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3 years ago

I need help with this question

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Answer:

f(g(4)) = 5

Step-by-step explanation:

Recall that to find f(g(4)), we need to first find g(4) which we find via the given table:

g(4) = 0

and then use the graph to find f(0) = 5

Then f(g(4)) = 5

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What is 3.0871212 in fraction

Luda [366]

3 217803/2500000 is 3.0871212 as a fraction

4 0

3 years ago

Can anyone help me with this please!!

Levart [38]

Answer:

22.88 cm^3

Step-by-step explanation:

The volume of a sphere formula is (4/3)*pi * (radius)^3

Since the diameter is 5.08cm, we divide by 2 to find the radius which is 2.54 cm.

Also because of the fact that 2/3 is showing outside the cone, that means 1/3 is inside the cone. Therefore, we have to multiply the volume by 1/3.

We have:

Volume = (4/3) * pi * (2.54)^3 * (1/3)

= 22.88 cm^3

4 0

3 years ago

Each package of pens contains 3 pens. How is the number of pens related to the number of packages?

yuradex [85]

Answer: The correct option is (C) Packages x 3 = Pens

Step-by-step explanation: Given that each package of pens contains 3 pens.

We are to choose the correct mathematical relation between number of pens and number of packages.

Let, n represents the number of pens and N represents the number of packages.

Then, according to the given information, we have

$n\times 3=N\\\\\Rightarrow \textup{Packages}\times 3=\textup{Pens}.$

Thus, the correct relation is

Packages x 3 = Pens.

Option (C) is CORRECT.

6 0

3 years ago

Find the polynomial of minimum degree, with real coefficients, zeros at

drek231 [11]

Answer:

$\huge\boxed{p(x)=4x^3-20x^2+4x+300}$

Step-by-step explanation:

$\text{If}\ x=4\pm3i\ \text{and}\ x=-3\ \text{are the zeros of a polynomial, then it has a form:}\\\\p(x)=\bigg(x-(4-3i)\bigg)\bigg(x-(4+3i)\bigg)\bigg(x-(-3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x-4+3i)(x-4-3i)(x+3)\bigg(r(x)\bigg)\\\\p(x)=\underbrace{\bigg((x-4)+3i\bigg)\bigg((x-4)-3i\bigg)}_{\text{use}\ (a+b)(a-b)=a^2-b^2}(x+3)\bigg(r(x)\bigg)\\\\p(x)=\bigg((x-4)^2-(3i)^2\bigg)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$p(x)=(x^2-2(x)(4)+4^2-3^2i^2)(x+3)\bigg(r(x)\bigg)\qquad\text{use}\ i^2=-1\\\\p(x)=(x^2-8x+16-9(-1))(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+16+9)(x+3)\bigg(r(x)\bigg)\\\\p(x)=(x^2-8x+25)(x+3)\bigg(r(x)\bigg)\qquad\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\p(x)=\bigg((x^2)(x)+(x^2)(3)+(-8x)(x)+(-8x)(3)+(25)(x)+(25)(3)\bigg)\bigg(r(x)\bigg)\\\\p(x)=(x^3+3x^2-8x^2-24x+25x+75)\bigg(r(x)\bigg)\qquad\text{combine like terms}\\\\p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)$

$\text{The y-intercept is at 300}.\\\\\text{For}\ w(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+...+a_1x+a_0\\\\\text{y-intercept is}\ a_0\\\\\text{Therefore for}\ p(x)=(x^3-5x^2+x+75)\bigg(r(x)\bigg)\\\\\text{y-intercet is}\ 75\bigg(r(x)\bigg)\\\\75\bigg(r(x)\bigg)=300\qquad\text{divide both sides by 75}\\\\r(x)=4\\\\\text{Finally:}\\\\p(x)=(x^3-5x^2+x+75)(4)\qquad\text{use the distributive property}\\\\p(x)=(x^3)(4)+(-5x^2)(4)+(x)(4)+(75)(4)\\\\p(x)=4x^3-20x^2+4x+300$

7 0

3 years ago

Please help !! what’s the answer? i don’t understand !!

dedylja [7]

Answer:

992

Step-by-step explanation:

You must convert the meter the kilometer by miltiplying by 1000

and when you do it you must multiply 0.992 by 1000 since it is a fraction .

or you can work it this way :

0.992⇒1m
x(the new rate) ⇒1000m
x= 0.992*1000= 992

7 0

3 years ago

I need help with this question​

I need help with this question