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3 years ago

Given the function, f(x)= 5(x+4)^3/2, which of the following represents its y-intercept

Mathematics

1 answer:

AlladinOne [14]3 years ago

7 0

Answer:

The y-intercept is at (0,40).

Step-by-step explanation:

y = f(x)= 5(x+4)^3/2

We find the y-intercept but putting x = 0 and evaluating:

y = f(0) = 5(0 + 4)^2^3/2

= 5*4^3/2

= 5*(√4)^3

= 5 * 2^3

= 5*8

= 40.

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2 years ago

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2 years ago

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6 0

3 years ago

Read 2 more answers

Whats the equation of the line that passes threw -4,4 and is parrell to the line y=1/2-4

vovangra [49]

Answer:

$y=\frac{1}{2}x+6$

Step-by-step explanation:

Given:

The equation of the known line is:

$y=\frac{1}{2}x-4$

A point on the unknown line is (-4, 4)

Now, since the two lines are parallel, their slopes must be equal.

Now, slope of the known line is the coefficient of 'x' which is $\frac{1}{2}$ .

Therefore, the slope of the unknown line is also $m=\frac{1}{2}$

Now, for a line with slope 'm' and a point on it $(x_1,y_1)$ is given as:

$y-y_1=m(x-x_1)$

Here, $m=\frac{1}{2}, x_1=-4,y_1=4$ . Therefore,

$y-4=\frac{1}{2}(x-(-4))\\\\y-4=\frac{1}{2}(x+4)\\\\y-4=\frac{1}{2}x+2\\\\y=\frac{1}{2}x+2+4\\\\y=\frac{1}{2}x+6$

Hence, the equation of the unknown line is $y=\frac{1}{2}x+6$ .

5 0

3 years ago

2) A pharmacist has 60 ml of an 8% alcohol solution. How much water should be evaporated so that the solution that remains is 10

Amiraneli [1.4K]

Answer:

let water evaporated be x ml

...

acid 8% ------60 ml

...

final quantity = 10% ----(60-x)

60*8 = 10(60-x)

480=600-10x

10x=600-480

10x= 120

/10

x=12 ml should be evaporated.

Step-by-step explanation:

4 0

3 years ago