Determine between which consecutive integers the real zeros of f(x)=x²-4x-2 are located.
a. between 3&4 and -1&0
c. between 4&5 and -1&0
between 3&4 and 0&1
b. between 4&5 and 0&1
d.
Please select the best answer from the choices provided

Average one hour 45 minutes time is taken to read A Chirstmas Carol Novel.

There is total five chapters in this novel. In the ed of of beginning, Scrooge has completely transformed into a charitable, altruistic man. A chirstmas Carol is at a time when the British were investigating and reassessing past Christmas

traditions and place is Washington.

The average reader will spend 1 hour 4 minutes reading this book at 250 WPM (words per minute). A Christmas Carol is set in London during the Victorian era. The events of the story take place on Christmas Eve at Ebenezer's Scrooge home, where various events are shown by three visiting spirits. Charles Dickens wrote A Christmas Carol at a time when he was very critical of his writing and the world around him.

Dickens wrote A Christmas Carol at a time when the British were investigating and reassessing past Christmas traditions, including carols, and more recent practices such as Christmas cards and Christmas trees. He was influenced by his own adolescent experiences and by other writers' Christmas stories, such as Washington in his Irving and Douglas in his Jerold.

The book is divided into his five chapters, which Dickens entitled "Staves".

By the end of the novel, Scrooge has completely transformed into a charitable, altruistic man, rather than a misanthrope. This concept becomes apparent when you say, "I'm light as a feather, happy as an angel, and so baby." Scrooge changed his attitude and behavior.

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After evaluating f(x) = 3x - 5, the answer is f(x-2) = 3x - 11

What do you mean by functions?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). Expressions of well-known functions can be found in many frequently used mathematical formulas. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The set X is called the domain of the function and the set Y is called the codomain of the function.

Given function:

f(x) = 3x - 5

For f(x-2) substitute x as (x-2) in given function

f(x-2) = 3(x - 2) - 5 = 3x - 6 - 5 = 3x - 11

therefore, f(x-2) = 3x - 11

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The number of ways that Brad can pick groups of four is 715 ways.

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula is given as:

= n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

Based on the information, Brad has a list of thirteen such people and would like to propose some documentaries about four of them. This will be:

n! / ((n – r)! r!)

= 13! / (13 - 4)!4!

= 13! / 9!4!

= 13 × 12 × 11 × 10 / 4 × 3 × 2

= 715

There'll be 715 ways.

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Answer:

<HAB = 48° and <CAB = 72°

Step-by-step explanation:

Looking at the graph these two angles (<FAD = 20° and <DAH = ?) are complementary which means those two angles add up to 90°

Solve for <DAH.

<FAD = 20° + <DAH = ? = 90

Subtract <FAD = 20° to both sides leaving <DAH = ?

<DAH = 70°

Now that we have that angle we can solve for measured angles <HAB and <CAB. These three angles add up to 180°

<DAH + <HAB + <CAB = 180

Plug in our variables.

70° + 2x + 3x = 180°

Solve our x.

(2x + 3x) = 180° - 70°

5x = 120°

x = 24°

Now substitute x into the x to have our measured angle <HAB and <CAB.

<HAB = 2x = 2*24° = 48°

<HAB = 48°

<CAB = 3x = 3*24 = 72°

<CAB = 72°

The probability that the sum of the numbers rolled is either even or a multiple of 5 is 61.11%.

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

Probability = Number of outcomes / Total number of outcomes

The total number of outcomes = 36

The number of outcomes whose sum is either even or a multiple of 5 = 22

The number of outcomes whose sum is either a multiple of 3 or 4 = 20

Now, the probability that the sum of the numbers rolled is either even or a multiple of 5 is,

Probability

= number of outcomes whose sum is either even or a multiple of 5 / total number of outcomes

= 22 / 36

= 11 / 18

= 0.61111

= 61.11%

Further, the probability that the sum of the numbers rolled is either a multiple of 3 or 4 is,

Probability

= number of outcomes whose sum of the numbers rolled is either a multiple of 3 or 4 / total number of outcomes

= 20 / 36

= 5/9

= 0.5555

= 55.55%

Hence, The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 55.55%.

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The solutions of the systems of equations are x = 3 and y =  − 4.

The substitution technique is a quick and easy way to algebraically solve a set of linear equations and determine the variables' solutions.

This method entails determining the value of the x-variable in terms of the y-variable from the first equation and then replacing the value of the x-variable in the second equation.

Here we have

−7x − 2y = −13 ----- (1)

   x − 2y = 11 ----- (2)

Do (2) - (1)

=> −7x − 2y − (x − 2y)  = −13 − 11

=> −7x − 2y − x + 2y = − 24

=>  −8x =  − 24  

=>   8x = 24

=>   x = 3

Now substitute x = 3 in (2)

=>   3 − 2y = 11  

=>  − 2y = 8

=>  y = − 4

Therefore,

The solutions of the systems of equations are x = 3 and y =  − 4.

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Answer:

The steps are listed below.

Answer: Answer would be -65

It should be that?

Answer:

below!

Step-by-step explanation:

reasons for each of the statements.

1. this is given information so there is nothing to prove here.

2. this is also given information, nothing to prove here.

3. this is also given information, nothing to prove here.

4. This is just because they are both 2 parts of the big segment (not sure what exactly is the reason your question is looking for but it something along these lines should be in your dropdown menu).

5. same as 4

6. since QR is equal to TU you can substitute TU with QR. QT stays the same.

7. Since we can see based on 5 and 6 that they have the same values by the same equations.

8. SAA

9. CPCTC

Hope this was helpful! :)

We need to prove triangles are PQU and SRT are congruent and we can see they have two angles marked as congruent and the included sides partially marked as equal and include the common segment.

We'll first prove the sides RT and QU are congruent, then prove the triangles are congruent. It will then give us the corresponding sides' congruence.

Missing reasons:

The first 3 statements reflect the given fact.

The next 2 statements reflect segment addition postulate.

After substitution of equal segments we prove that partially overlapping sides are congruent. Then it gives us the missing bit to prove the congruence of triangles.

Corresponding Parts of Congruent Triangles are Congruent.

The account balance in her account will be $9675.30 after 12 years.

What is compound interest?

The interest earned on savings that is computed using both the original principal and the interest accrued over time is known as compound interest.

The formula of semi annual compound interest is

A = P [ 1 + r/n]^{nt}

P = principal

n =  number of period

t = time

r =  Rate of interest.

Given that Sandra open a bank account with $3000.

The semi annually compound interest is 10%.

She deposits it for 12 years.

Here P = 3000, n = 2, t = 12, r = 10% = 0.1

A = 3000 [ 1 + 0.1/2]^{24}

A = 9675.30

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The solution of the logarithm equation are as follows:

a. l = 100000

b. l = 1000000

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

Let's solve the logarithm equation as follows:

a.

50  = 10 log₁₀ l

Using logarithm law,

50  = 10 log₁₀ l

50  = log₁₀ l¹⁰

10⁵⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

Hence,

l = 10⁵

Hence, the value of  l = 100000

b.

60 = 10 log₁₀ I

Using logarithm rule,

60 = 10 log₁₀ I

60 = log₁₀ l¹⁰

10⁶⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

l = 10⁶

Hence, the value of  l = 1000000

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Answer:

So a circle with diameter 17 m has a circumference of 53.4 m

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

The coordinate of T ' will be;

⇒ T ' = (- 31, - 23)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

This is a Dilation with a scale factor of 4 (D4).

Now,

Since, The Center of Dilation of this transformation is at the center. But the transformation is given by a scale factor of 4 and adding to (-3,1) as;

⇒ T ' = 4 (- 7, - 6) + (-3, 1)

        = (- 28, - 24) + (-3, 1)

        = (- 31, - 23)

Thus, The coordinate of T ' = (- 31, - 23)

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Answer:

y = -  [tex]\frac{1}{4}[/tex] x - 1

Step-by-step explanation:

y = mx + b  

Slope:

The m is the slope in the equation.  Look at the two points given.  If you start at the point on the left, you go down 1 and 4 to the right.  1/4

Y-intercept:

The y intercept is the b.  It is where the line crosses the y axis.  It crosses at -1

Answer:

----------------------------------------

Slope- intercept form:

Use two points on the graph:

The first point is a y-intercept, b = - 1

Find the slope:

The line is:

At tα/2= -1.66, we reject H0.

What is the Null hypothesis?

The null hypothesis is a standard statistical theory that contends there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.

Data provided

sample size is 100, and

sample mean, 52.0 for x

The standard deviation of the sample, s= 22.0

Average population, = 60.0

Level of significance, = 0.05

Theorem testing

The alternate and the null hypothesis is

H0: u = 60

Ha: u < 60

Crucial component:

value crucial at 0.05

tα/2= -1.66

Region of rejection:

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(a) 15⁶ many distinct pizza varieties are there.

(b) Given that we are heat-sensitive and that there can be no more than three types of jalapeno, 8108520 many different sorts of pizza are possible.

Given that,

A brand-new pizza restaurant offers 15 topping choices and consistent cost, allowing customers to select any six of them. For instance, a customer can choose 4 mushrooms and 2 olives if they just want mushrooms and olives on their pizza.

We have to find

a) How many distinct pizza varieties are there.

b) Given that we are heat-sensitive and that there can be no more than three types of jalapeno, how many different sorts of pizza are possible.

We know that,

(a) we have 6 places to fill form 15 options.

So, each place has 15 choice

Type of pizza possible=15⁶.

(b) No jalapeno used = 14⁶

1 jalapeno used = 14⁵

2 jalapeno used = 14⁴

3 jalapeno used = 14³

Total pizza = 14³+14⁴+14⁵+14⁶

Total pizza = 14³(1+14+14²+14³)

Total pizza = 8108520

Therefore,

(a) 15⁶ many distinct pizza varieties are there.

(b) Given that we are heat-sensitive and that there can be no more than three types of jalapeno, 8108520 many different sorts of pizza are possible.

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Answer:

24

Step-by-step explanation:

4+5+6+4+5=24

simple

no big deal

Answer:

1/6 r-1

Step-by-Step Explanation:

1/6(r-6)

1/6 * (r-6) - distribute 1/6

1/6 r - 1/6 * 6 - simplify the expression

SOLUTION 1/6 r-1

By using the concept of discount, it can be calculated that
a) Original cost of earrings is $20

b) Discount = $30

c) 30% discount has been given.

What is discount?

Discount is the price that is reduced from the original price of an article to sell that article at a cheaper cost during a sale.

a) Let the original cost of earrings be $x

Rate of discount = 15%

Discount given = $ [tex]\frac{15}{100}\times x[/tex] = $[tex]\frac{3x}{20}[/tex]

By the problem,

[tex]\frac{3x}{20} = 3\\x = \frac{3 \times 20}{3}\\[/tex]

x = $20

Original cost of earrings is $20

b) Cost of mom jeans = $50

Rate of discount  = 60%

Discount = [tex]\frac{60}{100}\times 50 =[/tex] $30

c) Cost of Vintage rock t-shirt = $40

Let the percentage discount be x%

Discount = [tex]\frac{x}{100} \times 40[/tex]

By the problem,

[tex]\frac{x}{100}\times 40 = 12\\x = \frac{12 \times 100}{40}\\[/tex]

x = 30%

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The equation, in standard form, that  represents the relationship between the number of lunches, x is 5x + y = 100. Option A

An equation is a mathematical statement that illustrates the equality of two things.

The given parameters are

Amount spent = x

Amount that remains = y

Total amount spent = 100

The difference between the amount spend is 5

This implies that 5(x) + y (1) = 100

Opening the brackets to have 5x + y = 100

In this case, we conclude that the best equation  in standard form, represents the relationship between the number of lunches, x, is 5x + y = 100

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Answer:

The two sides of the triangle are the same as marked.

118+Y=180

Y=180-118=62

Y=62

X+Y+Y=180

X+2Y=180

X=180-2Y

X=180-2x62

X=56

Step-by-step explanation:

The 90 % confidence interval estimate for the population mean using the student's t-distribution is [ 87.137 , 92.863 ] .

Given :

Suppose that the times to complete an obstacle course are normally distributed with an unknown mean and standard deviation. A random sample of 33 course times is taken and gives a sample mean of 90 seconds and a sample standard deviation of 10 seconds.

a 90% confidence interval estimate for the population mean using the student's t-distribution.round the final answers to two decimal places.

Confidence interval :

CI = X ± Z * s / √n

= 90  ±  1.6449 * 10 / √33

= 90 ± 2.863

= [ 87.137 , 92.863 ]

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Full question:

is in the image uploaded.

27. 5 minutes is the amount of time I would have to wait to be able to use the merry go round

For the merry go round the wait time for 84 people is said to be 11 minutes.

If 84 persons are to wait for = 11 minutes

How many minutes would you have to wait with 210 people in line?

We would have to cross multiply

84 = 11

210 = ?

84 * ? = 11 * 210

84 ? = 2310

? = 2310 / 84

= 27.5

Hence if 210 are line, the number of minutes that I would have to wait would be 27. 5 minutes on the line before it would get to my turn.

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The wait time for two different rides at a fair are listed in the table. If there are 210 people in line for the merry-go-round, how long can you expect to wait to ride the merry-go-round?

Ride

Tilt-a-whirl

Wait Times

6 minutes for 54 people

Merry-go-round

11 minutes for 84 people in

line

Answer:

A. 2.3

Step-by-step explanation:

because it become 23/10 when you turn it into a fraction

The Formula for chain rule is dy/dx = dy/du x du/dx

The chain rule is a formula used in differential calculus to get the derivative of a composite function. According to the chain rule, if y = f(g(x)), then the instantaneous rate of change of function f with respect to g and g with respect to x leads in an immediate rate of change of f in relation to x. As a result, y' = f'(g(x)) will be supplied as the derivative of y. g'(x). One of the crucial rules in differentiation is the chain rule.

The chain rule formula is as follows for the function y = f(x), where f(x) is a composite function such that x = g(t):

Formula for chain rule

This is how the chain rule of differentiation formula is typically expressed.

dy/dx = dy/du x du/dx

Another chain rule formula looks like this:

y’ = d/dx ( f(g(x) ) = f’ (g(x)) · g’ (x).

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The equation of the line is y+1/2=3(x-2) when a line with a slope of 3 and passes through the points (2, -1/2).

Given that,

We have to find what is the equation describes a line with a slope of 3 and passes through the points (2, -1/2).

We know that,

The equation of the line is represented by (y-y₁)=m(x-x₁)

Here,

Point (2,-1/2)

Slope is 3.

Substitute in the equation,

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

(y+1/2)=3(x-2)

Therefore, The equation of the line is y+1/2=3(x-2) when a line with a slope of 3 and passes through the points (2, -1/2).

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If A is a 3x3 matrix with real entries that has complex eigenvalue -5-8i then the other eigen value is -5+8i and the other eigen vector is [tex]\left[\begin{array}{ccc}-6+5i\\-1\\-5i\end{array}\right][/tex]  .

In the question ,

it is given that ,

the eigen value of the matrix is = -5+8i .

we know that ,

if A is a matrix with real entries , then both the eigen values and eigen vectors occurs in conjugate pairs ,

the other complex eigen value is conjugate ,

that is the other eigen value is = -5+8i .

and the other eigen vector corresponding to eigen value of -5+8i is conjugate at eigen vector [tex]\left[\begin{array}{ccc}-6-5i\\-1\\5i\end{array}\right][/tex]  is [tex]\left[\begin{array}{ccc}-6+5i\\-1\\-5i\end{array}\right][/tex]  .

Therefore , the eigen value is -5+8i and the other eigen vector is [tex]\left[\begin{array}{ccc}-6+5i\\-1\\-5i\end{array}\right][/tex]  .

The given question is incomplete , the complete question is

Suppose A is a 3x3 matrix with real entries that has complex eigenvalue -5-8i with corresponding eigenvector [tex]\left[\begin{array}{ccc}-6-5i\\-1\\5i\end{array}\right][/tex] . Find another eigenvalue and eigenvector for A .

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The average customers are spending in the range of ( 196.36 , 203.64) for the given mean and standard deviation.

As given in the question,

Sample size 'n' = 50

Sample mean 'μ ' is equal to  200

Standard deviation 'σ' = 10

z-score for 99% Confidence interval = 2.576

Confidence interval = mean ± z ( σ / √n )

Substitute the values we get,

Confidence Interval = 200 ± 2.576( 10 / √50)

                                 = 200± 2.576 ( 1.414)

                                = 200 ± 3.642464

Lower bound of the required confidence interval = 200 - 3.642464

                                                                                 = 196.36

Upper bound of the required confidence interval = 200 + 3.642464

                                                                                  = 203.64

Therefore, the average customer is spending between ( 196.36 , 203.64) range from the given mean and standard deviation.

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Answer:

13/15×13/14

Step-by-step explanation:

13/15 are not independents and then 12/14 aren't independants

The two spheres aren't congruent as B. no, because they have a different radius length

If two figures have the same shape but different sizes, they are similar. In particular, similar figures' similar lengths are proportional.

In geometry, two shapes or objects are said to be congruent if they have the same dimensions, or if one is the mirror image of the other. Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments.

Note that the complete information wasn't found but the correct option is B based on searches made.

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Answer:

no, because they have a different radius length

Step-by-step explanation:

we can only assume that 12 in and 7 in are the radius or diameter of the 2 spheres.

but it seems clear that whatever these 2 numbers really mean, they are some form of size information about the spheres.

and because they are different, that means that the sizes of the 2 spheres are different.

and therefore, they are not congruent.

congruent means that both compared objects would have to have to same form/shape, angles and overall size.

in other words, they are congruent, if you could place them really "on top of each other" (like holograms), and there would be no part anywhere of one object extruding from the other.

therefore, the first answer option does not make any sense at all. if the spheres would have the same diameter length, they would be congruent.

the third answer option does not make any scientific sense. we don't need to rely on the "looks", when we have precise measurement. and they tell us, that a complete "coverage" of each other of both spheres is not possible.

the fourth answer option is also nonsense, as with different size indicators (like radius or diameter lengths) they simply cannot have the same volume.

The missing height of parallelogram is 6 units

Define Area of Parallelogram

Given,

base = 9 units

Area = 54 unit²

Now, the formula for area of parallelogram is

Area = b * h

let, h = height of parallelogram which we need to find

so, now put the values

54 = 9 * h

h = 54 / 9

h = 6 units

Hence, the missing height of parallelogram is 6 units.

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