Which of the following functions does not have
zeros at - 1 and 47.
A.f(x)=x²-3x-4
B. f(x) = 2x² + 6x - 8
C. f(x) = -x² + 3x +4
D.f(x) = 2x² - 6x-8

Answer:

2:3

2 to 3

or a fraction bar

Step-by-step explanation:

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

3 different ways you can write that ratio-

1)  4 to 3

2)  4:3

3)  4/3 (fraction)

Step-by-step explanation:

hope this helped:)

Answer:

x^2+1

Step-by-step explanation:

x^3+x^2+x+1 / x+1

=(x+1)(x^2+1) / x+1

reduce (x+1) and x+1 and you will get x^2+1

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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Answer:

D

Step-by-step explanation:

i = √-1 , as number inside a √ cannot be a negative number, i is an imaginary number

2 + √-36

= 2 + √(36×-1)

= 2 + 6i, d

Answer: 177

Step-by-step explanation:

Answer:

D. 29 I just know the awnser sorry

To find the value of f(−2), we substitute −2 for x in the function f(x):

f(−2) = 4(-2)^2 − 3(-2) + 7

= 4(4) − 3(2) + 7

= 16 − 6 + 7

= 11

Therefore, f(−2) = 11.

The height of the goal post is calculated as; 2.19 meters

The given parameters are:

Distance from football goalpost (D) = 10.05 m

Distance passed the mirror (d) = 7.1 m

Yasmin's height (h) = 1.55 m

Let H be the height of the goal post

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios; D:d = H:h

Substitute the given values to get;

10.05/7.1 = H/1.55

Multiply both sides by 1.55 to get;

H = (10.05 * 1.55)/7.1

H = 2.19 m

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Answer: x = 7, x = -15

Step-by-step explanation:

This is an absolute value equation, so it has to be simplified first

|x+4|+10=21

|x+4|=11

Then you set it equal to the two values it can be, getting rid of the absolute value sign.

x+4=11

x+4=-11

x = 7

x = -15

Voila!

Answer:x1=-15;x2=7

Step-by-step explanation:

|x+4|+10=21

|x+4|=21-10

|x+4|=11

x+4=11

x+4=-11

x=7

x+4=11

x=7

×=-15

The equation has 2 solutions

x1=-15 x2=7

Answer:

Step-by-step explanation:

Since we are not told what to find, we can as well find the time taken by the rocket to reach its maximum height as shown

The rocket reaches its maximum height when the velocity is zero

v = dh/dt

v = -32t+64

Since v = 0 at maximum height

0 = -32t+64

32t = 64

t = 64/32

t = 2secs

Hence the rocket reaches the maximum height after 2secs

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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Answer:

1: 195 divide by 3=65m/h

2: 455divide by 65=7hours

The remainder of Frank's trip is __7_____ hours.

Answer:

C)  There is a positive linear association between the math and science scores, with one of the data points being an outlier.

Step-by-step explanation:

Correlation measures how closely two variables are linked.  

If two variables are correlated, you can draw a line of best fit on the scatter plot.

From inspection of the given scatter plot:

All data points (with the exception of one) are very close to being in a straight line with a positive slope.  This is called a positive linear correlation.

As the one data point is far from the general pattern of the other points, it is an outlier.

There is a positive linear association between the math and science scores, with one of the data points being an outlier.

Answer:

x = 12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

2x + 8 = 32

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

EF = 32

Step-by-step explanation:

DE + EF = DF

5x - 9 + 2x + 10 = 78

5x + 2x + 10 - 9= 78

7x + 1 = 78

7x = 78 - 1

7x = 77

x = 77/7

x = 11

\(EF=2x+10 = 2 \times 11 + 10 \\ EF=22 + 10 \\ \huge \red { \boxed{EF=32}}\)

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

x=4 or x=-2

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

x=4 or x=-2

Answer:

The required answer is: -x^2+2x+8

Step-by-step explanation:

We have been given the two function:

f(x)=2x+1

And g(x)=x^2-7

We have to find (f-g)(x):

(f-g)(x)=f(x)-g(x)

(2x+1)-(x^2-7)

2x+1-x^2+7

-x^2+2x+8

Hence, the required answer is: -x^2+2x+8

The concept of period is associated with periodic functions, such as sine, cosine, and other trigonometric functions,

as well as certain types of periodic patterns or phenomena. In general, the period of a function is the length of one complete cycle or pattern of the function.

For example, in the case of the sine function, the period is 2π. This means that the function repeats itself every 2π units along the x-axis. To find the period of a specific function, you would typically need to analyze its mathematical expression or graphical representation.

If you provide the function or provide more details about the type of function you are referring to, I can assist you further in finding the period and explaining the steps involved.

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To find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values: P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Given that the probability that a fluorescent light has a useful life of at least 1000 hours is 0.8, we can use the binomial distribution formula to find the probabilities that among 20 such lights, a certain number will have a useful life of at least 1000 hours. The formula is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the number of lights that have a useful life of at least 1000 hours, n is the total number of lights (20 in this case), k is the number of lights with a useful life of at least 1000 hours, p is the probability that a single light has a useful life of at least 1000 hours (0.8), and (n choose k) is the binomial coefficient.

For example, to find the probability that exactly 15 lights out of 20 have a useful life of at least 1000 hours, we can plug in the values:

P(X = 15) = (20 choose 15) * 0.8^15 * 0.2^5

Using a calculator or a statistical software, we can find that this probability is approximately 0.202. Similarly, we can find the probabilities for other values of k, such as P(X = 10), P(X = 5), or P(X = 0). The probabilities will follow a binomial distribution, which is a discrete probability distribution that models the number of successes in a fixed number of trials.
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Answer:

These two warehouses will contain the same number of boxes in 51 days.

Step-by-step explanation:

Since the number of boxes in Warehouse "A" currently totaling 476 is increasing at a rate of 4 boxes per day, while the number of boxes in Warehouse "B" currently totaling 986 is decreasing at a rate of 6 boxes per day, To determine in how many days these two warehouses contain the same number of boxes, the following calculation must be performed:

Warehouse A = 476 + 4X

Warehouse B = 986 - 6X

476 + 4 x 50 = 476 + 200 = 676

986 - 6 x 50 = 986 - 300 = 686

476 + 4 x 51 = 476 + 204 = 680

986 - 6 x 51 = 986 - 306 = 680

Therefore, these two warehouses will contain the same number of boxes in 51 days.

Answer:

14

because 6(5)=30 and -2(8)=-16

30-16=14

Answer:

14

Step-by-step explanation:

All we need to do to get the value of 6a-2b is to plug in 5 for the variable "a" (replace a with 5) and plug in 8 for variable "b" (replace b with 8).

Because the variables are right next to the number, that indicates multplication, so the equation is basically saying 6*a-2*b

So let's plug in the numbers for the variables and solve:

6*5-2*8

6*5=30

2*8=16

30-16=14

So our final answer is 14

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Using Pythagoras theorem, the height is: 35.33 ft

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

Applying Pythagoras Theorem gives us the height as:

h = √(38² - 14²)

h = √(1444 - 196)

h = √1248

h = 35.33 ft

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After the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975.

Let's calculate the new value of the stock after the increase and decrease.

Starting with $1,000, a 4.5% increase in value would be calculated as (4.5/100) * 1000 = $45. This brings the value up to $1,045.

Next, a 4.5% decrease in value would be calculated as (4.5/100) * 1045 = $47.025. This amount is subtracted from the increased value of $1,045.

Subtracting $47.025 from $1,045 gives us $997.975, which is slightly less than $1,000.

Therefore, after the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975. It's important to note that this calculation assumes a simple percentage increase and decrease without considering other factors that can affect stock market fluctuations.

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Answer:

43.3 cupcakes

Step-by-step explanation:

If shamans has 3&1/3 cups of flour to make cupcakes. If she needs 1/13 cup of flour to make one cupcake how many full cupcakes can she make

From the above question

1/ 13 cup = 1 cup cake

3 1/3 cups = x

Cross Multiply

1 /13 × X = 3 1/3 × 1

x = 10/3 ÷ 1 /13

x = 10/3 × 13/1

x = 130/3

x = 43.333333333 cupcakes

A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable.

In experimental research, an independent variable is a variable that the researcher manipulates or systematically varies in order to study its effect on the dependent variable. It is called "independent" because it is not influenced by any other variables in the experiment, and its effects on the dependent variable can be observed and measured independently of any other factors.

Only when a possible design confound fluctuates systematically with the independent variable does internal validity come under threat. In other words, it might be challenging to distinguish between the effects seen on the dependent variable and the independent variable if there is a component that fluctuates consistently or predictably with changes in the independent variable. Internal validity is less likely to be threatened by random or unplanned variation.

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A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable. This means that if the confound varies randomly or haphazardly, it is less likely to affect the results of the study.

This means that the confound is consistently related to the independent variable, making it difficult to determine if the observed effects are due to the independent variable or the confound. If the confound varies spontaneously or haphazardly, it is less likely to pose a threat to internal validity, as it would not be consistently associated with the independent variable.

However, if the confound is related to the independent variable in a consistent and predictable way, it can introduce bias and undermine the internal validity of the study. It is important for researchers to carefully control for potential confounds and ensure that any observed effects are truly due to the independent variable and not some other factor.

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Hey there!☺

\(Answer:\boxed{6.41*10^{13}}\)

\(Explanation:\)

\(64,100,000,000,000\) as a scientific notation would be written like this:

\({6.41*10^{13}}\)

Hope this helps!

Answer: A.

Step-by-step explanation:

It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

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Answer:

45

Step-by-step explanation:

each month it is increasing by 4 so you add 8 to 37 to get your answer

i hope this helped! have a good day love

Answer:

i think 2

Step-by-step explanation:

hope this helps