3. f(x) = (x + 5)²-9
Axis of symmetry:
Vertex:
Zeros:
Minimum/maximum:
Domain:
Range:

The true statement about the graph is

It is a function with the domain {-6 < x < 0} and the range {0 ≤ y ≤ 5}.

The range refers to all possible value in the out put of a graph.

The out put is the y coordinate and the possible values here is within the interval

0 ≤ y ≤ 5

The domain refers to all possible value in the input of a graph.

The input is the x coordinate and the possible values here is within the interval

-6 ≤ x ≤ 0

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Answer: $28.80 per year

Answer:

Option (4)

Step-by-step explanation:

Coplanar points-

If two or more points are in the same plane, points are called to be coplanar points. Three points in space are always coplanar.

Collinear points-

If two or more points are on a straight line, points are collinear.

Two points are always collinear.

From the diagram attached,

Points R,T,Q and S are neither coplanar nor collinear.

Therefore, Option (4) will be the answer.

Answer:

neither collinear nor coplanar

Step-by-step explanation:

The probability in question is a right-tail probability because it is asking for the probability that the mean bond percent for the sample will be at least 28 percent, which is greater than the mean of 26.9 percent.

To calculate the probability, first find the z-score:
z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))
z =\( (28 - 26.9) / (3.6 / sqrt(35))\)
z = \( 1.1 / (3.6 / 5.916)\)
z =\(  1.1 / 0.608\)
z ≈ \( 1.809\)

Using the z-table, the area to the left of this z-score is 0.965. Since we are looking for the right-tail probability, we need to subtract this value from 1:
Probability = 1 - 0.965
Probability ≈ 0.035

Thus, the probability that the mean bond percent for the sample will be at least 28 percent is approximately 0.035. The correct answers are right-tail probability and 0.035.

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A formula to find the number of sides in a regular polygon given that the measure of one interior angle is a x° is x°=180°(n-2)/n.

We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180°(n-2)/n, where n is the number of sides of the polygon.

Given that, in a regular polygon given that the measure of one interior angle is a x°

We know that, in the regular polygon is all interior angles are equal and all sides are equal.

Now, x°=180°(n-2)/n

Therefore, the formula is x°=180°(n-2)/n.

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Rational numbers are numbers that can be expressed as the ratio or fraction of two integers, where the denominator is not zero. In other words, a rational number is any number that can be written in the form of p/q. This is where p and q are integers and q is not equal to zero.

Rational numbers include integers (whole numbers and their negatives) and fractions. For example, 1, -3, 4/5, -2/7, and 0 are all rational numbers because they can be expressed as the ratio of two integers.

Rational numbers can be positive, negative, or zero, and they can be either finite (terminating) or non-repeating (recurring) decimals when expressed in decimal form. For example, 1/2 is a rational number that can be expressed as the finite decimal 0.5, while 1/3 is a rational number represented by the non-repeating decimal 0.3333...

It is worth noting that irrational numbers, such as the square root of 2 (√2) or pi (π), are numbers that cannot be expressed as a fraction and are not considered rational numbers.

Answer:

Numbers which can be expressed in the form of p/q (where q≠0) are called rational numbers. example:

7/3 , 21/11 etc.

The number we should pick near average value is 252 or 253.

In this given scenario, we have 10 players, everyone wagers 100 bucks and everyone picks 0-100. The person who picks to half the average wins the prize. To determine what number we should pick and why, let's start by solving the problem step-by-step.

Step 1: Find the average value of all picks.To find the average, we add up all the picks and divide by the number of players. We have 10 players, so: Sum of all picks = 0 + 1 + 2 + ... + 99 + 100 = 5050

Average value = (sum of all picks) / (number of players)= 5050 / 10= 505

Step 2: Half the average value. To half the average value, we divide it by 2:

Half of average = (average value) / 2= 505 / 2= 252.5

Step 3: Choose the number closest to half the average. Now that we know that the half of the average value is 252.5, we should choose the number closest to it. The person who picks the number closest to 252.5 wins the prize. If we pick a number less than 252.5, we will not win because someone who chose a number greater than 252.5 will win. If we pick a number greater than 252.5, we will not win because someone who chose a number less than 252.5 will win.So, the number we should pick is 252 or 253. Both numbers are equally close to 252.5. If we want to win, we should choose one of these numbers.

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\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{b}{\sin(85^o)}=\cfrac{31}{\sin(42^o)}\implies b\sin(42^o)=31\sin(85^o) \\\\\\ b=\cfrac{31\sin(85^o)}{\sin(42^o)}\implies b\approx 46.2\)

The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

Comparing the volume of the paints used and analyzing the proportions, The answer is Tina's shade is more blueish and Tyler's shade is more greenish.

A ratio is a way to compare two or more numbers or amounts. It tells you how much bigger or smaller one number is compared to the other. It is often written as two or more numbers separated by a colon, such as "3:5" or "2:4:6". For example, if a recipe calls for 2 cups of sugar to 4 cups of flour, the ratio would be 2:4. This means for every 2 cups of sugar, there are 4 cups of flour. It's a way to express a relationship between values or quantities and it helps to understand the proportion of one value to the other values.

Proportion is a relationship between two or more values or quantities that compares their sizes. It's a way of saying that two or more values are equal in some way. It can be written as an equation, such as "a/b = c/d", which means that the ratio of a to b is equal to the ratio of c to d. In other words, the proportion states that two or more ratios are equal to each other. For example, if a cake recipe calls for 2 cups of sugar to 4 cups of flour, the proportion would be 2/4 = 1/2. This means that for every 2 parts of sugar, there are 4 parts of flour, which can be written as a ratio 2:4 .

Tina's ratio of blue paint to green paint = 777:555

Tyler's favorite shade has a ratio =  555:777.

The ratio for Tina's shade is greater than 1 .

while the ratio for Tyler's shade is less than 1.

So Tina's shade is more blueish and Tyler's shade is more greenish.

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Answer:

y = +6

Step-by-step explanation:

-y + 6 = 0

Subtract 6 from both sides;

-y = -6

Divide both sides by -1

y = 6

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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a. A function for the total cost is T(x) = 90x + 30.

b. The value of T(6) is $570.

c. The meaning of T(6) is that the university would make $570 in six hours.

d. If you were to graph this function, the credit hours would be plotted on the horizontal axis.

e. If you were to graph this function, the total tuition bill would be plotted on the vertical axis.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Part a.

Since the university charges $90 per credit hour plus a $30 registration fee, a linear equation in slope-intercept form that models the situation is given by:

T(x) = 90x + 30

Part b.

When x = 6 hours, we have:

T(6) = 90(6) + 30

T(6) = $570.

Part c.

The meaning of T(6) is that this university would make $570 in six hours or the total tuition bill for six hours is equal to $570.

Part d.

In this scenario, the credit hours would be plotted on the horizontal axis of a graph.

Part e.

In this scenario, the total tuition bill would be plotted on the vertical axis.

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(200/250)×100 = 80%

100 - 80 = 20%

hope it helps...!!!

Answer:

20%

Step-by-step explanation:

The correct answer is number line A. Number Line A shows that Rose has $25 remaining to spend on decorations. The number line shows that she has already spent $5, as indicated by the arrow pointing from 0 to 5.

Number line is the  visual representation of numbers on a straight line. These are often used to represent linear equations, as well as to learn basic mathematical concepts such as addition, subtraction, multiplication, and division.

The number line shows that she has a total of $30 available for decorations, as indicated by the arrow pointing from 0 to 30. Between the two arrows, it is clear that Rose has $25 remaining to spend on decorations.

Number Line B does not accurately represent Rose’s situation because the arrow pointing from 0 to 20 does not indicate that Rose has already spent $5. Number Line C does not accurately represent Rose’s situation because the arrow pointing from 0 to 25 does not indicate that Rose has a total of $30 available to spend.

To solve this problem, Rose needs to identify the total amount of money she has available to spend on decorations and the amount of money she has already spent. Once she has identified these two values, she can use a number line to represent her situation.

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Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Simply here we can see ID is a straight line.

So, angle IHL + angle EHK = 180°

or, 75° + angle EHK = 180°

or, angle EHK= 105°

Hope it helps uh.

Answer:

fat bit

fat old ugly

Step-by-step explanation:

When repeatedly drawing numbers from a hat containing slips labeled 1, 2, 3, 4, and 5, we would expect the results to form a uniform distribution.

This means that each number has an equal chance of being drawn, resulting in a roughly flat or rectangular-shaped graph. In this scenario, since each slip of paper has an equal probability of being drawn, the distribution of the results would be uniform. A uniform distribution is characterized by a constant probability for each possible outcome.

The graph representing this distribution would be a flat rectangle, with equal heights for each number. The x-axis would represent the possible numbers (1, 2, 3, 4, 5), and the y-axis would represent the frequency or probability of each number being drawn.

The graph would have uniform or constant height across all the numbers, indicating an equal chance of drawing any of the numbers. This type of distribution is commonly observed in situations where each outcome has the same probability of occurring, such as when selecting items randomly from a fixed set or conducting fair games of chance.

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Answer:

1:7

Step-by-step explanation:

Use dot products to express y as a linear combination of the vectors in S.

To represent y as a linear combination of the vectors in S using dot products, we calculate the dot product of y with each vector in S and divide it by the squared length of the corresponding vector. The coefficients obtained from the dot products form the linear combination. The steps for each exercise are as follows:

Let S = {7, 20} and y = {-1, 0, 9}.

Dot product with the first vector: (-1)⋅7 = -7

Dot product with the second vector: 0⋅20 = 0

y = (-7/149)⋅7 + (0/400)⋅20 = (-7/149)⋅7

Let S = {3, 1, 2, 0, 9} and y = {5, 5, -1}.

Dot product with the first vector: 5⋅3 = 15

Dot product with the second vector: 5⋅1 = 5

Dot product with the third vector: -1⋅2 = -2

Dot product with the fourth vector: 0⋅0 = 0

Dot product with the fifth vector: 9⋅9 = 81

y = (15/19)⋅3 + (5/26)⋅1 + (-2/14)⋅2 + (0/5)⋅0 + (81/186)⋅9

Let S = {-1, 0} and y = {1, 0}.

Dot product with the first vector: 1⋅(-1) = -1

Dot product with the second vector: 0⋅0 = 0

y = (-1/1)⋅(-1) + (0/1)⋅0 = -1

Let S = {5, 5, -1, -1} and y = {2, 1}.

Dot product with the first vector: 2⋅5 = 10

Dot product with the second vector: 1⋅5 = 5

Dot product with the third vector: 2⋅(-1) = -2

Dot product with the fourth vector: 1⋅(-1) = -1

y = (10/50)⋅5 + (5/50)⋅5 + (-2/2)⋅(-1) + (-1/2)⋅(-1)

Let S = {A, B} and v = {p}.

Dot product with the first vector: p⋅A

Dot product with the second vector: p⋅B

y = (dot product with A)⋅A + (dot product with B)⋅B

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The vector v⃗ =[1−1]v→=[1−1] can be written as v⃗ = -2 * x⃗ - 3 * y⃗. The vector v⃗ =[1−1]v→=[1−1] can be expressed as a linear combination of x⃗ =[−21]x→=[−21] and y⃗ =[−53]y→=[−53] by finding the coefficients that satisfy the equation v⃗ = a * x⃗ + b * y⃗, where a and b are scalars.

To express v⃗ =[1−1]v→=[1−1] as a linear combination of x⃗ =[−21]x→=[−21] and y⃗ =[−53]y→=[−53], we need to find scalars a and b such that v⃗ = a * x⃗ + b * y⃗.

By comparing the components, we have:

1 = -2a - 5b

-1 = a + 3b

Solving this system of equations, we find a = -2 and b = -3. Therefore, we can express v⃗ as a linear combination of x⃗ and y⃗ as v⃗ = -2 * x⃗ - 3 * y⃗. This means that v⃗ can be obtained by scaling x⃗ by -2 and y⃗ by -3, and adding the results together.

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Answer:

1.80

2.Overestimate.

Step-by-step explanation:

Answer:

Sorry I'm late

Step-by-step explanation:

y=5(14-x)(x) quadratic equation best models the volume of the box .

What is volume of cuboid?

Perimeter = 2(width + length) =28

Let x=width of base, then length of base = (28/2)-x = 14-x

Volume of box = length*width*height

=x(14-x)*5  ⇒ 5x(14-x)(x)

Therefore, y=5(14-x)(x) quadratic equation best models the volume of the box .

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Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

Answer:

$24.09

Step-by-step explanation:

you do 984.20-381.80=602.4

then divide 602.4 by 1/4

which 1/4=25.

then you get $24.09

Answer:

Step-by-step explanation:

984.20-381.80= 602.40

602.40 left in savings.

602.40*1/4= 150.60 transfer to checking account.

602.40-150.60= 451.80 left in the savings account.

Answer:

22.8

Step-by-step explanation:

if the hair grows 5.7 inches in 4 years it would be 22.8 all u have to do is multiply. C:

The correct answer would be 3. f(x) = -1, so you got to find the -1 in the y row of the table and just say that x =3 if y =-1.

Answer:

x = 3

Step-by-step explanation:

The question is asking for which value of x gives -1

You don't have an equation, however you do have a table of values

Y is similar to f(x) in the sense that it is the output, while x is the input.

All you must do is see where y = -1, this is the same for when f(x) = -1

So, there is only one moment where y = -1, which is when x = 3

With this, we can conclude that for the value of x = 3, f(x) = -1

68% of the population will have a height within the range of 69 inches to 75 inches. None of the provided options match this range.

In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean.

Given:

mean height = 72 inches  

standard deviation = 3 inches,

We can determine the range within which 68% of the population's heights will fall.

To calculate this range, we subtract and add one standard deviation from the mean:

Lower bound: Mean - Standard Deviation

= 72 - 3

= 69 inches

Upper bound: Mean + Standard Deviation

= 72 + 3

= 75 inches

Therefore, 68% of the population will have a height within the range of 69 inches to 75 inches.

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