Simplify (x^2+5x+1)(x^2+x+3)
Answers
x^4 + x^3 + 3x^2 + 5x^3 + 5x^2 + 3
Now, we combine the like terms, so:
x^4 + 6x^3 + 8x^2 + 3
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Answers
So 19
= 373/5 + 59/3
= ((373 × 3) + (59 × 5)) / (5 × 3)
= (1119 + 295) / 15
= 1414/15
= 1414/15
= 94 4/15
74+19= 93
for 3/5+2/3 we need a common denominator which in this case would be 15 (the product of the two already existing denominators)
3x3=9 (the 3s are first numerator and the second denominator) so the first fraction is 9/15
5x2=10 (the first denominator and the second numerator) so the second fraction would be 10/15
9+10=19 (the numerators in both fractions) so it's 19/15 which we convert to a mixed numeral which is 1 4/15
93+1 4/15=94 4/15
hope this helps :)
Answers
Answer:
10
Step-by-step explanation:
How you find LCD (lowest common denominator) is that you have to look at the denominator (the bottom number) and try to find the lowest multiple between both of the numbers that is on the bottom (in this case it is 2 and 5). Sometimes you have to multiply both denominators together to get a LCD.
Example of multiplying two denominators together to get an LCD:
1/3 and 1/13 LCD is 39 because you multiply 3 and 13.
1/5 and 1/4 LCD is 20 because you multiply 5 and 4.
Answers
20,000 = 15,000 (1.072)^t
Divide each side by 15,000 : 4/3 = (1.072)^t
Take the log of each side: log(4/3) = t log(1.072)
Divide each side by log(1.072): t = log(4/3) / log(1.072)
0.12494 / 0.03019 = 4.138 (rounded)
What is the height of the trapezoid?
Answers
The area of the trapezoid is given by the formula A= (a+b)/ 2 * h
in this question a= 8, b= 10, A= 108 inches², and h is what we have to find, substitute what we have got into the formula and you will have:
108= (8+10) /2 *h
108= 9 *h
h= 108/9
h= 12 inches
so 108=8+10/2 x h 8+10 divided by 2 equals 9 so now we have 108=9 x h
now we must divide both sides by 9 to solve for the height 108/9 equals 12 so the height of the trapezoid is 12
Answers
Answer:
The required equation is .
Step-by-step explanation:
We are given,
The table showing the boiling points of water at different altitudes.
We will find the slope of the equation using .
Taking points (0,212) and (0.5,211.1) and substituting in the formula,
Slope is
i.e. Slope is
i.e. Slope is -1.8
Substituting slope and the point (0,212) in the equation , we will find the value of y-intercept 'b'.
That is, i.e. b= 212
Thus, the required equation is.
Answers
y+6x=80
I think these are the two equations that should be used to solve for 'y' and 'x'!!
Answer:
y = 12x + 8y
Step-by-step explanation: