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3 years ago

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

Mathematics

1 answer:

agasfer [191]3 years ago

7 0

Answer:

(0,5)

Step-by-step explanation:

If you plug in 0 in all the variables of x, f(x)=0+0+5

We know that f(x) is y...so y=5, while x=0

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The cone in the figure below has a volume of 722 cubic centimeters and a height of 6

azamat

Answer:

r = 10.72 cm

Step-by-step explanation:

h = 6 cm

Volume of cone = 722 cubic cm

$\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72$

4 0

2 years ago

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

After a lesson on exponents,Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000." She h

White raven [17]

Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000."

Tia made a mistake in her thinking. Exponent represents the number of zeros.

$10^4$ means we multiply 10 four times

$10^4= 10*10*10*10=10000$

For exponent 4, we put 4 zeros. So answer is 10,000.

6 0

3 years ago

Read 2 more answers

Given H = f(t) where H is the height in meters of an object and t is the time in

timama [110]

Answer:

Step-by-step explanation:

Well, since t = time in air, we already know that it traveled 2 seconds.

H = height in meters, and H = 18

So, after 2 seconds the object is 18m in the air

So, option D

4 0

9 months ago

Helppppppppppppppppppppp due in 2hrs <br><br> plz wacth for more questions

Harlamova29_29 [7]

Answer: 9 = 6t

how many t's are there in the model? there are 6 ts. 6t makes 9, so 9 is equal to 6t.

ps. the equation could also be 6t = 9 but its basically the same thing (:

7 0

3 years ago