I need the explanation to understand pleasey= 5 (x + 3)^2 - 4A.) Identify the coefficients (a, h, and k) B.) Tell whether the graph opens up or opens down. C.) Find the vertex. Write as a coordinate. D.) Find the axis of symmetry. Write as an equation. E.) Find two more points on the graph. You can choose what x - values to use. Write your points as coordinates (x, y).

Answer:

16

Step-by-step explanation:

-9 - 7 (distance between smallest and largest values)

Answer:

7-(-9)= 16

Step-by-step explanation:

The range is 16

Hope it helps!

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

Read more about Slope at: https://brainly.com/question/3493733

#SPJ1

Therefore, option (C) Micah is the correct answer. The graph displays how they fared throughout the race. Distance (meters).

The pace at which an object moves from one location to another is the fundamental definition of speed. The magnitude of an object's velocity is considered to be its speed. It is unquestionably a scalar amount. Distance is the separation of any two locations by any amount of space.

In most cases, distance is employed to express how far apart two things are. This concept gets slightly more precise when viewed from a mathematical standpoint. To understand distance geometrically, line segments must first be discussed.

To know more about Distance visit:-

https://brainly.com/question/15172156

#SPJ1

Answer:

$1000

Step-by-step explanation:

Inverse operation

2100-100=2000

2000/2=1000

Sorry if its wrong but hope this helpssss

If two variables are directly proportional, this means that the ratio of the two variables is constant. In other words, if x and y are directly proportional, then there exists some constant k such that:

y = kx

To find the missing value in the table, we can first calculate the value of k using any set of corresponding values for x and y. For example, we can use the first row of the table:

y = kx 9 = k(-3) k = -3

Now that we know k, we can use it to find the missing value for the second row:

y = kx y = (-3)(-5) y = 15

Therefore, the missing value in the table is 15.

The bunch of roses costs $12/$3 = 4 times as much as a single rose.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

The bunch of roses costs 4 times as much as a single rose.

To see why, we can divide the cost of the bunch of roses by the number of roses it contains. If a bunch of roses costs $12 and contains, say, 4 roses, then each rose in the bunch costs $3. On the other hand, a single rose costs $3 on its own.

Therefore, the bunch of roses costs $12/$3 = 4 times as much as a single rose.

To learn more about arithmetic sequences from the given link:

https://brainly.com/question/15412619

#SPJ1

Answer:

(A)

\(N = -b = -(-13) = 13\\\\\)

\(D =b^2 -4ac = (-13)^2 - 4(6)(5) = 169- 120 = 49\)

\(M = 2a = 2(6) = 12\)

(B)

\($ x = (\frac{5}{3} , \: \frac{1}{2}) $\)

Step-by-step explanation:

The given equation is

\(6x^2 - 13x + 5 = 0\)

The solution is of the form as given by

\($x=\frac{N\pm\sqrt{D}}{M}$\)

(A) Use the quadratic formula to solve this equation and find the appropriate integer values of N, M and D. Do not worry about simplifying the VD yet in this part of the problem.

The quadratic formula is given by

\($x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\)

The equations of N, M and D are

\(N = -b\)

\(D =b^2 -4ac\)

\(M = 2a\)

The values of a, b and c are

\(a = 6 \\\\b = -13 \\\\c = 5\)

So,

\(N = -b = -(-13) = 13\\\\\)

\(D =b^2 -4ac = (-13)^2 - 4(6)(5) = 169- 120 = 49\)

\(M = 2a = 2(6) = 12\)

(B) Now simplify the radical and the resulting solutions. Enter your answers as a list of integers or reduced fractions, separated with commas. Example: -5/2-3/4

N = 13

D = 49

M = 12

\($x=\frac{13\pm\sqrt{49}}{12}$\)

\($x=\frac{13\pm7}{12}$\)

\($ x=\frac{13+7}{12} $\)  and \($ x=\frac{13-7}{12} $\)

\($ x=\frac{20}{12} $\)  and \($ x=\frac{6}{12} $\)

\($ x=\frac{5}{3} $\)  and \($ x=\frac{1}{2} $\)

\($ x = (\frac{5}{3} , \: \frac{1}{2}) $\)

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

Learn more about functions click;

https://brainly.com/question/31062578

#SPJ1

Answer

g = 12

Explanation

21 = (g/3) + 17

Subtract 17 from both sides

21 - 17 = (g/3) + 17 - 17

4 = (g/3)

We can rewrite this as

(g/3) = 4

Cross multiply

g = (3) (4)

g = 12

Hope this Helps!!!

Answer:

y+2=3(x-6)

or

y=3x-20

Step-by-step explanation:

formula for point slope form is

y-y1=m(x-x1)

plug it in

y+2=3(x-6)

because two is negative, you add the -2, not subtract it.

y+2=3x-18

we distributed the 3 to x-6

y=3x-20

we subtracted the two, to put it in slope-intercept form

The temperature in the city will be = -1 degrees Celsius.

We have weatherman who says that in the countryside it will be -3 degree Celsius tonight but in the city it will be 2 degree Celsius warmer.

We have to determine what temperature will it be in the city.

Temperature is the measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature). One of the scale used to measure is degrees Celsius.

According to question, we have -

Temperature at the countryside =  -3 degrees Celsius

Assume the temperature at the city = x degrees Celsius

For the temperature to be warmer -

x = - 3 + 2 = -1

Hence, the temperature in the city will be = -1 degrees Celsius

To solve more questions on Change in Temperature, visit the link below-

https://brainly.com/question/13170618

#SPJ1

Answer:

Step-by-step explanation:

Since the above figure is a right angled triangle we can use trigonometric ratios to find y

To find y we use tan

tan∅ = opposite/ adjacent

From the question

the opposite is y

the adjacent is 350 ft

Substitute the values into the above formula

That's

\( \tan(27) = \frac{y}{350} \)

y = 350 tan 27

y = 178.3339

We have the final answer as

Hope this helps you

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

Read more on time and maximum height here: https://brainly.com/question/30145152

#SPJ1

Answer:

left 2 units and up 6 units

Step-by-step explanation:

f(x) = (x + 2)^4 + 6

y = f(x) + C  C > 0 moves it up

So this moves it up 6 units

y = f(x + C) C > 0 moves it left

So this moves it to the left 2 units

The parent function g(x) is shifted to the left 2 units and up 6 units to get the function f(x).

Function is a type of relation, or rule, that maps one input to specific single output.

Given function;

f(x) = (x + 2)^4 + 6

y = f(x) + C  

C > 0 moves it up

So, this moves it up 6 units.

y = f(x + C)

C > 0 moves it left

So, this moves it to the left 2 units.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

The perimeter of the pond is 2.92 meters.

A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.

The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The perimeter of a right-angled triangle is the sum of the lengths of its three sides.

Here we have

The Hypotenuse of the triangle is 1.46 m    

The angle between hypotenuse and perpendicular height = 73°

From triagonometric ratios,

=> cos A = Perpendicular height/ Hypotenuse.

=> cos (73) = Perpendicular height/1.46

=> Perpendicular height = 1.46 × 0.29 = 0.42 m

As we know from Pythagoras' theorem,

Hypotenuse² = side² + side²    

Side = √Hypotenuse² - side²  

= √[(1.46)²- (0.42)²]  = 1.04

Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04

Hence, perimeter of the pond =  1.46 + 0.42 + 1.04 = 2.92 meters  

Therefore,

The perimeter of the pond is 2.92 meters.

Learn more about Right angle triangle at

https://brainly.com/question/29550965

#SPJ1  

The complete Question is given below

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

Read more about ratio at

brainly.com/question/1781657

#SPJ1

The regression equation is Y = −12.201 + 2.195x.

In the given question,

A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

We have to find the regression equation.

Given that,

Coefficient of Intercept(a) = −12.201

Coefficient of Number of contacts(b) = 2.195

The regression equation is,

Y = a + bx

Y = −12.201 + 2.195x

To learn more about regression equation link is here

brainly.com/question/14184702

#SPJ4

The right question is:

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

What is the regression equation?

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.

LHS: (secx+tanx)²

Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:

LHS: (1/cosx + sinx/cosx)²

Now, let's find a common denominator and simplify:

LHS: [(1+sinx)/cosx]²

Expanding the squared term, we get:

LHS: (1+sinx)² / cos²x

Next, we will simplify the denominator:

LHS: (1+sinx)² / (1 - sin²x)

Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:

LHS: (1+sinx)² / cos²x

Now, let's simplify the numerator by expanding it:

LHS: (1+2sinx+sin²x) / cos²x

Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:

LHS: (1+2sinx+sin²x) / (1/sin²x)

Now, let's simplify further by multiplying the numerator and denominator by sin²x:

LHS: sin²x(1+2sinx+sin²x) / 1

Expanding the numerator, we get:

LHS: (sin²x + 2sin³x + sin⁴x) / 1

Now, let's simplify the numerator by factoring out sin²x:

LHS: sin²x(1 + 2sinx + sin²x) / 1

Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:

LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1

Simplifying further, we get:

LHS: sin²x(2sinx + 2 - cos²x) / 1

Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:

LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1

Simplifying the numerator, we have:

LHS: sin²x(2sinx + 1 + sin²x) / 1

Now, let's simplify the numerator by expanding it:

LHS: (2sin³x + sin²x + sin²x) / 1

LHS: 2sin³x + 2sin²x / 1

Finally, combining like terms, we get:

LHS: 2sin²x(sin x + 1) / 1

Now, let's simplify the RHS of the equation and see if it matches the LHS:

RHS: (cscx+1) / (cscx-1)

Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:

RHS: (1/sinx + 1) / (1/sinx - 1)

Multiplying the numerator and denominator by sinx to simplify, we get:

RHS: (1 + sinx) / (1 - sinx)

Now, we can see that the LHS and RHS are equal:

LHS: 2sin²x(sin x + 1) / 1

RHS: (1 + sinx) / (1 - sinx)

Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).

For more such questions on prove, click on:

https://brainly.com/question/30831725

#SPJ8

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

c² = a² + b²

where

c is the hypotenuse

From the question x is the hypotenuse

So we have

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

a³+1+2a²+2a = (a + 1)(a^2 + a + 1)

a^3 - 1 = (a - 1)(a^2 + a + 1)

a^4 + a^2 + 1) = (a^2 - a + 1)(a^2 + a + 1)

So the LCM is (a + 1)(a - 1) (a^2 - a + 1)(a^2 + a + 1).

Answer:

AA postulate

Step-by-step explanation:

Because both the angle are identical?

Answer: Your answer is 365

Step-by-step explanation: Hoped this helped you. And have a wonderful day!!!

The final result of 903 - 538 is 365.

To subtract 538 from 903, you perform the following calculation:

903 - 538 = 365

To explain the process, you start with the number 903 (minuend) and subtract 538 (subtrahend) from it.

1. Begin with the units place: 3 - 8. Since 8 is greater than 3, you borrow 1 from the tens place. The units place becomes 3 + 10 (borrowed) - 8 = 5.

2. Move to the tens place: 0 (in 903) - 3 (borrowed) - 3 (from 538) = -6.

3. Lastly, the hundreds place: 9 - 5 (from 538) = 4.

To know more about final result:

https://brainly.com/question/9163788

#SPJ2

Thank you so much friend.

I think a advantage of this will be that we will be able to tell our grandchildren about how we survived the pandemic, just like our grandparents talk about World War. Lol.

Answer:0.66666666666667

Step-by-step explanation:

Answer:

(x+3)(x-3)

Step-by-step explanation:

When factoring x^2-9 you'd look for square multiples of -9.

Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)

Answer:

approx 32years so pick answer A

Step-by-step explanation:

22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979