Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.

Answer:

height = 5.682 meters

Step-by-step explanation:

height = -9.8x^2 + 7x + 3

Find the axis of symmetry: x = -b/(2a)

a = -9.8 b = 7 c = 3

x = -7/(2*-9.8) = -7/-19.6 = .357 = x = +.357 secs is when max height occurs

Find the height, replace x with .561

height = -9.8(.357^2) + 11(.357) + 3

height = -9.8(.127) + 11(.357) + 3

height = -1.245+3.927+3

height = 5.682

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Answer:

c. 132

Step-by-step explanation:

find the area for each space than add them for sa

a = l x w

sa = a

Answer:

Step-by-step explanation:

Slope-intercept form of a linear equation: y = mx + b

Problem 17: y = -4x + 2

Problem 18: y = 1/7x - 5

Problem 19:

y = 1x + 3

Hope this helps!

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = -4x + 2

When comparing both equations, we can observe that:

Therefore, the slope and the y-intercept are -4 and 2 respectively.

Determining the coordinates of the y-intercept;

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 2)

________________________________________________________

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = x/7 - 5

When comparing both equations, we can observe that:

Therefore, the slope and the y-intercept are x/7 and -5 respectively.

Determining the coordinates of the y-intercept;

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, -5)

________________________________________________________

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = 1x + 3              [x = 1x]

When comparing both equations, we can observe that:

Therefore, the slope and the y-intercept are 1 and 3 respectively.

Determining the coordinates of the y-intercept;

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 3)

Answer:

the option b is correct answer

Answer:

c

Step-by-step explanation:

that was arrange from greatest to lowest

A. 3x² +6

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

Answer:

x = 28

y = 13/7

Step-by-step explanation:

2x + 2y = 160

xy = 52

y = 80-x

80 - x = 52

-x = -28

x = 28

y = 13/7

Answer: Its 10 ft

Step-by-step explanation: because if one side is the number the other side is going to be the same number

please choose me as brainly

Answer:

Wanda brought 9 carrot sticks.

Step-by-step explanation:

Answer:

10 feet

Step-by-step explanation:

Given,

Volume of right cylinder = 2000 π cubic feet.

Length ( l ) = 20 feet

To find : Radius ( r )

Formula : -

Volume of right cylinder = πr²h

πr²h = 2000 π

Divide π on both sides,

r²h = 2000

r² = 2000 / h

r² = 2000 / 20

r² = 100

= 10 x 10

r²= 10²

r = 10 feet

Hence,

the radius is 10 feet.

Answer: 1000

Step-by-step explanation: V=a to the 3rd power=10 to the 3rd power=1000

Answer:

he will get a total of 41%

Julieta has a job for $49000 which increases at the rate of 3% per year, so the money earned after 21 years is $79870.

A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount.

A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.

As per the information received from the question,

Principle amount, P = $49000

Rate, R = 3%

Time, T = 21 years.

SI = ($49000 × 3 × 21)/100

SI = 30870

So, the total amount earned in 21 years is $30870, and the total money he is having after 21 years is $79870.

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Answer:

Q' = (-4, -2)

R' = (4, -2)

S' = (4, 2)

T' = (-4, 2)

Step-by-step explanation:

First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.

Our initial matrix to multiply:

[tex]4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right][/tex]

Moved to the origin:

[tex]4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right][/tex]

Multiplied by four:

[tex]\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right][/tex]

This gives us the points of

Q' = (-4, -2)

R' = (4, -2)

S' = (4, 2)

T' = (-4, 2)

which are our answers.

Answer:

A = 51

Step-by-step explanation:

I'm not sure if it is correct but here is my working

180=41+2a+a-14

180=3a+27

153=3a

51=a

Answer:

a=51

Explaination-

ABC + ACB + BAC = 180°

(a-14)° + 2a + 41° = 180°

a=51

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

Answer:

6371. six thousand three hundred and seventy-one

Answer:  [tex]823.9ft^{2}[/tex]

Step-by-step explanation:

The formula for the area of a parallelogram is : [tex]l * w * h[/tex]

l = length

w = width

h = height

You did not specify which integer was which, but it does not matter as the order in which you multiply them together does not matter.

10.7 * 5.5 * 14 = 823.9

Since you are finding the area, you have to square the units; 823.9 ft^2

If you found this answer helpful, I would greatly appreciate it if you gave me brainliest :D.

Answer:

AB = BA

Step-by-step explanation:

In general, AB = BA, even if A and B are both square. If AB = BA, then we say that A and B commute. For a general matrix A, we cannot say that AB = AC yields B = C. (However, if we know that A is invertible, then we can multiply both sides of the equation AB = AC to the left by A−1 and get B = C.)

The amplitude is equal to 3, the period is π midline y = -1.

For this case the amplitude is given by:

A = (l-5l + 1) / 2

A = 6/2

A = 3

The middle line is given by:

y = -1

The period of the function is given by,

T = l x2 - x1 l

T = l 0 - pi l

T = l - pi l

T = pi

Therefore the amplitude: 3; period is π; midline: y = -1.

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Answer:

If you looking for what two variables your looking for the make both of them congruent it would be e and g and then k and f im not sure if thays the answear your looking for hope this helps.

Answer:

The angle measure of 1 is 62 degrees.

Step-by-step explanation:

You need to the exterior angle theorem.

This means that all the exterior angles have to equal up to 360 degrees.

You need to add everything up which should equal 298 degrees.

Then subtract 360 by 298.

The angle measure of 1 is 62 degrees.

Answers:

You may or may not have to type in the word "degrees", and/or use the degree symbol. I would ask your teacher for clarification.

A diagram is shown below.

============================================================

Explanation:

We'll need the law of cosines to solve for angle A.

a^2 = b^2 + c^2 - 2*b*c*cos(A)

17^2 = 36^2 + 45^2 - 2*36*45*cos(A)

289 = 3321 - 3240*cos(A)

289 - 3321  = -3240*cos(A)

-3032  = -3240*cos(A)

-3240*cos(A) = -3032

cos(A) = (-3032)/(-3240)

cos(A) = 0.935802

A = arccos(0.935802)

A = 20.64 degrees

which is approximate to 2 decimal places.

Note: The "arccos" refers to "arccosine" which is the same as inverse cosine (denoted as [tex]\cos^{-1}[/tex] on many calculators).

-----------------------------

Do a similar set of steps for angle B.

b^2 = a^2 + c^2 - 2*a*c*cos(B)

36^2 = 17^2 + 45^2 - 2*17*45*cos(B)

1296 = 2314 - 1530*cos(B)

1296 - 2314  = -1530*cos(B)

-1018  = -1530*cos(B)

-1530*cos(B) = -1018

cos(B) = (-1018)/(-1530)

cos(B) = 0.665359

B = arccos(0.665359)

B = 48.29 degrees

Also approximate to 2 decimal places.

-----------------------------

As you can probably guess by now, we could use the law of cosines to find angle C. But a much quicker shortcut is to use the fact that for any triangle, the interior angles always add to 180 degrees.

This shortcut is only possible since we know the two other angles.

Solve for C.

A+B+C = 180

C = 180-A-B

C = 180 - 20.64 - 48.29

C = 111.07 degrees

Like the others, this is approximate to 2 decimal places.

You can use a graphing tool like GeoGebra to confirm the answers. See below. Due to the SSS (side side side) triangle congruence theorem, only one triangle is possible. This means only one answer is possible per angle.

Answer:  C - 15.81

Step-by-step explanation:

pythagorean theorum: a^2 + b^2 = c^2

13^2 + 9^2 = c^2

169 + 81 = c^2

c^2 = 250

root both sides

c = 15.81

Answer: 15

Step-by-step explanation:

By the alternate interior angles theorem, [tex]5x+9=84 \longrightarrow x=\boxed{15}[/tex]

D) it is difficult to administer.

Step-by-step explanation:

area equation is pi*r^2. divide by pi then square root. so the answer is the square root of 40

Answer:

√40 centimeters

Step-by-step explanation:

Given :

Area of circle = 40π cm²

===========================================================

Formula for area of a circle :

Area = πr²

===============================================================

Equating the given term and formula to find r :

⇒ 40π = πr²

⇒ r² = 40

⇒ r = √40 centimeters

Answer:

169/20, 8.461, 8.49, 8 6/11

Step-by-step explanation:

You can convert all of them to decimals. 169/20 = 8.45 and 8 6/11= 8.545. Then you order the from least to greatest.

Using the line of best-fit, it is found that the residual for the player is of 12.6.

A residual is given by the difference between the observed point and the predicted point.

In this problem, the expected score over x hours is given by:

f(x) = 280.3 + 85.7x.

Hence, for 3 hours, the predicted score is given by:

f(3) = 280.3 + 85.7 x 3 = 537.4.

The observed score was of 550, hence the residual is given by:
R = 550 - 537.4 = 12.6.

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A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. The true statements are A, D, and E.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

The following points about the scatter plot are true,

A. The graph shows a linear association

As there can be drawn a line between the two axes of the graph, and this line will give the approximate values, therefore, the graph shows a linear association. Thus, the statement is true.

B. The graph has no outliers

The graph has an outlier lying at the bottom right of the graph. Thus, the statement is False.

C. The graph shows a nonlinear association

As the graph has a linear association, it can not have a non-linear association. Thus, the statement is False.

D. The graph shows a positive association.

As the slope of the imaginary line is positive, the graph shows a positive association. Thus, the statement is true.

E. The graph could be used to show an association between the hours worked and the amount earned.

The above situation can be depicted by the given graph. Thus, the statement is true.

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Answer:

5,814 inches cubed

Step-by-step explanation:

lengthxwidthxheight=volume of a rectangular prism.

19 times 17 times 18 equals 5,814 inches cubed. It is cubed because it is a three-dimensionsal shape. Hope this helps!