ANSWER PLS Sketch the graph of 2x^(2)-3x-9=y using your graphing calculator.

What are the x-intercepts of this graph?

a.-3, -3/2

b.-3, 3/2

c. 3, 3/23

d. 3, -3/2

The equation of transforming the function h(x) to y = h(x - 3) is h(x - 3) = -1/2(x - 3)² + -1/2(x - 3) + 4

The graph h(x) is a quadratic function

A quadratic function is represented as

y = ax² + bx + c

Where c = y when x = 0

So, we have

y = ax² + bx + 4

Using the other points, we have

a + b + 4 = 3

4a + 2b + 4 = 1

So, we have

a + b  = -1

4a + 2b = -3

When solved, we have

a = -1/2 and b = -1/2

So, the equation is

y = -1/2x² + -1/2x + 4

Rewrite as

h(x) = -1/2x² + -1/2x + 4

When translated to h(x - 3), we have

h(x - 3) = -1/2(x - 3)² + -1/2(x - 3) + 4

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Answer: 5400

Step-by-step explanation:

For a cube V=lwh

Volume for the larger box = 4.5 x 5 x 3.75 =84.375 or 675/8

Volume for smaller box =.25 x .25 x .25 = .015625 or 1/64

divide the larger by smaller.

84.375/.015625=5400

or

[tex]\frac{675}{8} /\frac{1}{64}[/tex]   keep change flip = [tex]\frac{675}{8} * \frac{64}{1}[/tex] = 5400

The system of linear equations represented by the graph are y=2x-1 and y= -x+2.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that,

The coordinates on the blue line are (2, 3) and (0, -1)

The coordinates on the red line are (2, 0) and (0, 2)

Equation of a line with (2, 3) and (0, -1)

Now, m=(y₂-y₁)/(x₂-x₁)

= (-1-3)/(0-2)

= 2

Substitute m=2 and (x, y)=(2, 3) in y=mx+c, we get

3=2(2)+c

c=-1

Substitute m=2 and c=-1 in y=mx+c, we get

y=2x-1

Equation of a line with (2, 0) and (0, 2)

Now, m=(y₂-y₁)/(x₂-x₁)

= (2-0)/(0-2)

= -1

Substitute m=-1 and (x, y)=(2, 0) in y=mx+c, we get

0= -1(2)+c

c=2

Substitute m=-1 and c=2 in y=mx+c, we get

y= -x+2

Therefore, the system of linear equations represented by the graph are y=2x-1 and y= -x+2.

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Answer:

The solution is 24

Step-by-step explanation:

z = 7

w = 5

2z + 2w

we enter the numbers

2(7) + 2(5)

= 14 + 10

= 24

For the first expression, the order of operation is multiplication followed by subtraction and addition,  -5.56.For the second expression, the order of operations is multiplication followed by addition,  -0.9.

The addition is a mathematical operation that involves combining two or more numbers or quantities to find their total or sum. It is typically represented by the plus sign (+) and is one of the fundamental arithmetic operations. Addition is commutative, meaning that the order of the numbers being added does not affect the result.

For the first expression:

Operations:

Multiplication: 1.2 x (-1.3)

Subtraction: 1.2 x (-1.3)

Addition: 1.2 x (-1.3) + 4

Order of operations:

Multiplication: 1.2 x (-1.3) = -1.56

Subtraction: -1.56 - 4 = -5.56

For the second expression:

Operations:

Multiplication: 2 x 2.5

Addition: -3.5 - 1.4 + (2 x 2.5)

Order of operations:

Multiplication: 2 x 2.5 = 5

Addition: -3.5 - 1.4 + 5 = -0.9

Therefore, For the first expression, the order of operation is multiplication followed by subtraction and addition,  -5.56.For the second expression, the order of operations is multiplication followed by addition,  -0.9.

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The probability of selecting one ball that is either odd or a number 4 ball is 11/20.

To find the probability of selecting one ball that is either odd or a number 4 ball, you should first identify the number of odd balls and then add the number 4 ball if it is not already included.

Here are the steps to calculate the probability:

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The solution is, 28.5cm^2  is the area of shape B.

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition polyhedral of arc length for one-dimensional curves and the definition of surface area for (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double much simpler mathematical concepts than the definition of surface area integration and is based on techniques used in infinitesimal calculus. Sought a general definition of surface area.

(3×7)+(1.5×5)

21+7.5

28.5cm^2

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The total number of ways the students cab be selected is 715 under the condition that there are 13 students in a class, and 4 of them will be chosen to go on a field trip.

This can be possible by applying  the formula for combination
nCr = n! / r!(n-r)!
Here
n = total number of students
r =  number of students to be chosen.
For the given case, there are total 13 students in a class and 4 of them will be chosen to go on a field trip.
Therefore,
n = 13
r = 4
Staging these values into the formula
13C4
= 13! / (4! × (13-4)!)
= 715

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5^2 is equal to 25.
lol its kinda easy

Answer:

25.

Step-by-step explanation:

The symbol "^" representa exponents.

The exponet (second number) means how many times you mutiply 5 by itself. In this case, it's 2.

2. 5 x 5 = 25

Answer:

3.2

Step-by-step explanation:

Answer: the answer is b, -30.

The values are x = 26°, ∠1 = 130° and ∠7 = 50°.

Given that the two parallel lines a and b we need to find the value of angle 1,

So,

∠1 = ∠8 [alternate exterior angle theorem]

∠8 + ∠7 = 180° [linear pair]

∠1 + ∠7 = 180°

Therefore,

5x + 2x-2 = 180°

7x = 182°

x = 26°

∠1 = 5(26)

∠1 = 130°

∠7 = 2(26)-2

∠7 = 50°

Hence the values are x = 26°, ∠1 = 130° and ∠7 = 50°.

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Alice's shortest height is 1.25 feet.

To determine Alice's shortest height, we need to examine the ratios given.

The ratio of her original height to her second height is 24:5, her second height to her third height is 1:12, and her original height to her fourth height is 16:1. We are told that the tallest height is 10 feet.
Since the tallest height is 10 feet, and the ratio of her original height to her fourth height is 16:1, we can find her original height: (10 feet / 1) * 16 = 160 feet. Now that we have her original height, we can find her second and third heights using the other given ratios:
Second height: (160 feet / 24) * 5 = 33.33 feet
Third height: 33.33 feet * 12 = 400 feet

Summary: Among the four heights (160 feet, 33.33 feet, 400 feet, and 10 feet), the shortest height is 10 feet (fourth height). However, since the question asks for her shortest height not mentioned as the tallest, it would be her second height, which is 33.33 feet. After reevaluating the ratios, Alice's original height should be 30 feet, making her second height 1.25 feet (30 / 24 * 5), which is the correct shortest height.

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Could you possibly repost your question with a clear image?

The details on this image are unreadable and, therefore, make it difficult to help.

Will bookmark this question so I can find your new post if posted again.

The minimum dimensions of the rectangle are 6cm and 19 cm

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l + w)

Such that the parameters of the formula are;

From the information given, we have that;

Perimeter of the rectangle is = 50 centimeters

length of the rectangle = 3w - 1

Substitute the values

50 = 2(3w + 1 + w)

expand the bracket

50 = 2(4w + 1)

50 = 8w + 2

collect like terms

8w = 548

w = 6 centimeters

Length = 19 centimeters

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Answer:

Total cost of attending university per year: $22,700

Parent's will pay half of it: ?

To know half of the number, we divide it by 2.

= $22,700 ÷ 2 = $11,350

Parents will pay: $11,350

Academic scholarship will pay: $8,300

= $11,350 - $8,300 = $3,050

So, The student have to save a total of $3,050.

To know how much she would need ro save every month, we would divide $3,050 by 12.

= $3,050 ÷ 12 = $254.15

The student Parents will pay $11,350. The student needs to save a total of $3,050 to pay the remaining cost. If the student chose to pay the needed amount in 12 months, then he/she would save $254.15 every month.

Answer:

$8741.40

Step-by-step explanation:

Shantel's net worth is $5,480.80. Her liabilities are $3,260.60.

What is the amount of her assets?

We Take

5,480.80 + 3,260.60 = $8741.40

So, her amount of assets is $8741.40

The solid figure that  has triangular base 6 edges 3 triangular faces and 1 common vertex is option (D) Triangular Pyramid.

A triangular pyramid is a geometric solid with a triangular base and three triangular faces that meet at a single vertex point. It has six edges, with each edge connecting the base to the vertex point. The base of the pyramid can be any type of triangle, and the height of the pyramid is the perpendicular distance from the vertex point to the plane of the base.

Triangular pyramids are commonly found in architecture and can be used in the design of roofs or decorative features. They are also used in mathematics to explore various properties, such as surface area, volume, and Euler's formula. In addition, triangular pyramids have applications in physics, such as in the study of crystal structures and the analysis of molecular geometry.

Therefore, the correct option is (D) Triangular Pyramid.

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The given question is incomplete, the complete question is:

Which solid figure has triangular base 6 edges 3 triangular faces and 1 common vertex

A. Cone

B. Square pyramid

C. Triangular prism

D. Triangular pyramid

The minimum possible value of the objective function is -36

From the question, we have the following parameters that can be used in our computation:

Objective function, F = 8x - 3y

The coordinates of the feasible region are

(5, 5), (0, 8). (0, 12), (10, 0) and (15, 0)

Substitute (5, 5), (0, 8). (0, 12), (10, 0) and (15, 0) in the above equation, so, we have the following representation

F(5, 5) = 8(5) - 3(5) = 25

F(0, 8) = 8(0) - 3(8) = -24

F(0, 12) = 8(0) - 3(12) = -36

F(10, 0) = 8(10) - 3(0) = 80

F(15, 0) = 8(15) - 3(0) = 120

The minimum value above is -36 at (0, 12)

Hence, the minimum possible value of the objective function is -36

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Answer:

24

Step-by-step explanation:

you dived the number for flowers

Answer:

16 tables

Step-by-step explanation:

Basically this is a question involving the Greatest Common Factor(GCF) also sometimes referred to as Greatest Common Divisor(GCD)

The greatest common factor (GCF or GCD ) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder.

To find the GCF, find the factors of each number and then find the largest common factor

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 64 are: 1, 2, 4, 8, 16, 32, 64

16 is the largest common factor and therefore GCF(48, 64) = 16

This means that the greatest number of tables for decoration is 16

With 16 tables there will be 64/16 = 4 balloons per table and 48/16 = 3 flowers per table

1/7 is the probability of getting both lights to be red.

In this problem, we want the conditional probability that both showed red, given that they both showed the same color, hence the outcomes are given as follows:

Desired outcomes: same color and red.

Total outcomes: same color.

The outcomes which result in the same color are given as follows:

Red - red, with 6/7 x 1/6 = 1/7 probability.

Green - green, with 1/7 x 3/10 = 3/70 probability.

Meaning that the conditional probability is calculated as follows:

p =1/7.

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The probability that a randomly selected light bulb will last for more than 900 hours is approximately 0.0228 or 2.28%. The probability that a randomly selected box of this cereal weighs less than 15 ounces is approximately 0.0228 or 2.28%.

Solution 1 :-

We can use the standard normal distribution to answer this question by finding the z-score for a lifespan of 900 hours and then finding the corresponding probability.

z = (x - μ) / σ

where:

x = lifespan we want to find the probability for = 900 hours

μ = mean lifespan = 800 hours

σ = standard deviation = 50 hours

Plugging in the values, we get:

[tex]z = (900 - 800) / 50 = 2[/tex]

We discover that the probability associated with a z-score of 2 is around 0.0228 using a conventional normal distribution table or calculator.

Solution 2:

We can use the standard normal distribution to answer this question by finding the z-score for a weight of 15 ounces and then finding the corresponding probability.

z = (x - μ) / σ

where:

x = weight we want to find the probability for = 15 ounces

μ = mean weight = 16 ounces

σ = standard deviation = 0.5 ounces

Plugging in the values, we get:

[tex]z = (15 - 16) / 0.5 = -2[/tex]

We discover that the probability associated with a z-score of -2 is around 0.0228 using a basic normal distribution table or calculator.

The study of the possibility or chance of an event occurring is the focus of the mathematic branch known as probability.  It is a measure of how likely it is for an event to occur, ranging from 0 to 1, with 0 indicating that the event will never occur and 1 denotes that the event will always take place.

Probability can be expressed in different ways, such as fractions, decimals, or percentages. It is often used in various fields such as science, economics, and finance, to make predictions and informed decisions based on the available data. Probability is essential in statistical analysis, where it is used to calculate the likelihood of certain outcomes, test hypotheses, and make predictions.

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Complete Question:-

Ask your two questions in each of the two cells below, and provide the entire operation using probability statement(s) needed to calculate the answer to the question you've come up with. for example, if you ask what is the probability that (using the example from hw9) a basketball player makes a 2-point shot when defended, you would find:

Question 1: A company produces light bulbs and claims that they have a mean lifespan of 800 hours with a standard deviation of 50 hours. What is the probability that a randomly selected light bulb will last for more than 900 hours?

Question 2: A grocery store sells a certain brand of cereal and claims that the weights of the boxes follow a normal distribution with a mean of 16 ounces and a standard deviation of 0.5 ounces. If a customer selects a box at random, what is the probability that it weighs less than 15 ounces?

There are 7098 possible ways of grouping 4 students, where there will be 2 juniors and 2 seniors, by using combinations.

There are 14 juniors and 13 senior in the service club and the club is to send four representatives to the state conference.

The members of the club decide to send 2 juniors and 2 seniors of the club for the state conference. There is no specified order of how to form the groups.

Thus we apply the formula of combinations to calculate the total number of different groupings of 4 students that is possible since order does not matter in combinations = nCr

where, n is the total number of students and r is the required number of students from the total.

Applying formula of combinations,

Total number of possible groupings = (14C2)*(13C2)

Here, 14C2 calculates the number of ways juniors can form groups and 13C2 calculates the number of ways seniors can form groups.

⇒ Total number of possible groupings = [ 14!/{(14-2)!*2!}]* [ 13!/{(13-2)!* 2!}]

= 7098

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Answer:

50 calculators and 10 calendars.

Step-by-step explanation:

Part A: Let x be the number of calculators and y be the number of calendars ordered. Then we have the following system of equations:

x + y = 60 (the total number of items ordered is 60)

12x + 10y = 700 (the total cost of the order is $700)

Part B: To solve this system by substitution, we can isolate x from the first equation and substitute it into the second equation. This gives us:

x = 60 - y

12(60 - y) + 10y = 700

Simplifying and solving for y, we get:

720 - 12y + 10y = 700

-2y = -20

y = 10

Therefore, the number of calendars ordered is 10. To find the number of calculators ordered, we can plug in y = 10 into the first equation and get:

x + 10 = 60

x = 50

Therefore, the number of calculators ordered is 50.

Answer:

Step-by-step explanation:

0.3

The probability that the students teacher selects are both boys is equal to 5/32 (fraction in the simplest form).

Number of girls in Math's class of 7th grade = 3

Number of boys in Math's class of 7th grade = 5

Number of girls in Math's class of 8th grade = 9

Number of boys in Math's class of 8th grade = 3

There are a total of 8 students in the seventh grade

And 12 students in the eighth grade,

For a total of 20 students in the class.

The probability of selecting a boy from the seventh grade is 5/8,

since there are 5 boys out of a total of 8 students in the seventh grade.

The probability of selecting a boy from the eighth grade is 3/12,

since there are 3 boys out of a total of 12 students in the eighth grade.

To find the probability of selecting a boy from both grades, we multiply the two probabilities,

= (5/8) x (3/12)

= 15/96

= 5/32 (fraction in the simplest form)

Therefore, the probability of selecting a boy from the seventh grade and a boy from the eighth grade is 5/32.

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Answer:

60m^3

Step-by-step explanation:

In order to find the volume of this shape, you must solve the volume of the 2 different portions separately. You can do this by considering both of them to be rectangular prisms.

The smaller portion has a length of 1, a height of 2, and a depth(? im not sure if its called depth) of 3, you can get the 3 from the depth(?) of the larger one.

Since the volume of a rectangular prism is length x width x depth(?), the smaller figure has an volume of 6 m cubed, or 6m^3

The larger figure has a length of 6, a height of 3, and a depth(?) of 3, meaning you can multiply 3 x 3 x 6, which gives 54, which means the larger figure's volume is 54m^3

Now, you add the volumes of both figures, which gives a volume of 60m^3.

The correct option is the second one, because it contins the point (0, 0.5), thus, the initial value is 0.5

For any function.

y = f(x)

We define the initial value as the value that y takes when we evaluate it in x = 0.

y = f(0) is the initial value, and it is represented by the pointy (0, y).

So a function will have an initial value of one-half if it contains the point (0, 0.5)

From the given options, the only one that conatins it is the second option "On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 0.1), (0, 0.5), (1, 2.5)."

So that is the correct one.

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