MATHEMATICS HIGH SCHOOL

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

Answer 1

Answer:

f(x)= -99.4x + 198.8

f(1) = -99.4*1 + 198.8 = 99.4

f(2) = -99.4*2 + 198.8 = 0

f(3) = -99.4*3 + 198.8 = -99.4

f(4) = -99.4*4 + 198.8 = -198.8

Answer 2

Answer:

Answer: B

f(n+1)=f(n)-99.4, n 1

Step-by-step explanation:

The recursive formula can be written using the common difference.

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Luis skates 2/3 mile from his home to school. isabella skates 2/4 mile to get to school. who skates farther?

Answers

Luis. 2/3 as a decimal is 0.66666666 (you get the point) and 2/4 as a decimal is 0.5.
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Answer:

Step-by-step explanation:

For a trapezoid with a height of 7 centimeters and base lengths of 6 centimeters and 10 centimeters, the area is

Answers

$\bf \textit{area of a trapezoid}\n\n A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\n h=height\n[-0.5em] \hrulefill\n a=6\n b=10\n h=7 \end{cases}\implies A=\cfrac{7(6+10)}{2} \n\n\n A=\cfrac{7(16)}{2}\implies A=7(8)\implies A=56$

Answer:

Step-by-step explanation:

$A=(1)/(2) (b1+b2)h\n$

$A=(1)/(2) (6+10)7$

$A=(1)/(2) (16)7$

$A=8*7$

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How do solve for 2m2 +2m-12=0
This if quadratic formula

Answers

$2m^2 +2m-12=0 \ /:2\n \nm^2+m-6=0\n \nm^2+3m-2m-6=0\n \nm(m+3)-2(m+3)=0\n \n(m+3)(m-2)=0\n \nm+3=0\ \ \ \vee\ \ \ m-2=0\n \n.\ \ \ \ m=-3\ \ \ \ \ \ \ \ \ \ \ \ m=2$

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Answers

9,999,999,999,987 Of course, if 'numbers' with leading digits e.g. 0 000 087 654 321, and all zeros, are not counted as valid 'numbers' then there are 13 less possibilities. i.e. There are only 9,999,999,999,987 possibilities.

What is the cosine of 135 degrees?

Answers

$cos135^o=cos(90^o+45^o)=-sin45^o=-(\sqrt2)/(2)\n\nreduction\ formulas:\ cos(90^o+\alpha)=-sin\alpha$

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Which are equivalent expressions? Check all that are true. 12x + 24y = 12(x + 2y) 12x − 24y = 12(x − 2y) 12x − 24y = 12(x ÷ 2y) 12x ÷ 24y = 12(x ÷ 2y) 12x · 24y = 12(x · 2y)

Answers

Answer:

Step-by-step explanation:

12x + 24y = 12(x + 2y)

12x - 24y = 12(x - 2y)

12x/24y = 12(x/2y)

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