what is the sign of f on the interval -5/9 < X < 2/3

Answers

Answer 1

Note that the sign of f on the interval -5/9 < x < 2/3 is negative. (Option B)

What is the explanation for the above?

To determine the sign of f(x) on the interval -5/9 < x < 2/3, we need to evaluate f(x) at a test point within this interval and determine if it is positive or negative.

Since we know that f(x) has zeros at x = -4, x = -5/9, and x = 2/3, we can use these points as our reference to choose test points.

Specifically, since the zeros at x = -5/9 and x = 2/3 are not included in the interval -5/9 < x < 2/3, we can choose any test point within this interval, such as x = 0.

Evaluating f(x) at x = 0, we get:

f(0) = (3(0) - 2)(0 + 4)(9(0) + 5)

= (-2)(4)(5)

= -40

Since f(0) is negative, we can conclude that f(x) is negative on the interval -5/9 < x < 2/3.

Therefore, the sign of f on the interval -5/9 < x < 2/3 is negative


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Full Question:

f(x) = (3x - 2) (x+4) (9x +5) has zeros at x = -4, x = -5/9, and x = 2/3, that is the sign of f on the interval -5/9 < x < 2/3?

What Is The Sign Of F On The Interval -5/9 &lt; X &lt; 2/3

Related Questions

Which pairs of angles are congruent?

Answers

Answer:

b) angles 1 and 4 are congruent.

Hope it helps!

X -6,-3,0,3,6 y 0 1 2 3 4 which equation contains the coordinate parts given in the table

Answers

The linear equation that contains the coordinate parts in the given table is: y = 1/3x + 2.

How to Find the Equation of a Linear Equation?

To find the linear equation that contains the coordinate parts in the table given, find the slope (m) and y-intercept (b), then substitute the values into y = mx + b.

Slope (m) using two coordinate parts, (0, 2) and (3, 3):

Slope (m) = change in y / change in x = (3 - 2)/(3 - 0)

Slope (m) = 1/3

y-intercept (b) = 2 [this is the value of y when x = 0)

Substitute the values into y = mx + b

y = 1/3x + 2.

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Solve 22x = 5.3 by graphing.
a x ≈ 0.3
b x ≈ 0.7
c x ≈ 1.2
d x ≈ 0.4

Answers

The solution is  x ≈ 0.3 , Option A is the right Answer.

What is an Equation ?

An Equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

To find the value of

22x = 5.3

A graph has to be plotted for the line

From the graph it can be clearly seen the point at which the line intersect x axis is  x = 0.24 , which is approx equal to 0.3.

Therefore the solution is  x ≈ 0.3 ,

Option A is the right Answer.

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Find the value of x.

Answers

Answer:

7x-1 + 2x-1 =7 ..... given

9x-2 = 7

9x = 9

x = 1

Step-by-step explanation:

This is the answer of the above condition.

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Solve x: 30 pts if u can figure it out and the first one that sounds right gets brainiest answer

3x+99x=1188

Is this even possible to work out????


Please dont just type random letters Bec then there’s just no point of u being on here.. and ur wasting ur time! So please think about it

Answers

Answer:

x = 99

Step-by-step explanation:

3x + 99x = 12x

12x = 1188 divide 1188 ÷ 12

x = 99

Answer is 11.6470588
You can round it if allowed to 11.6
Reason
First combine like terms
3x + 99x = 1188
102x = 1188
Now solve for x
Divide both sides by 102
X = 11.6470588

PLEASEEEEEEEEEE HELPPPPPPPPPP!! IM SO CONFUSED HOW TO DO THIS!

Create a word problem that can be represented by this mathematical statement and solve your problem.

12! / 3! 9!

Answers

How many apples would you have if you combined 3 apples and 9 apples?
you would have 12 apples.

A bronze statue weighs 2400 N and has a base that is 4 m by ½ m. What is the pressure the statue exerts on the floor?

Answers

The pressure by the statue exerted on the floor will be 1200 N per square meter.

What is pressure?

The term pressure is defined as the force per unit area.

The formula is igven below.

P = F /A

A bronze statue weighs 2400 N and has a base that is 4 m by ½ m.

Then the base area will be

A = 4 x 1/2

A = 2 square meters

Then the pressure will be

P = 2400 / 2

P = 1200 N per square meter.

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38. How much does Mike Carson earn every
day?
A. $89.33
B $76.80
C. $27.00
D. $9.60


39. Mike Carson takes home approximately
what percent of his gross pay?
A. 33%
B. 50%
C. 75%
D, 90%

40. Approximately what percent of total
carnings is deducted for city and state
withholding tax?
A. 3%
B. 10%
C. 15%
D. 25%

Answers

The answers for each question are:
1.the answer is B
2.the answer is A
3.the answer is C

if the figure forms the base of a right solid 110 centimeters high, find the surface area​

Answers

Answer:

[tex]60200cm^{2}[/tex]

Step-by-step explanation:

(I am assuming that the units for the measurements in this question are all centimeters)

Surface area = 2 * (Area of Base) + (Perimeter of base)*(Height)

  First, we'd need to solve for the area of the base by finding the area of the triangle and subtracting it from the area of the rectangle. The area of the rectangle is [tex]100 * 150 = 15000[/tex]. The area of the triangle is [tex]\frac{1}{2} * 120 * 90 = 5400[/tex]. (We can do this because it is a right triangle with leg lengths in the pattern of a 3-4-5 triangle.) Now, subtracting the area of the triangle from the rectangle, we get [tex]15000 - 54000 = 9600[/tex]. This is the area of the base.

  Next, the perimeter of the base is [tex]100 + 150 + 90 + 120 = 460[/tex]. Multiplying this by the height, we get [tex]460 * 110 = 50600[/tex].

  Finally, we add 9600 and 50900 to get [tex]9600 + 50900 = 60200[/tex].

The ingredients for your braised greens cost 1.32. You sell it for $4. What is your contribution margin?

Answers

Your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.

Selling price per unit less variable cost per unit equals contribution margin, often known as dollar contribution per unit. The amount of sales income referred to as "Contribution" is the fraction that is not used to pay variable expenses and hence helps to cover fixed costs.

Given ingredients for your braised greens cost 1.32$ and sells at $4

We have to find contribution margin on that

The difference between a venture's variable costs and its selling price is the contribution margin:

= Selling price - Variable cost

The selling cost is $4 and the variable costs are $1.32.

Therefore Contribution margin is as follow:

= 4 - 1.32

= $2.68

Hence your contribution margin is $2.68 considering the price of the braised ribs and the cost of the components.

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Standard Form
Instructions: Rewrite the equation in proper Standard Form.
Equation: x - y = −3
Standard Form:
Check

Answers

Hehehehehehgehahahahgehehhahagaggegegaga

what is the slope of the line represented by the equation y = 4/5x -3?

Answers

Answer:

4/5

Step-by-step explanation:

Slope

    Slope y-intercept of a line: y = mx + b

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

 [tex]\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}[/tex]

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

[tex]\large \bold {ANSWER}[/tex]

[tex]\large \boxed { \large \sf \green{m = \frac{4}{5} }}[/tex]

[tex]\large \bold {EXPLANATION}[/tex]

This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.

So that we can conclude that the slope is 4/5.

(correct answers only)
A sailfish is swimming after a herring in a straight line at 11.8 m/s and begins to accelerate at 6.39 m/s². How long does it take for the sailfish to reach the herring if it is 55.0 m away?
(unit=s)

Answers

Initial velocity=11.8m/s=uAcceleration=a=6.39m/s²Distance=s=55mTime be t

According to second equation of kinematics

s=ut+1/2at²55=11.8t+1/2(6.39)t²110=23.6t+6.39t²6.39t²+23.6t-110=0

Take positive value

t=2.7s

Answer:

2.7 s  (1 d.p.)

Step-by-step explanation:

Use the Constant Acceleration Equations where:

s = displacement in metersu = initial speed in m/sv = final speed in m/sa = acceleration in m/s²t = time in s (seconds)

Given:

s = 55 mu = 11.8 m/sa = 6.39 m/s²

[tex]\begin{aligned}\text{Using }s & =ut+\dfrac{1}{2}at^2\\\implies 55 & =11.8t+\dfrac{1}{2}(6.39)t^2\end{aligned}[/tex]

Rearrange the equation to equal zero:

[tex]\implies 3.195t^2+11.8t-55=0[/tex]

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Use the quadratic equation to solve for t:

[tex]\implies a=3.195, \quad b=11.8, \quad c=-55[/tex]

[tex]\implies t=\dfrac{-11.8 \pm \sqrt{11.8^2-4(3.195)(-55)} }{2(3.195)}[/tex]

[tex]\implies t=2.694780675, -6.388051411[/tex]

As time is positive:

[tex]\implies t=2.694780675... \:\text{s}[/tex]

[tex]\implies t=2.7 \: \text{s (1 d.p.)}[/tex]

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6 Solve each equation. Round to the nearest ten-thousandth. Check your answers.
2.
4x = 19

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{4x = 19}\\\\\large\textbf{DIVIDE 4 to BOTH SIDES}\\\\\rm{\dfrac{4x}{4} = \dfrac{19}{4}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\rm{x = \dfrac{19}{4}}\\\\\rm{x = 19 \div 4}\\\\\text{x = 4.75}\\\\\rm{x \approx 4.7500}\\\\\\\huge\text{Therefore, the answer should be: \boxed{\mathsf{4.7500}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Explain the order in which to simplify the following and then simplify it.

Answers

Answer:

16 x^14 / y^16

Step-by-step explanation:

Remember   ' PEDMAS '

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

 so do the stuff inside the parentheses to get

  y^8     ^-2

  4x^7  

Now do the exponents  ( the -2  one)

y^-16

4^-2 x^-14       then simplify

16 x^14 / y^16

1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water. Water flows out of the tank at a rate of 4 per minute. At this rate, how long will the tank be completely drained out of water? 80 cm 40 cm 30 cm 1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water . Water flows out of the tank at a rate of 4 per minute . At this rate , how long will the tank be completely drained out of water ? 80 cm 40 cm 30 cm​

Answers

Answer:

6.34 min to empty

Step-by-step explanation:

80 cm x 40 cm x 30 cm = 96000 cm^3

  this volume represents  25.36 gallons of water (US)

25.36 gal / 4 gal/min = 6.34 min  to empty

Find the area of a circle with a diameter of 10 ft. ( = 3.14)

Answers

Answer:

78.5 ft² or25π

Step-by-step explanation:

Find the area of a circle with a diameter of 10 ft.

Area of a Circle  

A = π × r²

r = diameter : 2

10 : 2 = 5 ft (radius)

A = π × 5²

A = 3.14 * 25

A = 78.5 ft²

78.5 is the area of the circle using the formula

There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players of 6 players can the coach make, if the position does not matter? 720 810 5,005 3,603,600

Answers

The no. of different groups of players of 6 players , if the position does not matter is given by 5005 ,Option C is the right answer.

What is Combination ?

Combination is a method of selection of items from a set of distinct objects , when the position doesn't matter .

It is given that

Total number of players = 15 = n

No. of players to be selected = 6 = r

The no. of different groups of players of 6 players , if the position does not matter is given by

[tex]\rm ^nC_r = \dfrac{n!}{r! (n-r)!}[/tex]

So

[tex]\rm ^{15}C_6 = \dfrac{15!}{6! (15-6)!}\\\\\rm ^{15}C_6 = \dfrac{15!}{6! (9)!}\\\\\\^{15}C_6 = \dfrac{15 * 14 * 13* 12 * 11 * 10 }{6 *5* 4 * 3 * 2*1}\\\\ ^{15}C_6 = 5005\\[/tex]

Therefore , The no. of different groups of players of 6 players , if the position does not matter is given by 5005

Option C is the right answer.

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If the volume of the pyramid is 192 yd³; and the area of the base is 64 yd², what is the height measured in yards?

Answers

Answer:

177

Step-by-step explanation:

A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the equation 25x2 – 144y2 + 3,600 = 0, which of the following equations represents the boundaries of the light?

y equals five twelfths x and y equals negative five twelfths x
y equals twelve fifths x and y equals negative twelve fifths x
y equals five thirteenths x and y equals negative five thirteenths x
y equals thirteen fifths times x and y equals negative thirteen fifths times x

Answers

Answer:

  (a)  y = 5/12x and y = -5/12x

Step-by-step explanation:

Given the equation of a hyperbola 25x² – 144y² + 3,600 = 0, you want the equations of the asymptotes.

Standard form

Dividing by 3600 and doing a little rearrangement, we have ...

  (y/5)² -(x/12)² = 1 . . . . . standard form equation of a hyperbola

Asymptotes

The equation of the asymptotes is ...

  (y/5)² -(x/12)² = 0

Solving for y gives ...

  (y/5)² = (x/12)²

  y/5 = ±x/12 . . . . . . take the square root

  y = ±5/12·x . . . . . . . matches the first choice

__

Additional comment

The equation of a hyperbola with vertices on the y-axis is often written as ...

  y²/a² -x²/b² = 1

We have written it in the above form to better show the scale factors applied to x and y.

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Helppp needed plx as fast as u can

Answers

Answer:

The answer is either 30 degrees or 36 degrees.
You need a protractor to measure it.
Most probably, the answer is 30 degrees.
BUT PLEASE MEASURE THE ANGLE WITH A PROTRACTOR!

Answer:

d. 60°

Step-by-step explanation:

Since the clock is a full circle, it has a degree span of 360°.

∴ every 5-min interval on the clock

= 360° ÷ 12 five min intervals

= 30°

∴ acute angle formed by clock in figure

= two 5-min intervals

= 60°

A
True
False
P
Given the diagram as marked.
True or False: P is on the angle bisector of A

Answers

Answer:

False

Step-by-step explanation:

P is not necessarily on the angle bisector of angle A.

Attached is an example of a carefully constructed shape (so that it's easy to see the measurements):

Angle A measures 45° (again, for convenience)Point P is 4 units to the right of and 3 units above point A.Point P forms a right angle with two congruent line segments, each of which terminate on the rays extending from Point A, forming angle A.The lower point is 8 units to the right of point A;  the upper point is 7 units to the right of and 7 units above point A.The length of the two line segments is 5 units, and thus they are congruent.

Visually, point P is not on the angle bisector of angle A.

While having two adjacent congruent segments is necessary for P to be on the bisector of angle A, it is not sufficient.  The segments on the rays from A to the end of those segments would also need to be a pair of congruent adjacent sides (forming a kite).  For a kite, the diagonal from the point between one pair of adjacent congruent sides to the point between the other pair of adjacent congruent sides does form an angle bisector with both angles.

Consider the function shown on the graph.

Answers

Answer:

C.) y = 3(x - 3)(x - 7)

For the function:

x intercept: (3, 0), (7, 0)vertex point: (5, -12)point: (8, 15)

Writing equation:

y = a(x - h)² + k

15 = a(8 - 5)² - 12

15 = 9a - 12

9a = 15 + 12

9a = 27

a = 3

So the equation is:

y = 3(x - 5)² - 12

y = 3(x² - 10x + 25) - 12

y = 3x² - 30x + 63

y = 3(x - 3)(x - 7)

They brought a new plasma TV for $1800 he made a down payment for 500 and then find is the balance to the store unfortunately he was unable to make the first monthly payment and now pay 7% interest per month on the balance what is Vicks monthly interest payment

Answers

Answer:

Vicks monthly interest payment is $91

Step-by-step explanation:

Total: $1800

Down payment: $500    (already paid)

Current balance need to be paid:

$1800 -  $500 = $1300

7% of  $1300 is, 1300 x 0.07 = $91

What is the value of the rational expression below when x is equal to 4?

Answers

Answer: letter B (answer is 2)

Step-by-step explanation:

You invest $1600 in an account paying 5.4% interest compounded daily. What is the account's effective annual yield? Write as a decimal.

Answers

Answer:

For a principle amount of $1600 and rate 5.4%, the effective annual yield is 5.55% if interest is compounded annually.

Step-by-step explanation:

Concept: The annual percentage yield (APY) or the effective annual yield is the real rate of return earned on an investment, taking into account the effect of compounding interest.

The principle amount is $1600, rate is 5.4% and period is 365 days. The formula to find yield is [tex]Y = (1+\frac{r}{n} )^{n} -1[/tex]. All the values are to be inserted in the formula. Here n = 365 and r = 5.4%.

[tex]Y=(1+\frac{0.054}{365} )^{365} -1\\Y=(1.000148)^{365} -1\\Y=5.55%[/tex]

The annual yield is 5.55%.

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(2-z)/z=((2-z)( ? ))/(z^2+z)
what is this? please

Answers

Answer:

The answer for "?" is z+1.

Step-by-step explanation: In order to solve this I recommend comparing the two equations and expanding them as much as possible, like so.

[tex](\frac{2-z}{z} =\frac{(2-z)(?)}{z^2+z} )=(\frac{2-z}{z} =\frac{(2-z)(?)}{z(z+1)} )[/tex]

Once you have the equations expanded to their maximum you can see what was added to the right side of the equation and what you need to add to the numerator in this case to make the two equations equal.

[tex](\frac{2-z}{z} =\frac{(2-z)(z+1)}{z(z+1)} )[/tex]

*Note: You can also check the solution by plugging in a number for z and checking to see that both side equal. For example if z = 3.

[tex]\\\frac{2-3}{3} =-\frac{1}{3} \\\frac{(2-3)(3+1)}{3^2+3} =-\frac{1}{3}[/tex]

So, z+1 is the answer.

10 points need help finding area

Answers

Answer:

8 un^2

Step-by-step explanation:

to find this answer you must find the area of the rectangle and then the triangle

the rectangles area is

2 * 3 = 6 un^2

the traingle is

2 * 2 * 1/2 = 2 un^2

now you add them

6 + 2 = 8 un^2

Area is 8.:)))))))))))))

what is 2/3 x 6/7 answer

Answers

Answer:

4/7

Step-by-step explanation:

2/3 × 6

7

4/7

and bro that's really it

The heights of the starting players on each of two basketball teams are shown in the table below.
Team A
Team B
Heights of Starters on Team A and Team B
70 in.
71 in.
72 in.
73 in.
75 in.
71 in.
68 in.
72 in.
70 in.
73 in.

Answers

Answer:

whats the question? please explain

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companies using _____ revenue model charge a fee based on the value of the service provided on the web. Match each word with its English meaning. karinaranjaskutasquashpouletcaonsquashorangecanyoncurrypullet When gas prices are $2.73 per gallon, the annual supply for gas in New York State is 135 billion gallons and the annualdemand is 141 billion gallons. When the price increases to $3.26 per gallon, the annual supply increases to 147 billion gallons and thedemand decreases to 137 billion gallons.(a) Assuming that the supply and demand equations are linear, Ofind the supply and demand equations.Supply Equation p =Demand Equation p =Note: The equations should be in the form p = mq + b where p denotes the price (in dollars) and q denotes the quantity (in billions).The slope and y-intercept should include 3 decimal places, or be left as fractions.(b) Find the market price and quantity.market price p =market quantity q =Note: The market price and quantity should include 3 decimal places (or left as fractions), and the market price should include a dollarsign. The graph of a function f(x) is shown. What is the value of f(-2)? Discuss the development of agriculture for early civilizations. Include in your response implications for social organization, technology development, communication, and any other aspects of ancient culture affected by this innovation. State true or false. (i) Cube of any odd number is even. F (ii) A perfect cube does not end with two zeros.T (iii) If square of a number ends with 5, then its cube ends with 25. F (iv) There is no perfect cube which ends with 8. F (v) The cube of a two digit number may be a three digit number. F (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number. TGive reasons why The quantity of a good demanded rises from 1000 to 1500 units when the price falls from $1.50 to $1.00 per unit. The price elasticity of demand for this product is approximately What are the two types of hypotheses used in a hypothesis test? how are they related?. Which statement best summarizes the relationship between the federalgovernment and state governments? The battle of fallen timbers pitted which opposing armies? us and american indian british and american indian british and american Oxygen diffuses from theenters red blood cells.A. Artery, plasma membraneB. Capillary, ArteryC. Alveolus, capillaryD. Plasma membrane, Alveolus What is a postnasal? What is the purpose of cost accounting iss? 2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son A quarter weighs the same as two pennies. If a pound of quarters is worth $25, then how much is a pound of pennies worth? what do sensory neurons do with the information from the receptors ? Arrange these events in the correct chronological order:1. Moses Austin met with Governor MartinezII. Moses Austin became part owner of the Bank of St. LouisIII. Moses Austin moved to MissouriIV. Panic of 1819I, III, II, IVIII, II, IV, IC.I, II, III, IVd. II, III, I, IVa.b.Please select the best answer from the choices provided What is the central idea of Bradfords paragraph?Those who are seamen are not allowed in the colonies.Those who do not follow God are not protected by God.Every Pilgrim arrives safely at Plymouth Plantation.Poor people are the first to become sick and die. What is the distance between the two end points in the graph below a 12oupon bond, semiannual payments, is callable in 3 years. the call price is $1,120; if the bond is selling today for $1,110, what is the yield to call?