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3 years ago

How do you do number 13

Mathematics

1 answer:

monitta3 years ago

7 0

Roots: ( -2/5 , 0 ) ( 1 , 0 )

Domain: x∈ R

Maximum: ( 3/10 , 49/ 20 )

Vertical intercept: ( 0 , 2 )

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A function f is described using the information f(x) = 5x+1

lakkis [162]

Answer:

i. 11

ii. 26

iii. 501

iv. 3.5

v. 5a+1

vi. 5k+6

b. x = 8

Step-by-step explanation:

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3 years ago

The ratio of athletes to non-athletes at bayside high school is 2 to 6. If there are 1200 non-athletes at school, how many athle

N76 [4]

Answer:

400

Step-by-step explanation:

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3 years ago

250tThe population of Sasquatch in Salt Lake County was modeled by the function P(t)wheret + 25t = 0 represents the year 1803. W

jeyben [28]

Solution

Given the population function to be;

$P(t)=\frac{250t}{t+25}$

When P(t) = 150

$\begin{gathered} \Rightarrow\frac{250t}{t+25}=150 \\ \\ \Rightarrow250t=150(t+25) \\ \\ \Rightarrow250t=150t+3750 \\ \\ \Rightarrow250t-150t=3750 \\ \\ \Rightarrow100t=3750 \\ \\ \Rightarrow t=37.5\approx38 \end{gathered}$

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5 0

1 year ago

Read 2 more answers

Find the slope of (0,1) and (2,7)

gavmur [86]

Slope is $\frac { y_{2} - y_{1}}{ x_{2} - x_{1}}$

if we plug in your coordinates we get:
$\frac { y_{2} - y_{1}}{ x_{2} - x_{1}} \\ \frac {7-1}{2-0} \\ \frac {6}{2} \\ 3$

Therefore, the slope of (0,1) and (2,7) is 3.

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3 years ago

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and