How to do quadriatic equations

Answers

Answer 1
The quadratic formula helps us solve any quadratic equation. First, we bring the equation to form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

This is proven and I’m positive this is what your asking! BRAINLIEST please

Related Questions

Find the area of a semicircle

Answers

Answer:

18pi, or 56.52

Step-by-step explanation:

To start off, if you were to find the area of any whole circle, you would use the formula: pi x radius^2 = area of circle

However, since this is a semi-circle (half of a whole circle) you would divide the whole expression by 2, and then solve:

(pi x radius^2)/2 = area of semi-circle

(pi x 6^2)/2 = area of semi-circle

(36 x pi)/2 = area of semi-circle

18 x pi = area of semi-circle

18 x 3.14 = area of semi-circle

56.52 = area of semi-circle

The area of a circle is

[tex]\pi \: {r}^{2} [/tex]

So the area of a semicircle would be half of that, or

[tex] \frac{\pi}{2} {r}^{2} [/tex]

So just plug in the radius, six, to get this

[tex]18\pi[/tex]

Francesca has already knit 28 centimeters of scarf, and can knit 7 centimeters each night. How many nights will Francesca have to spend knitting in order to knit a total of 42 centimeters of scarf?

Answers

Answer:

2 nights

Step-by-step explanation:

We need to find how many nights Francesca will have to spend to knit the rest of the scarf.

First, we have to find how much she has left to knit, and then find how many nights it will take her.

She has already knit 28 centimeters of scarf.

She wants to knit a total of 42 centimeters of scarf.

Therefore, the length of scarf left to knit is:

42 - 28 = 14 centimeters

She can knit 7 centimeters each night.

Therefore, the number of nights more she needs to knit 14 centimeters is:

14 / 7 = 2 nights

She will spend 2 nights to knit a total of 42 centimeters of scarf.

In how many wages can the starting six players of a volleyball team stand in a row for a picture

A:6
B:36
C:720

Answers

I think the answer is B that what i think

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

10
12
20
24

Answers

Answer:

The answer is 20

Step-by-step explanation:

Given that the smallest angle of rotation for a regular hexagon is 18°. We are to find the number of sides of the polygon. Since the polygon is regular, so all its sides and angles are equal.

Answer:

its 20

Step-by-step explanation:

got it right on my test

Aubrey is selling collection of art and makes a 12% commission on all sales. What would her commission be on the sales of a $ 3250 collection of art?

Answers

Answer:

$390

Step-by-step explanation:

3250 x 0.12 = 390

Answer:

The answer is $390

Find 3 consecutive even integers whose sum is 138.

Answers

Answer:

The integers are:

44,46,48

Step-by-step explanation:

Tony has a bag of 10 quarters, 12 nickels, and 8 dimes. Tony selects a coin, records it, then replaces it back in the bag before choosing again.

Find the probability he selects a quarter first, dime second, and nickel

third. Write your answer in a fraction in simplest form.


Please help me!!

Answers

Answer:

8/225

Step-by-step explanation:

The probability of each event would be the number of the type of currency that you have specified divided by the total number of coins, in this case the total amount of coins does not change as the coin returns to the bag.

The total number of coins is: 10 + 12 + 8 = 30

The probability of finding a quarter is:

10/30

The probability of finding dime is:

8/30

The probability of finding nickel is:

12/30

The final probability then is:

(10/30) * (8/30) * (12/30) = 960/27000

If we simplify this, dividing both numbers by 120, we are left with:

8/225

If the hypotenuse of a right triangle measures 15 cm and one of the legs measures 12 cm, what is the length of the other leg?

Answers

Step-by-step explanation:

12 to the 2nd power=144

15 to the 2nd power =225

225-144=81

square root of 81 is 9

Use the interactive graph to plot each set of points which set represents proportional relationships check all that apply

Answers

Answer:

the first and third

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

PLEASE HELP I"M BAD AT MATH Use the Distributive Property to simplify the expression.

13(n+4+7m) =

Answers

So you multiply 13 by each variable and it’s coefficient.

13n+52+91m

Answer:

13n + 52 + 91m

Step-by-step explanation:

you multiply 13 by every number in the parenthesis

13×n=13n

13×4=52

13×7m=91m

The Jones family has saved a maximum of $750 for their family vacation to the beach.  While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75.  The inequality can be used to determine the number of nights the Jones family could spend at the hotel
750≥75 + 125h

Answers

Answer:

Value of h greater than 5.4 will make inequality false.

Step-by-step explanation:

This question is incomplete; here is the complete question.

The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ 75 + 125h. What value of h does NOT make the inequality true?

From the given question,

Per night expense (expected) = $125

If Jones family stays in the hotel for 'h' days then total expenditure on stay = $125h

Charges for scuba diving = $75

Total charges for stay and scuba diving = $(125h + 75)

Since Jones family has saved $750 for the vacation trip so inequality representing the expenses will be,

125h + 75 ≤ 750

125h ≤ 675

h ≤ [tex]\frac{675}{125}[/tex]

h ≤ 5.4

That means number of days for stay should be less than equal to 5.4

and any value of h greater than 5.4 will make the inequality false.

What is the radian measure of an angle of 132°?

Answers

Answer:

11/15 pi radians

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

132 * pi/180

11/15 pi

Answer:

2.304 radians

hope this helps :)

The equation h(t)= -16t^2+864t models the path of a rocket shot into the air. After how many seconds does the rocket hit the ground?

Answers

Answer:

t = 54 seconds

Step-by-step explanation:

The equation that models the path of a rocket into the air is given by :

[tex]h(t)= -16t^2+864t[/tex]

It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,

h(t) = 0

i.e.

[tex]-16t^2+864t=0\\\\16t(-t+54)=0\\\\16t=0, -t+54=0\\\\t=0\ and\ t=54\ s[/tex]

It means after 54 seconds, the rocket will hit the ground.

A grain silo is 56% full. At the end of the week, it is 3/4 full. What percent of the silo was filled that week?

Answers

Answer:

75 percent

Step-by-step explanation:

3/4 = 75%

75 - 56 = 19%

19%

3/10 is what number of 9

Answers

Answer:

30

Step-by-step explanation:

unknown number = x

3/10 × x = 9

3x/10 = 9

3x = 90

x = 30

Answer:

2.7  or 2 7/10.

Step-by-step explanation:

9 * 3/10

= 27 / 10

= 2.7.

Use what you know about domain to select all of
the following functions that could be the one
graphed.
f(x) - 3
f(x) - V1
Ax) = VX+1
(x) = 3x-3

Answers

where is the photo to determine it

Answer:A & B

Step-by-step explanation:

Your math teacher asks you to help calculate the height of the gulf coast on your football field you and your partner gather the measured as shown find the height of the top of the goal post round to the nearest 10th of a foot

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image for the step by step explanation for the answer to the question

A rectangle has a length of 7.5 inches and a width of 3 inches. This rectangle is dilated by a scale factor of 2.2 to create a new rectangle. What are the dimension of the new rectangle? Length and Width

Answers

Answer:

For this case is the rectangle is dilated a factor of 2.2 we assume that the expansion is in all the dimensions so then the new length and width are:

[tex] L_f = 2.2 L_i= 2.2* 7.5 in = 16.5 in[/tex]

[tex] W_f = 2.2 w_i = 2.2 * 3 in = 6.6 in[/tex]

Step-by-step explanation:

The area of a rectangle is given by [tex] A = L *W[/tex]

For this case is the rectangle is dilated a factor of 2.2 we assume that the expansion is in all the dimensions so then the new length and width are:

[tex] L_f = 2.2 L_i= 2.2* 7.5 in = 16.5 in[/tex]

[tex] W_f = 2.2 w_i = 2.2 * 3 in = 6.6 in[/tex]

And the area would be (2.2)^2 times the initial area since is defined as [tex]A = L_f W_f [/tex]

Answer:

The length and the width of the new rectangle are 16.5 inches and 6.6 inches respectively

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Length = 7.5 inches[/tex]

[tex]Width = 3 inches[/tex]

[tex]Scale factor = 2.2[/tex]

Required

Dimension of the new rectangle

The dimensions of the new rectangle can be solved by multiplying the scale factor by the old dimensions;

This means that

New Length = Scale factor * Old Length

and

New Width = Scale factor * Old Width

Calculating the new length

New Length = Scale factor * Old Length

Substitute 2.2 for scale factor and 7.5 for old length; This gives

[tex]New Length = 2.2 * 7.5 inches[/tex]

[tex]New Length = 16.5 inches[/tex]

Calculating the new width

New Width = Scale factor * Old Width

Substitute 2.2 for scale factor and 3 for old width; This gives

[tex]New Width = 2.2 * 3 inches[/tex]

[tex]New Width= 6.6 inches[/tex]

Hence, the length and the width of the new rectangle are 16.5 inches and 6.6 inches respectively

In △CDE , CD=10 , DE=7 , and m∠E=62∘ . What is m∠D to the nearest tenth of a degree?

Answers

We have been given that in △CDE , CD=10 , DE=7 , and m∠E=62 degrees. We are asked to find the measure of angle D.

We will use law of sines to solve our given problem.

[tex]\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.

First of all we will find measure of angle C as:

[tex]\frac{7}{\sin(C)}=\frac{10}{\sin(62^{\circ})}[/tex]

[tex]\sin(C)=\frac{7\cdot \sin(62^{\circ})}{10}[/tex]

[tex]\sin(C)=\frac{7\cdot 0.882947592859}{10}[/tex]

[tex]\sin(C)=0.6180633150013[/tex]

Now we will use arcsin to solve for C as:

[tex]C=\sin^{-1}(0.6180633150013)[/tex]

[tex]C=38.174844995363^{\circ}[/tex]

[tex]C\approx 38.2^{\circ}[/tex]

Now we will use angle sum property to find measure of angle D.

[tex]\angle D+\angle C+\angle E=180^{\circ}[/tex]

[tex]\angle D+38.2^{\circ}+62^{\circ}=180^{\circ}[/tex]

[tex]\angle D+100.2^{\circ}=180^{\circ}[/tex]

[tex]\angle D+100.2^{\circ}-100.2^{\circ}=180^{\circ}-100.2^{\circ}[/tex]

[tex]\angle D=79.8^{\circ}[/tex]

Therefore, the measure of angle D is approximately [tex]79.8^{\circ}[/tex].

  Measure of angle D will be 79.8°.

Sine rule in a triangle,  Sine rule,

          [tex]\frac{c}{\text{sinC}}= \frac{d}{\text{sinD}}= \frac{e}{\text{sinE}}[/tex]

        Here, c, d and e are the sides and C, D, E are the angles opposite

        to these sides of the given triangle.

Given in the question,

In ΔCDE,

CD = 10 units

DE = 7 units

m∠E = 62°

By applying sine rule,

[tex]\frac{7}{\text{sinC}}= \frac{d}{\text{sinD}}= \frac{10}{\text{sin(62)}}[/tex]

[tex]\frac{7}{\text{sinC}}= \frac{10}{\text{sin(62)}}[/tex]

[tex]\text{sin(C)}=\frac{\text{sin(62)}\times 7}{10}[/tex]

          [tex]=0.618063[/tex]

C = [tex]\text{sin}^{-1}(0.618063)[/tex]

C = 38.175°

   ≈ 38.2°

By triangle sum theorem of a triangle,

m∠C + m∠D + m∠E = 180°

38.2 + m∠D + 62° = 180°

m∠D = 79.8°

       Therefore, measure of angle D will be 79.8°.

Learn more about the sine rule here,

https://brainly.com/question/13152249?referrer=searchResults

My living room is 6m (to the nearest m) by 5m (to the nearest m). What is the maximum and minimum area of my living room? Write your answer as an error interval.
Whoever helps I'll give a brainliest x

Answers

Answer:

24.75m ≤ 30m < 35.75m

Step-by-step explanation:

Minimum area:

5.5 (lower bound of 6m) * 4.5 (lower bound of 5m) = 24.75m

Maximum area:

6.5 (upper bound of 6m) * 5.5 (upper bound of 5m) = 35.75m

Normal area:

6*5=30m

I hope that makes some sense or helps a little!

A bicycle factory produces 1505 bicycles in a week. How many bicycles will it produce in 30 days?
and
20 apples are distributed between Aaron and Ben in the ratio 2 : 3. Find, how many does each get?

Answers

Answer:

It will produce 6450 bicycles in 30 days

Aaron has 8 apples and Ben has 12 apples

Step-by-step explanation:

A)

A bicycle factory produces 1505 bicycles in a week.

No. of days in 1 week = 7

So, Number of bicycles produced in 7 days = 1505

Number of bicycles produced in 1 day =[tex]\frac{1505}{7}[/tex]

Number of bicycles produced in 30 days = [tex]\frac{1505}{7} \times 30=6450[/tex]

So, It will produce 6450 bicycles in 30 days

B)20 apples are distributed between Aaron and Ben in the ratio 2 : 3.

Let the ratio be x

So, Aaron has apples = 2x

Ben has apples = 3x

So, 2x+3x=20

5x=20

x=4

Aaron has apples = 2x =2(4)=8

Ben has apples = 3x =3(4)=12

Hence Aaron has 8 apples and Ben has 12 apples

Identify the conic that is formed by the intersection of the plane described and double-napped cone.
A plane is perpendicular to m and does not intersect the vertex.

What is the conic section formed?
A. circle
B. parabola
C. ellipse

Answers

Answer:

A. Circle

Step-by-step explanation:

Perpendicular to m is parallel to the base of the cones (circular).

Therefore the cross section would be a circle (except at the vertex)

Evaluate the expression 9P1

Answers

Answer :

9

Explanation :

The expression above signifies the Permutation expression

Permutation expression is given as nPr

The Permutation expression is calculated as:

nPr = P(n, r) = n! / (n - r)!

It the above question, we were asked to evaluate the expression 9P1

From the above question, we can see that:

n = 9 and r = 1

Therefore, the expression

9P1 = 9! / ( 9 - 1) !

9P1 = 9! / 8!

= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 362880 /40320

= 9

Therefore, the evaluation of the expression 9P1 = 9

Final answer:

To evaluate the expression 9P1, we calculate the permutation for selecting 1 item from 9, which simplifies to 9/1, giving us the answer of 9.

Explanation:

The student has asked to evaluate the expression 9P1, which is a permutation problem. To find 9P1, we use the permutation formula, which is P(n, k) = n! / (n-k)!, where n is the total number of items to choose from, and k is the number of items to choose. In this case, since we want to choose 1 item from 9, the permutation is calculated as:

Identify the values of n and k (n=9, k=1).Apply the permutation formula: 9P1 = 9! / (9-1)! = 9! / 8!.Simplify the factorial expression: 9! / 8! = 9 / 1 = 9.

Therefore, the value of 9P1 is 9.

Please help me I have been stuck on this question for ages

Answers

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is [tex]P(g)=\frac{4}{9}[/tex]

and [tex]P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}[/tex]

Thus [tex]\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}[/tex]

[tex]\frac{g}{g+r}=\frac{4}{9}[/tex]

[tex]\Rightarrow 9g=4g+4r[/tex]

[tex]\Rightarrow 5g=4r\quad \ldots(i)[/tex]

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

[tex]P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}[/tex]

[tex]\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}[/tex]

[tex]\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}[/tex]

[tex]\Rightarrow 10g+10r+60=23g+46[/tex]

[tex]\Rightarrow 10r+14=13g\ quad \ldots(ii)[/tex]

Substitute the value of g in equation (ii)[/tex]

[tex]\Rightarrow 10\times \frac{5}{4}g+14=13g[/tex]

[tex]\Rightarrow \frac{25}{2}g+14=13g[/tex]

[tex]\Rightarrow g=28[/tex]

Therefore [tex]r=35[/tex]

Thus there 28 green counter and 35 red counter

The box plot was created by using which pieces of data?

A box-and-whisker plot. The number line goes from 0 to 130. The whiskers range from 5 to 130, and the box ranges from 10 to 105. A line divides the box at 40.

a maximum of 130 and a lower quartile of 10
a maximum of 130 and a lower quartile of 5
a maximum of 135 and a lower quartile of 10
a maximum of 135 and a lower quartile of 5

Answers

Answer:

  (a)  a maximum of 130 and a lower quartile of 10

Step-by-step explanation:

The whiskers of a box plot extend from the minimum to the maximum. The box ranges from the lower quartile to the upper quartile. The middle line divides the box at the median.

Your plot has ...

minimum: 5lower quartile: 10median: 40upper quartile: 105maximum: 130

The maximum and lower quartile are correctly described as 130 and 10, respectively.

Answer:

A. a maximum of 130 and a lower quartile of 10

Step-by-step explanation:

What dose equal -7+4(-4)=?

Answers

Answer:

-23

Step-by-step explanation:

PEMDAS says to multiply first, so we multiply 4 by -4 and get -16.

Now the equation is -7 - 16. Change the subtraction sign into addition and the negative 16 into a positive, and the equation is -7 + -16.

-7 + -16 is -23.

Find lim x -2 f(x) for: a . f(x) = 9 b. f(x) = x

Answers

Answer:

Step-by-step explanation:

Given the limit function

Lim x → 2: f(x)

1. When f(x) = 9

Then,

From limit theorem

Lim x → xo: K = K

Where k is a constant. Then, the limit of a constant is that constant.

Lim x → 2: 9 = 9

So limit is 9.

2. Lim x → 2: f(x)

Lim x → 2: x

When x = 2

Lim x → 2: 2 = 2

Then, x = 2.

A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?
72
108
324
1,728

Answers

Answer: D- 1,728

Step-by-step explanation: I did the quiz

Answer:

d

Step-by-step explanation:

Day 1: Day 2: Comparison of Day 1 and Day 2: ____ < _____ or _____ > _______ Comparison of days with absolute value: ____ < _____ or _____ > _______

Answers

Answer:

Step-by-step explanation:

Hello!

Full text:

Here are the low temperatures (in degrees Fahrenheit) for one week in Montreal, Canada:

                          -3.5ºF, 5ºF, 1.5ºF, -0.5ºF, -2ºF, 2.5ºF, -4ºF

Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.

You have to choose two days at random and compare the values of temperature registered those days and compare them, for example:

Day 1: 3rd day: 1.5ºF

Day 2: 7nth day: -4ºF

Comparison of Day 1 and Day 2:

Remember:

"<" indicates that the value from the left is less than the value from the right.

">" indicates that the value from the left is greater than the value from the right.

The temperature registered on Day 1 is 1.5ºF and the temperature registered on Day 2 is -4ºF, as you notice the second temperature is negative and therefore is less than the first temperature:

                                            1.5ºF > -4ºF

Comparison of days with absolute value:

To compare absolute values you have to disregard the sign and consider only the number of the temperature:

|Day 1|= |1.5ºF|

|Day 2|= |4ºF|

Then the registered temperature of Day 1 is less than the registered temperature on Day 2:

                                              |1.5ºF| < |4ºF|

I hope this helps!

Answer:

-4ºF and 1.5ºF

Step-by-step explanation:

Tara has a magnet collection from places she visited. She measures the length of the magnets to the nearest half inch and records the data in a line plot. Are more magnets longer than 2 1/2 inches or shorter than 2 1/2 inches? Explain

Answers

Answer:

there are more magnets that  longer than 2 1/2

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From the photo, we can see that:

Length of the magnet:

1 inch there is 1 magnet[tex]1\frac{1}{2}[/tex] inches there are 2 magnets2 inches there are 3 magnets 3 inches there are 4 magnets [tex]3\frac{1}{2}[/tex] there is 1 magnet4 inches there are 2 magnets

=> the total number of magnets that  longer than 2 1/2 are: 4+1+2 = 7

=> the total number of magnets that  shorter than 2 1/2 are: 1+2+3 = 6

Hence, there are more magnets that  longer than 2 1/2

Hope it will find you well.

Answer:

Step-by-step explanation:

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