In the sequence 50 45 40 35 what is the 41th term

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

-150

Step-by-step explanation:

If you do an= a+(n-1)d a(n) being similar to f(x) just a different variable. Where a(41)= 50+(41-1)(-5) i would say the 41st term in the sequence is -150 because the sequence is going down, I'm not positive, but I know the formula is right. a is the term similarly to f, n is similar to x it is the number of the term, and d is the constant which in this case is -5.

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Which equation has the steepest parabola?

ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

$(y-k)=n(x-h)^2$

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

$\dfrac{1}{n}(y-k)=(x-h)^2$

$p(y-k)=(x-h)^2$

where $p=\dfrac{1}{n}$ , the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, $|-0.5|=0.5$

For option B, $|5|=5$

For option C, $|8|=8$

For option D, $|-10|=10$

Since, the equation is option A has smallest value of |p|, therefore, the equation $(x+2)^2=-0.5(y+3)$ represents the steepest parabola.

Hence, the correct option is A.

7 0

3 years ago

V / -0.8 +14=39 plssss help this is literally so hard

Nat2105 [25]

<h2><u>Answer:</u></h2><h2> $\boxed{\boxed{\sf~v=-20}}$ </h2><h2 /><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) Subtract 14 from both sides:</h3>

$14-14=$ Cancels Out

$39-14=25$

<em> - We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see. </em>

<u>Equation at the end of Step 1: </u>