12 - (x+3) = 10 need the answer fast but i need it right
A) 3/8
B) 5/8
C) 1 3/8
D) 1 1/2
The portion of the pies Dakota’s family ate on Thanksgiving is 5/8. Therefore, option B is the correct answer.
The given pictures show the remaining slices in each pie in gray.
In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Number of slice ate in pumpkin pie = 2/8
Number of slice ate in pecan pie = 3/8
Total number of slice pie ate
= 2/8+3/8
= 5/8
The portion of the pies Dakota’s family ate on Thanksgiving is 5/8. Therefore, option B is the correct answer.
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9 is there in hundredth place of the given decimal number.
The given decimal number is 4.59.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
In the given decimal number 4.59, 9 is there in hundredth place
Therefore, 9 is there in hundredth place of the given decimal number.
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Answer:
Equation 3
Step-by-step explanation:
Lets see which of the functions has -2 as a zero root. We will go in order:
(1) (-2)^4 - 3(-2)^3 + 3(-2)^2 -3(-2) + 2 = 16 - 3(-8) + 3(4) + 6 +2 = 16 +24 +12 + 6 +2 =60 >0
So, (1) is wrong!
(2) (-2)^4 + 3(-2)^3 + 3(-2)^2 - 3(-2) - 2 = 16 - 24 + 12 + 6 - 2 =34 - 26 = 8 > 0
(2) is also wrong!
(3) (-2)^4 + 3(-2)^3 + 3(-2)^2 +3(-2) + 2 = 16 - 24 + 12 - 6 + 2 = 30 -30 = 0
The zero root x=-2 fits, what about x=-1?
(-1)^4 + 3(-1)^3 + 3(-1)^2 +3(-1) + 2 = 1 - 3 + 3 - 3 + 2 = 6 - 6 = 0
So, equation (3) fits both!
Finally, lets see (4):
(-2)^4 - 3(-2)^3 - 3(-2)^2 + 3(-2) + 2 = 16 + 24 - 12 - 6 + 2 = 42 - 18 = 24 > 0
So, (4) is also wrong.
Only equation 3 fits both zero roots!
The quartic function with x=-1 and x=-2 real roots is x^4+6x^3 +12x^2+12x+4. Quartic functions are polynomial functions of degree 4; quadratic equations resources also help understand the concept. In essence, finding roots of quartic functions follow the same logic as that of quadratic functions.
The subject matter pertains to quartic functions in mathematics. Quartic functions are polynomial functions with a degree of 4. From the question, the given zeros are x=-1 and x=-2, having multiplicity of 2 each (since there are only two real zeros). Thus, the quartic function with these zeros will be (x+1)^2*(x+2)^2. This can be expanded to x^4+6x^3 +12x^2+12x+4.
Exemplifying the relevance of The Solution of Quadratic Equations, normally known as second-order polynomials or quadratic functions, such equations can also be used to find zeros of the functions when set to equal zero. In this scenario, quartic functions are a degree higher, but the same principle applies in finding the roots when the equation is set equal to zero.
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Answer:
7.5
Step-by-step explanation:
The first term is 5 and the ratio is 1/3
The formula for the sum of an infinite geometric series is
S = a1 / (1-r )
S = 5 / (1- 1/3)
= 5 /(2/3)
= 5 * 3/2
= 15/2
= 7.5
The sum of an infinite geometric series, with a first term of 5 and a common ratio of 1/3, is 7.5.
The question is about finding the sum of an infinite geometric series. The sum of an infinite geometric series can be found using the formula: S = a1 / (1 - r), where 'a1' is the first term and 'r' is the common ratio.
In this case, a1 is 5 and r is 1/3. Substituting the provided values into the formula, we get: S = 5 / (1 - 1/3), which simplifies to: S = 5 / (2/3) = 7.5.
So, the sum of this infinite geometric series is 7.5.
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