b ^ 2 - 4b - 14 = 0

The equation for the scaled version of the function f(x) = x² is g(x) = a × x²

The function g(x) can be considered a scaled version of the function f(x) = x². To create a scaled version of a function, we can multiply the original function by a scaling factor. Let's call this scaling factor "a." Now, the equation for g(x) can be written as:

g(x) = a ₓ f(x)

Since f(x) = x², we can substitute it into the equation for g(x):

g(x) = a ₓ x^2

In this equation, "a" represents the scaling factor. If "a" is greater than 1, the function g(x) will stretch vertically, meaning its parabola will be more narrow compared to f(x). If "a" is between 0 and 1, the function g(x) will be compressed vertically, resulting in a wider parabola. If "a" is negative, the parabola will be reflected over the x-axis.

In summary, the equation for the scaled version of the function f(x) = x² is g(x) = a × x², where "a" is the scaling factor. Depending on the value of "a," the resulting parabola will be either stretched or compressed vertically, and may be reflected over the x-axis if "a" is negative.

To know more about function here:

https://brainly.com/question/21145944

#SPJ1

Answer:

∑[ (250)2 (400)2 (250)2 (350)^2 (100)2 (50)2] = 420,000.

Step-by-step explanation:

You first calculate the mean which is  is 2150.

You then subtract 2150 from the 6 values in turn

The first one = 2400 - 2150 = 250.

Then you square each of the 6 results and add them up - this comes to 420,000.

\(\\ \sf\longmapsto 6x-4+x+17=90\)

\(\\ \sf\longmapsto 7x+13=90\)

\(\\ \sf\longmapsto 7x=90-13=77\)

\(\\ \sf\longmapsto x=11\)

Answer:

\(62 \degree\)

Step-by-step explanation:

Complementary Angles are added up to 90°

Therefore,

\(6x - 4 + x + 17 = 90 \\ 7x + 13 = 90 \\ 7x = 90 - 13 \\ 7x = 77 \\ \frac{7x}{7} = \frac{77}{7} \\ x = 11\)

So,

\(ZA = 6x - 4 \\ = 6 \times 11 - 4 \\ = 66 - 4 \\ = 62 \degree\)

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

The answer cannot be given as exact prices are not listed. How to do it could be explained as below:

Step-by-step explanation:

The first thing you have to do is find the price of the shoes. Then you take $250 (the amount of money in the gift card) and subtract it from the price of the shoes.

Then, we take the number we got from above and divide it by how much 1 pair of socks costs. You could get a decimal, and if you do, pretend that the numbers after the decimal don't exist. This number is the number of possible socks you could order only using the gift card.

Message:
Hope this helped! <3

The given differential equation representing a system is ä(t) + 5* (t) + 11ä(t) + 15ż(t) + 5x(t)- r(t) = 0. The order of the system is equal to the highest derivative that appears in the differential equation. Therefore, the order of the given differential equation is 2.

The solution for the given differential equation representing a system is as follows: a) Determine the system's order. The given differential equation representing a system is ä(t) + 5* (t) + 11ä(t) + 15ż(t) + 5x(t)- r(t) = 0.The order of the system is equal to the highest derivative that appears in the differential equation. Therefore, the order of the given differential equation is 2.b) Determine the state-space equation for the system. State space representation is a mathematical model used for describing the behaviour of a system by drawing on the relationship between the system's input, output, and internal state.

A state-space representation can be created for any linear time-invariant system. The order of the system is equal to the highest derivative that appears in the differential equation. Therefore, the order of the given differential equation is 2.A state-space representation can be created for any linear time-invariant system.  The order of the system is equal to the highest derivative that appears in the differential equation. Therefore, the order of the given differential equation is 2.b) Determine the state-space equation for the system.

To know more about differential equation visit:

https://brainly.com/question/32645495

#SPJ11

Answer:

35/-7

Step-by-step explanation:

you want to do the second y- the first y over the second X- the first x to GRT the slope

Answer:

35/-7

Step-by-step explanation:

To calculate slope, you use the slope formula: y2 - y1

                                                                              x2 - x1

So 36.5 - 1.5      

    -5 - 2            

And that equals 35/-7                                                          

Answer: 3/3 into a decimal would be 1

Step-by-step explanation:

You cant simplify it anymore than that

Answer:

3.33

Step-by-step explanation:

I am sorry if im wrong!

The requried coordinates of points S', R', and T' are (5,-4), (8,5), and (3,2).

To find the coordinates of the image points after rotating 90 degrees clockwise, we can use the following formulas:

x' = y

y' = -x

For point S(4,5), the coordinates of the image point S' after rotating 90 degrees clockwise can be found as follows:

x' = y = 5

y' = -x = -4

Therefore, the image point S' is (5,-4).

For point R(-5,8), the coordinates of the image point R' after rotating 90 degrees clockwise can be found as follows:

x' = y = 8

y' = -x = 5

Therefore, the image point R' is (8,5).

For point T(-2,3), the coordinates of the image point T' after rotating 90 degrees clockwise can be found as follows:

x' = y = 3

y' = -x = 2

Therefore, the image point T' is (3,2).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ1

Answer:

Im pretty sure the answer is 5.

Step-by-step explanation:

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

Answer:

\(\boxed{\textsf{ The range of x is $\bf{ x \in \bigg( -\dfrac{5}{3},-\infty \bigg)}$. }}\)

Step-by-step explanation:

A linear inequality is given to us and we need to solve that inequality and represent it on the number line . So the given inequality to us is ,

\(\sf\implies 5-4x < 10 - x \qquad x \in Z \)

For the number line kindly refer to the attachment .

Taking the given inequality :-

\(\sf\implies 5-4x < 10-x \\\\\sf\implies -4x +x < 10 -5 \\\\\sf\implies -3x < 5 \\\\\sf\implies x <\dfrac{5}{-3}\\\\\sf\implies \boxed{\pink{\sf x < \dfrac{-5}{3} }}\)

This means that the value of x can be anything from -5/3 to -∞

\(\sf\implies\red{ x \in \bigg( -\dfrac{5}{3},-\infty \bigg)}\)

Answer:28.2753

Step-by-step explanation:

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

Learn more about Analysis of variance

brainly.com/question/28274784

#SPJ4

Answer:

r=9

Step-by-step explanation:

13r=117

r=117/13

r=9

Answer:

2

Step-by-step explanation:

i say 2 because you need a controlled variable and then the one subject to change (sorry if not)

Answer:

Step-by-step explanation:

Take the log of both sides:

log (5^2) = log 25, or

2 log 5 = log 25 or 2 log 5

Note that 5^2 = 25 is always true.

The vector fields in options A and B are conservative, while the vector fields in options C and D are not conservative.

To determine which vector fields are conservative,

We need to check if they satisfy the condition of being a gradient field,

If the vector field is the gradient of a scalar potential function.

We can do this by checking if the partial derivatives of the components of the vector field with respect to x and y are equal.

Start with option A, the vector field ⟨2xy,xy²⟩.

We calculate the partial derivatives as follows:

∂/∂x (2xy) = 2y

∂/∂y (xy²) = 2xy

Since the mixed partial derivatives are equal,

This vector field is conservative.

To find the potential function, we need to integrate the first component with respect to x and the second component with respect to y. We get:

f(x,y) = x²y + 1/3 y³ + C

Where C is an arbitrary constant.

Moving on to option B, the vector field ⟨\(e^x\),\(e^{x+y}\)⟩.

We calculate the partial derivatives as follows:

∂/∂x (expx) = exp(x)

∂/∂y (\(e^{x+y}\)) = \(e^x\)

Since the mixed partial derivatives are equal, this vector field is conservative.

To find the potential function, we need to integrate the first component with respect to x and the second component with respect to y. We get:

f(x,y) = \(e^x\) + \(e^x\)  y + C

Where C is an arbitrary constant.

For option C, the vector field ⟨\(4xy^4,6x^2y^3\)⟩,

We calculate the partial derivatives as follows:

∂/∂x (\(4xy^4\)) = \(4y^4\)

∂/∂y (\(6x^2y^3\)) = 18\(x^2y^2\)

Since the mixed partial derivatives are not equal, this vector field is not conservative.

For option D, the vector field ⟨−y,x⟩, we calculate the partial derivatives as follows:

∂/∂x (−y) = 0

∂/∂y (x) = 1

Since the mixed partial derivatives are not equal, this vector field is not conservative.

Therefore, the only conservative vector fields are options A and B.

To learn more about vectors visit:

https://brainly.com/question/12937011

#SPJ4

Answer:

0, -2/3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the equation would be C because

A would end up with a negative amount

B is more than she originally has to paint and

D has the wrong coefficient for t.

Answer:

c

Step-by-step explanation:

Answer:   75-watt are 30$  fluorescent are 30$ in the second and 65$ in the first

Step-by-step explanation: i calculated thirty 75-watt and the fluorescent and got these kinda hard to explain hope i helped:)

The modulus of rupture (MOR) can be calculated by dividing the maximum load by the section modulus. The section modulus for a rectangular cross-section is (width * height^2)/6.

In this case, the width is 2 inches and the height is 4 inches, so the section modulus is (2 * 4^2)/6 = 5.33 in^3. Therefore, the MOR = 240 kips / 5.33 in^3 = 45 kpsi.

The apparent modulus of elasticity (MOE) can be calculated using the formula MOE = (F * L^3) / (4 * h * d^3 * delta), where F is the maximum load, L is the span length, h is the height of the wood, d is the depth of the wood, and delta is the deflection at mid-span. Plugging in the values given, we get MOE = (240 kips * 4^3) / (4 * 4 * 2^3 * 2.4 in) = 1,333 kpsi. Therefore, the apparent MOE for the 2 * 4 wood lumber is 1,333 kpsi.

Learn more about modulus  here:

https://brainly.com/question/30505066

#SPJ11

Answer:

y = x - 1

Step-by-step explanation:

The formula for slope-intercept form is:

y = mx + b

m = slope

b = y-intercept

Slope is equal to rise over run...Let's take points (1,0) and (2,1) for example, see how if you add 1 to (1,0) it turns to (2,1)? This means the slope is 1.

The y-intercept is where x is equal to 0. Look at point (0,-1). X is zero here, and y is -1. This means that the y-intercept is -1.

The final equation would then be:

y = x - 1

(You typically don't write the 1 in front of the x if 1 is the slope)

Hope this helps!!

- Kay :)

They are skating in the same direction, how long will it take Sam to catch up to tom

will take Sam 2.72 seconds to catch up to Tom.

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To find out how long it will take Sam to catch up to Tom, we can use the following formula:

time = distance / (rate of Sam- the rate of Tom)

In this case, the distance is 120 ft (the distance between Tom and Sam when they start speed skating) and rate of Sam is 50 ft/sec, and the rate of Tom is 44 ft/sec.

Plugging these values into the formula, we get:

time = 120 / (50 - 44) = 120 / 6 = 20

So it will take Sam 20 seconds to catch up to Tom.

Learn more about the average speed  :

brainly.com/question/12322912

#SPJ4

Answer:

as below

Step-by-step explanation:

\(\frac{2}{7}\) = \(\frac{6x}{4x + 17}\)

2(4x + 17) = 7(6x)

8x +34 = 42x

34 = 42x-8x

34 = 34x

\(\frac{34}{34}\) = x

1 =x   :)

Answer:

-9 + 3f

Step-by-step explanation:

Solve -9 + f + 2f.

1. Combine the like terms

= -9 + 3f

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.

First, we can check the limit as x approaches 3 from the left:

lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞

Next, we can check the limit as x approaches 3 from the right:

lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞

Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.

Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To know more about continuity visit:

brainly.com/question/21447009

#SPJ1