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xz_007 [3.2K]
3 years ago
15

A local maximum of the function f(x) occurs for which x-value?

Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

the highest f(x) value on the table is at -4 on the x column

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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions
Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector \vec{v} in some vector space \mathbb R^n we have

\vec{v} = \langle a,b\rangle

This is the component form. I don't like that way. It is probably used in high school, but

\vec{v} =  \begin{pmatrix} a\\ b\\ \end{pmatrix}

is preferable because the inner product on \mathbb R^n is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as \vec{v} = 2i+2j

4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

and the norm of \vec{u_1} is ||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}

and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}

\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)

3 0
3 years ago
Which two triangles are congruent? Complete the congruence statement.
shtirl [24]

Answer:

tsu and hgi

Step-by-step explanation:

8 0
3 years ago
Find the percent of decrease. Round to the nearest tenth, if necessary. from 49 ft to 22 ft
Marta_Voda [28]
Decrease = (original number - new number) / original number .....x 100
decrease = (49 - 22) / 49.....* 100 =
                    (27 / 49) * 100 =
                     2700 / 49 = 55% decrease
                   
4 0
3 years ago
Find all zeros for f(x)=x(5x-2)(x^2+1)
Svetach [21]
Factoring x2+5x-1

The first term is, x2 its coefficient is 1 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1 = -1

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is 5 .

-1 + 1 = 0

Conclusion : Trinomial can not be factored

Final result :

x2 + 5x - 1
This is what did but I not sure it's right?!
5 0
3 years ago
The equation y=1/3xis the boundary line for the inequality y>1/3x. Which sentence describes the graph of the inequality
Irina18 [472]
If th<span>e equation y=1/3x is the boundary line for the inequality y>1/3 x, then the solution set is illustrated by shading the area ABOVE the line y=(1/3)x.</span>
5 0
3 years ago
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