A quadratic function is decreasing on (-∞, 3) and increasing on (3, ∞).
Will the vertex be the highest or lowest point on the graph of the parabola?
Explain.

The equation that generates the table is

y = (2/5)x + 4.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Money Spent (x)      $0  $20  $40  $60

Pounds of Food (v)  4      12     20    28

We can have the following points from the table.

(0, 4), (20, 12), (40, 20), and (60, 28).

Now,

Choose two points:

(0, 4) and (20, 12)

m = (12 - 4) / (20 - 0)

m = 8 / 20

m = 2/5

Now,

(0, 4) = (x, y)

y = mx + c

4 = (2/5) x 0 + c

4 = c

c = 4

Now,

The equation is given as,

y = mx + c

y = (2/5)x + 4

The equation that generates the table is

y = (2/5)x + 4.

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The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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Answer:

n ≥ -1 or n ≤ 3

Combined:

-1 ≤ n ≤ 3

Since the inequalities are ≤, it'll be a closed circle

The closed circle will start AT -1 and another closed circle will end at 3

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Solution

Step-by-step explanation:

Given

There are 7 bulbs out of which 1 is Yellow and 1 is Pink and 1 is white

If a gardener randomly select 6 bulbs

Then the Probability of selecting yellow = 1/7

probability of selecting white = 1/7

and the probability of selecting pink = 1

Therefore the correct answer is 0.0238

Answer:

c

Step-by-step explanation:

I did this last year

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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The given equation y = |x| - 3 represents the absolute value function.

The equation is given in the question following:

y = |x| – 3

We have to identify the type of special function represented by the given equation

As we know that the absolute value of a number is its distance from 0 on the number line, regardless of the sign. For example, the absolute value of -3 is 3, and the absolute value of 3 is also 3.

In the equation y = |x| - 3, the absolute value of x is subtracted from 3, so the value of y will always be a non-negative number.

Thus, the absolute value function is represented by the given equation, y = |x| - 3.

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Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.

We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:

r² = x² + y²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

Now we can find the values of sin θ, csc θ, and cot θ:

sin θ = y/r = 4/5

csc θ = r/y = 5/4

cot θ = x/y = -3/4

Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.

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Answer:

The probability that a call lasts less than 4 minutes  

 P(X<4) = P(Z<-1.25) = 0.1056

Step-by-step explanation:

Step(i):-

Given mean of the population = 6.5 minutes

Given standard deviation of the Population = 2 minutes

Let 'X' be the random variable in normal distribution

Given X = 4

\(Z= \frac{x-mean}{S.D} = \frac{4-6.5}{2} = -1.25\)

Step(ii):-

The probability that a call lasts less than 4 minutes

P(X<4) = P(Z<-1.25)

           = 1-P(z>1.25)

          = 1 - ( 0.5 +A(1.25)

         = 1-0.5 - A(1.25)

       = 0.5 - 0.3944    ( from normal table)

       = 0.1056

Final answer:-

The probability that a call lasts less than 4 minutes  

 P(X<4) = P(Z<-1.25) = 0.1056

Answer: 10.00

Step-by-step explanation:

i need it

Answer:

the answer is $33

Step-by-step explanation:

(0.40)(55) = 22

22 - 55 = 33

$33

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

Answer:

(16)(1)                          => identity property of multiplication

2(3+7) = 2(3) + 2(7)    => distributive property

(2+6) + 3 = 2+ (6+3)   => associative property

9+0 = 9                      => identity property of addition

8 x 4 = 4 x 8              => commutative property

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Answer:

radius = 5.75 units

circumference = 36.11 units

Area = 103.81625 square units

Step-by-step explanation:

Radius = 11.5 / 2 = 5.75

Circumference = 11.5 x 3.14 = 36.11

Area = 5.75 x 5.75 x 3.14 =

33.0625 x 3.14 =

103.81625 units square

This is all if pi = 3.14

Hope that helps!

Answer:

46

Step-by-step explanation:

Answer:

46

According to question,

10% × x = 20

x = 20 ÷ 10%

x = 20 ÷ 0.1

x = 200

Now find 23% of x

23% × 200

0.23 × 200

46

So the number 927 is saying that you have the number 927 while the number 972 is 50 bigger than 927 and is saying that you have 972.

Answer: the answer is 927<972 =D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

128 servings

Step-by-step explanation:

5/4 cups of milk for 10 servings is equal to 1/8 cup per 1 serving

there are 16 cups in a gallon

let 'n' = # servings in a gallon

so 1/8 : 1 is 16 : n

1/8n = 16

n = 16(8)

n = 128

Answer:

it's A

after multiplying you get the same answer

The given expression is equivalent to 2(x-3)(x-4) which is the correct answer that would be an option (B).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The quadratic function is defined as a function containing the highest power of a variable is two.

The given expression as

⇒ 2x²-14x+24

Factor out common term 2 in the expression

⇒ 2(x² - 7x + 12)

⇒ 2(x² - 4x -3x + 12)

⇒ 2[x(x - 4) -3(x - 4)]

Factor out the common terms in the expression

⇒ 2(x-3)(x-4)

Hence, the given expression is equivalent to 2(x-3)(x-4).

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Answer:

Step-by-step explanation:

84?

8+4 is 12, and 84 is greater than 80, and less than 90

Answer:

84

Step-by-step explanation:

Answer:

b. Two Sample Dependent t-test

Step-by-step explanation:

In this scenario, the best hypothesis test would be a Two Sample Dependent T-test. This is because the test would need to be seperated into two sample groups, one for the individuals that went rafting and one with the individuals that wen Kayaking. Then the data from both of these would be analyzed and compared. A dependent test would be used since the results depend on the activity in question.

Answer: 98%

Step-by-step explanation:

\(\frac{77+65+x}{3} =80\\\frac{142+x}{3} =80\\142+x=80*3\\x=240-142=98\)

The answer is A cause- and- effect relationship between two variables can best be determined When the two variables are identified.

Because the cause and effect relationship is chancing when the variables are identified or there exists a direct relationship between the variable. i.e. when the variables are identified or have a retrogression between the variables.The use of a controlled study is the most effective way of establishing reason between variables. In a controlled study, the sample or population is resolve in two, with both groups being similar in nearly every way.

There are three criteria that must be met to establish a cause- effect relationship. The cause must do before the effect. Whenever the cause occurs, the effect must also do. There mustn't be another factor that can explain the relationship between the cause and effect.

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2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

B or C one of  those

Step-by-step explanation:

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➭Doing it all using mental math

\( 1037 + 4 \\ =1041\)

\(1041 + 76 \\ = 1117\)

The centre and the radius of the circle is (-7, -1) and 6 units

The equation of the circle in standard from is expressed as:

x^2+y^2+2gx+2fy+C = 0

where;

(-g, -f) is the centre

r= √g²+f²-C

Given the equation below

x^2+y^2+14x+2y+14 = 0

2g = 14

g = 7

2f = 2

f =1

Hence the centre of the circle is (-7, -1)

Radius = √49+1-14

Radius = √36 = 6 units

Hence the centre and the radius of the circle is (-7, -1) and 6 units

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Answer:

a. the product of 11 and x

b. 9 greater than x

c. x less than 18

d. the product of 4 and the difference of x and 3

Step-by-step explanation: