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rosijanka [135]

3 years ago

8

Please help me with this thanks please let me know if my answer is incorrect

1 answer:

sergey [27]3 years ago

5 0

I just graphed the table next to the graph of g and compared the two.

The y-intercept of f is (0,8) and the y-intercept of g is (0, -2). So f is GREATER THAN the y-intercept of g.

Now to do the average rate of change, I see from the interval [-6,-3] that f is decreasing and for g it is increasing. Thus f is LESS THAN the average rate of change of g.

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Please help me out and show work

lina2011 [118]

Answer:

$s(x)=\frac{0.2}{x+5}$

Step-by-step explanation:

In 5 liters, there is 4% salt.

Lets find liters of salt.

First, converting 4% to decimal (dividing by 100):

4% = 4/100 = 0.04

0.04 * 5 = 0.2

So, there is 0.2 liters of salt.

Now, x liters of water is added to total, so total is now:

5 + x

The concentration of salt will be amount of salt divided by amount of salt water solution.

Amount of salt = 0.2 (as seen above)

Amount of new salt water solution = x + 5

So,

Concentration of salt in new solution is $\frac{0.2}{x+5}$

2nd choice is right.

4 0

3 years ago

Solve x2 + 1/2x +1/16=4/9

kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

$x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }$

We will find the least common multiple of 2. 6 and 9:

$x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144$

Simplifying it to get:

$144x^2+72x+9=64$

$144x^2+72x+9-64=0$

$144x^2+72x-55=0$

Using the quadratic formula to solve for x:

$x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}$

$x=\frac{5}{12}$ or $0.417$

$x=-\frac{11}{12}$ or $-0.917$

3 0

3 years ago

From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

4 0

3 years ago

How can I solve this problem?

irina [24]

5x + 5x +3x (like terms)
13x-60=180
180+60=240
240/13=18.4615
X=18.4615

I hope this is correct.
(There are so many different ways to do math problems like this) I hope I could help... sorry if I didn’t.

6 0

2 years ago

Do anybody know geometry?

choli [55]

Answer:

D. 29

Step-by-step explanation:

180 - 151 = 29

6 0

3 years ago