Let a, b, and c be real numbers where a mc023-1.j pg b mc023-2.j pg c mc023-3.j pg 0. Which of the following functions could represent the graph below?

mc023-4.j pg

f(x) = x2(x – a)2(x – b)4(x – c)
f(x) = x3(x – a)3(x – b)(x – c)2
f(x) = x4(x – a)(x – b)3(x – c)3
f(x) = (x – a)2(x – b)(x – c)6

Answer:

so you answered your own question?

Answer:

3:1

Step-by-step explanation:

Out of 4/4 tulips...

Davon has 3/4 white tulips.

Davon therefore has 1/4 red tulips.

3/4:1/4 is basically 3:1 (After dividing 1/4 by 3/4)

The value of the fraction 2/3 × 5/8 isn't 3/4 because it is 10/24 and reducing to lowest term won't give 4.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers

The value of the fraction will be:

= 2/3 × 5/8

= 10/24

= 5/12

Therefore, the value isn't 3/4.

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The unit rate of flavor A is; $0.2245 per ounce

The unit rate of flavor B is; $0.20 per ounce

An equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used is; y = ²/₅x

A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

We are given that Flavor A is 20 ounces and costs $4.49. Thus;

Unit rate of flavour A = $4.49/20 = $0.2245 per ounce

For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. Thus, the unit rate is $0.20 per ounce

Since ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red.

If x is the number of ounces, then the unit rate is 2/5 . Thus, the equation is; y = ²/₅x

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

33.3%

Step-by-step explanation:

10/ 30= 0.3(3 would be a reoccurring decimal)

0.3*100=33.3

10% of students take the bus

x = -1

Step-by-step explanation:

2(x - 1) + 4 = -(x + 6) + 5

2x - 2 + 4 = -x - 6 + 5

2x + 2 = -x - 1

2x + x = -1 - 2

3x = -3

x = -1

Answer:

f = 8

Step-by-step explanation:

Step 1:

f - ( - 4 ) = 12          Equation

Step 2:

f + 4 = 12           Open Parentheses

Step 3:

f = 12 - 4        Subtract 4 on both sides

Answer:

f = 8

Hope This Helps :)

Answer:

F=8

Step-by-step explanation:

subtracting a negative is just addition.

so f+4=12

next get f by itself by subtracting 4 from each side

f=12-4

f=8

Check the picture below.

Answer:

x = 60°

y = 60°

Step-by-step explanation:

The three angles of a triangle add up to 180°
In ΔWXY, 60 + 60 + x = 180°
=> 120 + x = 180

=> x = 180 - 120 = 60°

Since lines WZ and XY are parallel, x and y which are alternate interior angles must be equal

So y = x = 60°

The multiplication of the given values can be done as follows:

\begin{aligned}\frac{\sqrt{2}}{2}\cdot \left(-\frac{\sqrt{3}}{2}\right) &  =\frac{\sqrt{2}\times\left(-\sqrt{3}\right)}{2\times 2}

\\&=\frac{\sqrt{2}\times\left(-\sqrt{3}\right)\times 2} {2\times 2\times 2}

\\&=\frac{\left(-2\sqrt{6}\right)}{4}\\&=\frac{-\sqrt{6}}{2}\end{aligned}\[\frac{\sqrt{2}}{2}\cdot \left(-\frac{1}{2}\right)\] is equal to:     \begin{aligned}\frac{\sqrt{2}}{2}\cdot \left(-\frac{1}{2}\right)&=\frac{\sqrt{2}\times\left(-1\right)}{2\times 2}\\

&=\frac{\sqrt{2}\times\left(-1\right)\times 2}{2\times 2\times 2}\\&=\frac{-2\sqrt{2}}{4}\\&=-\frac{\sqrt{2}}{2}\end{aligned}.

Therefore, \[\frac{\sqrt{2}}{2}\cdot \left(-\frac{\sqrt{3}}{2}\right)=\frac{-\sqrt{6}}{2}\] and \[\frac{\sqrt{2}}{2}\cdot \left(-\frac{1}{2}\right)=-\frac{\sqrt{2}}{2}\].
To find the product of the given expressions, follow these steps:

Step 1: Multiply the numerators:
(\frac{\sqrt{2}}{2}) * (-\frac{\sqrt{3}}{2}) * (\frac{\sqrt{2}}{2}) * (-\frac{1}{2})

Step 2: Multiply the numerators together:
= (\sqrt{2} * -\sqrt{3} * \sqrt{2} * -1)

Step 3: Multiply the denominators together:
= (2 * 2 * 2 * 2)

Step 4: Combine the numerators and denominators:
= (\sqrt{2} * -\sqrt{3} * \sqrt{2} * -1) / (2 * 2 * 2 * 2)

Step 5: Simplify the expression:
= (2 * -\sqrt{6} * -1) / 16

Step 6: Final simplification:
= (2 * \sqrt{6}) / 16

So, the product of the given expressions is \frac{2\sqrt{6}}{16}.

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Answer:

110 is a composite number

Step-by-step explanation:

prime numbers are numbers that have only one and themselves as a factor example

2,3,5,7,13,17, etc

while

composite Numbers are numbers that have more than two factors that are other than one and themselves example

24,42,35,56,8,4 etc

Answer:  -6 only (choice B)

This is because the point (0,-6) is on the blue line. This is the y intercept.

Choice C would be true if you wanted to solve f(x) = 0, instead of f(0) itself.

Answer:

-6

Step-by-step explanation:

f(0) means what is the output when the input is 0

x=0 y= -6

Given: 8 runners

To Determine: number of ways the runners would be rewarded

Solution

Using the multiplication principle

Hence, the number of ways they can be rewarded is god, silver and bronze is 336

The Fisher information for given gamma distribution with α = 4 and β = 0 can be calculated. The MLE of β is shown to be efficient for β and 95% confidence interval is determined using the limiting property of MLEs.

(a) The Fisher information measures the amount of information that a random sample carries about an unknown parameter. For the given gamma distribution with shape parameter α = 4 and rate parameter β = 0, the Fisher information can be calculated as I(β) = \(\frac{n}{\beta ^{2} }\), where n is the sample size.

(b) To show that the MLE of the rate parameter β is efficient for β, we need to demonstrate that it achieves the Cramér-Rao lower bound, which states that the variance of any unbiased estimator is greater than or equal to the reciprocal of the Fisher information. Since the MLE is asymptotically unbiased and achieves the Cramér-Rao lower bound, it is efficient.

(c) Using the limiting property of MLEs, we can construct a confidence interval for β. As the sample size increases, the MLE follows an approximately normal distribution. The 95% confidence interval can be calculated as \(\beta\) ± \(1.96(\frac{1}{\sqrt{I(\beta )} } )\), where \(\beta\) is the MLE estimate and I(β) is the Fisher information.

By substituting the values of α and β into the formulas we can obtain the specific results for this gamma distribution.

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Answer:

y=(x-6)^2+2 Have a nice day

There are the number of pods of peas are  = 38

A number is split in the straightforward action of division. It's simpler to visualize it as a set of items being distributed to a certain group of individuals, as in the scenario given above. Naturally, in the interest of fairness, you should always offer each person the same amount.

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

total number of peas = 288

peas have per pod  = 6

total number of pods required  = 288/6

                                                    = 38

there are the number of pods of peas are  = 38

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I understand that the question you are looking for is:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

Answer:

About 100 times faster

=1 x 10²

Step-by-step explanation:

Estimate using a single digit times a power of 10.

We approximate to the nearest whole number

A healthy human heart beats about 1,533,000 times in a year.

= 1.533 × 10⁶

As a single digit = 2.0 × 10⁶

A sparrow's heart beats about

241,776,000 times in a year.

= 2.41776 × 10⁸

As a single digit = 2 × 10⁸

About how many times faster does the sparrow's heart beat compared to the human heart?

We find the difference in their powers of 10

= ( 10^8 - 6)

= 10²

This means the sparrows heart beats at about

1 × 10² or a 100 times faster

Answer:

$468.12

Step-by-step explanation:

Given that:

Amount to deposit:

Check 1: = $95.62

Check 2 = $432.50

Amount he'll like to receive or withdraw = $60

Total amount he'll be depositing :

Check 1 + Check 2 - withdrawal

$95.62 + $432.50 - $60

= $468.12

To satisfy both conditions, (a) x being a multiple of 7 and (b) x^2 being less than 500, there are 14 values of x.

Condition (a) states that x must be a multiple of 7. Since there are infinitely many multiples of 7, the range of x satisfying this condition is (-∞, ∞), which means any real number can satisfy this condition.

Condition (b) states that x^2 must be less than 500. To find the range of x that satisfies this condition, we take the square root of both sides, which gives us -√500 < x < √500. Simplifying further, we get -22.36 < x < 22.36.

To find the intersection of the ranges satisfying both conditions, we consider the common values within the two ranges. The range satisfying both conditions is (-22, 22), inclusive. Since x can be positive or negative, there are 22 positive values and 22 negative values, giving a total of 44 values that satisfy both conditions. However, we need to account for the zero value, which is also a multiple of 7 and has its square less than 500. Hence, including zero, there are a total of 45 values of x that satisfy both conditions.

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Two parents are present in 69% of all families with children ages six to eleven. Option d is correct.

Option d is the correct choice, which states that 69 percent of all families with children aged six to 11 have two parents. This information is supported by various studies and statistics, which have consistently shown that the majority of families in the United States consist of two-parent households. While single-parent families do exist, they are less common than families with two parents.

This information is important in understanding the dynamics and structure of families in the US, as well as in developing policies and programs that support and strengthen families.

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--The complete question is, According to your text, 69 percent of all families with children aged six to 11:

a) are harmonious and stable.

b) have one parent.

c) are chronically poor.

d) have two parents.
Link to the text is,  open.maricopa.edu/devpsych/chapter/chapter-9-early-adulthood/--

Step-by-step explanation:

The sum of (-2 3/4) and 5/g is not necessarily rational. A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. (-2 3/4) is a rational number because it can be expressed as the ratio of two integers: -11/4. However, 5/g is only rational if g is an integer and not equal to zero. If g is not an integer or is equal to zero, then 5/g is not rational, and the sum of (-2 3/4) and 5/g would not be rational either. So, without knowing the value of g, we cannot determine if the sum of (-2 3/4) and 5/g is rational or not.

Answer:

The ball hits the ground after 7 seconds.

The ball is thrown from a height of 140 ft.

The ball reaches a maximum height of 320 ft, which occurs at 3 seconds.

Step-by-step explanation:

The easiest and fastest way to do this is to graph the equation in a graphing calc. When t = 0, we know that would be the y-intercept and we would find the initial height of the ball. The maximum vertex of the graph would be the maximum height of the ball (y-value) and where the graph crosses the x-axis would be where the ball hits the ground.

Answer:

Step-by-step explanation:

the ball hits the ground when h=0

0=-20 t²+120 t+140

or t²-6t-7=0

t²-7t+t-7=0

t(t-7)+1(t-7)=0

(t-7)(t+1)=0

t=7,-1(rejected)

after 7 seconds the ball hits the ground.

when t=0,h=140

ball is thrown from a height of 140 ft

(c)

h=-20t²+120t+140

=-20(t²-6t+3²-3²)+140

=-20(t-3)²-20×-9+140

=-20(t-3)²+180+140

=-20(t-3)²+320

max. height is reached =320 ft

If a = 2b and b is 14% of c, then a is 28% of c.

This means that a is 28% of the total value of c.

Let's break down the given information step by step to determine the relationship between a, b, and c and find the percentage of a in relation to c.

Given:

a = 2b

b = 14% of c

We can substitute the value of b from the second equation into the first equation to express a solely in terms of c:

a = 2(14% of c)

a = 2(0.14c)

a = 0.28c

Now we have expressed a in terms of c.

To find the percentage of a in relation to c, we can calculate the ratio of a to c and multiply by 100 to express it as a percentage:

Percentage of a in relation to c = (a / c) * 100

Percentage of a in relation to c = (0.28c / c) * 100

Percentage of a in relation to c = 0.28 * 100

Percentage of a in relation to c = 28%

Therefore, a is 28% of c.

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Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

The results for the given function are as follows:

1. p(x) = 14(x + 7)² + 1, The direction is upward by 1 unit.

2. q(x) = –5(x + 10)² – 1, The direction is downward by 1 unit.

3. s(x) = –(x – 1)² + 0.5, The direction is upward by 0.5 unit.

4. g(x) = 2x² + 10x – 35 = (x+5/2)² - 23.75, The direction is downward by 23.75 unit.

5. t(x) = –2x² – 4x – 3 = -(x + 1)² - 0.5, The direction is downward by 0.5 unit.

What is the function?

In mathematics, the function is an expression or rule, or law which defines the relationship between dependent and independent variable. Functions are ubiquitous  and are essential for designing physical relationships.

According to the question, the given function expression as well as transformation results are as follows:

p(x) = 14(x + 7)² + 1, The direction is upward by 1 unit.

q(x) = –5(x + 10)² – 1, The direction is downward by 1 unit.

s(x) = –(x – 1)² + 0.5, The direction is upward by 0.5 unit.

g(x) = 2x² + 10x – 35 = (x+5/2)² - 23.75, The direction is downward by 23.75 unit.

t(x) = –2x² – 4x – 3 = -(x + 1)² - 0.5, The direction is downward by 0.5 unit.

By using property of the function which states that if a constant value is added to the function it will go upward, similarly, If we subtract a constant then it will go downward.

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Answer:

40

Step-by-step explanation:

The first step is to calculate the base area of the prism

= 15×30

= 450

The volume is then calculated as follows

= 450×h

= 450h

The capacity is 18 liters

= 18×1000

= 18,000

Therefore the height of the rectangular prism can be calculated as follows

450h= 18,000

h= 18,000/450

= 40

Hence the height is 40 cm

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

\((7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67\)

Therefore , the value of x is 20.67° .

Hence , this is the required solution .