Use the quadratic formula to solve the equation: 0 = x2 + x - 20

Answers

Answer 1

Answer:

(x-4)*(x+5) : x =4,-5

Step-by-step explanation:

a= 1

b= 1

c= -20

x1,2 = (-1+-(1 - (4*1*-20))^0.5)/2

x1,2 = (-1+-(1+80)^0.5)/2

x1,2 = (-1+-(81^0.5))/2

x1,2 =(-1+-9)/2

x1 = 8/2 = 4 x2 = -10/2 = -5


Related Questions

Warmup Day 1
(5^2+ 4) x 5 - 2 + (-4)
Please work this Problem out step by step
x Clear
Undo

Answers

Answer: 139

Step-by-step explanation:

(5^2+4)*5-2+(-4)

(25+4)*5-2+(-4)

29*5-2-4

145-2-4

139

which of the following is a true statement of the figure​

Answers

Answer:

Step-by-step explanation:

The statement that is true for the given figure will be AD/DC = AB/CB.

So the correct option is A.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

The triangle ABC is divided into two triangle by a median DB that are;

Triangle ADB and Triangle ADC

So here the proportion form as;

AD/DC = AB/CB.

Therefore, The statement that is true for the given figure will be AD/DC = AB/CB.

So the correct option is A.

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2a2 b3 and -4a2 b3 are like terms.
True
False

Answers

Answer:

I believe it would be TRUE but sorry if I'm wrong!

Step-by-step explanation:

Answer: True

Step-by-step explanation:

I got it right on my lesson.

WILL GIVE BRAINIEST, THANKS AND 5 STARS PLS SOLVE Angie walks ⅓ mile to school and ⅓ mile home each day. If she gets a ride each way to school half the time, how many miles does she walk to and from school each school year? (Hint: You can assume there are 180 days in the school year)

Answers

Answer:

60 miles

Step-by-step explanation:

all you do is 1/3 + 1/3 and get 2/3. then times that by 180. You get 120. divide that by 2 because half the time she gets a ride and you get 60.

What makes your arguments convincing? Check any of the boxes that apply. I have strong opinions about many things. I can easily convince people that I’m right. I think about why I believe in things and use my beliefs to support my point. I back up my opinions with facts. I’m good at sounding like I know what I’m talking about, no matter what.

Answers

Answer:

Everything in the option.

When you know what you are doing and what you are saying then you can be able to convince your audience.

Answer:

I can easily convince people that I'm right

I back up my opinions with facts

Step-by-step explanation:

Correct on E2020

PLZZZZZZZZ HELP ME I WILL GIVE BRAINLIEST TO THE FASTEST AND MOST ACCURATE

Answers

Answer: What is the question? You have not posted a inquiry...

Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles. What is the total running distance of the four runners?

Answers

26.563 miles is the total running distance.

The total miles run by four runners is 26.563 miles.

What are some alternative names for arithmetic operations?

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.

Therefore, The total number of miles for the dour runners is the sum of the individual miles run by each player which is,

= (5.123 + 6.34 + 7.1 + 8) miles.

= 26.563 miles.

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Will mark the brainliest
Please answer this im desperate :(((

Answers

Answer:

Last option

Step-by-step explanation:

I think it would be the last option because when you reflect over the x-axis, the x-axis switched signs.

So, -8 would be 8 , -7 would be 7, and 3 would be negative 3.

Dont think the y-axis value would change..

Hope this helps!

(If this was good..please give brainly.)

Answer:

Option C

Step-by-step explanation:

They are the same coordinates but exchanged/reflected places

please gimme brainiest ;(

A teacher's salary is modeled by the equation
an = 48,000(1.0325)t-1 where t represents years of
experience. How much should this teacher expect to pay in their
5th year of teaching?
A. $54,550.84
B. $56,323.75
Och$58,154.27
D. $52,833.75

Answers

Answer:

A. $54,550.84

Step-by-step explanation:

48,000(1.0325)^4

48,000(1.136475928)

54,550.84455

Mr. Monasterio ran to The Burrito Barn at 10mph. He ate too many burritos and slowed to 6 mph on the way home. Find the time going to The Burrito Barn if the time coming back took 2 hours more than the time going. Don't forget to include units. PLS HELP RIGHT NOW

Answers

Answer:

1 h with 20 min

Step-by-step explanation:

10-6 = 100-60

= 40, in percentages is 40%, 40% minus of 2 h is...

if 50% minus is 1 h, 40% is 1 h with 20 min or simply...

120 min - 40% = 120 - 40

120 - 40 = 80, 80 min are 1 h and 20 min

Hope this helps

n the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 5.8 inches. A) What is the probability that a randomly chosen child has a height of less than 46.3 inches

Answers

Answer:

The probability is 0.0643 to 4 decimal places

Step-by-step explanation:

To calculate this probability, we find the z-score

Mathematically;

z-score = (x-mean)/SD

where in the question;

x = 46.3

mean = 55.1

SD = 5.8

Plugging these values, we have;

z-score = (46.3-55.1)/5.8 = -8.8/5.8 = -1.52

The probability we want to calculate is;

P(z < -1.52)

We can get this answer by using the standard normal distribution table;

Thus from the table, we have;

P(z < -1.52) = 0.064255 which is 0.0643 to 4 decimal places

Ron made a mistake casting a spell, and 25 frogs start to appear each second in the classroom. After 10 seconds, Hermione cast another spell, and 35 frogs start to disappear as 25 frogs appear each second. For how many seconds was there at least one frog in the classroom?

Answers

bhai ap apne ap kar lo ye question

Assume the random variable X is normally distributed with mean and standard deviation . Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. ​P(X​)

Answers

Answer:

The answer is attached for better presentation of formulas.

Step-by-step explanation:

The areas under the normal curve between any two ordinates at X=a and X=b equals the probability that the r.v X lies in the interval [a,b]. that is  P (a ≤ X ≤ b) = ∫_a^b▒1/(σ√2π) e^((-(x-u))/(2σ^2))  dx

which is represented by the area of the shaded region. (figure1)

But integrals of this type cannot be solved by ordinary means. They are however evaluated by the methods of numerical integration, and numerical approximations for some function have been tabulated for quick reference.

The table of areas under the unit normal curve gives the areas (probabilities) for the standard normal distribution from the mean, z=0 to a specified value of z say z0. Since normal curves are symmetrical therefore P (0 to z) = P (0 to –z). That is why the areas for negative values of z are not tabulated. Hence to use the table of areas for the normal distribution, the values of the r.v X in any problem are changed to the values of the standard normal variable Z and the desired probabilities are obtained from the table.

Thus to find P (a <X<b) we would change X into Z as follows

P (a <X<b) = P ((a-u)/σ ≤ (X-u)/σ  ≤  (b-u)/σ )

= P ((a-u)/σ ≤ Z ≤  (b-u)/σ )

Where (a-u)/σ and    (b-u)/σ  are the z- values of the standard normal variable Z.

In practice, a normal curve sketch for the given problem, showing under the X scale, a scale for the corresponding values of z will help in solving problem.  (Figure 2)

Help me please I really need help!!!!!!

Answers

Answer:

the tax on a $90,000 salary is: $5175

Step-by-step explanation:

Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "17,001 and up". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.

Recall that 5.75% in math terms is: 5.75/100 = 0.0575

Then the 5.75% of $90,000 is mathematically calculated as the product :

0.0575 x 90,000 = 5175

Therefore the tax on a $90,000 salary is: $5175

Find a vector 6 unit long in the direction of A = 2i + 2j – 1k​

Answers

Answer:

B=4i+4j-2k

Step-by-step explanation:

Lets find the length of vector A

IAI= sqrt(2²+2²+1²)=sqrt(9)=3

So B=2*A  = 2(2i+2j-1k)=4i+4j-2k

The Sorry State Lottery requires you to select five different numbers from 0 through 42. (Order is not important.) You are a Big Winner if the five numbers you select agree with those in the drawing, and you are a Small-Fry Winner if four of your five numbers agree with those in the drawing. (Enter your answers as exact answers.) What is the probability of being a Big Winner?

Answers

Answer:

1 / 962598

Step-by-step explanation:

Let S be the sample space

total number of possible outcomes = n(S)

Let E be the event

total number of favorable outcomes = n(E)

Compute the number of ways to select 5 numbers from 0 through 42:

Total numbers to choose from = 43

So

Total number of ways to select 5 numbers from 43

= n(S) = 43C5                                                                        

= 43! / 5! ( 43-5)!                                                                      

=  43! / 5! 38!                                                                      

= 43*42*41*40*39*38! / (5*4*3*2*1)*38!

= 115511760/120

n(S) = 962598

Hence there are 962598 ways to select 5 numbers from 43

Compute the probability of being a Big Winner

In order to be a Big  Winner all 5 of the 5 winning balls are to be chosen and there is only one way you can for this event to occur. So

n(E) = 1

Here E is to be a Big Winner

So probability of being a Big Winner = P(E)

= n(E) / n(S)

= 1 / 962598

Hence

P(being a Big Winner) = P(E) = 1 / 962598

For a confidence level of 98% with a sample size of 30, find the critical t value.

Answers

The critical t-value for a confidence level of 98% with a sample size of 30 is approximately 2.756.

To find the critical t-value for a confidence level of 98% with a sample size of 30, we'll use the t-distribution table or a statistical calculator. Here's how you can calculate it:

Determine the degrees of freedom (df) for the t-distribution. For a sample size of 30, the degrees of freedom will be df = n - 1 = 30 - 1 = 29.

Look up the critical t-value in the t-distribution table using the desired confidence level and the degrees of freedom. In this case, for a 98% confidence level, we're interested in the critical value that leaves 1% in the tails of the t-distribution. Since the distribution is symmetric, we divide the 1% by 2 to get 0.5% for each tail.

Locate the row in the t-distribution table corresponding to the degrees of freedom (29 in this case). Then, look for the column that corresponds to the desired significance level (0.005 or 0.5% in this case).

Using a statistical calculator or t-distribution table, we find that the critical t-value for a 98% confidence level and 29 degrees of freedom is approximately 2.756.

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The critical t-value for a confidence level of 98% is 2.756.

Given data:

To find the critical t-value for a confidence level of 98% with a sample size of 30,  use a t-distribution table or a calculator.

Since the sample size is small (less than 30) and the population standard deviation is unknown, we use the t-distribution instead of the standard normal distribution.

The critical t-value is determined based on the confidence level and the degrees of freedom (df), which is equal to the sample size minus 1.

For a 98% confidence level, the corresponding significance level (α) is 1 - 0.98 = 0.02. Since it's a two-tailed test, divide this significance level by 2 to find the area in each tail: 0.02 / 2 = 0.01.

With a sample size of 30, the degrees of freedom is 30 - 1 = 29.

Using a t-distribution table or a calculator, we find the critical t-value with a cumulative probability of 0.01 (in each tail) and 29 degrees of freedom.

The critical t-value for a confidence level of 98% with a sample size of 30 is approximately ±2.756.

Hence, the critical t-value is 2.756.

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PLEASE HELP!!!!!!!!!!

Answers

Answer:

11446

Step-by-step explanation:

= [(12*9) - 1 ]^2-3

=[108-1]^2-3

=107^2-3

=11449-3

=11446.

Solve the equation using the quadratic formula. Please help !

Answers

Answer:

decimal

x = 5.284 or 0.284

fraction

x = (21.136) / 4 or (1.136) / 4

Step-by-step explanation:

2x² - 10x - 3 = 0

x = [-b ± √b² - 4(a)(c)] / 2(a)

x = {-(-10) ± √[(-10)² - 4(2)(-3)]} / 2(2)

x = [10 ± √(100  + 24)] / 4

x = (10 ± √124) / 4

x = (10 ± 11.136) / 4

x = (21.136) / 4 or (1.136) / 4

x = 5.284 or 0.284

HELP ASAP ROCKY!!! will get branliest.​

Answers

ASAP Rocky, love that rapper. 3(2x+8)=0

. 6x + 24 = 0, subtract 24 from both sides— 6x = -24. divide 6 from both sides— x=-4

James walks two miles from her door to the park, then returns home to her door.

Answers

Incomplete question ;0;

Find 8 + 35 + (- 56).

Answers

Answer: -13

Step by step:
8 + 35 +(- 56)
43 - 56
-13

Hope this helps! Please tell me if I did anything wrong, thank you and have a great day :)

For what value of a is the equation: (x + 7)2 = (x − 7)2 + ax an identity? (An identity is an equation in which any number is solution. For example, x + 3 = 3 + x is an identity.)

Answers

Answer:

Step-by-step explanation:

Hello, we need first to develop and then identify the like terms.

[tex](x + 7)^2 = (x-7)^2 + ax\\\\(x+7)^2-(x-7)^2=ax\\\\(x+7-x+7)(x+7+x-7)=ax\\\\14*2x=ax\\\\28x=ax[/tex]

So a = 28.

Thank you

what is 82 degrees below 0

Answers

Answer:

-82°

Step-by-step explanation:

If we go 82° below 0, that means that instead of increasing by 82, we are decreasing by 82.

If we decrease to a number below 0, it becomes a negative number.

For example: If we decrease 10° from 0, we'd be at -10°.

Likewise, if we decrease 2° from 0, we'd be at -2°.

Following this pattern, if we decrease 82° from 0, we'd be at -82°.

Hope this helped!

The projected worth (in millions of dollars) of a large company is modeled by the equation w=
256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?

Answers

Complete Question

The projected worth (in millions of dollars) of a large company is modeled by the equation w =256(1.09)^t .

The variable t represents the number of years since 2000. What is the projected annual

percent of growth, and what should the company be worth in 2008?

Answer:

a) The projected annual percent growth = 9%

b) The company's worth in 2008 = 510.09603627(in million dollars) or $510,096,036.27

Step-by-step explanation:

a) The projected annual percent growth

From the formula of company's worth =

w = 256(1.09)^t

1.09 - 1 = 0.09

Converting decimal to percentage

= 0.09 × 100

= 9%

b) The projected worth of the company is represented as:

w= 256(1.09)^t

t = 2000 - 2008 = 8 years

w = 256(1.09)^8

w = 510.09603627(in million dollars)

or 510.09603627 × 1,000,000

= $510,096,036.27

find the measure of angle N in the parallelogram. Round your answer to the nearest degree​

Answers

In a parallelogram opposite angles are identical so K and M are the same. Solve for K first:

6x +3 = -9 + 7x

Add 9 to both sides:

6x + 12 = 7x

Subtract 6x from both sides:

X = 12

K = 6(12) + 3 =72 +3 = 75

Now K + N = 180

N = 180 - 75 = 105

N = 105

Answer:

ANGLE N = 105°

Step-by-step explanation:

The opposite angles of a parallelogram are equal

Therefore,

-9+7x = 6x+3

Bringing variables to one side

7x-6x = 3+9

x= 12

Since , x = 12

So , Angle K = 6x+3= 6(12)+3

= 72+3

=75

In a parallelogram , adjacent angles are supplementary

i.e, Angle K +Angle N = 180°

75 + Angle N = 180°

Angle N = 180 -75

= 105 °

Need help and show work plz

Answers

Answer:

[tex]\frac{1716}{132600}[/tex]

Step-by-step explanation:

Assuming they removed the jokers there are 52 cards in a deck and 13 hearts

You can calculate the odds of something by multiplying the odds together, because you don't put back the card you drew you have to subtract 1 from both the numerator and denominator

[tex](\frac{13}{52})(\frac{12}{51})(\frac{11}{50})=\frac{1716}{132600}[/tex]

Therefore the probability of pulling 3 cards that are all hearts are [tex]\frac{1716}{132600}[/tex]

yo someone quickly help me with this?

Answers

select the 6th and 7th one

In a physics class, the teacher proposes that the velocity of a car in miles per hour and the stopping distance in feet are represented by inverse functions. Assuming this is true, which graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses?

Answers

Answer:

the answer is b

Step-by-step explanation:

2nd graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses.

The answer is option B.

Which statement verifies that f(x) and g(x) are inverses of each other?

The test to verify if a function f is the inverse of another function g is given by using the composition of the functions such as this, f(g(x))= x. Therefore, to answer your question, f(g(x))=x is saying f is the inverse of g. f(g(x))=x is saying f is the inverse of g but g is not the inverse of f, g(f(x))≠x.

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Find the absolute value. |-6| |-6|=

Answers

Answer:

0

Step-by-step explanation:

6-6 equals 0

Answer:

Step-by-step explanation:

The absolute value of  |-6| is 6

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