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2 years ago

Please help asap :((((

Mathematics

1 answer:

White raven [17]2 years ago

4 0

Answer: A

Step-by-step explanation:

Focus on what it is saying. It is saying that 5x IS LESS THAN OR EQUAL TO 15.

So we are looking for smaller numbers, that is, values of x, in order to make this statement true.

So on a number line we are looking for the left part shaded in.

Furthermore... notice that the sign has "or equal to". Thus the circle is going to be shaded in. The circle is not going to be open and empty. Through this we have eliminated answers B and C.

So the answer is A because— remember— the left side of the number line is shaded. It encompasses negative numbers. A negative number times 5 will definitely be less than 15.

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What is the explicit formula for this sequence?

ddd [48]

Answer:

$a_n=-7+4(n-1)$

$a_n=-7+(n-1)(4)$

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is $y-y_1=m(x-x_1)$ .

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form. So they are using (1,-7).

So let's put this into our point-slope form:

$y-(-7)=4(x-1)$

$y+7=4(x-1)$

Subtract 7 on both sides:

$y=-7+4(x-1)$

So your answer is

$a_n=-7+4(n-1)$

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