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Ulleksa [173]
3 years ago
11

Determine whether y varies directly with x. If so, find the constant of variation k. –5y = 5x + 10 a. yes;1 b. no c. yes; –5 d.

yes; 5
Mathematics
1 answer:
brilliants [131]3 years ago
7 0
A          -5-10=5/5=1     x =1  iiiiiiiiiiiiiiiiiiiiiiiiiii
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The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b
mel-nik [20]

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

3 0
3 years ago
(the
sleet_krkn [62]

at x = 0, y = 100, y-intercept

meaning at 0 years, at the very beginning of functioning, the satellite had 100 units of power.

at y = 0, x = 10, x-intercept

meaning, at year 10, the satellite had 0 units of power, already out of power.

4 0
2 years ago
40 = 25 + x
RSB [31]

Answer:

True

Step-by-step explanation:

This is true. x + 25 equals 40 in both cases, so they're equal.

4 0
3 years ago
Solve this system of equations: X=? Y=? ( JUST WRITE THE NUMBER ANSWERS WITH A COMMA BETWEEN THEM)
hjlf

Answer:

Therefore the Final Solution is

x = 2 and y = 4

( 2 , 4 )

Step-by-step explanation:

Given:

y=2x                ...............Equation ( 1 )

x=-y+6         ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Substitute Equation  ( 1 ) in Equation ( 2 ) we get

x=-2x+6\\\\3x=6\\\\3x=6\\\\x=\frac{6}{3} \\\\\therefore x =2

Now Substituting x = 2 in Equation ( 1 ) we get

y =2\times 2\\\\\therefore y=4

Therefore the Final Solution is

x = 2 and y = 4

( 2 , 4 )

4 0
3 years ago
Simplify log 4 - log 8
Leno4ka [110]

Answer:

-log2

Step-by-step explanation:

log4 - log8 = log2² - log2³

                    = 2log2 - 3log2

                    = (2 - 3)×log2

                    = (-1)×log(2)

                    = -log2

             

6 0
3 years ago
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