All categories

3 years ago

F(x) = 3x + 9, g(x) = 5x2 Find (f + g)(x).

1 answer:

5 0

(f-g)(x) is a shorthand way of saying that you need to get the difference of the two functions: f(x) and g(x). so essentially, (f-g)(x) = f(x) - g(x) = 5x+2 - (-3x+4) = 8x-2 (f/g)(-2) = f(-2)/g(-2) = -4/5 or -0.8 Hope this helps.

You might be interested in

Hello I need help on it

Nookie1986 [14]

Answer: The first one is 7.7. the second one is 7.5 the third one is 7.6 the 4th one is 7.5 the 5th one is 7.7 the 6th one is 7.6

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 70 minutes th

77julia77 [94]

Answer: 233 min

Step-by-step explanation:

This problem can be solved by the following equation:

$A=A_{o} e^{-kt}$ (1)

Where:

$A=7 g$ is the quantity left after time $t$

$A_{o}=12 g$ is the initial quantity

$t=70 min$ is the time elapsed

$k$ is the constant of decay for the material

So, firstly we need to find the value of $k$ from (1) in order to move to the next part of the problem:

$\frac{A}{A_{o}}=e^{-kt}$ (2)

Applying natural logarithm on both sides of the equation:

$ln(\frac{A}{A_{o}})=ln(e^{-kt})$ (3)

$ln(\frac{A}{A_{o}})=-kt$ (4)

$k=-\frac{ln(\frac{A}{A_{o}})}{t}$ (5)

$k=-\frac{ln(\frac{7 g}{12 g})}{70 min}$ (6)

$k=0.00769995 min^{-1}$ (7) Now that we have the value of $k$ we can solve the other part of this problem: Find the time $t$ for $A=2 g$ .

In this case we need to isolate $t$ from (1):

$t=-\frac{ln(\frac{A}{A_{o}})}{k}$ (8)

$t=-\frac{ln(\frac{2 g}{12 g})}{0.00769995 min^{-1}}$ (9)

Finally:

$t=232.697 min \approx 233 min$

5 0

3 years ago

HELP ASAP, WILL AWARD BRAINEST, BEING TIMED HELP, SHOW ALL WORK TO GET ANSWER

chubhunter [2.5K]

1: theoretical probability for flipping a coin is thats because there are only 2 options and only one will happen theoretically you should get 50 out of 100 should be heads. but getting 41 out of 100 is a bit low

theoretically 50/100

in actuality 41/100

2. Part A: I believe the chance of hitting the black dot is closer to zero due to the amount of white background there is. There is a lot more white then black.

Part B: The probability of hitting the white is closer to 1 due to the greater amount of white on the target than the amount of black. There is a lot more white than black.

3 0

3 years ago

Find the area of this compound figure

AysviL [449]

Trapezoid, height 7, bases 5 and 6, so

area = (1/2) (6 + 5)(7) = 77/2 = 38.5

Answer: 38.5

As a check it's a 7×5 rectangle plus a 7×1 right triangle, so

A = 7×5 + 7×1/2 = 35 + 3.5 = 38.5, good

6 0

3 years ago

Read 2 more answers

30 POINTS!!!!!!!!

saul85 [17]

Answer:

1. a square bulletin board has an area of 100ft^2 what is the side length of the bulletin board?

Answer: 10 ft

• Area = side × side

$100 = {s}^{2} \\ s = \sqrt{100} \\ side = 10 \: ft$

2.which is the correct classification of the vaule 2pi?

D. real,irrational

→ It is irrational because it has no denominator, it is real because it has no imaginary part, and it can be plotted on a number line.

3. simplify each expression

$\hookrightarrow \: - 9x + 12 - 10 + x \\ = ( - 9x + x) + 12 - 10 \\ = { \boxed{ - 8x + 2}} \\ \\ \\ \hookrightarrow \: \frac{3}{4} x + 17 - \frac{1}{4} x - 19 \\ \\ = \frac{3}{4} x - \frac{1}{4} x + 17 - 19 \\ \\ { \boxed{ = \frac{1}{2} x - 2}} \\ \\ \\ \hookrightarrow \: 13 + 12x - 4x - 14 \\ = 13 + 8x - 14 \\ { \boxed{ = 8x - 1}} \\ \\ \\ \hookrightarrow \: - \frac{3}{2} x - 68 + 2x + 8 \\ \\ = - \frac{3}{2} x + 2x - 68 + 8 \\ \\ { \boxed{ = \frac{1}{2}x - 60 }}$

3 0

3 years ago