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3 years ago

In a direct variation equation f(x) = 6 when x = 4. what is the direct variation equation

Mathematics

2 answers:

aksik [14]3 years ago

8 0

Answer:

C-f(x)=1.5x

just took the quiz and 3/2 reduces to 1.5

KiRa [710]3 years ago

5 0

Answer:

D) $f(x)=1.5x$

Step-by-step explanation:

Direct variation is the opposite of Proportional Variation. It is given according to this formula:

$y=kx$

The notation f(x) = y. Since f(x)=y= 6 and x=4 Firstly let's find k. Then plug it back to the original one.

We have:

$y=kx\\6=k4\\k=\frac{6}{4} =k=\frac{3}{2}\\y=\frac{3}{2}x \Rightarrow y\approx1.5x$

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Suppose a parabola has vertex (6,5) and also passes through the point (7,7). Write the equation of the parabola in vertex form.

jek_recluse [69]

Answer:

Choice B: $y = 2\, (x - 6)^{2} + 5$ .

Step-by-step explanation:

For a parabola with vertex $(h,\, k)$ , the vertex form equation of that parabola in would be:

$\text{$y = a\, (x - h)^{2} + k$ for some constant $a$}$ .

In this question, the vertex is $(6,\, 5)$ , such that $h = 6$ and $k = 5$ . There would exist a constant $a$ such that the equation of this parabola would be:

$y = a\, (x - 6)^{2} + 5$ .

The next step is to find the value of the constant $a$ .

Given that this parabola includes the point $(7,\, 7)$ , $x = 7$ and $y = 7$ would need to satisfy the equation of this parabola, $y = a\, (x - 6)^{2} + 5$ .

Substitute these two values into the equation for this parabola:

$7 = (7 - 6)^{2}\, a + 5$ .

Solve this equation for $a$ :

$7 = a + 5$ .

$a = 2$ .

Hence, the equation of this parabola would be:

$y = 2\, (x - 6)^{2} + 5$ .

4 0

2 years ago

Factor −3y−18 and choose the correct option.

balu736 [363]

Answer:

-21

Step-by-step explanation:

because theres two negitives so it makes it a positive

5 0

2 years ago

Please help me I need hlp

MatroZZZ [7]

H = 27 m. Since these are scales of each other, you can solve for h by creating a ratio of the two lengths. Divide 36 by 4 to find the scale for the tree. 36/4 = 9. This means that the large triangle is 9 times larger than the small one. Now to find h, multiply the height of the small triangle by the scale. 3 x 9 = 27. This means the height, h, of the large triangle is 27 m. You can check this by dividing the length of each triangle by their height. If they are the same number, the scale is correct. 36/27 = 1.33, 4/3 = 1.33 ✅

5 0

2 years ago

Read 2 more answers

a track tire has a diameter of 20 in if the tire is rotated eight times how far will the track have traveled

Brut [27]

Answer:

160

Step-by-step explanation:

7 0

2 years ago

The angles of a triangle are in the ratio 5:3:7 find the angles

omeli [17]

Answer:

60, 36, 84

Step-by-step explanation:

The angles of a triangle always add up to 180 degrees.

If the ratios are 5:3:7, that means that there are 15 pieces that we can break up the 180 degrees by.

180/15 = 12

Each value is 'worth' 12 degrees.

Thus the angles would be the ratios multiplied by 12.

5 x 12 = 60

3 x 12 = 36

7 x 12 = 84

3 0

2 years ago