(-5, 0) and (8, 0)
Quadratic function

Answers

Answer 1

We need to know about roots of a quadratic equation to solve the problem. The quadratic equation is [tex]x^{2} -3x-40=0[/tex]

Quadratic equation is an equation with the highest degree of the variable being 2. A quadratic equation has two roots. The two roots can be real and different or real and equal or imaginary. The roots of a quadratic equation can be found using factorization method. The roots of a quadratic equation can be used to find the quadratic equation itself. Here in this question we have two points (-5,0) and (8,0). These points lie on the x-axis hence we can say that they are the two roots of the equation and the quadratic equation is in terms of x since it cuts the x-axis. Hence we can say that the two roots of the equation are -5 and 8.

For a quadratic equation [tex]ax^{2} +bx+c=0[/tex] let us say that the roots are α and β

α+β=-b/a

αβ=c/a

Here α and β are -5 and 8

-5+8=-b/a ⇒b/a=-3

c/a=-5 x 8=-40

The quadratic equation is given by [tex]x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex] which is [tex]x^{2} -3x-40=0[/tex]

Therefore we found the quadratic equation using the two points given, the equation is [tex]x^{2} -3x-40=0[/tex]

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Related Questions

Below is a distance with given lengths to help Cecil cross the tightrope. Find a way to get cecil cross the tightrope.Write your
solutions as numerical expressions. the length of the tightrope is 15 feet long the lengths are 2,6 and 8 feet. Explain why or why not you can use these lengths. PLEASE HELP WORTH A LOt OF POINTS

Answers

The lengths can be used since it's more than the tightrope.

How to illustrate the information?

It should be noted that the the length of the tightrope is 15 feet long and the lengths given are 2,6 and 8 feet.

The addition of the lengths will be:

= 2 + 6 + 8

= 16 feet

Therefore, the lengths can be used since it's more than the tightrope. In this case, 26 feet is more than 15 feet.

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You're a manager in a company that produces rocket ships. Machine A and Machine B both
produce cockpits and propulsion systems. Machine A ran for 22 hours and produced 3 cockpits
and 5 propulsion systems. Machine B ran for 44 hours and produced 6 cockpits and 10
propulsion systems.
Assume both machines produce cockpits at the same rate and both produce propulsion systems
at the same rate.

Answers

Step-by-step explanation:

so, what's the question ?

I don't need to "assume" that both machines have the same rate. it is clearly written there :

A produces in 22 hours 3 cockpits and 5 propulsion systems.

and B produces in twice the time (44 hours) twice the results (6 cockpits, 10 propulsion systems).

that means they have exactly the same production rate for both products.

so, this is confirmed. but what should we do now with this information ?

Answer:

C - No; the system has many solutions

Step-by-step explanation:

I just got it right on khan.

Jasmine used the number line to find the distance between 0 and 5. what was Jasmine’s error

1.jasmine should have counted from 5 to 0

2.jasmine started with the wrong integer.

3.jasmine gave a negative answer for distance.

4. Jasmine ended with the wrong integer.

Answers

The correct answer is option c.

Jasmine gave a negative answer for distance.

The number line is the main visual base in statistics and we often want to look at two points on the number line and determine the distance between them. This is used to find the base of a rectangle or another figure that lies above the number line. By the end of this section, you will be able to determine the distance between any two points on a number line that comes from a statistics application.

The absolute value of 5 is 5, because it is 5 units away from 0. A negative number is a number that is less than zero. On a horizontal number line, negative numbers are usually shown to the left of 0. Two numbers are opposites if they are the same distance from 0 and on different sides of the number line.

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convert the radio to a percent

Answers

Answer:

62.5%

Step-by-step explanation:

We only have the measurement of 2 corresponding sides AE and A'E'.  We are going from the large to the small.

Let x = the scale factor

4x = 2.5  Divide both sides by 4

x = .625   to change that to a decimal multiply by 100

.625 x 100 = 62.5%

5x - 7 > 8 ?? what is the answer solve the inequality

Answers

Answer:

Step-by-step explanation:

Explanation:

This can be rewritten as

18

<

5

x

+

7

<

2

To solve this, isolate

x

. The first step will be subtracting

7

. However, subtract

7

from all parts of the inequality.

18

7

<

5

x

+

7

7

<

2

7

Which yields

25

<

5

x

<

5

Now, divide each part by

5

.

5

<

x

<

1

wolframalpha.com

Answer:

x>3

Step-by-step explanation:

Thats all hope this helps.

What is logs (4-7)+logs2 written as a single log?
O log 21
O log 26
O log,30
O log,56

Answers

Answer:

[tex]\log_556[/tex]

Step-by-step explanation:

Given:

[tex]\log_5(4 \cdot 7)+\log_52[/tex]

Multiply the 4 and 7:

[tex]\implies \log_528+\log_52[/tex]

[tex]\textsf{Apply the Log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]

[tex]\implies \log_5(28\cdot2)[/tex]

Multiply the 28 and 2:

[tex]\implies \log_556[/tex]

Which expressions are equivalent to…

Answers

Answer:  E

Step-by-step explanation:

[tex]\frac{5}{6}(18x^{2} -3x)-\frac{6}{5} (5x^{3} -10x-30x^{2} )[/tex]

[tex]=\frac{5}{6}(18x^{2}) + \frac{5}{6} (-3x) - \frac{6}{5} (5x^{3} )-\frac{6}{5} (-10x)-\frac{6}{5} (-30x^{2} )[/tex]

[tex]= 15x^{2} -\frac{5}{2} x-6x^{3} +12x+36x^{2}[/tex]

[tex]=-6x^{3} + (15x^{2} +36x^{2} )+(-\frac{5}{2}x+12x)[/tex]

[tex]=-6x^{3} + 51x^{2} -\frac{5}{2}x+12x[/tex]

Therefore, the answer is E.

Answer: E.

Step-by-step explanation:

[tex]\displaystyle\\\frac{5}{6} (18x^2-3x)-\frac{6}{5} (5x^3-10x-30x^2)=\\\\\frac{5}{6}(18)(x^ 2)-\frac{5}{6} (3)(x)-\frac{6}{5} (5)(x^3)+\frac{6}{5}(10)(x)+\frac{6}{5} (30)(x^2)=\\\\ \frac{5*18}{6} x^2-\frac{5*3}{6}x -\frac{6*5}{5} x^3+\frac{6*10}{5}x+\frac{6*30}{5} x^2=\\\\5*3*x^2-\frac{5}{2} x-6x^3+6*2*x+6*6*x^2=\\\\15x^2-\frac{5}{2}x-6x^3+12x+36x^2=\\ -6x^3+51x^2-\frac{5}{2} x+12x[/tex]

Which number sentence is not true?
A) -4.51 4.5
B) |0| < |-45|
C) |45|> 0
D) 14.5| |-45|

Answers

The answer is c or d

Which relation is a function?

Answers

Bottom right, use the vertical line test.
Draw a up and down line anywhere on the graph and it should only touch the line AT MOST 1 time

1.Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

Answers

Answer:

x=8

Step-by-step explanation:

So 6^2+x^2=10^2

36+x^2=100

x^2=64

x=8

Answer:

first put name of triangle abc than

angle _abc =180degree

10+6+c=180

16+c=180

180÷16=c

c=11.25

the value of x is 11.25 ans

Can someone please help me does anyone know the rest of the problem I can’t sloved please help

Answers

The equation of the given function will be h=-0.096x+30.6. The mass will be 63.5 grams.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

1.) The slope of the given function will be,

Slope = (25.8 - 30.6) / (50 - 0) = -4.8/50 = -0.096

Now, substitute the values in the general linear equation,

h = -0.096x + c

30.6 = -0.096(0) + c

c = 30.6

Therefore, the equation of the given function will be h=-0.096x+30.6.

2.) Mass when the height is given as 24.5 cm, will be,

h = -0.096x + 30.6

24.5 = -0.096x + 30.6

24.5 - 30.6 = -0.096x

-6.1 = -0.096x

x = -6.1/-0.096

x = 63.5

Hence, the mass will be 63.5 grams.

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(x)/(p)+(x)/(q)=s solve for x

Answers

Answer:

x = s/(1/q + 1/p)

Step-by-step explanation:

Solve for x:

x/p + x/q = s

Collect in terms of x:

x (1/q + 1/p) = s

Divide both sides by 1/q + 1/p:

Answer: x = s/(1/q + 1/p)

HURRY IM TIMED Explain how to find the estimated sum of 5/8+2/9​

Answers

Answer:

61/72

Step-by-step explanation:

first find the lowest common denominator - basically in this case the lowest number that goes into 8 and 9 - 8 x 9 which is 72, then

8 goes into 72 9 times so do 9 x the numerator (5)

9 x 5 = 45

Do the same for the second fraction, 9 goes into 72 8 times so do 8 x numerator (2)

8 x 2 = 16

Now add 45+ 16 = 61 ( this is your numerator)

and you keep the denominator (72) the same, so the answer is 61/72

please help!!!!!!!!!!

Answers

Line 3
Because it’s dividing by the variable “x” not so much the number (2)

Line Segment AD=11x+10.6. Find the length of AB and CD. Show all work

Answers

The lengths of AB and CD are 12 and 26.5 units

How to find the lengths of AB and CD?

The given parameters are

AB = 2x + 3

BC = 21

CD = 7x - 5

AD = 11x + 10

The points are on line AD

So, we have

AD = AB + BC + CD

This gives

11x + 10 = 2x + 3 + 21 + 7x - 5

Evaluate the like terms

2x = 9

Divide by 2

x  = 4.5

Substitute x  = 4.5 in AB = 2x + 3 and CD = 7x - 5

AB = 2 * 4.5 + 3 = 12

CD = 7 * 4.5 - 5 = 26.5

Hence, the lengths of AB and CD are 12 and 26.5 units

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PLEASE HELP!!!! WIILL MARK BRAINLIEST

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $10. The auditorium can hold no more than 140 people. The drama club must make at least $1100 from ticket sales to cover the show's costs. If a represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.​

Answers

Answer:

y ≥ -0.65x +110  

y ≤ -x +140

45 students, 95 adults

Step-by-step explanation:

6.50x + 10y ≥ 1100 --> 10y ≥ -6.50x + 1100 --> y ≥ -0.65x +110  

x + y ≤ 140 --> y ≤ -x +140

can someone awnser this for me please?

Answers

Answer:

1.Yes

2.Yes

3.No

4.Yes

5.Yes

6.No

I hope it's help

Answer:

1. yes

2.Yes

3.no

4.no

5.yes

6.yes

Step-by-step explanation:pa brainliest po thankyou

Rewrite (225 + 45) using factoring.

Answers

Answer:

15(16+3) is the right answer

Step-by-step explanation:

mark me brainliest PLS

Find all real solutions of the equation, rounded to two decimals. (Enter your answers as a comma-separated list.)
x^4 − 4x^2 + 2 = 0

Answers

The real solution of the equation are +0.77, -0.77, +1.85, -1.85.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

x^4 − 4x^2 + 2 = 0

(x²)² - 4x² + 2 =0

let us consider y= x², then the above equation become

y² - 4y + 2 =0

On further solving for 'y' we have

y= -b±√(b² -4ac) / 2a

y= 4±√(16-8)/2

y=4±2√2/2

y= 2 + √2, y=2-√2

Now, y= x²

x² = (2 + √2),  x²= 2-√2

x= +1.8477, -1.8477 , +0.7653, -0.7653

x= +0.77, -0.77, +1.85, -1.85

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Again it’s me, PLEASE PLEASE PLEASE I am so tired it’s 10 pm and I literally do not know what to do for this question if any of you know what to do please solve it

Answers

Answer:

x=1 and 4

suppose t=x1.5

What number n is four times as close to 10 as it is to 2 ?

Answers

Answer: n=38/3

Step-by-step explanation:

4*(n-10)=(n-2)

4*(n-10)=n-2

4n-40=n-2

3n-40=-2

3n=38

n=38/3

The number n is four times as close to 10 as it is to 2 would be 38/3.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The equation form here;

4*(n-10)=(n-2)

4*(n-10)=n-2

4n-40=n-2

3n-40=-2

3n=38

n=38/3

Therefore, The number n is four times as close to 10 as it is to 2 would be 38/3.

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Kim drew a map of Mississippi Rive. The scale was 5 centimeters represents 120 mikes. Th as tusk length is 2320 miles. What is actual length in centimeters of the Mississippi River?

Answers

The actual length of the river on centimetres is 97 centimetres

How to find the length of the Mississippi River using the scale?

The scale was 5 centimetres represents 120 miles.

Therefore, on the scale

5 centimetres = 120 miles

Now, let's find the length in centimetres if the river is measured as 2320 miles.

120 miles  = 5 centimetres

2320 miles = ?

cross multiply

actual length of the river in centimetres = 2320 × 5 / 120

actual length of the river in centimetres = 11600 / 120

actual length of the river in centimetres = 96.6666666667

actual length of the river in centimetres = 97 centimetres.

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Test coming up need your help.

Answers

The linear equation that represents the number of pages that Lourdes still need to read will be y =  y = 30x + 3/5y.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables. It should be noted that the person is reading a biography.

It should be noted she reads 30 pages each day and after 9 days, he has read 3/5 of the pages.

Therefore, the linear equation that represents the number of pages that Lourdes still need to read will be:

y = (30 × x) + (3/5 × y

y = 30x + 3/5y.

Finally, this is the linear equation representing the pages that Lourdes read.

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how many real solutions does 3x² +24x = -48 have

Answers

Answer:

1

Step-by-step explanation:

3x² +24x = -48

3x² +24x + 48 = 0

x² +8x + 16 = 0

By using cross multiplication,

(x-4)² = 0

Therefore,

x-4 = 0

x = 4 (repeated)

Answer:

Only one real solution

Step-by-step explanation:

[tex]{ \tt{ {3x}^{2} + 24x = - 48}} \\ { \tt{ {3x}^{2} + 24x + 48 = 0 }} \\ { \tt{ {x}^{2} + 8x + 16 = 0}} \\ { \tt{(x + 4) = 0}}

Consideri the expression 5/6(1/2x+6) - 3x

Answers

Therefore, the value for the algebraic expression 5 / 6 ( 1 / 2 (x) + 6 ) - 3x for x = 12 is -26.

Given algebraic expression is 5/6(1/2 (x) + 6 )-3x

As we know An algebraic expression in mathematics is an expression that consists of variables and constants, along with algebraic operations such as addition, subtraction, etc., and are made up of terms

Solve the expression for x = 12

To solve this algebraic expression we have to substitute the value of x = 12 in an expression as below

= 5 / 6 ( 1 / 2 (x) + 6 ) - 3x

Substitute the value of x in the given expression as below

= 5 / 6 ( 1 / 2 * 12 + 6 ) - 3 * 12

= 5 / 6 ( 6 + 6 )) - 36

= 5 / 6 ( 12 ) - 36

= 5 * 2 - 36

= 10 - 36

= -26

Therefore, the value  for the expression 5 / 6 ( 1 / 2 (x) + 6 ) - 3x for x = 12 is -26.

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(23)n=(1111)2 what is the value of n

Answers

Answer:

Hello,

n=6

Step-by-step explanation:

1111 in binary is 15 in décimal

(23) base n=15 ==>

2*n+3=15

2n=12

n=6

Two positive integers that differ by 9 are in the ratio of 8 to 11. What is the value of the smaller of the two numbers?​

Answers

The numbers are 24 and 33 so the smaller one is 24

Answer:

24 and 33 are the numbers among which 24 is the smallest.

Step-by-step explanation:

Let one positive integer be x, then another will be x - 9

Solve:

[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]

cross multiply

[tex]\sf 11x-99= 8x[/tex]

collect like terms

[tex]\sf 11x-8x = 99[/tex]

simplify

[tex]\sf 3x = 99[/tex]

divide both sides by 3

[tex]\sf x = 33[/tex]

As the integer is positive, x = 33, then another will be 33 - 9 = 24.

what is the perimeter of (-2,1) (3,1) (3,-1) (-2,-1)

Answers

Answer:

 14

Step-by-step explanation:

Given the points (-2,1), (3,1), (3,-1), and (-2,-1) that are the vertices of a quadrilateral, you want to find the perimeter.

Perimeter

The perimeter of a plane figure is the sum of the lengths of its sides. When you plot these points, you see they define a rectangle with horizontal sides of length (3-(-2)) = 5, and vertical sides of length (1 -(-1)) = 2. There are two sides of each of these lengths, so the perimeter is ...

  P = 2(L+W) = 2(5 +2) = 2(7)

  P = 14

The perimeter of the figure is 14 units.

__

Additional comment

When trying to work out measures associated with a set of points, it is often useful to graph those points.

A survey of 163 persons was conducted at TCC, and it was found that 90 persons carried a cell phone, 81 persons carried a tablet computer, and 43 carried both a cell phone and a tablet.

Answers

1. The number of people who carried a cell phone or a tablet is 128.

2. The probability that a person carries a cell phone or a tablet is 78.5%.

3. The number of people who carried neither a cell phone nor a tablet is 35.

4. The probability that a person carried neither a cell phone nor a tablet is 21.5%.

5. The number of people who carried a cell phone only is 43.

6. The probability that a person carried a cell phone only is 26.4%.

7. The number of people who carried a tablet but not a cell phone is 38.

8. The probability that a person carried a tablet but not a cell phone is 23.3%.

Data and Calculations:

The sample size of the survey = 163

The number of persons who carried a cell phone = 90

The number of persons who carried a tablet computer = 81

The number of persons who carried both a cell phone and a tablet = 43

1. The number of people who carried a cell phone or a tablet is 128 (90 + 81 - 43).

2. The probability that a person carries a cell phone or a tablet is 78.5%. (128/163).

3. The number of people who carried neither a cell phone nor a tablet is 35 (163 - 128).

4. The probability that a person carried neither a cell phone nor a tablet is 21.5% (35/163).

5. The number of people who carried a cell phone only is 43.

6. The probability that a person carried a cell phone only is 26.4%(43/163).

7. The number of people who carried a tablet but not a cell phone is 38 (81 - 43).

8. The probability that a person carried a tablet but not a cell phone is 23.3% (38/163).

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Question Completion:

1. How many people carried a cell phone or a tablet?

2. What is the probability that a person carries a cell phone or a tablet?

3. How many people carried neither a cell phone nor a tablet?

4. What is the probability that a person carried neither a cell phone nor a tablet?

5. How many people carried a cell phone only?

6. What is the probability that a person carried a cell phone only?

7. How many people carried a tablet but not a cell phone?

8. What is the probability that a person carried a tablet but not a cell phone?

14. A certain real estate agent uses what he calls a step- strategy to sell houses. He puts a house on the market at a higher-than - expected selling price and if it hasn't sold in two weeks, he drops the price by 5%. If it still hasn't sold in another 2 weeks , he drops the price by another 5 %. After that , he continues to drop the price by 3% every two weeks until it reach es a cut -off amount assigned by the home owner , or the house sells , whichever comes first . If a house is originally listed at $200,000 and the homeowner sets a cut -off amount of $166,000 , what is the final selling price given that the house sells after being on the market for 9 weeks ? A ) $162,901.25 B) $164,737.48 $166,000.00 D ) $169,832.45

Answers

Answer:

vvvyaz

Step-by-step explanation:

szahvzlvzlz

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