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Ksivusya [100]
3 years ago
9

Graph the function f(x)=3/2x−4. Use the line tool and select two points to graph.

Mathematics
2 answers:
iris [78.8K]3 years ago
4 0

Answer:

Two points on the graph would be (2,-1) and (4,2).

Step-by-step explanation:

You can choose two random x variables such as how i selected 2 and 4. if you change the variable x to those values you can solve for y or in this case f(x).

EX:

3/2*2-4

6/2-4

3-4

f(x)= -1

denpristay [2]3 years ago
3 0

Answer:

The two points on the graph are (0,-4) and (2.667,0)

Step-by-step explanation:

We are given that a function

f(x)=\frac{3}{2}x-4

We have to graph the function  using line tool and select two points to graph.

Let y=f(x)

Substitute x=0 then, we get

y=\frac{3}{2}(0)-4=-4

Therefore, the equation cut the y- axis at point (0,-4).

Substitute y=0 then we get

0=\frac{3}{2}x-4

\frac{3}{2}x=4

x=\frac{4\times 2}{3}=\frac{8}{3}=2.667

Therefore, the equation cut the x- axis at point (2.667,0).

Now, mark the point on the graph and meet the points.

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Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.
jasenka [17]

Answer:

We have the function, f(x)=(x+3)^{2}-4

On simplifying, we get,

f(x)=x^2+6x+9-4

i.e. f(x)=x^2+6x+5

Thus, the standard form of the function is f(x)=x^2+6x+5.

Now, the factors of the given functions are (x+1) and (x+5).

<em>Since, the intercept form of the function is the factored form of the function.</em>

So, we have, intercept form of the function is f(x)=(x+1)(x+5).

Now, we know that,

Value of x-coordinate of the vertex is \frac{-b}{2a} i.e. \frac{-6}{2\times 1} i.e. \frac{-6}{2} i.e. x= -3

Then, f(-3)=(-3)^2+6\times (-3)+5 i.e. f(-3)=9-18+5 i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that,<em> 'the y-intercept of a function is the point where the function crosses y-axis'.</em>

So, when x=0, we have, f(0)=0^2+6\times 0+5 i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, <em>'the x-intercept of a function is the point where the function crossese x-axis'.</em>

Then, for f(x)=0, we have 0=x^2+6x+5 i.e. 0=(x+1)(x+5) i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0
3 years ago
Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius o
devlian [24]
The height of the can for this case is given by:
 h = 40 mm
 The radius of the can is given by:
 r = (1 3/8) * h
 Substituting values:
 r = (1 3/8) * 40
 r = 55 mm
 Therefore, the diameter of the can is:
 d = 2 * r
 d = 2 * 55
 d = 110 mm
 Answer:
 
The diameter of the can will be:
 
d = 110 mm
3 0
3 years ago
Help me pleaseeeeeeeeeeeeee
gavmur [86]

Answer:

68/35 hope this helps

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help. I’ll mark you as brainliest if correct!
11111nata11111 [884]

Answer:

50 miles

Step-by-step explanation:

See the step-by-step solution in the picture attached below.

I hope this answer will help you. Have a nice day !

4 0
3 years ago
Is this correct ? if not what’s the correct answer?
lara [203]
Yes this is correct because that angle in is with the other angles to
5 0
3 years ago
Read 2 more answers
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