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3 years ago

Cual es la respuesta de f(x)= 3x-5,find f(8)

Mathematics

1 answer:

Vitek1552 [10]3 years ago

7 0

F(8)= 3(8)-5
f(8)= 19

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Draw a picture to support your work and how many yards did the grasshopper travel after hopping twice

tankabanditka [31]

So the grasshopper traveled 2 yards in each jump

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3 years ago

What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?

polet [3.4K]

Question:

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

Answer:

The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:

$y = \frac{4}{3}x + 2$

Solution:

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

Given equation is:

4x - 3y = 21

Rearrange,

3y = 4x - 21

$y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7$

On comparing above equation with eqn 1,

$m = \frac{4}{3}$

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1

$6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2$

Substitute c = 2 and m = 4/3 in eqn 1

$y = \frac{4}{3}x + 2$

Thus the equation of line is found

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4 years ago

Can someone help me understand this question?

JulijaS [17]

Hey there!

For Part A, because the amount earned on Sunday isn't specified, we can call this additional income x. Because we're writing an expression, we don't need an equal sign. The expression will be (x + 14).

For Part B, "2 less than" will mean "– 2" and "twice than" will mean the amount of dogs that Alicia walked times 2. We can call the amount that Alicia walked y to avoid confusion with the last expression (though you could use whatever variable here) and your expression will be (2y – 2).

Hope this helped you out! :-)

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3 years ago

How do you factor 2x^4 - 2y^4

labwork [276]

First factor out 2

2(x^4 - y^4)

Rewrite it as ((x^2)^2) and ((y^2)^2)

Then you get..

2 ((x^2)^2) - (y^2)^2))

Now both terms are perfect squares, factor using the difference of squares formula, a^2 + b^2 = (a+b)(a-b)

a= x^2 and b= y^2

2((x^2 + y^2)(x+y)(x-y))

clean it up!

2(x^2 + y^2)(x+y)(x-y)

7 0

3 years ago