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3 years ago

Please answer the question below

Mathematics

1 answer:

Hatshy [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The maximum value occurs at gradient 0 (the stationary point).

In f this has a value (y) of 6.

In the equation example we have to differentiate:

dg(x)/dx = -x + 4

Gradient is 0 so 4 - x = 0 so x = 4

Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11

11 > 6 so g has greater maximum.

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How many lines of symmetry does a regular octagon have?

Lesechka [4]

Answer:

Step-by-step explanation:

An Equilateral Triangle (3 sides) has 3 Lines of Symmetry
A Regular Pentagon (5 sides) has 5 Lines of Symmetry
A Regular Hexagon (6 sides) has 6 Lines of Symmetry
A Regular Heptagon (7 sides) has 7 Lines of Symmetry
A Regular Octagon (8 sides) has 8 Lines of Symmetry

7 0

3 years ago

The sum of Veronika's and Kate's weight is 118 pounds. Veronika weighs 26 pounds more than Kate. How much do they weigh individu

Ray Of Light [21]

Answer:

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

Step-by-step explanation:

Let Veronika's weight = x

Let Kate's weight = y

The sum of Veronika's and Kate's weight is 118 pounds.

x + y = 118

Veronika weighs 26 pounds more than Kate.

x = y + 26

How much do they weigh individually?

We substitute y + 26 for x in Equation 1

x + y = 118

y + 26 + y = 118

26 + 2y = 118

2y = 118 - 26

2y = 92

y = 92/2

y = 46 pounds

x = y + 26

x = 46 + 26

x = 92 pounds

Hence,

Veronika's weight = 92 pounds

Kate's weight = 46 pounds

8 0

2 years ago

F(x)=x^2-1 <br> G(x)=x-1 <br> find (f+g)(10).

WARRIOR [948]

<h2>Adding Functions</h2><h3>Answer:</h3>

$(f +g)(10) = 108$

<h3>Step-by-step explanation:</h3>

Before we can solve for $(f +g)(10)$ , we need to know how $(f +g)(x)$ is defined.

$(f +g)(x) = f(x) +g(x) \\ (f +g)(x) = (x^2 -1) +(x -1) \\ (f +g)(x) = x^2 -1 +x -1 \\ (f +g)(x) = x^2 +x -2$

We can now solve for $(f +g)(10)$ :

$(f +g)(10) = (10)^2 +(10) -2 \\ (f +g)(10) = 100 +10 -2 \\ (f +g)(10) = 108$

6 0

3 years ago

Given AE = EC, for what value of x is quadrilateral ABCD a parallelogram?

34kurt

Answer:

Each side of the Rhombus is equal to 4x

6 0

3 years ago

Rotate point C(6,-3) 90 clockwise<br><br> PLEASE HELP

AleksandrR [38]

The answer is (-3, -6)

Step-by-step explanation:

turn the x into a y, and the y into a opposite x.

6 0

2 years ago

Please answer the question below ​

Please answer the question below