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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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Carl used 10 2/9 an inch of string to tie a parcel and another 5 1/4 of an inch of string to tie a box, how much string is left

NARA [144]

Answer:

20-(10 2/9)-(5 1/4)= 4.52777777778 inches decimal or 163/36

Step-by-step explanation:

Simplify the following:

20 - (10 + 2/9) - (5 + 1/4)

Put 10 + 2/9 over the common denominator 9. 10 + 2/9 = (9×10)/9 + 2/9:

20 - (9×10)/9 + 2/9 - (5 + 1/4)

9×10 = 90:

20 - (90/9 + 2/9) - (5 + 1/4)

90/9 + 2/9 = (90 + 2)/9:

20 - (90 + 2)/9 - (5 + 1/4)

90 + 2 = 92:

20 - 92/9 - (5 + 1/4)

Put 5 + 1/4 over the common denominator 4. 5 + 1/4 = (4×5)/4 + 1/4:

20 - 92/9 - (4×5)/4 + 1/4

4×5 = 20:

20 - 92/9 - (20/4 + 1/4)

20/4 + 1/4 = (20 + 1)/4:

20 - 92/9 - (20 + 1)/4

20 + 1 = 21:

20 - 92/9 - 21/4

Put 20 - 92/9 - 21/4 over the common denominator 36. 20 - 92/9 - 21/4 = (36×20)/36 + (4 (-92))/36 + (9 (-21))/36:

(36×20)/36 + (4 (-92))/36 + (9 (-21))/36

| 3 | 6

× | 2 | 0

| 0 | 0

7 | 2 | 0

7 | 2 | 0:

720/36 + (4 (-92))/36 + (9 (-21))/36

4 (-92) = -368:

720/36 + (-368)/36 + (9 (-21))/36

9 (-21) = -189:

720/36 - 368/36 + (-189)/36

720/36 - 368/36 - 189/36 = (720 - 368 - 189)/36:

(720 - 368 - 189)/36

720 - 368 - 189 = 720 - (368 + 189):

(720 - (368 + 189))/36

| 1 | 1 |

| 3 | 6 | 8

+ | 1 | 8 | 9

| 5 | 5 | 7:

(720 - 557)/36

| | 11 |

| 6 | 1 | 10

| 7 | 2 | 0

- | 5 | 5 | 7

| 1 | 6 | 3:

Answer: 163/36

4 0

2 years ago

Sherman Zimmerman has decided to contribute 8% of his gross pay to his 401K. His employer will match 50% of the first 6% of his

sergiy2304 [10]

.5 x .06=.03
53600 x .03=1608.00
☺☺☺☺

4 0

3 years ago

A highway had a landslide, where 3,00 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On anot

Andru [333]

Answer:

2667 dump truck loads

Step-by-step explanation:

To solve this exercise, we must resort to a proportion rule.

Knowing what happened in the first place, how much was needed, a direct proportion will be made with the other accident, be as follows.

Landslide Dump Truck Loads

3 yd ^ 3 -------------------------------------------> 200

40 yd ^ 3 -------------------------------------------> X

X = (40 * 200) / 3

X = 2666.6, that is, for 40 cubic yards of sliding, approximately 2667 dump truck loads are needed.

8 0

3 years ago

How do I solve for question number 6

Natali5045456 [20]

Answer:

$18 + 18\sqrt{3}$

Step-by-step explanation:

The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of $1 - \sqrt{3} -2$ .

The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from $1 - \sqrt{3} -2$ .

It becomes $9 - 9\sqrt{3}-18$ . So the rectangle is 9 by $9\sqrt{3}$ .