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Masja [62]
3 years ago
6

The Difference between two numbers is 22. The sum of the same two numbers is 78. What are the two numbers?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

50 and 28

Step-by-step explanation:

x+y=78

x-y=22

to find this, subtract 22 from 78 to get 56

divide 56 by 2 to get 28

y=28

add 22 to 28 to get 50

x=50

to double check add 50 and 28 to get 78

also subtract 28 from 50 to get 22

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There were 16 sandwiches on a tray for a lunch meeting. After the meeting, 3 were left. How many sandwiches were eaten?
kifflom [539]

Answer:

13

Step-by-step explanation:

16-3+= 13

6 0
3 years ago
2. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i and 2-2i.
inna [77]

The polynomial equation for the given roots is x³-7x²+20x-24=0.

Given that, the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i.

Now, we need to write the polynomial equation.

<h3>What is a polynomial equation? </h3>

A polynomial equation is an equation where a polynomial is set equal to zero. i.e., it is an equation formed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It has different exponents. The highest one gives the degree of the equation. For an equation to be a polynomial equation, the variable in it should have only non-negative integer exponents. i.e., the exponents of variables should be only non-negative and they should neither be negative nor be fractions.

Now, x=3, x=2+2i and x=2-2i

x-3, x-2-2i and x-2+2i

So, the polynomial equation is (x-3)(x-2-2i)(x-2+2i)=0

⇒(x-3)(x(x-2-2i)-2(x-2-2i)+2i(x-2-2i))=0

⇒(x-3)(x²-2x-2xi-2x+4+4i+2xi-4i-4i²)=0

⇒(x-3)(x²-2x-2x+4-4i²)=0

⇒(x-3)(x²-4x+4+4)=0 (∵i²=-1)

⇒(x-3)(x²-4x+8)=0

⇒x(x²-4x+8)-3(x²-4x+8)=0

⇒x³-4x²+8x-3x²+12x-24=0

⇒x³-7x²+20x-24=0

Therefore, the polynomial equation for the given roots is x³-7x²+20x-24=0.

To learn more about the polynomial equation visit:

brainly.com/question/20630027.

#SPJ1

3 0
1 year ago
Can someone help me pls
algol [13]

Answer:

from least to greatest 112 121 124 137 147 156 173 189

Step-by-step explanation:

if you subtract each number from a number that is greater than all the numbers for example 200 then what ever has the most left will be greatest and least will be least for example 121 - 200 is negative 79 and 189 - 200 is negative 11 negative 11 is higher so its a greater number there is also easier ways to do this but this is just extra

8 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!! i’ll mark brainlest
lesya692 [45]

Answer:

b, c, and f

just divide 24/30 and youll arrive at .8! .8 is also the same as 8/10 and 80%

5 0
2 years ago
Find the area of the triangle <br> 19cm<br> 15cm<br> 12cm
777dan777 [17]

Answer:

Step-by-step explanation:

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2 years ago
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