4. I mark as brainliest ​

The domain of the function [tex]f(x) = \sqrt{9 + \ln(x)}[/tex] is [tex][e^{-9}, \infty)[/tex].

To find the domain of the function [tex]f(x) = \sqrt{9 + \ln(x)}[/tex], we need to determine the values of [tex]x[/tex] for which the function is defined.
The square root function [tex]\sqrt{x}[/tex] is defined only for non-negative values of [tex]x[/tex]. Therefore, in order for [tex]f(x)[/tex] to be defined, the expression [tex]9 + \ln(x)[/tex] inside the square root must be non-negative.
Let's solve this inequality:
[tex]9 + \ln(x) \geq 0[/tex]
To do this, we subtract 9 from both sides:
[tex]\ln(x) \geq -9[/tex]
Now, we can rewrite this inequality in exponential form:
[tex]x \geq e^{-9}[/tex]

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Answer:

option 3 I guess...isn't it..

Answer: 6,625 feet

Step-by-step explanation:

Since she gets picked up in the afternoon, she's only walking one way. This means all you have to do is multiply 1,325 by 5 to get 6,625.

Answer:

x = -32/5

The equation has infinitely many solutions bc it can be rewritten as 0 = 0

Step-by-step explanation: dont forget the brainliest plz

Answer:

Step-by-step explanation:

Construction speed

Time

Road length

We are going to need to multiply to find the total length of road they built.

3 5/6 * 8

23/6 * 8/1

184/6

30.66.. or 30 2/3

Therefore, they built 30 2/3km of road.

Best of Luck!

Answer: 1 1/2 days because 3/4+3/4 is 1 1/2

Step-by-step explanation:

I did the math can I get brainliest

The number of days taken by Tina to paint the complete room is 3/2 day.

Given that, Tina painted 1/2 of a bedroom in 3/4 a day.

A proportion is an equation in which two ratios are set equal to each other.

Let the number of days taken by Tina to paint one complete bedroom.

Then, the proportion is 1/2 : 3/4 :: 1 : x

⇒ x/2=3/4

⇒ 4x=6

⇒ x=6/4

⇒ x=3/2

Therefore, the number of days taken by Tina to paint the complete room is 3/2 day.

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Answer:

A-10%

B-25/100

C-1/2

Step-by-step explanation:

i did it and got it right, hope this helps :D

Answer:

0.05?

Step-by-step explanation:

0.2 are taken by oarents

3/4 = 0.75 were taken by parents

0.20 + 0.75 = 0.95

1.00 - 0.95 = 0.05

Answer:

50° and 130°

Step-by-step explanation:

Here are the steps to find the two different angle measures of the parallelogram-shaped tile:

Step 1:

(6n - 70 = 2n + 10) - 2n

(4n - 70 = 10) + 70

(4n = 80) / 4

n = 20

Thus, n = 20

Step 2:

Substituting 20 for n in 6n - 70:

6(20) - 70

120 - 70

50

Substituting 20 for n in 2n + 10:

2(20) + 10

40 + 10

50

So, the two different angle measures of the parallelogram-shaped tile are 50 degrees and 130 degrees (since the sum of two opposite angles in a parallelogram is 180 degrees).

Is there anything else you would like to know?

Answer:

17100 + 855tax = a total price of 17955

Step-by-step explanation:

We are required to find the selling price of a vehicle given the cost price and sales tax.

The selling price of the truck is $17,955

Given:

Cost price = $17,100

Sales tax = 5%

Amount of tax = 5% of $17,10

= 5/100 × 17,100

= 0.05 × 17,100

= $855

Selling price = cost price + amount of tax

= $17,100 + $855

= $17,955

Therefore, the selling price of the truck is $17,955

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Answer: -2u + 15v

Step-by-step explanation:

Hey there!

Step 1: Expand by distributing terms.

4u - (6u - 15v)

Step 2: Remove parentheses.

4u - 6u + 15v

Step 3: Collect like terms.

(4u - 6v) + 15v

Step 4: Simplify.

-2u + 15v

~I hope I helped you! :)~

Answer:

Expanded: 4u-6u+15v Simplified: -2u+15v

Step-by-step explanation:

To expand, distribute the negative three to the terms in the parentheses by multiplying. Because a negative times a negative is a positive, it becomes plus 15v. To simplify, simply add like terms (the u variables).

The x-intercepts of the graph of the function [tex]y = x^2 - 3x - 28[/tex] are x = 7 and x = -4.

To find the x-intercepts of the graph of the function y = [tex]x^2 - 3x - 28[/tex], we need to set y equal to zero and solve for x. The x-intercepts occur when y is equal to zero.

Setting y = 0, we have the equation:

[tex]0 = x^2 - 3x - 28[/tex]

To solve this quadratic equation, we can factor it or use the quadratic formula. Let's use the quadratic formula in this case.

The quadratic formula states that for an equation of the form [tex]ax^2[/tex] + bx + c = 0, the solutions for x can be found using the formula:

x = [tex]ax^2[/tex]

For our equation [tex]0 = x^2 - 3x - 28[/tex], we have a = 1, b = -3, and c = -28. Plugging these values into the quadratic formula, we get:

x =[tex](-(-3) ± √((-3)^2 - 4(1)(-28))) / (2(1))[/tex]

Simplifying further, we have:

x = (3 ± √(9 + 112)) / 2

x = (3 ± √121) / 2

x = (3 ± 11) / 2

This gives us two possible solutions for x:

x1 = (3 + 11) / 2 = 14 / 2 = 7

x2 = (3 - 11) / 2 = -8 / 2 = -4

Therefore, the x-intercepts of the graph of the function y = [tex]x^2 - 3x - 28[/tex]are x = 7 and x = -4.

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Answer:

m∠L = 65°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the remote interior angles of the triangle.

130 = L + K

130 = L + 65

130 - 65 = L

65° = L

7x + 7 + 4y = 112

-7 from both sides

Answer:

80%

Step-by-step explanation:

Step 1:

16 : 20       Ratio

Step 2:

16/20      Convert to a fraction

Step 3:

4/5 × 20    Simpify  and Multiply

Answer:

80%     Convert to percentage

Hope This Helps :)

Answer:

Step-by-step explanation:

√

12

−

√

108

Simplify each term.

2

√

3

−

6

√

3

Subtract  

6

√

3

from  

2

√

3

.

−

4

√

3

The result can be shown in multiple forms.

Exact Form:

−

4

√

3

Decimal Form:

−

6.92820323

…

Answer:

C

Step-by-step explanation:

The answer is c

Answer:

Step-by-step explanation:

Given

a) total amount

b) Interest cost

9514 1404 393

Answer:

  a. 1/3

Step-by-step explanation:

The rational root theorem tells you possible rational roots will be of the form ...

  ±(factor of 3)/(factor of 15)

Which will be any of ±{1,3}/{1,3,5,15} = {±1/15, ±1/5, ±1/3, ±3/5, ±1, ±3}.

Of these, 1/3 is one of the available choices.

Answer:

53 degree

Step-by-step explanation:

i just subtracted it (linear pair axiom)

Answer:

The inverse is 1/2x +3

Step-by-step explanation:

f(x) = 2x-6

Replace f(x) with y

y= 2x-6

Exchange x and y

x = 2y-6

Solve for y

Add 6 to each side

x+6 = 2y-6+6

x+6 = 2y

Divide each side by 2

(x+6)/2 = 2y/2

1/2 x+3 = y

The inverse is 1/2x +3

Answer:

Step-by-step explanation:

[tex]f(x) = 2x-6[/tex]

To find the inverse of f(x) , equate f(x) to y that's

[tex]y = 2x - 6[/tex]

Next interchange the terms that's x becomes y and y becomes x

[tex]x = 2y - 6[/tex]

Next solve for y

Move 6 to the other side of the equation

That's

[tex]2y = x + 6[/tex]

Divide both sides by 2 to make y stand alone

[tex] \frac{2y}{2} = \frac{x + 6}{2} \\ \\ y = \frac{x + 6}{2} [/tex]

We have the final answer as

[tex] {f}^{ - 1} (x) = \frac{x + 6}{2} \\ [/tex]

Hope this helps you

Answer:

3) 8^10

Step-by-step explanation:

Use formula: (same base)

a^m × a^n = a^m+n

So,

8^3 × 8^7 = 8^3+7

= 8^10

Answer:

Al got 150 dollars

Step-by-step explanation:

If we know for certain that Diane receives 100 dollars, than there is 900 left. If Al gets 150, then Bob, getting twice as much, would receive 300, and carol who gets three times as much would get 450. So 450+150+100+300=1000$

Answer:

4 (3.2 exactly but you can't go to the store and say I want to buy 3.2 gallons of paint. They will look at you funny, So in this case you will by 4)

Step-by-step explanation:

2640/825 = 3.2 gallons

Answer:

Step-by-step explanation:

1 gallon = 825 square feet

x gallons = 2640 square feet

1/x = 825/2640        Cross multiply

825 x = 2640          Divide by 825

x = 2640/825

x = 3.2 gallons.

The 0.2 has to be rounded up (usually you would round down. That's because you have to get another gallon to paint the small area that is not covered.

So the rounded answer is 4 gallons.

Answer:

-25202257301

hope this helped

Step-by-step explanation:

Answer:

f(x) = 7

Step-by-step explanation:

since an even function is defined as a function with the following rule. f(-x) = f(x) for all x in the domain of f(x). It would be odd if f(-x) = -f(x) for all x in the domain of f(x). If f(-x) ≠ -f(x), than it is neither. these are all known as the parity of a function.

you can apply these rules to all of given functions like this. (-x-1) ≠ -(x-1) so it is neither. 8(-x) = -(8x) so it would be odd. 2(-x)-(-x) = -(2x-x) so it is odd as well. This would make f(x) = 7 the only option, as there are no x variables in the equation so 7 = 7.

Answer:

hi or high

Step-by-step explanation:

so you right the world h and i and cobine them to make hi or high same thing

2

3(5+1) ÷ 3² = 3(6) ÷ 3²

= 18 ÷ 3² = 18 ÷ 9 = 2