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kati45 [8]
3 years ago
14

Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms

in the simplified expression negative?
Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:

  • 4
  • 2

Step-by-step explanation:

  = x²(-3 +5) +y²(2 -3) +5xy -2y

  = 2x² -y² +5xy -2y

a) there are 4 terms in the simplified expression

b) 2 terms have negative coefficients (-y² and -2y)

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the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the resul
likoan [24]

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

n=(x+5)\times 10+x\times 1

n=10x+50+x

n=11x+50

Reversed number is:

x\times 10+(x+5)\times 1=10x+x+5

x\times 10+(x+5)\times 1=11x+5

If you subtract double the reversed number from it, the result is a fourth of the original number.

11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)

11x+50-22x-10=\dfrac{1}{4}(11x+50)

40-11x=\dfrac{1}{4}(11x+50)

Multiply both sides by 4.

160-44x=11x+50

160-50=11x+44x

110=55x

Divide both sides by 55.

\dfrac{110}{55}=x

2=x

The unit digit is 2. So, the tens digit is 2+5=7.

Therefore, the original number is 72.

6 0
2 years ago
8tbsp. 2tsp.<br> x 15<br> _________
uysha [10]
The answer is 130 tablespoons
3 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
s2008m [1.1K]

Answer: 912

===================================

Work Shown:

The starting term is a1 = 3. The common difference is d = 5 (since we add 5 to each term to get the next term). The nth term formula is

an = a1+d(n-1)

an = 3+5(n-1)

an = 3+5n-5

an = 5n-2

Plug n = 19 into the formula to find the 19th term

an = 5n-2

a19 = 5*19-2

a19 = 95-2

a19 = 93

Add the first and nineteenth terms (a1 = 3 and a19 = 93) to get a1+a19 = 3+93 = 96

Multiply this by n/2 = 19/2 = 9.5 to get the final answer

96*9.5 = 912

I used the formula

Sn = (n/2)*(a1 + an)

where you add the first term (a1) to the nth term (an), then multiply by n/2

-----------------

As a check, here are the 19 terms listed out and added up. We get 912 like expected.

3+8+13+18   +23+28+33+38    +43+48+53+58    +63+68+73+78   +83+88+93 = 912

There are 19 values being added up in that equation above. I used spaces to help group the values (groups of four; except the last group which is 3 values) so it's a bit more readable.

5 0
3 years ago
Read 2 more answers
Three hundred twenty-six thousandths of a pond what is the weight of the bag of fruit,in pounds,written in expanded
NeTakaya
Just break it down into simple numbers
7 0
3 years ago
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
garik1379 [7]
Y=9.25 because 5x0.3=1.5 you move constents to the right hand side and it becomes -1.5 then you do the rest and the answers is 9.25
8 0
3 years ago
Read 2 more answers
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