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3 years ago

8

Determine the domain of the function f(x)=√9+3x. Explain or show you arrived at your answer

1 answer:

liraira [26]3 years ago

5 0

The domain is [-3,+infinity}
Or
X_>-3

Use the commutative property to reorder the terms, Separate the function into parts to determine the domain of each part, The domain of an even root function are all values of for which the radicand is positive or , The domain of a linear function is the set of all real numbers, Find the intersection

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HELP NEEDED ASAP MATHS PLEASE!!!

BabaBlast [244]

You plug in the values for x in each respective equation.

a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4

b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.

hope this helps! (:

5 0

3 years ago

HELP ASAPJennifer and Chris completed some chores and split the earnings in the ratio 3:2. Jennifer earned $48.

elixir [45]

Let the total earnings be = x

Jennifer and Chris split the earnings in the ratio 3:2

Jennifer earned = $48

$\frac{3x}{5}=48$

$3x=240$

x=80

Hence total earnings are $80

(a) Chris earning is = $\frac{2x}{5}=\frac{2*80}{5}=32$

Hence, Chris earns $32

(b) Jennifer spends 30% of her earnings on a book.

So, price of the book = $\frac{30}{100}\times48$

Price of book = $14.40

(c) Jennifer also buys a magazine for = $5.40

So, total money Jennifer spent on book and magazine = 14.40+5.40=19.80

Money left with Jennifer = 48-19.80= $28.20

In fractions = $\frac{28.20}{48}$

or multiplying the numerator and denominator by 10, we get

$\frac{282}{480}$ = $\frac{47}{80}$

(d) Let the original price of the shirt = x

reduction percentage on x= 40%

Price paid after reduction = 16.80

$\frac{40x}{100}=16.80$

$40x=1680$

$x=42$

Hence, the original price of the shirt was $42.

8 0

3 years ago

Here are two rectangular prisms:

Leno4ka [110]

Answer:

hey there buddy

Step-by-step explanation:

3 0

3 years ago

What is the product of 3/4 and -6/7 ?

Allisa [31]

Answer:

-9 / 14

Step-by-step explanation:

Product means multiply
3/4 x -6/7 = -9 / 14

7 0

2 years ago

Read 2 more answers

Suppose that x is the probability that a randomly selected person is left handed. The value (1-x) is the probability that the pe

harina [27]

Answer:

The maximum variance is 250.

Step-by-step explanation:

Consider the provided function.

$V(x)=1000x(1-x)$

$V(x)=1000x-1000x^2$

Differentiate the above function as shown:

$V'(x)=1000-2000x$

The double derivative of the provided function is:

$V''(x)=-2000$

To find maximum variance set first derivative equal to 0.

$1000-2000x=0$

$x=\frac{1}{2}$

The double derivative of the function at $x=\frac{1}{2}$ is less than 0.

Therefore, $x=\frac{1}{2}$ is a point of maximum.

Thus the maximum variance is:

$V(x)=1000(\frac{1}{2})-1000{\frac{1}{2}}^2$

$V(x)=250$

Hence, the maximum variance is 250.

4 0

3 years ago