what is the vertex of the graph of the function below? y=x^2+6x+5

Answer:

72-16

Step-by-step explanation:

Difference is represented by the subtraction of 2 numbers. If we want to represent the difference of 2 numbers, we need to subtract one number from the other number.

The Answer would be 4. 4(x+20)

The correct answer would be

C. All Real Numbers

We are required to find all the possible length of lakeisha’s sunroom

The possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet

perimeter of a rectangle = 2(length + width)

perimeter > 108 feet

Width of the sunroom = 14 feet

The inequality:

2(x + 14) > 108

2x + 28 > 108

2x > 108 - 28

2x > 80

divide both sides by 2

x > 80 / 2

x > 40 feet

Therefore, the possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet

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Answer:

the first one (the one with more lines which is the centimeter (cm) one)

Step-by-step explanation:

Precision is when you know the exact measurement like 4.756

Accuracy is when your kind of close to the precise measurement like 4.75

Precision means exact and accuracy means close enough.

Assuming a regularly shaped rectangle, the formula for the area is given as:

A = L * W

where L and W are the length and width respectively

A = 3.6 x 10^2 miles * 2.8 x 10^2 miles

A = 100,800 square miles

or

A = 10.08 x 10^2 miles 

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Answer:

36x44 feet are the dimensions of the yard.

Step-by-step explanation:

Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.

i.e. scaling factor is 1/2 for one foot.

If real dimension is 1 foot, it is shown as 1/2 inch in blue print.

Using this we can find the real dimensions if given blue print dimensions.

The blueprint is a rectangle 18inches by 22 inches,

Hence real length of rectangle = 18(2) feet = 36 feet

Width of rectangle = 22(2) = 44 feet

i.e. the yard has dimensions as 36x44 feet.

Given:

Total shelves: 6

Books per shelve: 72

Total books = ?

Solution:

Total books: 6 * 72 = 432

                                                           Total books = 432

Given:

Fiction books = 1/3 of total books

Solution:

Nonfiction books = Total books - 1/3 of total books

                              =   432 - 1/3 * 432

                               = 432 - 166 = 266

                                           Non- fiction books = 266

4. The translation is considered an isometry or rigid motion. The figure's size, shape, area, etc has not changed. The only thing that changed is its position.

5. The rule stated means you shift the point 3 units to the right and 4 units up.

6. The rule would be (x,y) ---> (x-1, y-3) so we effectively subtract 1 from the x coordinate; subtract 3 from the y coordinate

7. Add 2 to the x coordinate to get x+2 = 2+2 = 4. Subtract 1 from they coordinate and we have 5-1 = 4. The point ends up at (4,4). Check out the attached image below.

The directional derivative of [tex]\(f(x, y, z) = z^3 - x^2y\) at \((-5, 5, 2)\)[/tex] in the direction of [tex]\(\mathbf{v} = \langle -3, 2, -4 \rangle\) is \(-248\).[/tex]

To find the directional derivative of [tex]\( f(x, y, z) = z^3 - x^2y \)[/tex] at the point [tex]\((x_0, y_0, z_0) = (-5, 5, 2)\)[/tex] in the direction of the vector[tex]\( \mathbf{v} = \langle -3, 2, -4 \rangle \),[/tex] we'll use the formula for the directional derivative:

[tex]\[ D_{\mathbf{v}} f = \nabla f \cdot \mathbf{v} \][/tex]

where [tex]\( \nabla f \)[/tex] is the gradient of  f  and [tex]\( \cdot \)[/tex] denotes the dot product.

First, let's find the gradient of  f :

[tex]\[ \nabla f = \left\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, \frac{\partial f}{\partial z} \right\rangle \][/tex]

Taking partial derivatives:

[tex]\[ \frac{\partial f}{\partial x} = -2xy \][/tex]

[tex]\[ \frac{\partial f}{\partial y} = -x^2 \][/tex]

[tex]\[ \frac{\partial f}{\partial z} = 3z^2 \][/tex]

Substituting the given point [tex]\((x_0, y_0, z_0) = (-5, 5, 2)\)[/tex] into these partial derivatives:

[tex]\[ \frac{\partial f}{\partial x} = -2(-5)(5) = 50 \][/tex]

[tex]\[ \frac{\partial f}{\partial y} = -(-5)^2 = -25 \][/tex]

[tex]\[ \frac{\partial f}{\partial z} = 3(2)^2 = 12 \][/tex]

So,[tex]\( \nabla f = \langle 50, -25, 12 \rangle \).[/tex]

Now, let's find the directional derivative using the dot product:

[tex]\[ D_{\mathbf{v}} f = \langle 50, -25, 12 \rangle \cdot \langle -3, 2, -4 \rangle \][/tex]

[tex]\[ D_{\mathbf{v}} f = (50)(-3) + (-25)(2) + (12)(-4) \][/tex]

[tex]\[ D_{\mathbf{v}} f = -150 - 50 - 48 \][/tex]

[tex]\[ D_{\mathbf{v}} f = -248 \][/tex]

Therefore, the directional derivative of  f  at the point (-5, 5, 2) in the direction of the vector[tex]\( \mathbf{v} = \langle -3, 2, -4 \rangle \) is \( -248 \).[/tex]

The Correct question is:

Find the directional derivative of f(x,y,z)=z^3−x^2y,f(x,y,z)=z3−x2y at the point (−5,5,2),(−5,5,2) in the direction of the vector v=⟨−3,2,−4⟩,v=⟨−3,2,−4⟩.

The answer would be the choice at the bottom right corner!

I'm positive the answer is correct! :)

9.5.....................

y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.

Therefore, the correct answer is:

C. y [25, 100]

Here,

To find the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10,

we need to determine the minimum and maximum values of the population during this period based on the graph.

From the graph, we can see that the population values are between approximately 25 and 100 (inclusive) during months 5 to 10.

The square brackets [ ] denote that the endpoints are included in the range.

so, we get,

y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.

Therefore, the correct answer is:

C. y [25, 100]

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For this one, look at the symbols inside each angle.  In math, the rounded edges inside of angles mean they are congruent.  So find which ones have the same amount of rounded edges and that would be your answer.

NKW ≅ UZE

put the corresponding angles in the middle.  Since the object you were comparing to had the one line as the middle point, then that is your middle as well.

Hope this helps! Comment with any questions you may have.

Answer:

[tex]\Delta UZE\cong \Delta NKW[/tex]

Step-by-step explanation:

We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.

We can see in triangle NKW and triangle UZE.

[tex]EZ\cong WK[/tex],

[tex]\angle ZEU\cong \angle KWN[/tex],

[tex]\angle UZE\cong \angle NKW[/tex].

Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, [tex]\Delta UZE\cong \Delta NKW[/tex] by Angle-Side-Angle congruence theorem.

x = ± 3√6

2x² - 6 = x² + 48 ( subtract x² from both sides )

x² - 6 = 48 ( add 6 to both sides )

x² = 54 ( take the square root of both sides )

x = ± √54 = ± 3√6

Answer

192 ft²

Explanation

The rooms measures 12 feet by 8 feet. So it is a rectangle.

The area of a rectangle = length × width

                                       = 12 × 8

                                       = 96 ft²

The area of one room is 96 ft². There are 2 similar rooms.

The area of the 2 rooms = 96 × 2

                                        = 192 ft²

[tex]-\dfrac{2}{5}x-9<\dfrac{9}{10}\qquad|\text{multiply both sides by 10}\\\\10\cdot\left(-\dfrac{2}{5}x\right)-10\cdot9<10\cdot\dfrac{9}{10}\\\\2(-2x)-90<9\qquad|\text{add 90 to both sides}\\\\-4x<99\qquad|\text{change the signs}\\\\4x>-99\qquad|\text{divide both sides by 4}\\\\x>-24.75[/tex]

Answer: 18 hundreds

Step-by-step explanation:

 9 x   200

= 9 x 2 x 100

=    18   x 100

=       1800  

aka: 18 hundreds

The ratio is 4:5

because 8 divided by 2 is 4

and 10 divided by 2 is 5

so the answer as said before is 4:5

I hope this helps :)

Answer:

Step-by-step explanation:

4 inches

Answer:

[tex]\frac{Gallons}{Feet^{2} }[/tex]

Step-by-step explanation:

We have been told that Luiza runs a lawn-mowing business she decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn and we are asked to determine an appropriate unit for Luiza's purpose.

Since we can represent rate of units as [tex]\frac{Dependent Variable}{Independent Variable}[/tex]

We can see that in this case dependent variable is amount of fuel used in lawn-mowing and area of lawn is independent variable.

We know that we can represent volume of fuel as gallons and area of lawn as square feet.  

Therefore, appropriate unit for Luiza's purpose is [tex]\frac{Gallons}{Feet^{2} }[/tex].

Answer:

L/KM^2

Step-by-step explanation:

The area of the field is obtained by multiplying length by width resulting 75,000 square meters. Converting this to square kilometers by dividing by 1,000,000 gives the area in square kilometers as 0.075 km².

To calculate the area of the rectangular field, we multiply the length by the width. Given that the length is 300 meters and the width is 250 meters, the area in square meters would be 300 meters * 250 meters = 75,000 square meters.

Keep in mind that 1 square kilometer (km²) is equivalent to 1,000,000 square meters (m²). So, to convert the area from square meters to square kilometers, we divide the area in square meters by 1,000,000. Therefore, the area of the field in square kilometers is 75,000 m² / 1,000,000 = 0.075 km².

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Lateral area = circumference of circular  end * length

=  pi * diameter * length

= 22 * pi * 9

= 198 pi

= 622.04 ft^2  answer   Its C

Answer: 60 Guppies.

Step-by-step explanation: If Ben has 3 times as much guppies as goldfish then it is 3 x 20 which = 60.

The answer would be B because since -8 is negative, you would flip its sign

its d. i know this ive done it before