the true proportion by at most 0.009 regardless of the true value of p?

Answers

Answer:

a) The 99% confidence interval on the proportion of aircraft that have such wiring errors is (0.0005, 0.0095).

b) A sample of 408 is required.

c) A sample of 20465 is required.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of 1600 randomly selected aircraft, eight were found to have wiring errors that could display incorrect information to the flight crew.

This means that [tex]n = 1600, \pi = \frac{8}{1600} = 0.005[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.005 - 2.575\sqrt{\frac{0.005*0.995}{1600}} = 0.0005[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.005 + 2.575\sqrt{\frac{0.005*0.995}{1600}} = 0.0095[/tex]

The 99% confidence interval on the proportion of aircraft that have such wiring errors is (0.0005, 0.0095).

b. Suppose we use the information in this example to provide a preliminary estimate of p. How large a sample would be required to produce an estimate of p that we are 99% confident differs from the true value by at most 0.009?

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A sample of n is required, and n is found for M = 0.009. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.009 = 2.575\sqrt{\frac{0.005*0.995}{n}}[/tex]

[tex]0.009\sqrt{n} = 2.575\sqrt{0.005*0.995}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.005*0.995}}{0.009}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.005*0.995}}{0.009})^2[/tex]

[tex]n = 407.3[/tex]

Rounding up:

A sample of 408 is required.

c. Suppose we did not have a preliminary estimate of p. How large a sample would be required if we wanted to be at least 99% confident that the sample proportion differs from the true proportion by at most 0.009 regardless of the true value of p?

Since we have no estimate, we use [tex]\pi = 0.5[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.009 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.009\sqrt{n} = 2.575*0.5[/tex]

[tex]\sqrt{n} = \frac{2.575*0.5}{0.009}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.009})^2[/tex]

[tex]n = 20464.9[/tex]

Rounding up:

A sample of 20465 is required.

A rectangle has a length of 8ft
and a width of 4ft, what is the
area of the rectangle in square
feet?

Answers

Answer:

32

Step-by-step explanation:

A=wl=4·8=32

Question #3 show steps or how you know

Answers

Answer: Choice D)

(-1.5, -1) and (0, 1)

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

Explanation:

Exponents can be a bit clunky if you have too many of them, and if they're nested like this. Writing something like e^(x^2) may seem confusing if you aren't careful. I'm going to use a different notation approach. I'll use "exp" notation instead.

So instead of writing something like e^(x^2), I'll write exp(x^2).

The given derivative is

f ' (x) = exp(x^4-2x^2+1) - 2

and this only applies when -1.5 < x < 1.5

Apply the derivative to both sides and we'll find the second derivative

f ' (x) = exp(x^4-2x^2+1) - 2

f '' (x) = d/dx[ exp(x^4-2x^2+1) - 2 ]

f '' (x) = exp(x^4-2x^2+1)*d/dx[ x^4-2x^2+1 ]

f '' (x) = exp(x^4-2x^2+1)*(4x^3-4x)

f '' (x) = (4x^3-4x)*exp(x^4-2x^2+1)

From here, we need to find the roots of f '' (x).

Set f '' (x) equal to zero and solve to get...

f '' (x) = 0

(4x^3-4x)*exp(x^4-2x^2+1) = 0

4x^3-4x = 0  ..... or .... exp(x^4-2x^2+1) = 0

4x(x^2-1) = 0

4x(x+1)(x-1) = 0

4x = 0 or x+1 = 0 or x-1 = 0

x = 0 or x = -1 or x = 1

Those are the three roots. We ignore the equation exp(x^4-2x^2+1) = 0 because it doesn't have any real number solutions.

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

The three roots of x = 0 or x = -1 or x = 1 represent possible locations of points of inflection (POI). Recall that a POI is where the function changes concavity. To determine if we have a POI or not, we'll need to a sign test.

Draw out a number line. Plot -1, 0, and 1 in that order on it. Pick something to the left of -1 but larger than -1.5, lets say we pick x = -1.2. Plugging this into the second derivative function leads to...

f '' (x) = (4x^3-4x)*exp(x^4-2x^2+1)

f '' (-1.2) = (4(-1.2)^3-4(-1.2))*exp((-1.2)^4-2(-1.2)^2+1)

f '' (-1.2) = -2.563    

That value is approximate. The actual value itself doesn't matter. What does matter is the sign of the result. The negative second derivative value tells us we have a concave down region. So we just found that f(x) is concave down for the interval -1.5 < x < -1, which converts to the interval notation (-1.5, -1)

Repeat the process for something between x = -1 and x = 0. I'll pick x = -0.5 and it leads to f '' (-0.5) = 2.63 approximately. The positive result tells us that we have a concave up region. Therefore, -1 < x < 0 is not part of the answer we're after.

Repeat for something between x = 0 and x = 1. I'll pick x = 0.5 and it produces f '' (0.5) = -2.63 approximately. So the region 0 < x < 1 is also concave down. Meaning that the interval notation (0,1) is also part of the answer.

So far we have the interval notation of (-1.5, -1) and (0,1) as part of our solution set.

Lastly, we need to check something to the right of x = 1, but smaller than 1.5; let's go for x = 1.2

You should find that f '' (1.2) = 2.563 which allows us to rule out the region on the interval 1 < x < 1.5

Overall, the final answer is (-1.5, -1) and (0, 1)

PLS HELP 50 POINTS

A rectangular prism has a surface area of 8 square feet. A similar rectangular prism has a surface area of 200 square feet. How many times larger is the surface area of the larger prism?

25
625
10
5

Answers

Answer:

25

Step-by-step explanation:

20x8+5x8=200

20+5=25 the answer would be 25

12. If one line passes through the points
(-3,8) & (1,9), and a perpendicular line passes
through the point (-2,4), what is another point
that would lie on the 2nd line. Select all that apply.
A. (-1,0)
B. (2,5)
C. (5,2)
D. (-6,3)
E. (8,-3)
F. (-3,8)

Answers

9514 1404 393

Answer:

  A, F

Step-by-step explanation:

Points A(-1, 0) and F(-3, 8) lie on the 2nd line. (Its equation is 4x+y=-4.)

Estimate the sum of 1,256, 379 and 305,986 by first rounding each number to the nearest ten thousand.

Answers

9514 1404 393

Answer:

  1,570,000

Step-by-step explanation:

The sum is approximately ...

  1,260,000 +310,000 = 1,570,000

_____

Additional comment

It is a good idea to estimate the error associated with an estimate. Here, both numbers are rounded up by about 4000 each, so the estimate is around 8000 high.

Can someone please help with both I will mark u brilliant

Answers

Answer:

75%

Step-by-step explanation:

To get the average first you would add up all of the scores, 48+93+78+89+32+92+93. Which equals 525. Then you would divide by the amount of tests (7) so 525/7. Which is 75

Answer:

Hello! answer: the mode for question 1 is 23

answer: the mean for question 2 is

75 The teacher might want you to round though cause that's a lot of numbers

Of 600 students sampled, 480 said they hoped to own a house someday. With 99.7% confidence, what is the approximate percentage of the students in the population who hope to own a house someday?
A. 73.5% to 86.5%
B. 75.1% to 84.9%
C. 76.7% to 83.3%
D. 78.4% to 81.6%

Answers

Answer:b

Step-by-step explanation: i just answered it

The approximate percentage of the students in the population who hope to own a house someday is 76.7% to 83.3%.

The correct answer is option C.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the approximate percentage of the students in the population who hope to own a house someday with 99.7% confidence,

We need to use the confidence interval formula:

Confidence Interval = Sample proportion ± Margin of error

where the sample proportion is the fraction of the sample who said they hope to own a house someday, and the margin of error reflects the amount of uncertainty in the estimate.

The formula for the margin of error is:

Margin of error = z x (√(p x (1 - p)) /√(n))

where z is the z-score corresponding to the desired level of confidence, p is the sample proportion, and n is the sample size.

In this case,

The sample proportion is 480/600 = 0.8, the sample size is 600, and the level of confidence is 99.7%, which corresponds to a z-score of 3.

Plugging these values into the formula, we get:

Margin of error = 3* x √(0.8 x (1 - 0.8)) / √(600)) = 0.034

So the 99.7% confidence interval is:

0.8 ± 0.034, which is equivalent to (0.766, 0.834)

Converting to percentages, we get:

(0.766 x 100, 0.834 x 100) = (76.6%, 83.4%)

Therefore,

The approximate percentage of the students in the population who hope to own a house someday is 76.7% to 83.3%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ7

A research team investigates the potential association between hours of work and smoking. They want to see whether there is a difference in number of smokes per day between smokers who work about 40 hours per week and those who work 55 hours or more. If they were to use the hypothesis testing procedure for this research question, what would be the appropriate test statistic to use

Answers

Answer:

chi-square

Step-by-step explanation:

According to the given situation, Chi-square statistic would be considered for as we have to determine whether working hours and smoking are attached with each other or not.

To know whether working hours based on smoking or there is an important relationship between both- So Chi-square statistic would be used

Therefore the test that should be used is chi-square

Help 100 points to answer the page

Answers

Answer:

Use trigonometry

sine = opposite leg / hypotenusecosine = adjacent leg / hypotenusetangent = opposite leg / adjacent leg#123/x = sin 68x = 23 / sin 68x = 24.8

Choice A

#221/x = tan 26x = 21/ tan 26x = 43.1

Choice D

Note. All numbers below are rounded to the nearest tenth#312/x = sin 53x = 12 / sin 53x = 15.0#48/x = tan 34x = 8/tan 34x = 11.9#5x/ 12 = cos 26x = 12 cos 26 x = 10.8#6x / 13 = sin 34x = 13 sin 34x = 7.3#7x / 18 = sin 53x = 18 sin 53 x = 14.4#8x / 10 = tan 30x = 10 tan 30 x = 5.8#9cos X = 21/35 = 3/5#10tan X = 32/24 = 4/3

Answer:

the person above me is correct i said that because i did the math and solved it

Step-by-step explanation:

If the length of a solid metallic rod is 5 yards, what is its length in feet?

A. 13 ft.
B. 14 ft.
C. 15 ft.
D. 16 ft.

Answers

The answer is 15 because every yard is 3 feet

Answer: C

Step-by-step explanation: 1 yard = 3 feet therefore 5 yards would be 15 ft.

f(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?

Answers

Answer:     Negative

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

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

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