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2 years ago

5

F(X) = 3X – 4 THE DOMAIN FOR THE FUNCTION IS {1, 2, 3} WHAT IS THE RANGE?

1 answer:

Juliette [100K]2 years ago

5 0

Answer:

y = {-1, 2, 5}

although, I am not sure how you want to format your answer

Step-by-step explanation:

just input the values for the domain

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Find a cubic polynomial whose graph passes through the points (1,3),(2,−2),(3,−5),(4,0)

scoundrel [369]

The generic equation of a third degree polynomial is given by:
y = ax ^ 3 + bx ^ 2 + cx + d
We must make a system of equations to find the values of a, b, c, d.
We have then:
For (1, 3):
3 = a (1) ^ 3 + b (1) ^ 2 + c (1) + d
3 = a + b + c + d
For (2, -2):
-2 = a (2) ^ 3 + b (2) ^ 2 + c (2) + d
-2 = 8a + 4b + 2c + d
For (3, -5):
-5 = a (3) ^ 3 + b (3) ^ 2 + c (3) + d
-5 = 27a + 9b + 3c + d
For (4.0):
0 = a (4) ^ 3 + b (4) ^ 2 + c (4) + d
0 = 64a + 16b + 4c + d
We obtain the following system of equations:
3 = a + b + c + d
-2 = 8a + 4b + 2c + d
-5 = 27a + 9b + 3c + d
0 = 64a + 16b + 4c + d
Whose solution is:
a = 1
b = -5
c = 3
d = 4
The polynomial will then be:
y = x ^ 3 - 5x ^ 2 + 3x + 4
Answer:
y = x ^ 3 - 5x ^ 2 + 3x + 4

4 0

3 years ago

Two triangles are shown. The first triangle has sides x, 6 cm, and 12 cm, and the second triangle has corresponding sides 20 cm,

swat32

Answer:

Given the two triangles are shown:

First triangle has sides x cm , 6 cm and 12 cm.

and

Second triangle has sides 20 cm , 8 cm and 16 cm.

Since, the given two triangles are Similar.

⇒there corresponding sides are in proportion.

i,e

$\frac{x}{20}=\frac{6}{8}=\frac{12}{16}$

(a)

$\frac{x}{20}=\frac{12}{16}$

Solve for x;

By cross multiply we have;

$16x = 240$

Divide both sides by 16 we get;

$x = 15$ cm

(b)

Find x using the ratio sides:

$\frac{6}{8} = \frac{x}{20}$

By cross multiply we have;

$120 = 8x$

Divide both sides by 8 we get;

$15 = x$

or

$x = 15$ cm

The value of x =15 cm in both a and b is same because the given two triangles are similar,

by definition of similarity, the given triangles have their corresponding sides are in proportion.

5 0

3 years ago