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3 years ago

I have 30 ones,82 thousands,4 hundred thousands,60 tens,and 100 hundreds what am i

Mathematics

1 answer:

valkas [14]3 years ago

6 0

Answer:

482190

Step-by-step explanation:

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F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2) I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

Given function:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find a, compare the coefficients of x³:

$\implies a=3$

To find b, substitute the found value of a into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find c, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

Zero Product Property

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

3 0

1 year ago

Please help. Is algebra.

lara [203]

Answer:

1) 0

2) -6

Step-by-step explanation:

Any number to the ⁰th power is 1.

A negative exponent flips the fraction.

4 0

3 years ago

The question is below (Giving Brainliest)

WITCHER [35]

Answer:

Hiya there!

Step-by-step explanation:

I'm pretty sure that its 80.

3 0

3 years ago

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b) The volume of a cuboid is 200 m². Its length and height are 10 m and 5 m respectively. Need it fast

Ratling [72]

Bad question. Volume is cubic units, not square units.

6 0

3 years ago

Can someone help ASAP !!

Olin [163]

Answer:

I can't help.

Step-by-step explanation:

There is no question, so therefore, I can not help.

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3 years ago

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