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Lera25 [3.4K]
3 years ago
5

Find the ratio of m to n. 8n = 2m

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
8 0
1:4
You can put 2 into 8 four times
ololo11 [35]3 years ago
7 0
8n = 2m 
Divide both by 2
4n = m
4:1
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Monica [59]
Well put 34 units on the left vertically and 17 units on the bottom hoizontially... fill it up and count how many you have
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Jenna is making hamburgers. She puts sauce on every 2nd burger, pickles on every 3rd burger, and onions on every 5th burger.How
kotykmax [81]

Answer:

3

Step-by-step explanation:

find the lowest common multiple of 2, 3, and 5.

That is 30.

So every 30th burger will have all 3 condiments.

100/30 = 3 and 10 left over.

We only care about the 3

3 0
2 years ago
Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24
Zanzabum

We want to find a polynomial

<em>f(x)</em> = <em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em>

such that the roots of <em>f</em> are <em>x</em> = -3, <em>x</em> = -1, and <em>x</em> = 4, and <em>f(x)</em> takes on a value of -24 when <em>x</em> = -2.

The factor theorem for polynomials tells us that we can factorize <em>f(x)</em> as

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a</em> (<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4)

Expand the right side:

(<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4) = <em>x</em>³ - 13<em>x</em> - 12

So we have

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a x</em>³ - 13<em>a</em> <em>x</em> - 12<em>a</em>

<em />

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

<em>a</em> = <em>a</em> (of course)

<em>b</em> = 0 (there is no <em>x</em>² term on the right)

<em>c</em> = -13<em>a</em>

<em>d</em> = -12<em>a</em>

<em />

We also have that <em>f</em> (-2) = -24, which means

<em>f</em> (-2) = <em>a</em> (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6<em>a</em>

<em>a</em> = -4

which in turn tells us that <em>c</em> = 52 and <em>d</em> = 48.

So we found

<em>f(x)</em> = -4<em>x</em>³ + 52<em>x</em> + 48

4 0
2 years ago
20 POINTS!!!! PLEASE ANSWER ALL OF THEM CORRECTLY AND EXPLAIN WHY ITS THE ANSWER!
slavikrds [6]

Answer:

Step-by-step explanation: 4 ratio is bigger than 3

5 0
2 years ago
The sum of the first 150 negative integers is represented using the expression What is the sum of the first 150 negative integer
Kamila [148]

Answer:

C. -11,325

Step-by-step explanation:

  • To know the answer, is convenient to replace some values of "n" in the sum \sum_{(n=1)}^{150}[-1-(n-1)].
  • The result would appear after adding up every value of the expression \sum_{(n=1)}^{150}[-1-(n-1)] when n=1,2,3.....,150.
  • When n=1, the expression takes the value of (-1): [-1-(1-1)]= (-1)-0=-1.
  • When n=2, the expression takes the value of (-2): [-1-(2-1)]=-1-1=-2.
  • Following this way, for every n, we will obtain -n, then, the sum will be: -1-2-3-4-5-6-...-150. This sum can actually be expressed as \sum_{n=1}^{150}(-n), which is the result of solving the initial expression of the sum -1-(n-1)=-1-n+1=-n.
  • Finally, the sum of n=-1 to n=-150 equals -11,325.
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3 years ago
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