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quester [9]
3 years ago
7

WHAT IS THE DOMAIN OF (F+G) (X) ?

Mathematics
1 answer:
trapecia [35]3 years ago
7 0
Are the x values of the given function of (F+G)(X)./
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Which equation represents a line that is parallel to 2x-3y=9
Sever21 [200]
Two lines are parallel if they have the same slope but a different y intercept. A line with the same slope and y int as another one will be the exact same
Slope in standard form is -a/b, so your slope is 2/3 and your y int is -3
For example:
y=2/3x+1
4 0
3 years ago
Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. f(x) = −one eighth (x − 2)2 + 6 f(x) = one
vfiekz [6]

Answer:

A

Step-by-step explanation:

For any point (x, y ) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x-2)^2+(y-4)^2} = | y - 8 |

Squaring both sides gives

(x - 2)² + (y - 4)² = (y - 8)²

(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )

(x - 2)² = - 8y + 48

8y = - (x - 2)² + 48

y = - \frac{1}{8}(x - 2)² + 6 → A


3 0
3 years ago
Read 2 more answers
The steps to solve it
pashok25 [27]
6(2k-3) is the answer to this problem.
make a distributive
take the 6 out of the equation and u have remaining 2k-3. 6(2k-3)
6 0
3 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
3 years ago
Each year, Sandy measures the height of a tree growing in her yard. The graph shows the yearly height. Choose any two points on
inna [77]

Answer:

4.513451241 sq feet wide x 12.41255213 sq feet

Step-by-step explanation:

5 0
3 years ago
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