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ipn [44]
3 years ago
12

Which expression is equivalent to m2−13m−30?

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

m^2-13m-30=

(m-15)(m+2), or answer choice A.

You can confirm this by solving the other way and expanding the above expression:

(m-15)(m+2)=

m^2-15m+2m-30=

m^2-13m-30

Hope this helps!

You might be interested in
How many 3 digit numbers are possible when a) the leading digit cannot be zero and the number must be a multiple of 4?
guajiro [1.7K]

Step-by-step explanation:

I assume the digits can be repeated.

so, e.g. 555 is a valid number for this problem, right ?

that means we start with permutations with repetition :

n^r

n = the total number of items to pick from.

r = the number of items being picked per result.

we have 10 digits (0,1,2,3,4,5,6,7,8,9), and we pick 3 of them.

that gives us (with very little surprise, I hope)

10³ = 1000 different possible numbers from 000 to 999.

from these numbers we eliminate all with leading 0.

as we handled all digits the same way and with the same priority, there is the same amount of numbers for every digit in the leading position.

that means 1/10 of the total amount of numbers has a leading 0, or a leading 1, or a leading 2, ...

so, we need to subtract 1/10 × 1000 from 1000 :

1000 - 1000×1/10 = 1000 - 100 = 900

that would be the numbers 100 to 999.

and we have one more condition : the number must be a multiple of 4.

how many are there ?

well, that's the funny thing about numbers : from all numbers 1/2 of them are multiples of 2 (or divisible by 2), 1/3 of them are multiples of 3 (or divisible by 3), and ... you guessed it, 1/4 of them are multiples of 4 (or divisible by 4). and so on.

and so, 1/4 of our 900 numbers are multiples of 4 :

1/4 × 900 = 225

so, there are 225 possible 3-digit numbers that are multiples of 4 and do not start with a 0.

6 0
2 years ago
Which answer is a graph for the inequality x>2
seropon [69]
Show me the answers, then i'll help
6 0
3 years ago
Help pls what's the common difference
horsena [70]

<u><em>Answer: </em></u>

#9: 5

#10: -2

#11: -1.5

<em><u>Step-by-step explanation:</u></em>

<em><u>#9:</u></em> 3,8,13,18,23,(28),(33),(38),.. <em>Go up by 5 each time, so the common difference is </em><u><em>5</em></u><em>.</em>

<u><em>#10:</em></u> 11,9,7,5,3,(1),(-1),(-3),... <em>Go down </em><em>(-)</em><em> by 2 each time, so the common difference is </em><u><em>-2</em></u><em>.</em>

<u><em>#11:</em></u> 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... <em>Go down </em><em>(-) </em><em>by 1.5 each time, so the common difference is </em><u><em>-1.5</em></u><em>.</em>

7 0
3 years ago
Write down in terms of n an expression for the nth term of the following sequences 9 11 13 15 17
zvonat [6]

Answer:

2n+7

Step-by-step explanation:

 +2  +2  +2  +2

9     11  13  15  17  so we start with 2n

2 ➡ 9 = +7   6 ➡ 13 = +7

4 ➡ 11 = +7   8 ➡ 15 = +7

So the answer is 2n + 7

5 0
3 years ago
1. A chord is 22 cm long. It is 60 cm from the center of the circle.
mezya [45]

Answer:

Radius, r = 61 cm

Step-by-step explanation:

According to the attached figure, we have,

Length of chord, AB = 22 cm

Such that, AP = PB = 11 cm

OP = 60 cm

It is required to find the radius of the circle. We know that radius of a circle is perpendicular to chord. So, APO forms a right angled triangle. Using Pythagoras theorem to find the radius of circle. Let it is r. So,

r^2=60^2+11^2\\\\r=61\ cm

So, the radius of the circle is 61 cm.

3 0
3 years ago
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