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Ira Lisetskai [31]
4 years ago
11

Counting numbers are to be formed using only the digits 9, 3, 5, 8, 7, 6, 4, and 1. Determine the number of different possibilit

ies for​ two-digit numbers.
Mathematics
1 answer:
natulia [17]4 years ago
7 0

Answer:

64.

Step-by-step explanation:

There are 8 digits in the list.

This will be the number of permutations of 2 from 8 plus the duplicate numbers 11, 22 etc.

So we have 8P2 + 8 possibilities.

= 8! / (8-2)! + 8

= 56 + 8

= 64.

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Solve using the quadratic equation -4x² + 7x + 5 = 0​
Luda [366]

Answer:

x=-0.544727

x=2.294727

Step-by-step explanation:

Given quadratic equation to solve:

  • -4x²+7x+5=0

To solve, use the quadratic formula

x= -b ±  b² - 4ac / 2a

Substitute your values for a, b, & c and solve

x= -7 ± 7² - 4·(-4)·5 / 2·(-4)

x= -7 ± 49 - -80/-8

x= -7 ± 129/-8

Then, reduce the problem

x= -7/-8 ± 129/-8

x=-0.544727

x=2.294727

4 0
2 years ago
Write an absolute value equation to satisfy the given solution set shown on a number line.
aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI  ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

8 0
4 years ago
5-x&lt;8;x=-3 how do you solve that?
Sergio [31]
Make sure you substitute x for 3

The equation would be:

5-3<8

Subtract 3

2<8

The statement is true
8 0
3 years ago
A line that includes the point (7, -2) has a slope of 1. What is its equation in slope-intercept
kompoz [17]

Answer:

Y = x - 9

Step-by-step explanation:

A slope of 1 = x

So we have

Y = x

To find y intercept we do

7 - (-2) = 9

So we have a y-intercept of 9

Y = x - 9

6 0
3 years ago
a local little League has a total of 60 players of whom 20%are left handed .how many left handed players are there?​
valentinak56 [21]

Answer:

Step-by-step explanation:

left handed players : 20% of 60

turn ur percent to a decimal...." of " means multiply

0.20 * 60 = 12 are left handed

7 0
4 years ago
Read 2 more answers
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