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Gelneren [198K]
3 years ago
15

If Y is directly proportional to X² and y=21 when x=2, find the value of y when X=4.

Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Step-by-step explanation:

it means y/x^2=k

when y=21, x=2; k is 21/4.

when x=4, k is y/16.

k=21/4=y/16.

the next step is easy to see, you can do it.

frozen [14]3 years ago
7 0
The value of y will probably be 4.
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Helen had $330 in her savings account when Vince opened a savings account with zero dollars.
Nastasia [14]

I think the answer is 30x+330>50x

Step-by-step explanation:

for the option A it was slightly changed,

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4 0
3 years ago
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
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3 0
3 years ago
I really need help with this. Can anyone help me please?
I am Lyosha [343]

Answer:

f(x)=(x-3)(x^2+4x+8)

Step-by-step explanation:

A polynomial function is given by the form:

f(x)=a(x-p)(x-q)...

Where a is the leading coefficient, and <em>p</em> and <em>q</em> are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

And our leading coefficient <em>a </em>= 1.

Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))

Simplify:

f(x)=(x-3)(x+2-2i)(x+2+2i)

Expand the second and third factors:

\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8    \end{aligned}

Therefore, our polynomial function of least degree and the given zeros will be:

f(x)=(x-3)(x^2+4x+8)

6 0
3 years ago
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QveST [7]

Answer:

18.52%

Step-by-step explanation:

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