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2 years ago

0.000328 in scientific notation.

1 answer:

4 0

Move the decimal place enough to the right to create 3.28. This takes 4 movements, which would be $10^-4$ . Expressions less than 1 have a negative power when put into scientific notation.
From there, put it into the right form:
$3.28 * 10^{-4}$

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What is the sign of f on the interval -2

TEA [102]

Answer:

$f$ is sometimes positive and sometimes negative.

Step-by-step explanation:

$f(x)=(x-3)(x+2)(x+4)(x+4)(x-1)(2x-9)$

Take $x=-1\in(-2,\frac{9}{2})\ as-2$

$f(-1)=(-1-3)(-1+2)(-1+4)(-1-1)(-2-9)\\\\=(-4)(1)(3)(-2)(-11)\\\\=-264\\\\f(-1)$

Take $x=2\in(-2,\frac{9}{2})\ as\ -2$

$f(2)=(2,-3)(2+2)(2+4)(2-1)(2\times2-9)\\\\=(-1)(4)(6)(1)(-5)\\\\=120\\\\f(2)>0$

Hence $f(x)$ for $x=-1$ and $f(x)>0$ for $x=2$

So $f$ is sometimes positive and sometimes negative in the interval.

3 0

3 years ago

How do you solve this ???

galina1969 [7]

First you have to figure out how much a video game costs and how much a used one costs
Then you plug in the costs of the video games into Janets equation 120=3x+y
(x= video games and y=used video games)
Then you subtract the cost of video games from 120 and then divide that answer by the cost of used video games and that should give you how many used video games she can get

3 0

3 years ago

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

ipn [44]

Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

3 0

3 years ago

Simplify this algebraic expression completely. 5y - 3(y+ 2)

aliya0001 [1]

Answer:

2y -6

Step-by-step explanation:

5y - 3(y+ 2)

Distribute

5y -3y -6

Combine like terms

2y -6

4 0

2 years ago

Find the m<bac, if m<dec= 58 and m<edc =43 a. 43 b. 58 c. 79 d. 101

mamaluj [8]

We are looking to figure out the size of m<CAB
Since line AB is parallel to the line CD, m<CAB corresponds to m<ECD which means the size of the angles equals
m<ECD can be found by using the fact that angles in a triangle add up to 180°,
hence, 180°-58°-43°=79°

The size of m<CAB is 79°

5 0

3 years ago

Read 2 more answers