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IRISSAK [1]
3 years ago
5

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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3 0
2 years ago
I NEED HELP!! pleaseee
Veronika [31]

Answer:

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Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

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y = 100/5

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4 0
2 years ago
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Bess [88]

Very simple.

Let's say you have an equation.

f(x) = x^2

You are asked to find the value for y when x equals 1.

The new equation is: f(1) = (1)^2

f(1) = 1

When x = 1, y = 1.

The same concept is applied here.

In the graph, where does x equal 0?

It equals zero at the origin.

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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
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