The zeros of a quadratic function are 9 and -4 which of the following could be the function

Answer:

3

Step-by-step explanation:

4*3=12

3*3=9

5*3=15

So you find the number that can be multiplied or divided by each side the same to get the new number

Explanation:

Focus on the horizontal sides. The jump from 3 to 9 is "times 3".

If you focus on the vertical sides, the jump from 4 to 12 is also "times 3".

Lastly, the slanted sides has a jump from 5 to 15 which is also "times 3".

This all shows the scale factor is 3. The larger triangle on the right has its sides 3 times as long compared to the smaller triangle.

When the slope of the line is 3 the equation of the line using point slope formula is

D. у - 8 = 3 (x - 6)

Point slope formula is giving by (y - y₁) = m (x - x₁)

where

m = slope

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

For slope of 3, equation passing through point (5, 8)

(y - y₁) = m (x - x₁)

y - 8 = 3 (x - 6)

y - 8 = 3x - 18

y = 3x - 18 + 8

y = 3x - 10

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Constant variance is the assumption of regression analysis that the standard deviation and variance of the residuals are constant for all the values of variables that are independent. - This statement is correct.

Homogeneity of variances means the assumption that the variances of the random variables are constant. This homoscedasticity (that is, constant variances) assumption can be tested using the same diagnostics used for linear regression models.

All data usually consist of the dependent variable and the independent variable itself. Constant variance is about many linear regression assumptions. For example, if you have 325 rows, there should be at least one variance, possibly a constant.  

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Answer:

The answer is 10

Answer:

10

Step-by-step explanation:

by using the distance formula we can conclude that the distance between points a and b is 10 units

Answer:

a).

\( {x}^{2} y - 2xy + y = y( {x}^{2} - 2x + 1) \\ = y {(x - 1)}^{2} \)

b).

\(a {x}^{2} + 4ax + 4a = a( {x}^{2} + 4x + 4) \\ = a {(x + 2)}^{2} \)

c).

\(20x - 60 {x}^{2} + 45 {x}^{3} = 5x(4 - 12x + 9 {x}^{2} ) \\ = 5x {(3x - 2)}^{2} \)

The value of the pooled-variance t. test statistic for testing is missing in the provided information. The number of degrees of freedom in finding the critical value of the test statistic t is missing in the provided information.

In order to determine the value of the pooled-variance t test statistic for testing and the number of degrees of freedom, we need additional information. The given information mentions a sample mean and sample standard deviation for each population, but it does not provide the sample sizes or the values of the sample means and sample standard deviations themselves. The pooled-variance t test statistic formula requires the sample sizes, sample means, and sample standard deviations from both populations. Without this information, it is not possible to calculate the pooled-variance t test statistic.

Similarly, the number of degrees of freedom for the critical value of the t-test depends on the sample sizes of both populations. Without knowing the sample sizes, we cannot determine the degrees of freedom.

To proceed with the hypothesis test and determine the value of the pooled-variance t test statistic and the degrees of freedom, we would need the missing information, such as the sample sizes, sample means, and sample standard deviations for both American tourists (population 1) and British tourists (population 2).

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Answer:

Reflecting a function over any axis can be complicated if you do not know the proper way to do it, so I am going to use examples to show you.

If f(x)=x is your normal function, then flipping it across the y-axis would look like f(x)=-x.

Step-by-step explanation:

Placing a - sign before the X will make it flip across the y-axis. After the X, and it flips across the X-axis.

The two solutions for sin(x) = -0.81 on 0 ≤ x < 2π are a ≈ -2.207 and b ≈ 3.077, with a < b.

To solve sin(x) = -0.81 on 0 ≤ x < 2π, we first need to find the reference angle. We know that sin is negative in the third and fourth quadrants, so we need to find the angle whose sine is positive and then add π to get the angle in the third quadrant and subtract π to get the angle in the fourth quadrant.
Using a calculator, we can find that the reference angle for sin^-1(0.81) is approximately 0.935 radians or 53.5 degrees. To find the solutions in the third quadrant, we add π to the reference angle, giving us x = π + 0.935 ≈ 3.077 radians or x ≈ 176.5 degrees. To find the solutions in the fourth quadrant, we subtract π from the reference angle, giving us x = 0.935 - π ≈ -2.207 radians or x ≈ -126.5 degrees.
Therefore, the two solutions for sin(x) = -0.81 on 0 ≤ x < 2π are a ≈ -2.207 and b ≈ 3.077, with a < b.

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Answer:

60

Step-by-step explanation:

edge

Answer:

720in

Step-by-step explanation:

V=LWH

V=(18)(4)(10)

Answer:

720

Step-by-step explanation:

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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The minutes it would take the diameter of the balloon to have shrunk to 8 feet is 56 minutes.

The diameter of a circle is the line that touches two ends its circumference and passes through its center.

Number of minutes = diameter / rate of decline

14/0.25 = 56 minutes

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Answer: 14 -25x =8

Step-by-step explanation: 56 minutes

Answer:

hey there are no attachments.

Step-by-step explanation:

Step-by-step explanation:

Set up a ratio

EF is to JK    as   CF is to GK

60/40 = CF/38

 then    38 * 60/40 = CF = 57  units

Answer:

y=-\(\frac{1}{3}\)x+3

Step-by-step explanation:

The energy of each photon is:
a) 239.3 kJ/mol
b) \(4.97 * 10^-4 kJ/mol\)
c) \(5.07 * 10^-4 kJ/mol\)

To calculate the energy of each photon in kilojoules per mole, we'll use the following equation:
E = h × ν × (Avogadro's number) / 1000
where E is the energy, h is Planck's constant (6.626 × 10^-34 Js), ν is the frequency in \(s^-1,\) and Avogadro's number is \(6.022 * 10^23 mol^-1.\)

For part c, we'll first convert the wavelength to frequency using the speed of light equation:
ν = c / λ
where c is the speed of light (3.00 × 10^8 m/s) and λ is the wavelength in meters.
a) ν = \(5.92 * 10^19 s^-1\)
E = \((6.626 * 10^-34 Js) * (5.92 * 10^19 s^-1) * (6.022 * 10^23 mol^-1) / 1000\)
E ≈ 239.3 kJ/mol
b) ν \(= 1.24 * 10^6 s^-1\)
E =\((6.626 * 10^-34 Js)\) * \((1.24 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 4.97 × 10^-4 kJ/mol
c) λ = 265 m
ν =\((3.00 * 10^8 m/s) / (265 m)\)
ν ≈ 1.13 × 10^6 s^-1
E = \((6.626 * 10^-34 Js)\) *\((1.13 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 5.07 × 10^-4 kJ/mol.

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Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9

Answer:

BC=53.68

Step-by-step explanation:

Use tangent since you are finding the opposite side and given the adjacent side.

tan(54)=BC/39

BC=53.68

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan54° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{BC}{39}\) ( multiply both sides by 39 )

39 × tan54° = BC, then

BC ≈ 53.68 ( to 2 dec. places ) → C

Given:

In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).

To find:

The equation that represents a line that contain CD.

Solution:

We have,

A(-4,0) and B(0,3)

Slope of AB is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{3-0}{0-(-4)}\)

\(m=\dfrac{3}{4}\)

The slope of line AB is \(\dfrac{3}{4}\).

Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.

In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.

Slope of line AB = Slope of line CD = \(\dfrac{3}{4}\)

The slope intercept form of a line is

\(y=mx+b\)

Where, m is slope and b is y-intercept.

Slope of line CD is \(\dfrac{3}{4}\), it means the line must be of the form

\(y=\dfrac{3}{4}x+b\)

Coefficient of x is \(\dfrac{3}{4}\) only in option a.

Therefore, the correct option is a.

Answer:

a)   \(y = \frac{3}{4} x + 3\)

The equation of the straight line CD is    \(y = \frac{3}{4} x + 3\)

Step-by-step explanation:

Step(i):-

Given points are A (-4,0) and B( 0,3)

Slope of the line

   \(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{3-0}{0-(-4)} = \frac{3}{4}\)

Slope of the line     \(m = \frac{3}{4}\)

Step(ii):-

The equation of the straight line passing through the point ( -4,0) and having slope    \(m = \frac{3}{4}\)

y - y₁ = m(x-x₁)

\(y -0 = \frac{3}{4} ( x- (-4))\)

\(y = \frac{3}{4} x + 3\)

The equation of the straight line AB is    \(y = \frac{3}{4} x + 3\)

Step(iii):-

CD is parallel to the line AB

The equation of the straight line AB is    \(y = \frac{3}{4} x + 3\)

                                     4 y = 3 x + 12

                                    3x - 4y +12 =0

The equation of the Parallel line is   3 x -4y +k=0

Passes through the point ( 0,3)

                                 -12 +k=0

                                      k =12

The equation of the Parallel line is   3 x -4y +12=0

                                                       4 y = 3 x+12

The equation of the straight line CD is    \(y = \frac{3}{4} x + 3\)

The maximum number of possible different eigenvalues is 2 when

det(A-I×λ)=0.

Given that,

We have to describe the reason why a 2x2 matrix can only have two different eigenvalues.

We know that,

Checking this out with straight calculations

Keep in mind that the eigenvalues of a matrix A are determined by:

det(A-I×λ)=0

Where I is the identity matrix, whose diagonal exclusively contains ones.

As a result, the size of the matrix determines the maximum number of eigenvalues. For instance, a 2x2 matrix corresponds to an identity matrix with just two members on the diagonal.

Therefore, The maximum number of possible different eigenvalues is 2 when det(A-I×λ)=0.

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Answer:

x = 73 °

Step-by-step explanation:

A pentagon has a collective degree of 540

So to find x, you have to set up an equation:

x + 127 + 112 + 108 + 120 = 540

To solve:

Combine like terms

x + 467 = 540

Subtract 467 on both sides:

x = 540 - 467

x = 73

Answer:

A parent function is the simplest function that still satisfies the definition of a certain type of function. For example, when we think of the linear functions which make up a family of functions, the parent function would be y = x. This is the simplest linear function

Answer:

I'm sure its 5=n-12 :))))

Answer:

y=35

Step-by-step explanation:

21=y-14​   Add 14 to both sides to isolate x.

+14  +14

35=y

Hope this helps and have a great day! ^^

(perdón, me no hablo español)