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3 years ago

F(x) = x ^ 2 + 5x + 6

Mathematics

1 answer:

yaroslaw [1]3 years ago

3 0

A)306

b)-294

this is the answer to the two questions on the provided picture

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Which function represents the number of seconds, s, in d days? (Hint: The number seconds in a day is 24 × 60 × 60 = 86,400.)

vaieri [72.5K]

<em>f(d)=86,400·d</em>
if you set 1 day (d=1) you get f(1)=86,400 sec
if you set 1 day (d=2) you get f(2)=172,800 sec
...etc.

5 0

3 years ago

The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please

Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

$S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx$

We let the substitution take place.

Therefore, we let $u = 1 + 4x^{2}$

Thus, $du = 8dx.$

So,

$xdx = \frac{1}{8}du$

Also, the interval of the integration changes to [ 37, 65]

Thus,

$S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx$

= $\frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} } }$

= 156.5 units²

8 0

3 years ago

Find the sum of the first six terms of a geometric series in which a1 = 4 and r = -3: A. 729 B. -729 C. -728 D. 728 plz help

natta225 [31]

Answer:

Step-by-step explanation:

The sum to n terms of a geometric sequence is

$S_{n}$ = $\frac{a_{1}(r^n-1) }{r-1}$

Here a₁ = 4 and r = - 3, thus

$S_{6}$ = $\frac{4((-3)^6-1)}{-3-1}$

= $\frac{4(729-1)}{-4}$ = - (729 - 1) = - 728 → C

6 0

3 years ago

How do i find the proportionality of r

Paha777 [63]

Since the graph is a linear function, we're going to use the slope formula solve this:

Note I am replacing m with k
$k= \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$

Inserting 2 points from the graph, let's use (1,8) and (2,16).

$\frac{16-8}{2-1}

$

k=8

3 0

3 years ago

A set of golf clubs that costs 7,000 dirhems are on sale for 20% off the regular price. What is the sale price of the

hammer [34]

Answer:

The answer is $1400.

Step-by-step explanation:

The main question here is, what is the sale price of the golf clubs?

1. Let's compute for 20% of 7,000.

20%×7000
20/100×7000
20×70
1400

<h2>You should get 1400.</h2>

Hope this helps and if you could mark this as brainliest. Thanks!

7 0

3 years ago