Here are two steps from the derivation of the quadratic formula.

What took place between the first step and the second step?

Here Are Two Steps From The Derivation Of The Quadratic Formula.What Took Place Between The First Step

Answers

Answer 1

Answer:

Factoring a perfect square trinomial.

Step-by-step explanation:

The left side was able to be simplified via factoring.


Related Questions

What is 2225 rounded to the nearest thousand? Hurry please

Answers

Answer:

2000

Step-by-step explanation:

2225 to the nearest 100 is 2300 but 3

<5 so it is 2000

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 9. Find the probability that a person will wait for more than 9 minutes.

Answers

Answer:

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean waiting time is 6 minutes and the variance of the waiting time is 9.

This means that [tex]\mu = 6, \sigma = \sqrt{9} = 3[/tex]

Find the probability that a person will wait for more than 9 minutes.

This is 1 subtracted by the p-value of Z when X = 9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{9 - 6}{3}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

Think of 5 positive integers that have a mean, median, mode, and range of 6.

Answers

3,6,6,6,9
To have a mode of 6 there has to be more 6’s than any number
To have a median of 6 it has to be in the center of a list of integers listed from smallest to largest
To have a range of 6 the largest integer subtracted by the smallest should equal 6
To have a mean of 6 there must be 5 numbers that add up to 30

Solve by graphing. Round each answer to the nearest tenth.

6x2 = −19x − 15
a: −2, 1.7
b: −1.7, −1.5
c: −1.5, 1.5
d: −1.5, 1.7

Answers

9514 1404 393

Answer:

  b:  -1.7, -1.5

Step-by-step explanation:

The graph is shown below. We have annotated the x-intercepts for the equivalent equation ...

  6x^2 +19x +15 = 0

An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 11 students who took the course last semester follow:

# of observation(s) n = 30
# of independent variable(s) = 1
SSR = 1,297 SSE= 920

Required:
Find the F test statistic.

Answers

Answer:

[tex]F = 39.47[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- observations

[tex]p = 1[/tex] -- variables

[tex]SSR = 1,297[/tex]

[tex]SSE= 920[/tex]

Required

The F statistic

This is calculated using:

[tex]F = \frac{SSR}{p} \div \frac{SSE}{n - p -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{30 - 1 -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{28}[/tex]

[tex]F = 1297 \div \frac{920}{28}[/tex]

Rewrite as:

[tex]F = 1297 * \frac{28}{920}[/tex]

[tex]F = \frac{1297 *28}{920}[/tex]

[tex]F = \frac{36316}{920}[/tex]

[tex]F = 39.47[/tex]

Claim: Fewer than 94​% of adults have a cell phone. In a reputable poll of 1004 ​adults, 86​% said that they have a cell phone. Find the value of the test statistic.

Answers

Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

, where p= population proportion

n= sample size

[tex]\hat{p}[/tex] = sample proportion

AS per given,

p=0.94, n= 1004, [tex]\hat{p}=0.86[/tex]

[tex]z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67[/tex]

i.e. the value of test statistic = -10.67

Solve the system of equations using the elimination method. 5x + 10y = 3 10x + 20y = 8

Answers

Answer:

Can not be solved

Step-by-step explanation:

5x+10y = 3............. Equation 1

10x+20y = 8 ............ Equation 2

From the equation above,

both equations can not be solved by elimination method, because both variables will be eliminated

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

Answers

Answer:

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be: H 0 : μ M = μ F H 1 : μ M < μ F H 0 : μ M = μ F H 1 : μ M > μ F H 0 : p M = p F H 1 : p M ≠ p F H 0 : p M = p F H 1 : p M < p F H 0 : p M = p F H 1 : p M > p F H 0 : μ M = μ F H 1 : μ M ≠ μ F

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 40 men, 25%Based on a sample of 40 men, 25% owned cats

Based on a sample of 40 women, 40% owned cats

The test statistic is:

The p-value is:

Based on this we:

Reject the null hypothesis

Fail to reject the null hypothesis

Allen is looking through his weekly local grocery store newspaper ads he notices that Costco is advertising a pack of 60 eggs for $9.35 Safeway is advertising a dozen eggs for $4.79 and Trader Joe's is advertising a pack of 18 eggs for $6.18 which store is offering the better deal?​

Answers

Answer:

Costco

Step-by-step explanation:

We find the cost per egg for each of the three stores.

Costco:

$9.35/(60 eggs) = $0.15583/egg

Safeway:

$4.79/(12 eggs) = $0.39917/egg

Trader Joe's:

$6.18/(18 eggs) = $0.34333/egg

The best deal is Costco.

Answer:

Costco

Step-by-step explanation:

[tex]\frac{60}{9.35}: \frac{1}{y}[/tex]

60 × y = 1 × 9.35

60y = 9.35

60y ÷ 60 = 9.35 ÷ 60

[tex]y=\frac{187}{1200}[/tex]

[tex]\frac{12}{4.79}: \frac{1}{y}[/tex]

12 × y = 1 × 4.79

12y = 4.79

12y ÷ 12 = 4.79 ÷ 12

[tex]y=\frac{479}{1200}[/tex]

[tex]\frac{18}{6.18}: \frac{1}{y}[/tex]

18 × y = 1 × 6.18

18y = 6.18

18y ÷ 18 = 6.18 ÷ 18

[tex]y=\frac{103}{300}=\frac{412}{1200}[/tex]

If the bearing of P and
Q is
145°. What is the bearing of
Q from P?

Answers

9514 1404 393

Answer:

  325°

Step-by-step explanation:

The bearing in the reverse direction is 180° more (or less) than the bearing in the forward direction.

  145° +180° = 325°

The bearing of Q from P is 325°.

Answer:

If the bearing of P and

Q is 145°

Soo,

the bearing of Q from P is 145+180=325°

Because it is reserve in the forward direction

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Please help !!!! will mark brainliest !!

Answers

Answer:

the first one

Step-by-step explanation:

Hi, Friends,
please help me solve this problem.

Q. terms of a geometric sequence are found by the formula Tn = ar n-1 If a = 3 and r = 2 , find the 4 terms of the sequence.

Answers

9514 1404 393

Answer:

  3, 6, 12, 24

Step-by-step explanation:

It helps if the formula is properly written.

  Tn = a·r^(n-1)

Fill in the given values for a, r, and use n = 1 to 4.

  T1 = 3·2^(1-1) = 3

  T2 = 3·2^(2-1) = 6

  T3 = 3·2^(3 -1) = 12

  T4 = 3·2^(4 -1) = 24

__

Additional comment

The value a=3 tells you the first term is 3. The value r=2 tells you each term is 2 times the previous one. Knowing this, you can write down the sequence based on your knowledge of multiplication tables (×2). You can use the formula as we did above, but it isn't necessary.

  3, 6, 12, 24, ...

Is [0,2) is compact in R?

Answers

Answer:

no it is not compact in R

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.8. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?

Answers

Answer:

The people dies in 2004 by aids are 413042853.4

Step-by-step explanation:

growth factor = 1.8

People died in 1983 = 1800

Let the people dies in 2004 is P.

Time, t = 2004 - 1983 = 21

So,

[tex]P = 1800 \times (1.8)^{21}\\\\P = 413042853.4[/tex]

The slope of diagonal OA IS__,
and its equation is__

Answers

Answer:

[tex](a)\ m = \frac{4}{3}[/tex] --- slope of OA

[tex](b)\ y = \frac{4}{3}x[/tex] --- the equation

Step-by-step explanation:

Given

The attached graph

Solving (a): Slope of OA

First, we identify two points on OA

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (3,4)[/tex]

So, the slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{4-0}{3-0}[/tex]

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

Solving (b): The equation

This is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Recall that:

[tex](x_1,y_1) = (0,0)[/tex]

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

So, we have:

[tex]y = \frac{4}{3}(x - 0) + 0[/tex]

[tex]y = \frac{4}{3}(x)[/tex]

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

During three consecutive years, an employers salary is increased by 15%. If after three years his salary is 45,400, what was his salary before the raises?

Answers

Answer:

$29,851.24

Step-by-step explanation:

The salary started as x.

Each year it was increased 15%.

A full amount is 100% of the amount. When you add 15% to the amount, you now have 115% of the amount.

115% as a decimal is 1.15; that means that to increase an amount by 15%, multiply the amount by 1.15

For example, let's say you want to know what is a 15% increase on 100. Start with 100. 15% of 100 is 15, so if you add 15% to 100 you expect to get 115.

Now multiply 1.15 by 100. You also get 115 showing you that multiplying a number by 1.15 is the same as adding 15%.

Now let's get back to our problem.

The salary started as x.

Each year, the increase in salary was 15% of the previous salary.

After 1 year the salary is 1.15x.

After 2 years, the salary is 1.15(1.15x).

After 3 years, the salary is 1.15(1.15(1.15x)) = (1.15^3)x

We are told that the salary became $45,400 after the three 15% increases, so

(1.15)^3 * x = 45,400

Multiply out 1.15^3 as 1/15 * 1.15 * 1.15 = 1.520875

1.520875x = 45,400

Divide both sides by 1.520875.

x = 45,400/1.520875

x = 29,851.24

Answer: $29,851.24


What is the domain of the function f(x) =x+1/
X^2-6x+8?

Answers

Answer:

The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \frac{x+1}{x^2-6x+8}[/tex]

It's a fraction, so the domain is all the real values except those in which the denominator is 0.

Denominator:

Quadratic equation with [tex]a = 1, b = -6, c = 8[/tex]

Using bhaskara, the denominator is 0 for these following values of x:

[tex]\Delta = (-6)^2 - 4(1)(8) = 36-32 = 4[/tex]

[tex]x_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]

[tex]x_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]

The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]

Which equation can be simplified to find the inverse of

Answers

Answer:

x=y²-7

hope it helps.

stay safe healthy and happy...

Divide the following quantities in the following ratios £100 1:3

Answers

The answer is 25:75….

Is 237405 divisible by 11 Correct Answer = Brainliest ​

Answers

Answer:

Yes.

Step-by-step explanation:

.

I’ll mark u plz help

Answers

Answer:

D is the answer

Step-by-step explanation:

all sides and angles are equal

hope it helps!! let me know if it does

the perimeter of a rectangle parking lot is 322M if the width of the parking lot is 74M what is its length

Answers

Step-by-step explanation:

Perimeter of rectangle = 2( l+b)

Ie, P = 2( L+B )

In substituting,

322 = 2( L + 74)

Ie, 322 = 2L + 148

Re - arrange

Hence,

2L = 322 - 148

2L = 174

Thus, L = 174/2

L = 87M

An angle with measure of 71° is bisect at what angle?​

Answers

Answer:

A

Step-by-step explanation: just divide 71 into 2 which gives you 35.5 making a your answer.

If the angles (4x + 4)° and (6x – 4)° are the supplementary angles, find the value of x.

Answers

Answer:

18

Step-by-step explanation:

Supplementary angles means sum of angles is 180.

4x + 4 + 6x - 4 = 180

4x + 6x + 4 - 4 = 180

10x = 180

x = 180 / 10

x = 18

Answer:

x=18 degree

Step-by-step explanation:

If they are supplementary angles, then their sum = 180 degree

4x+4 + 6x-4 =180

4x+6x + 4-4 = 180

10x = 180

x=180/10

x=18

8-6•4+10divided by 2 =

Answers

The answer should be -26
=8-6×4+10÷2=2×4+10÷2=8+10÷2=18÷2= 9 The answer is 9

SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population consists of two members. Find the population size after seven days. (Round your answer to the nearest whole number.) P(7)

Answers

Answer:

A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.

Step-by-step explanation:

The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.

Answers

9514 1404 393

Answer:

(x -3) +(x -1) +(x +1) +(x +3) = -72-21, -19, -17, -15

Step-by-step explanation:

Let x represent the even integer between the middle two odd integers. Then the sum of the four odd integers is ...

  (x -3) +(x -1) +(x +1) +(x +3) = -72

  4x = -72

  x = -18

The four integers are -21, -19, -17, -15.

_____

Additional comment

You could let x represent one of the integers. Often, people choose to let it represent the least of them. Then the equation becomes x +(x+2) +(x+4) +(x+6) = -72, so 4x = -84 and x = -21. This introduces a "subtract 12" step in the solution process that is unnecessary if x is chosen to be the average of the integers.

As the average, x is the sum divided by the number of them, so you know x=-72/4 = -18 immediately. Then you just have to find the nearest two odd integers below and above -18. You can do the whole problem mentally.

PLEASE HELP I WILL MARK YOUR ANSWER AS BRAINLIEST PLEASE BE CORRECT BEFORE ANSWERING

LOOK AT THE BOTTOM

Answers

9514 1404 393

Answer:

  y = 2

Step-by-step explanation:

The figure must be flipped top-to-bottom, so the line of reflection must be a horizontal line. Point B must be reflected to itself, so it is on the line of reflection. That means the line of reflection is y = 2.

__

You can draw the line of reflection using any two points that have y-coordinates of 2, for example, (0, 2) and (2, 2).

Geometry please someone help i cant fail this class

Answers

X=40
X=23
X=28
Y=64
First one are corresponding angles
Second, subtract 180-75=105 and solve
Third, hard to explain sport but sure it’s correct

Norm has $15,000 to deposit. His daughter is a junior in high school and plans to go to college. Recommend the best way for Norm to store his money. Note that the interest rates are expressed on an annual basis.
a.
A four-year CD paying 4.8% interest, with a substantial penalty for early withdrawal
b.
An online savings account offering 2.3% interest
c.
A money market account paying 3.5% interest, renewable for three-month commitments
d.
A checking account with no monthly fees

Answers

Answer:

A money market account paying 3.5% interest, renewable for three-month commitments.

The best way for Norm to store his money is through C. A money market account paying 3.5% interest, renewable for three-month commitments. Even though a four-year CD offers a higher interest at 4.8%, the fact that there is a substantial penalty for early withdrawal is a negative factor for Norm. His daughter needs the money after 2 years since she is already a junior in high school.

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