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Sever21 [200]
3 years ago
9

Which function describes the arithmetic sequence shown? 1, 7, 13, 19, 25, 31, ...

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

a(n) = a(1) + 6(n -1)

Step-by-step explanation:

The common difference here is 6.  1 + 6 = 7; 13 + 6 = 19; and so on.

Thus, the function in question is a(n) = a(1) + 6(n -1).

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A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which
exis [7]
The cat travels 0.7 times as far as the dog on each stride, but it takes 1.3 times as many strides in a given time interval. Hence the cat's distance relative to the dog's is 0.7*1.3 = 0.91. This is less distance than the 1 unit the dog covers in the same time.

The dog will win the race.
3 0
3 years ago
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Find the slope of a line perpendicular to each given line.<br><br> 7) y = 5/2x - 3
yulyashka [42]

Answer:y= -2/5x-3

Step-by-step explanation:

It's actually pretty simple, all you gotta do is flip the fraction around so if it is 5/2x now is 2/5, and then change the sign, since it was positive now it's negative

4 0
2 years ago
In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
What is a equivalent fraction and decimal to 3 ones and 7 hundreths
nasty-shy [4]
3 ones = 3
7 hundredths = 7/100

So equivalent fraction is 3 7/100 or 307/100.
Equivalent decimal is: 3.07
4 0
3 years ago
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Given the volume of a sphere is 268.1cm^3, what is she surface area?
EastWind [94]
SA=201.7cm^2 
I used the equation 
SA=pi^1/3(6*V)^2/3 in case you have any more questions like this 
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3 years ago
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