6. Find both solutions by factoring ): 3x^2 + 10x + 7 = 0

How express the ratio in simplest form: 85 out of 102

kodGreya [7K]

5:6
The fraction 85/102 goes to 5/6 so it is 5:6 or 5/6...

3 0

2 years ago

Find the number of ways to listen to four CDs from a selection of 8 CDs. A) 1680 B) 336 C) 70 D) 50 pls aslo explain why..

777dan777 [17]

Answer:

a) 1680

The number of ways to listen to four CDs from a selection of 8 CDs = 1680

Step-by-step explanation:

Explanation:-

Given data the number of CD' s n = 8

We have to selected '4' CD' s from total '8' CD's

By using permutations

The number of ways to listen to four CDs from a selection of 8 CDs.

= $8_{P_{4} }$

we know that

$n_{P_{r} } = \frac{n!}{(n-r)!}$

$8_{P_{4} } = \frac{8!}{(8-4)!} = \frac{8 X 7 X 6 x 5 X 4!}{4!} = 1680$

The number of ways to listen to four CDs from a selection of 8 CDs = 1680

7 0

2 years ago

I need help with this as soon as possible!

Kay [80]

Answer:

1. -3/6 is negative, because it descends by 3 and goes over by 6.

2. My first answer literally gives the keyword negative, therefore it's a negative line because it has a negative slope.

1. -8/0 is undefined, because there is a rise but there is no run, which also means that it's a:

2. vertical line

1. -5/-10 simplifies to 5/10 or 1/2, which is positive because it rises by 5(or 1) and runs over by 10(or 2).

2. Thus, this means that it's a positive line since it has a positive slope.

1. 0/-2 is zero, because when you actually solve the equation it'll equal 0.

2. This means that it'll have a horizontal line since there is no rise but there is a run only.

8 0

1 year ago

A corporate attorney has weekends off and has 30 paid vacation days per year, including holidays that fall on weekdays. If his s

snow_tiger [21]

It's slightly ambiguous because the year isn't an even number of weeks, so sometimes that extra day falls on a weekend and sometimes on a weekday. We'll assume a weekend; that makes the numbers come out nice.

Total working days, 52 five day weeks minus 30 days vacation

$d = 52 \times 5 - 30 = 230$

So his daily rate is

$119600/230 = 520$ dollars per day

Answer: A

It's closer to $518 when we count the extra day as a weekday.

3 0

2 years ago

And, S2

dangina [55]

Correct Question

In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?

$\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right$

Answer:

L=7

Step-by-step explanation:

From the first row: 2J+K=5

Therefore: K=5-2J

From the second column, 2K+J=7

Substitute K derived above into 2K+J=7

2K+J=7

2(5-2J)+J=7

10-4J+J=7

-3J=7-10

-3J=-3

J=1

Recall: K=5-2J

K=5-2(1)=3

K=3

From the third column, J+2L=15

1+2L=15

2L=15-1=14

L=7

Therefore, the value of L=7

CHECK:

$\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right$

4 0

2 years ago