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Hitman42 [59]
2 years ago
12

What is the recursive formula for this geometric sequence? 4, -12, 36, -108, ...

Mathematics
2 answers:
mr Goodwill [35]2 years ago
6 0

Answer: C

\left \{ {{a_{1}=4 } \atop {a_{n}=a_{n-1}*(-3)  }} \right.

Step-by-step explanation:

The starting amount (a1) = 4

The rate is -3 because 4 * -3 = 12 and -12 and -12 * -3 = 36 etc.

Tasya [4]2 years ago
5 0

Answer: C.

Step-by-step explanation:

The first number is a positive 4, which is your a1. Then the geometric sequence goes to a negative implying that it is multiplied by a negative. So the a1 = 4 and it is being multiplied by a negative 3.

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Find the equation of the line that is parallel to x=5y-8 and pass through (6, -5) in slope intercept form
DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8     (original equation)

x+8=5y <u>(Addition Property of Equality)</u>

1/5x+8/5=y <u>(Division Property of Equality, </u><u>slope </u><u>of </u><u><em>original equation </em></u><u>is </u><u>1/5</u><u>)</u>

<u />

y-y1=m(x-x1)    <u>(point-slope formula)</u>

y-(-5))=1/5(x-(6)) <u>(plug in the slope that was found earlier and the point given in the question)</u>

y+5=1/5(x-6)

y+5=1/5x-6/5   (Distributive Property of Multiplication)   Note:  5 = 25/5

<u>y=1/5x-31/5</u> (Subtraction Property of Equality, and there's your answer)

<u>y=0.2x-6.2</u><em> </em>(This is the same answer, but written with decimals)

5 0
3 years ago
A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
lys-0071 [83]

Answer:   
 let x=rate of the rowing team in still water 
 x+4=rate of the rowing team with current 
 x-4=rate of the rowing team against current   
 travel time=distance/rate 
 .. 
 90%2F%28x%2B4%29=10%2F%28x-4%29 
 90x-360=10x+40 
 80x=400 
 x=5  rate of the rowing team in still water=5 mph

4 0
3 years ago
Which equation represents the polynomial function with zeros −1, 1, and 3 (multiplicity of 2), and a y-intercept of −18? (4 poin
Vlad [161]
Correct Answer:
3rd option is the correct answer

Solution:
The zeros of the polynomial are -1,1 and 3. The multiplicity of 3 is 2. So the polynomial can be expressed as:

y=a (x-3)^{2}(x-1)(x+1)

The y-intercept of the polynomial is -18. This means the polynomial passes through the point (0,-18). Therefore, y must be -18 when x = 0. Using these values of x and y in previous equation we get:

-18=a (0-3)^{2}(0-1)(0+1) \\  \\ &#10;-18=-9a \\  \\ &#10;a=2

The final equation of the polynomial becomes:

y=2 (x-3)^{2}(x-1)(x+1)

7 0
3 years ago
What is the correct term? Answer choices given
Ierofanga [76]
The answer is circumcenter because it has to do with triangles!

I hope this helped! Brainliest? :) -Raven❤️
6 0
3 years ago
2√72 + 5√242 what is the answer for this question please can u tell me the right answer​
Radda [10]

Answer:

67\sqrt{2}

Step-by-step explanation:

Assuming you require to simplify the expression.

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{72} = \sqrt{36(2)} = \sqrt{36} × \sqrt{2} = 6\sqrt{2}

\sqrt{242} = \sqrt{121(2)} = \sqrt{121} × \sqrt{2} = 11\sqrt{2}

Then

2\sqrt{72} + 5\sqrt{242}

= 2(6\sqrt{2} ) + 5(11\sqrt{2} )

= 12\sqrt{2} + 55\sqrt{2}

= 67\sqrt{2}

6 0
3 years ago
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