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3 years ago

Simplify the following polynomial expression. A. B. C. D. (5x^4-9x^3+7x-1)

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

The answer to the expression (5x^4-9x^3+7x-1) = -98

Step-by-step explanation:

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What is the multiple zero and multiplicity of f(x) = x3 + 10x2 + 25x?

elena-s [515]

Answer:

The multiple zero is $x=-5$ .

The multiplicity is 2

Step-by-step explanation:

The given function is

$f(x)=x^3+10x^2+25x$

To find the zero of this function, we equate it to zero.

$\Rightarrow x^3+10x^2+25x=0$

We factor to obtain;

$x(x^2+10x+25)=0$

Observe that; the expression within the parenthesis is a perfect square.

This implies that;

$x(x+5)^2=0$

This implies that;

Either $x=0$ or $(x+5)^2=0$

$(x+5)^2=0$ has a multiple zero which is

$x=-5$ and its multplicity is 2.

3 0

4 years ago

1/4 of what gets me to 45

gregori [183]

1/4 of 180 gets you the answer 45

4 0

3 years ago

No clue what to do. show all steps too please. thanks. HELP DUE NOW!!!

dangina [55]

An isosceles triangle has two equal sides.
a= one equal side
b=base

b+2a=35
a=b+4
b+ 2(b+4)=35
b+2b+8=35
3b+8=35
3b=27
b=9
a=13

4 0

3 years ago

Which point satisfies both ƒ(x) = 2x and g(x) = 3x?

siniylev [52]

Answer:

(0,0)

Step-by-step explanation:

If a point satisfies both functions, they must be equal to each other. Thus, we have:

$f(x)=g(x)$

$2x=3x$

The only x that satisfies this is 0.

Therefore, the y is also zero.

The point is (0,0).

Alternatively, you can also visualize the graphs. The only point where the graphs will touch is the origin point or (0,0).

4 0

3 years ago

Read 2 more answers

Find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

Vikki [24]

<h2 /><h2>Question:</h2>

find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

Required diagram :

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}$

<h3>Solution :</h3>

For a cylinder having a radius r and a height h ;

Volume Of Cylinder :

π r² .

Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .

Converting ;

1 m³ = 1 × 10⁶ cm³ .
> 1.54 × 10⁶ cm³ .
> 1540000 cm ³.
> π r² h = 1540000
> 22/7 × 70 × 70 × h = 1540000
> 22 × 10 × 70 h = 1540000
> 15400 h = 1540000
> h = 100 cm = 1 m.

The height of the cylinder is 100cm.=1m.

8 0

3 years ago