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3 years ago

Which of the following expressions is written in scientific notation?

Mathematics

1 answer:

rosijanka [135]3 years ago

4 0

4.22*10^-3 is the correct answer

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Consider the quadratic function:

sdas [7]

Answer:

Step-by-step explanation:

I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:

$h=\frac{-b}{2a}$ and

$k=c-\frac{b^2}{4a}$

(Just a fun fact: Those expressions come from the quadratic formula that help us to factor a quadratic equation.)

Filling in for h:

$h=\frac{-(-8)}{2(1)}$ simplifies to

$h = \frac{8}{2}=4$

Filling in for k:

$k=-9-\frac{(-8)^2}{4(1)}$ which simplifies a bit to

$k=-9-\frac{64}{4}$ which simplifies a bit more to

$k=-9-16=-25$

The vertex, then, is (4, -25).

You would also find this if you completed the square. But again, I'm not sure how you're solving for the vertex in class.

8 0

3 years ago

Find the slope of a line through the points (-1,-9) and (4,-2).

sveticcg [70]

The answer is 7/5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

5 0

3 years ago

Read 2 more answers

Match each polynomial in standard form to its equivalent factored form.

GREYUIT [131]

Answer:

8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
x^3+8 ⇒ (x+2)(x^2−2x+4)

Step-by-step explanation:

The factoring of the sum of cubes is ...

a³ +b³ = (a +b)(a² -ab +b²)

1. a=2x, b=1

= (2x)³ + 1³

2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.

= (2x)(x³ +2³)

3. a=x, b=2

= x³ +2³

3 0

3 years ago

Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from

ikadub [295]

Now despite what you may think, 1:3 is not 1/3 in this situation, but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. In short, they want the point that is at the 1/4 mark from A to B.

Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:

$\frac{1}{4}\times \frac{4}{1}=\frac{4}{4}=1$

Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:

$\frac{1}{4}\times \frac{1}{1}=\frac{1}{4}$

Next, since from 1 to 5 you are increasing, add 1 to 1.

$1+1=2$

2 is the x-coordinate of the new point.

Next, since from 2 to 3 you are increasing, add 1/4 to 2.

$2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4}$

9/4 is the y-coordinate of the new point.

Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.

4 0

3 years ago

Geometry questions (Picture)

Dvinal [7]

Answer

The answer will be 56.4

Explanation

Hope this Helped

7 0

3 years ago