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2 years ago

True or False?

1 answer:

6 0

In a situation where x is a nontrivial solution, then every entry in x should not be nonzero. Therefore, it's false.

<h3>What is a nontrivial solution?</h3>

A nontrivial solution simply means a system of equation where the determinant of the coefficient is zero. When x is a nontrivial solution of Ax = 0, then at least one entry should be nonzero.

The equation x= x2u + x3v, with x2 and x3 free (and neither u nor v a multiple of the other), describes a plane through the origin. This is true. Since they're free variables, the space span has dimensions and this spans through the origin.

The equation Ax = b is homogeneous if the zero vector is a solution. Since x = 0 is a solution. Therefore, Ax = b. Hence, b = 0.

The effect of adding p to a vector is to move the vector in a direction parallel to p. It should be noted that adding p to a vector moves it in a direction that's parallel.

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SOMEONE ANWSER QUICK !

xenn [34]

Answer:

I think that the answer would be C because you have to multiply the term at the top. This would mean you would not do C. Sorry if this is wrong. At least you have your eliminating process now. lol so doing C is out of the box, which makes C your answer.

Step-by-step explanation:

6 0

3 years ago

A parabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?

KiRa [710]

Here we are given the x intercepts at x=3 and x=9

So let us try to make quadratic equation for this using given information.

We have factors in the form (x-a)(x-b)

where a and b are x intercepts given to us.

So rewriting in factored form:

$y=(x-3)(x-9)$

Now let us simplify it:

$y=x^{2}-12x+27$

Let us find the vertex now,

For a quadratic equation of the form:

$y=ax^{2}+bx+c$

For x coordinate , we have the formula,

$x=\frac{-b}{2a}$

So using this formula for our equation,

$x=\frac{-(-12)}{2(1)}$

So x = 6

Answer: The x-coordinate of the parabola's vertex is 6.

7 0

3 years ago

Read 2 more answers

A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 1

Nadya [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

Annual sales (Y) :

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

4 0

3 years ago

How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

8 0

3 years ago

Look at this picture and help me out please

Rainbow [258]

your answer is a ok i hope this helpful

4 0

3 years ago

Read 2 more answers