Write a recursive formula for the sequence

Mathematics

1 answer:

Over [174]4 years ago

3 0

Answer:

The answer is:O f(1) = 10, f(n) = f(n − 1) + 2, for n > 1

Step-by-step explanation:

f1=10 because the first number is 10. then f(n)=f(n-1)+2 for N because it goes up 2 every time.

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For Amy's cell phone plan, she pays $30 per month and $0.05 per text message. She wants to keep her bill under $60 per month. Wh

S_A_V [24]

Answer:

.05x + 30 < 60

Step-by-step explanation:

.05x + 30 < 60

.05 is the cost per text. Since we don't know how many text messages she sends, we have to use x to represent it. We know she pays $30 every month no matter what so, we can write .05x + 30. < means it has to be LESS than $60 NOT EQUAL TO, but less than.

I hope this helps you out!

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3 years ago

Which algebraic expression represents this phrase?

sergij07 [2.7K]

None. The product of 34 and the number of pounds is : 34 × p

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One angle in an obtuse isosceles triangle measures 40°. What are the measures of the other two angles?

Damm [24]

An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°.
$40^\circ + 40^\circ +x = 180^\circ \\
80^\circ + x=180^\circ \\
x=180^\circ - 80^\circ \\
x=100^\circ$
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3 years ago

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The graph of the line passes through the points (0,-2) and (6,0). What is the equation of the line?

valina [46]

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6}\implies \cfrac{2}{6}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=\cfrac{1}{3}(x-0) \\\\\\ y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2$

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3 years ago

During first semester the ratio of the number of students in art class to the number of students in gym class was 2:7. However t

elena-s [515]

5/4 = 75/g....cross multiply because this is a proportion
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g = 300/5
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1st semester....ratio was 2:7...added = 9
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gym: 7/9(135) = 945/9 = 105 <=== gym class had 105

4 0

3 years ago