the x-intercept of the function f(x)=x^2-81

Answers

Answer 1

Answer:

hendoebhdjdbdjjsjsnsnns

jskebeuejbeiwnwvgwvshcc

Answer 2

Answer:

x=9

x=-9

Step-by-step explanation:

The x intercept or roots are x values that makes the f(x) equal 0. So in order words, to find the x intercept. Set the equation equal 0.

[tex] {x}^{2} - 81 = 0[/tex]

We can approach this problem 2 ways

Way 1: Differnece of Squares

Recall that

[tex]a {}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

Since x^2 and 81 are both perfect squares and 81 is negative, we can say that

[tex](x + 9)(x - 9) = 0[/tex]

Set each equation to zero

[tex]x = 9[/tex]

[tex]x = - 9[/tex]

Way 2: Take square root of both sides

[tex] {x}^{2} - 81 = 0[/tex]

[tex] {x}^{2} = 81[/tex]

Next step, take square root of both sides. Square root produce negative and positive solutions so

[tex]x = 9[/tex]

or

[tex]x = - 9[/tex]


Related Questions

At 11,560 feet above sea level, Climax, Colorado, is the highest town in the united States. The lowest town in Calipatria, California, at 185 feet below sea level. Express both of these distance as integers and tell which is closer to sea level. How much closer to sea level is the town that is closer?

Answers

Answer:

Climax:  11,560. Calipatria: 185 Calipatra is closer by 11,375ft

Step-by-step explanation:

Climax is 11,560ft above sea level, which means it is 11,560ft away from sea level. Calipatria 185ft away from sea level by the same logic. The one whih is closer to sea level would be the smaller number, which would be 185, and how much closer would be 11,560-185= 11,560.

If you're wondering why the 185 isn't negative, it's because the question is asking how far away from zero the numbers are, so you would take the absolute value of -185 which would be 185.

The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?

Answers

Answer:

61

Step-by-step explanation:

x+x+1+x+2 = 183

3x+3 = 183

3x = 180

x = 60

Second number = x+1 = 61

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PLEASE GIVE EXPLANATION

Answers

Answer:

Yo it's A

Step-by-step explanation:

An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite

There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence.  An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.

Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time

It's A because you add 122 every time and it goes on forever.

hope this helps lol

What is a 27 of the sequence 15, 10,5,...?
A.O
B. -75
c.
1/625
D. -115

Answers

Answer:

B. -75

Step-by-step explanation:

you count backwards from 5, 27 times

(x+3)(x-5)=(x+3)(x−5)=

Answers

Answer:

(x+3)(x-5)=(x+3)(x-5)

      x^2-2  = x^2-2

Step-by-step explanation:

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Let's solve your equation step-by-step.

[tex]( x + 3) ( x - 5) = ( x + 3 ) ( x - 5 ) =[/tex]

Step 1: Simplify both sides of the equation.

[tex]x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15[/tex]

Step 3: Add 2x to both sides.

[tex]-2x - 15 = -2x - 15\\-15 = -15[/tex]

Step 4: Add 15 to both sides.

[tex]-15 + 15 = -15 + 15 \\0 = 0[/tex]

Answer : All real numbers are solutions.

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

Also Have a great day/night!

❀*May*❀

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

Answer:

55%

Step-by-step explanation:

55%
You just move the decimal over two places.

really urgent...i need the working also ...pls help me​

Answers

Answer:

See below.

Step-by-step explanation:

In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.

speed = distance/time

Now we solve it for time. Multiply both sides  by time and divide both sides by speed.

speed * time = distance

time = distance/speed

Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.

1) speed = 44.1 km/h; distance = 150 km

time = distance/speed = 150 km/(44.1 km/h) =

= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes

2) speed = 120 km/h; distance = 90 km

time = distance/speed = 90 km/(120 km/h) =

= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes

3) speed = 125 m/s; distance = 500 m

time = distance/speed = 500 m/(125 m/s) =

= 4 seconds

Question 2 Evaluate the expression 2(x - 3) + 3y when x = 5 and y = 3. Mark the correct answer.
A. 13
B. 15
C. 16
D. 25​

Answers

Answer:

A. 13

Step-by-step explanation:

2(x - 3) + 3y

2(5 - 3) + 3×3

2× 2 + 3×3

4 + 9

13

Answer:

The correct answer is A

Step-by-step explanation:

2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)

next,

you would solve it

2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3

finally you solve it

10-6 = 4 +9

= 13!

Sophie is making a copy of an angle. The original angle will be labeled G and the new angle will be labeled B. She has just finished using a compass, with the point on G, to draw an arc that intersects both rays of angle G. Which of the following should she do next

Answers

Answer:

The next step is;

Label the two intersection points

Step-by-step explanation:

To make a copy of an angle, the steps are;

1) Draw the rays of the original angle passing through the point B

2) Open the compass slightly and place the compass point on the vertices G where the two rays meet to draw an arc that intersect both rays

3) Label the point of intersection of both rays points C and D

4) With the compass still opened to the same width, move the compass to the point B on the line the angle is to be copied and draw a similar arc intersecting the ray at J

5) Open the compass to the width of C and D on the original angle and place the compass at point J to mark the arc on the copied angle location at M

6) Draw a line from B passing through M to complete the second ay of the copied angle.

Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If 5 specimens are to be selected from the dish at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?1) (5/1)/(40/3)
2) (5/1)/(40/5)
3) (40/3)/(40/5)
4) (3/1)(37/4)/(40/3)
5) (3/1)(37/4)/(40/5)

Answers

Answer:

[tex]\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]

Step-by-step explanation:

The total number of ways in which 5 specimens can be selected from the  dish at random is given as C(40, 5).

Since only one of the five specimens would have the trait, the number of ways of selecting the one specimen out of the 3 specimens with the trait is C(3, 1).

3 specimens have the trait therefore 37 specimens (40 - 3) do not have the trait. The number of ways in which the remaining 4 specimens out of the 5 spemimens that do not have the trait is C(37, 4).

Therefore, the probability that only 1 of the 5 specimens selected will have the trait = [tex]\frac{C(3,1)*C(37,4)}{C(40,5)} =\frac{(^3_1)*(^{37}_4)}{(^{40}_5)}[/tex]

convert 13 into binary numbers​

Answers

Answer:

8  4  2  1

1    1  0  1

[tex]13_{ 10} = 1101_{ 2 }[/tex]

Step-by-step explanation:

8421
———
1101
That’s gonna be your anwser

A function of random variables used to estimate a parameter of a distribution is a/an _____.

A. unbiased estimator

B. statistic

C. predictor

D. sample value

Answers

Answer:

A. unbiased estimator.

Step-by-step explanation:

In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.

A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.

An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.

Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; [tex]E(b) - p[/tex]

Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).

Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.

Answer: B statistic

Step-by-step explanation:

it just is trust me

Fachorise completely
x^2y^2-1​

Answers

Answer:

[tex](xy+1)(xy-1)[/tex]

Step-by-step explanation:

x²y²-1

=(xy)²-(1)²

=(xy+1)(xy-1)

Which equation represents the line that is perpendicular to y=3/4x+1 and passes through (-5,11)
Will give brainliest!!

Answers

Answer:

y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] , thus

y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 5, 11) into the partial equation

11 = [tex]\frac{20}{3}[/tex] + c ⇒ c = 11 - [tex]\frac{20}{3}[/tex] = [tex]\frac{13}{3}[/tex]

y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of perpendicular line

The equation of the line that passes through (-5, 11) and perpendicular to y = (3/4)x + 1 is

y = -2x + 1

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,

y = (2/4)x + 1 is in the form of y = m(2)x + c

So,

m(2) = 2/4 = 1/2

The equation of the line y = m(1)x + c is perpendicular to y = (2/4)x + 1.

So,

m(1) x m(2) = -1

m(1) = -1/(1/2)

m(1) = -2

Now,

y = -2x + c passes through (-5, 11).

This means,

11 = -2 x (-5) + c

11 = 10 + c

11- 10 = c

c = 1

Thus,

The equation of the line is y = -2x + 1.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Geometry, please answer question ASAP

Answers

Answer:

It's 5 which is A.

Step-by-step explanation:

Please help explanation if possible

Answers

Answer:

(1, - 2 )

Step-by-step explanation:

Given the equations

3x - 4y = 11 → (1)

y + 3x = 1 ( subtract 3x from both sides )

y = 1 - 3x → (2)

Substitute y = 1 - 3x into (1)

3x - 4(1 - 3x) = 11 ( distribute and simplify left side )

3x - 4 + 12x = 11

15x - 4 = 11 ( add 4 to both sides )

15x = 15 ( divide both sides by 15 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 1 - 3(1) = 1 - 3 = - 2

solution is (1, - 2 )

The midpoint of a sègment is (6,-4) and one endpoint is (13,-2). Find the coordinates of the other endpoint.

Answers

let other one be (x,y)

We know midpoint formula

[tex]\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]

[tex]\\ \sf\longmapsto (6,-4)=\left(\dfrac{13+x}{2},\dfrac{-2+y}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{13+x}{2}=6[/tex]

[tex]\\ \sf\longmapsto 13+x=12[/tex]

[tex]\\ \sf\longmapsto x=12-13[/tex]

[tex]\\ \sf\longmapsto x=-1[/tex]

And

[tex]\\ \sf\longmapsto \dfrac{-2+y}{2}=-4[/tex]

[tex]\\ \sf\longmapsto -2+y=-8[/tex]

[tex]\\ \sf\longmapsto y=-8+2[/tex]

[tex]\\ \sf\longmapsto y=-6[/tex]

Answer:

(- 1, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ) ← midpoint formula

Use this formula on the endpoints and equate to the coordinates of the midpoint.

let the other endpoint = (x, y) , then

[tex]\frac{13+x}{2}[/tex] = 6 ( multiply both sides by 2 )

13 + x = 12 ( subtract 13 from both sides )

x = - 1

[tex]\frac{-2+y}{2}[/tex] = - 4 ( multiply both sides by 2 )

- 2 + y = - 8 ( add 2 to both sides )

y = - 6

The coordinates of the other endpoint are (- 1, - 6 )

An environmental agency worries that many cars may be violating clean air emissions standards. The agency hopes to check a sample of vehicles in order to estimate that percentage with a margin of error of 5​% and 95​% confidence. To gauge the size of the​ problem, the agency first picks 50 cars and finds 12 with faulty emissions systems. How many should be sampled for a full​ investigation?

Answers

Answer:

197

Step-by-step explanation:

Sample proportion is; p^ = 12/50 = 0.24

Margin of error of 5% is given by the formula;

ME = (z_0.05) √[p^(1 - p^)/n]

Let's make n(number of sample) the subject.

n = ((z_0.05)/ME)²((p^)(1 - p^))

From tables, the z-score of 0.05 is 1.645

Thus;

n = ((1.645)/0.05)²(0.24(1 - 0.24))

n ≈ 197

Find the missing length.

Answers

Answer:

  D.  25

Step-by-step explanation:

The left end of the baseline has measure (x-16). In this geometry all of the right triangles are similar, so the short-to-long side ratios are proportional:

  (x -16)/12 = 12/16

  x -16 = 9 . . . . . . . multiply by 12

  x = 25 . . . . . . . . . add 16

The unknown length x is 25.

Answer:

25

Step-by-step explanation:

A conveyor belt carries supplies from the first floor to the second floor, which is 21 feet higher. The belt makes a 60° angle with the ground. How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot. If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?

Answers

Hey there! I'm happy to help!

LENGTH OF CONVEYOR BELT

We are going to have to use some trigonometry. Let's think of this as a right triangle. The conveyor belt is the diagonal or the hypotenuse, while the ground is  and the height of the room make a right angle as the legs.

We have a sixty degree angle between the conveyor belt and the ground. This is means that the 21 foot height is the opposite side of our right triangle. So, we are dealing with the opposite and the hypotenuse, so we will use the sine. The sine of an angle is equal to the opposite length divided by the hypotenuse length.

We will set up the following equation and solve for the length of our conveyor belt (c).

[tex]sin60=\frac{21}{c}[/tex]

We multiply both sides by c.

[tex]c(sin60)=21[/tex]

We divide both sides by sin60.

[tex]c=\frac{21}{sin60}[/tex]

If we evaluate this with a calculator, we get that c is equal to 24.2487113..., or 24 when rounded to the nearest foot.

So, the supplies travel 24 feet from one end to the other.

DURATION OF TRAVEL

We want to find how long it takes the supplies to move across the conveyor belt. We see that every minute, it moves 75 feet. We want to see how many minutes it will take to move 24 feet, as that is the length of the conveyor belt as we previously solved. Let's set up a proportion.

[tex]\frac{feet}{minute} =\frac{75}{1} =\frac{24}{m}[/tex]

We cross multiply, giving us the following equation.

75m=24

We divide both sides by 75.

m=0.32

We want to round to the nearest tenth of a minute, so it will take 0.3 minutes for the supplies to move to the second floor.

Have a wonderful day! :D

please help!! due soon!
Use the graph to complete the statement. O is the origin. T ο r(180°,O) : (4,2)
A. (-5, 0) B. (3, 4) C. (-3, -4) D. ( -4, -2)

Answers

Answer:  D.  (-4, -2)

Step-by-step explanation:

Rotating 180° about the origin means the signs for the x- and y-values are opposite.

(x, y) → (-x, -y)

(4, 2) → (-4, -2)

The coordinate after 180° of rotation will be (-4, -2). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The line is y = mx, then the point (4, 2).

The point (4, 2) is in the first quadrat.

The line is rotated by 180° about the origin.

Then the coordinate will lies in the third quadrant.

Then the value of the abscissa and ordinate will be transformed into negative.

Then the coordinate after 180° of rotation will be (-4, -2).

Then the correct option is D.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ5

Mrs. Yadav purchase 25 kg of vegetable at Rs 20 per kg and sold at a loss of Rs 50 find her
Selling rate and loss percent​

Answers

Answer:

[tex] \boxed{loss\% \: = 10\%}[/tex][tex] \boxed{selling \: price = Rs 450}[/tex]

Step-by-step explanation:

Given,

Cost price of 25 kg of vegetables ( CP ) = 25 × 20

= Rs 500

Loss amount = Rs 50

Selling price ( SP ) = ?

Loss percent = ?

Now, let's find the loss percent :

[tex] \mathsf{ \frac{loss}{cost \: price} \times 100\%}[/tex]

[tex] \mathsf{ = \frac{50}{500} \times 100\%}[/tex]

[tex] \mathsf{ = 10\%}[/tex]

Loss % = 10 %

Now, let's find the selling price:

[tex] \mathsf{ \frac{CP(100 - l\%)}{100} }[/tex]

[tex] \mathsf{ = \frac{500(100 - 10)}{100}} [/tex]

[tex] \mathsf{ = \frac{500 \times 90}{100} }[/tex]

[tex] \mathsf{ = \frac{45000}{100} }[/tex]

[tex] \mathsf{= 450}[/tex]

Hope I helped!

Best regards!

Convert 25 feet per second to miles per hour.​

Answers

1 mile = 5,280 feet

1 hour = 3600 seconds

3600/5280 = 0.681818 feet per second

25 ft per second x 0.681818 = 17.045 miles per hour

Round the answer as needed.

Answer:

The correct answer is 17.045 miles per hour.

Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
ОА
The equation that represents this situation is x-3 = 21. The second number is 24.
ОВ.
The equation that represents this situation is 3x = 21. The second number is 7.
Ос.
The equation that represents this situation is -3x = 21. The second number is -7.
OD.
The equation that represents this situation is -3 + x = 21. The second number is 18.

Answers

nOSE

D

AS

DA

DAS

DA

SD

ADA

SD

Answer:

Oc

Step-by-step explanation:

Oc because product means multiplication and there is a negative sign

What is the most direct use of a compass in geometric constructions?

A.
to draw congruent angles

B.
to draw arcs of a given size

C.
to draw perpendicular lines

D.
to draw straight lines

Answers

Answer:

B

Step-by-step explanation:

to draw arcs of a given size

Answer:

B. to draw arcs of a given size.

Step-by-step explanation:

its correct on plato :)

help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? a) –34 b) –19 c) 2 d) 14

Answers

Answer:  d) 14

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d):

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of a line passing through (2, 18) and (–3, 8):

[tex](y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14[/tex]

Comparing resulting equation [tex]y=2x+14[/tex] to [tex]y = m x + b[/tex], we get value of b= 14.

Hence, correct option is d) 14

What value of x is in the solution set of 2(3х – 1) > 4х – 6?
—10
-5
—3
-1
Help me

Answers

Answer:

-1

Step-by-step explanation:

2(3х – 1) > 4х – 6

Distribute

6x -2 > 4x-6

Subtract 4x from each side

6x-2-4x > 4x-6-4x

2x-2 > -6

Add 2 to each side

2x-2+2> -6+2

2x> -4

Divide by 2

2x/2 > -4/2

x > -2

The number is greater than -2

The only number that is greater than -2 is -1

???? help please i don’t understand this

Answers

Answer:

  1.5

Step-by-step explanation:

We hope there is something in the context of this question that tells you this is a geometric sequence. If not, it is not possible to choose an appropriate answer.

__

Assuming a geometric sequence, the n-th term is found from the first term (a1) and the common ratio (r) to be ...

  an = a1·r^(n-1)

Using the given values, we can solve simultaneous equations to find a1 and r:

  a2 = 48 = a1·r^(2-1) = a1·r

  a5 = 6 = a1·r^(5-1) = a1·r^4

The ratio of these terms is ...

  a5/a2 = (a1·r^4)/(a1·r) = r^3

  6/48 = r^3 = 1/8

  r = ∛(1/8) = 1/2

__

To find the 7th term, we can make use of the fact that one term is related to the next by the common ratio. (We don't need to find a1.)

Then the 7th term is ...

  a7 = a1·r^(7-1) = a1·r^6 = (a1·r^4)·r^2 = a5·r^2

  a7 = 6·(1/2)^2 = 6/4 = 1.5 . . . . . . substitute for a5 and r

The 7th term is 1.5.

The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include in the mixed bag?

Answers

Total weight required is half pound, so let the amount of cashews be [tex] a[/tex] , and amount of peanuts be $b$

$\therefore a+b=0.5$ (1)

And we want this to cost $2.80$

Cost of $a$ pound of cashews will be $5.50\times a$ and cost of $b$ pound peanuts will be $2.30\times b$

$\therefore 5.5a+2.3b=2.8$ (2)

Substitute $a=0.5-b$ from equation (1) in equation (2)

$5.5(0.5-b)+2.3b=2.8$

$\implies -3.2b=2.8+5.5\times0.5 $

$\implies -3.2b=0.05$

$b$ comes out to be negative. That means there's no solution with the given conditions.

I checked once , I don't think there's any mistake. Can someone else verify too?

EDIT

I verified all the given options from calculator, and no option gives 2.80

PLEASE Help! I need this by tomorrow!

Answers

Answer:

18m

Step-by-step explanation:

6 times 3 = 18

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