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2 years ago

Please help! Due Friday

Mathematics

2 answers:

solmaris [256]2 years ago

5 0

For (-1,2) you go to the left one and up two.
For (-3,6) left three up six
For (4,8) right four and up eight

KiRa [710]2 years ago

3 0

Answer:

So for each point's numbers you have the x and the y. The first is the x, 2nd y in the parenthesis.

On the graph you start with the x axis, x in the middle is 0 to the left is the negative #'s and on the right: positive. Y axis is top positive, bottom negative! Now put the numbers on the axis' and then plot the points!

Hope this helps!!! :)

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What does it mean when we say that the tails of the normal curve are asymptotic to the x axis?

slava [35]

It means that the tails never actually *touch* the x-axis, but it gets infinitesimally close to it.

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3 years ago

Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If

Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers $\mathbb{Q}$

Step-by-step explanation:

An element $p$ of the set $H$ has the form

$p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}$

where $a_{0},a_{1},a_{2},a_{3},a_{4}$ are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

$p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}$

$\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}$

The properties that $H$ , together the operations of vector addition and scalar multiplication, must satisfy are:

Conmutativity
Associativity of addition and scalar multiplication
Additive Identity
Additive inverse
Multiplicative Identity
Distributive properties.

This is not difficult with the definitions given. The most important part is to show that $H$ has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that $\mathbb{Q}$ is a field, then it is closed under sum and multiplication.

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2 years ago

4 + 3r - 5r = -4r + 4

ioda

Answer:

r= 0

Step-by-step explanation:

Cancel equal terms on both sides of the equation:

= 3r - 5r = -4r

collect like terms

= -2r = -4r

move variable to left and change its sign

= -2r + 4r = 0

collect like terms

= 2r = 0

divide both sides of the equation by 2

r=0

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3 years ago

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Why isn't D the answer? Isn't it also positive and concave up?

ArbitrLikvidat [17]

Step-by-step explanation:

At d, f'(x) is increasing (concave up), but it is not positive. The tangent line at that point has a negative slope.

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3 years ago

Find the sum of the first 20 terms of the arithmetic series 0.5 + 1.1

exis [7]

Answer:

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Step-by-step explanation:

tell me if this isn't 20 terms

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3 years ago

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