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DerKrebs [107]
3 years ago
13

Find an equation of variation where y varies directly as x and y = 7 when x = 0.5 .

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

y = 14x

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 7 as y and 0.5 as x, and solve for k:

y = kx

7 = k(0.5)

14 = k

Plug this into the equation:

y = kx

y = 14x

So, the equation of variation is y = 14x

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Matching Functions
Ainat [17]

Answer:

Graph A → Equation A → Table B → Property D

Graph D → Equation B → Table A → Property B

Graph B → Equation C → Table C → Property E

Graph C → Equation D → Table E → Property A

Graph E → Equation E → Table D → Property C

Step-by-step explanation:

Graph A corresponds to equation A, x·y = 2, and Table B → Property D

xy = 2 has a vertical asymptote at x = 0, and a horizontal asymptote at y = 0

y = 2/x, when x = 0, y = ∞

Graph D corresponds to equation B, -\left |  x\right | + 1 which corresponds to table A → Property B

The domain extends from (-∞, ∞), and [1, -∞)

Graph B corresponds to equation C, -(x + 2)² which gives the values in Table C and Property E wich is a horizontal shift of 2 units left and a reflection across the x-axis

Graph C corresponds to equation D, (1/3)·x - 2, which gives the values on Table E and Property A

The y-intercept of (1/3)·x - 2 = (0, -2), and the x-intercept = (6, 0)

Graph E corresponds to equation E, x³ = y, which gives the values on Table D  Property C, y is x cubed

6 0
3 years ago
A child takes a nap averaging three hours and get an average of 12 hours of sleep at night . Nap time and night time sleep can e
algol13
That should be all of them. Hope it helps
8 0
3 years ago
East black horse $0.25 total budget is $555 it'll cost $115 for other supplies about how many flyers do you think we can buy
Tems11 [23]

Answer:

You can buy 1760 flyers.

Step-by-step explanation:

You will have to take away $115 from your total budget of $555.

$555-$115=$440

If each flyer costs $0.25 than the total amount of flyers that are able to be purchased are 1760.

440/0.25=1760

8 0
3 years ago
I need help with this math question I don’t understand
Illusion [34]
What’s your question bro
7 0
3 years ago
Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the numbe
Andreas93 [3]

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

so

x+y=10 ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

so

y=\frac{1}{2}x+4 ---> equation B

substitute equation B in equation A

x+\frac{1}{2}x+4=10

solve for x

\frac{3}{2}x=10-4

\frac{3}{2}x=6\\x=4

Find the value of y

y=\frac{1}{2}(4)+4=6

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

5 0
3 years ago
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