Find the equation of the quadratic function whose graph is shown below.

Solution:

Note that:

Looking at both the triangles, we can say that:

We can do the same with AB and FG.

Answer:

2

Step-by-step explanation:

The scale factor between the two shapes is 2 because when you look at the number between the two triangles, 6/3 is 2 and 20/10 is also 2.

Answer:

She'll walk and run on the 30th of the day of the month

Step-by-step explanation:

Given

\(Run = 5th\ days\)

\(Walk = 6th\ days\)

Required

Determine date which She'll run and walk

To do this, we need to determine the LCM of the given days:

\(5 = 1 * 5\)

\(6 = 1 * 2 * 3\)

\(LCM = 1 * 2 * 3 * 5\)

\(LCM = 30\)

Hence:

She'll walk and run on the 30th of the day

Answer:

A

Step-by-step explanation:

the speck of dust is very small,

using the smallest unit out of all the choices, mm,  is the best way to rewrite it

choice A

Answer: C. 12 inches

Step-by-step explanation: Let's use the formula for the volume of a cylinder, which is:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We ar given that the length of the radius is twice the height, which can be written as:

r = 2h

We are also given the volume of the cylinder, which is 864 cubic inches. Substituting the given values, we get:

864 = π(2h)^2h

Simplifying and solving for h:

864 =4πh^3

h^3 = 864/(4π)

h = 6

Now that we know the height of the cylinder is 6 inches, we can find the radius using the equation r = 2h:

r = 2(6) = 12 inches

Therefore, the length of the radius of the cylinder is 12 inches, which is option C.

The required expression for the laundry service is y = 0.89x.

Given that,
The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

here
Let the pound of laundry be x and the charge corresponding to the pound of the laundry be y.
According to the question,
y ∝ x
y = kx
Put x = 25 and y = 22.25
22.25 = k 25
k = 0.89
Put back k in the proportional equation,
y = 0.89x

Thus, the required expression for the laundry service is y = 0.89x.

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Answer:

Step-by-step explanation:

The required expression for the laundry service is y = 0.89x.

Given that,

The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

here

Let the pound of laundry be x and the charge corresponding to the pound of the laundry be y.

According to the question,

y ∝ x

y = kx

Put x = 25 and y = 22.25

22.25 = k 25

k = 0.89

Put back k in the proportional equation,

y = 0.89x

Thus, the required expression for the laundry service is y = 0.89x.

The minimum number of masthead lights for the given vessel is 2.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A towing vessel 35 meters in length, with a tow 100 meters astern,

Masthead lights = total length of the tow / total length of the vessel
                        = 100 / 35 = 2.85

So, the Number of Masthead lights for the given vessel is 2 ≤ x ≤ 3.
And a minimum number of masthead lights is 2.

Thus, the minimum number of masthead lights for the given vessel is 2.

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Answer:

Step-by-step explanation:

Perimeter equation:

We have:

Simplify the first equation and solve by substitution:

Find the value of l:

The equation is

And

And

L=7+2=9ft

Answer:

278 cheeseburgers and 350 hamburgers sold on Thursday

Step-by-step explanation:

To confirm that these combined equal 628 we can add them together using the equation 278 + 350. Once confirm that these both equal 628 when combined, we can find the difference between the 350 hamburgers and 278 cheeseburgers by subtracting one from the other using the equation, 350 - 278. When you do that, you will get a difference of 72 which means that there were 72 fewer cheeseburgers sold than hamburgers.

(sorry if this is confusing, I'm not good at explaining things)

Answer:

$100.00

Step-by-step explanation:

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan including compound interest.

The amount I have to pay back in full is approximately 100 dollars.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded semi-annually is,

A = P(1 + (r/2)/100)²ⁿ. (two semi-annuals in one year)

Therefore, A = 95(1 + (5.2/2)/100)²ˣ¹.

A = 95(1 + 0.026)².

A = 95(1.026)².

A = 95×1.052676.

A = $100 approximately.

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The definition of an eigenvector of A with eigenvalue λ.

True.

By definition, an eigenvector of a matrix A is a non-zero vector x that satisfies the equation Ax = λx, where λ is a scalar called the eigenvalue corresponding to x.

So if Ax = λx for some scalar λ, then x is a non-zero vector that satisfies the definition of an eigenvector of A with eigenvalue λ.

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Answer:

4 \(\frac{1}{4}\)

Step-by-step explanation:

The additive inverse is the value that must be added to the number to give zero.

- 4 \(\frac{1}{4}\) + 4 \(\frac{1}{4}\) = 0

           ↑ additive inverse

Answer:

B=28

Step-by-step explanation:

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.

Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is \(-16t^{2} +48t\).

We are required to find the time that the ball took to travel before returning the ground.

We know that speed is the distance a thing covers in a particular time period.

The height of the ball after t seconds is as follows:

h(t)=\(-16t^{2} +48t\)

It is at ground at the instants of t.

Hence,

\(-16t^{2} +48t\)=0

-16t(t-3)=0

We want value of t different of 0, hence :

t-3=0

t=3.

Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.

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Answer:

B. t=3

Step-by-step explanation:

i took the test and got it right

The value of the polynomial is 19.

What are the polynomials?

Based on the degree of a polynomial, it can be classified into 4 types. They are zero polynomial, linear polynomial, quadratic polynomial, cubic polynomial. Polynomials should have a whole number as the degree. Expressions with negative exponents are not polynomials.

Well, 3 to the 3rd power is the EXACT SAME THING as 3 times 3 times 3.

So 3 x 3 = 9, then 9 x 3 = 27.

So now we work on the other side of the problem;

(4)(2) is the same as 4 times 2, which is 8.

Now we subtract;

27 - 8 = 19.

So your final answer is 19.

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Answer:

Step-by-step explanation:

What you just have to do is multiply 2 1/2 and 1 1/4, but i can still do it. 2 1/2 is the same as 5/2 , and 1 1/4 is the same as 5/4, so just multiply the top and the bottom and you will get 25/8 whicxh is basically 3 and 1/8

Answer:

Step-by-step explanation:

The slope is - 2/3 and the point on the line is (-3, -1).

Find the y-intercept:

The line is:

Correct choice is D

Equation in point slope form

Option D

Answer:

A sandwich is $3.50 and the price of a drink is $2.50

Step-by-step explanation:

Create a system of equations where s is the price of a sandwich and d is the price of a drink:

9s + 5d = 44

15s + 7d = 70

Solve by elimination by multiplying the top equation by 7 and the bottom equation by -5, then adding them together:

63s + 35d = 308

-75s - 35d = -350

Add them together:

-12s = -42

s = 3.5

Then, plug in 3.5 as s into one of the equations to solve for d:

9s + 5d = 44

9(3.5) + 5d = 44

31.5 + 5d = 44

5d = 12.5

d = 2.5

So, a sandwich is $3.50 and the price of a drink is $2.50

Answer:

A sandwich is $3.50 and the price of a drink is $2.50

Step-by-step explanation:

Plz mark as brainliest it would be helpful

A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).

An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.

For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.

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Answer: x=-3 or x=0

Factor the quadratic

2x(x+3)=0

Equate each factor to 0 and solve for x

2x=0

x=0

x+3=0

x=-3

Answer:

810 g flour

6 teaspoon (tsp) baking powder

12 tablespoons (tbsps) sugar

780 ml milk

6 egg

12 tablespoons (tbsps) oil

Step-by-step explanation:

24/4=6, so you need to multiply everything by six

Answer:

I don't know what prism. once you see this put it in the description of this

Step-by-step explanation:

The population variance of the given data set is 6.89. Population Variance is 6.89

To calculate the population variance, we need to follow these steps:

Calculate the mean (average) of the data set.

Subtract the mean from each data point and square the result.

Calculate the mean of the squared differences.

This mean is the population variance.

Given the data set: 2.5, 6, 4, 1, 8.5, 2

Step 1: Calculate the mean:

Mean = (2.5 + 6 + 4 + 1 + 8.5 + 2) / 6 = 4

Step 2: Subtract the mean from each data point and square the result:

(2.5 - 4)^2 = 2.25

(6 - 4)^2 = 4

(4 - 4)^2 = 0

(1 - 4)^2 = 9

(8.5 - 4)^2 = 22.09

(2 - 4)^2 = 4

Step 3: Calculate the mean of the squared differences:

Mean = (2.25 + 4 + 0 + 9 + 22.09 + 4) / 6 = 41.34 / 6 = 6.89

Step 4: The population variance is equal to the mean calculated in Step 3:

Population Variance = 6.89

Therefore, the population variance of the given data set is 6.89.

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Step-by-step explanation:

when you do a mathematical operation between 2 functions that simply means you do this operation between both functional expressions.

so, here :

f - g = (5x² - 4x) - (5x + 1) = 5x² - 9x - 1

I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Answer:

3

Step-by-step explanation:

4 x 3 = 12

12 - 1 = 11

The statement describes the domain and range of the exponential function f(x) = – 4ˣ is

A.The domain and range are both the set of all real numbers.

The y-axis on a graph represents the possible output values, or range.

while the domain is the input values.

The domain of the exponential function f(x) = – 4ˣ is set of all real numbers

The range considering the domain is also set of all real numbers since it can be positive or negative depending on the value of the domain

It is worthy to note that the domain and range of the graph may be larger than the values seen if the graph extends beyond the area that is visible.

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The needed algebraic expression is 2y + x for the condition.

Given that,

To determine an algebraic expression to sport each condition
"in the first quarter, the football team made two touchdowns and one field goal".

The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.

Let,
The goal filled  =  x
The touchdown = y
the football team made two touchdowns and one field goal,
= 2y + x

Thus, the needed algebraic expression is 2y + x for the condition.

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To solve this problem and find the value of x or classify the triangle, it is necessary to have a diagram or more explicit instructions or equations that relate to the given scenario. Without the given information, it is not possible to solve the problem or provide a solution.

The problem mentions finding the value of x and classifying the triangle, but it does not provide any specific details, diagrams, or equations to work with. Without this crucial information, it is impossible to determine the value of x or classify the triangle.

Similarly, the problem also asks to find the measure of the exterior angle, but there is no visual representation or any additional context provided. The measure of an exterior angle depends on the specific geometric configuration, and without that information, it cannot be determined.

To solve this problem and find the value of x or classify the triangle, it is necessary to have a diagram or more explicit instructions or equations that relate to the given scenario. Without these essential components, it is not possible to generate a solution or determine the values and classifications requested in the problem.

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