!!!PLEASE ANSWER, ASAP!!!An adult takes 800 mg of ibuprofen. Each hour, one fourth of the medicine leaves the system. Write the exponential equation that models this situation.

Answer:

— What is (g × h)(x)?

The answer is 3x²+x-2

— What is g(k(x))?

The answer is 12x - 2 or 2(6x-1)

— What is k(g(0))

The answer is -8

Explanation:

Given these functions —

[tex]f(x) = 5 {x}^{2} - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x[/tex]

Find (g × h)(x)

[tex](g \times h)(x) = g(x) \times h(x)[/tex]

Substitute g(x) = 3x - 2 and h(x) = x + 1

[tex](3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)[/tex]

Multiply the polynomial.

[tex]3 {x}^{2} + 3x - 2x - 2[/tex]

Subtract - 2x out of 3x —

[tex]3 {x}^{2} + x - 2[/tex]

Thus, the answer is —

[tex](g \times h)(x) = 3 {x}^{2} + x - 2[/tex]

Find (g(k(x))

Substitute k(x) = 4x in g(x).

[tex]g(x) = 3x - 2 \\ k(x) = 4x[/tex]

[tex]g(k(x)) = g(4x)[/tex]

[tex]g(4x) = 3(4x) - 2[/tex]

Distribute 3 in 4x —

[tex]g(4x) = 12x - 2[/tex]

Thus the answer is —

[tex]g(k(x)) = 12x - 2[/tex]

Alternative Solution

[tex]g(k(x)) = 2(6x - 1)[/tex]

Find k(g(0))

Given two functions — k(x) and g(x)

[tex]k(x) = 4x \\ g(x) = 3x - 2[/tex]

Evaluate the value of g(0) as we substitute x = 0 in g(x)

[tex]g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) = - 2[/tex]

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

[tex]k(x) = 4x \\ g(0) = - 2[/tex]

Substitute g(0) = -2 in k(x)

[tex]k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) = - 8[/tex]

Thus, the answer is —

[tex]k(g(0)) = - 8[/tex]

Answer:

0.315 per lb

Step-by-step explanation:

Answer:

Your slope would be -5/3

Step-by-step explanation:

To find the slope from two points, you would use the formula y2-y1/x2-x1

In this case, the equation would look like -12-8/3-(-9)

-12 - 8 = -20

3 - (-9) = 12

-20/12 = -5/3

7: Answer: [tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

Substitute the value of Y:

[tex]-2x-3(10x-11)=-7[/tex]

Solve for X:

[tex]-2x-3(10x-11)=-7[/tex]

[tex]x=\frac{5}{4}[/tex]

Substitute the value of X:

[tex]x=\frac{5}{4}[/tex]

[tex]y=10*\frac{5}{4}-11[/tex]

Solve for Y:

[tex]y=10*\frac{5}{4}-11[/tex]

[tex]y=\frac{3}{2}[/tex]

Solution:

[tex](x,y)=(\frac{5}{4},\frac{3}{2} )[/tex]

8: Answer: [tex](x,y)=(3,-2)[/tex]

Substitute the value of Y:

[tex]4x-3*(-2)=18[/tex]

Solve for X:

[tex]4x-3*(-2)=18[/tex]

[tex]x=3[/tex]

Solution:

[tex](x,y)=(3,-2)[/tex]

9: Answer [tex](x,y)=(0,-2)[/tex]

Substitute the value of Y:

[tex]-3x+6(-2+5x)=-12[/tex]

Solve for X:

[tex]-3x+6(-2+5x)=-12[/tex]

[tex]x=0[/tex]

Substitute the value of X:

[tex]x=0[/tex]

[tex]y=-2+5*0[/tex]

Solve for Y:

[tex]y=-2+5*0[/tex]

[tex]y=-2[/tex]

Solution:

[tex](x,y)=(0,-2)[/tex]

10: Answer [tex](x,y)=(-3,-6)[/tex]

Substitute the value of Y:

[tex]-5x-(6+4x)=21[/tex]

Solve for X:

[tex]-5x-(6+4x)=21[/tex]

[tex]x=-3[/tex]

Substitute the value of X:

[tex]x=-3[/tex]

[tex]y=6+4x(-3)[/tex]

Solve for Y:

[tex]y=6+4x(-3)[/tex]

[tex]y=-6[/tex]

Solution:

[tex](x,y)=(-3,-6)[/tex]

Please mark me brainliest if this helped you :)

Answer:

the answer is 19

Step-by-step explanation:

8+6=14

14+5=19

Answer:

40B +30M ≤ 300

200B +80M ≤ 1200

Step-by-step explanation:

The inequality functions are as follows:

For 40 cartridges per book and 30 cartridges per magazine and at most 300 cartridges are used

So the function would be

40B +30M ≤ 300

Now the another would be

There are 200 pages for printing a book and 80 pages are required for printing a magazine also she used at most 1,200 pages

So, the function would be

200B +80M ≤ 1200

Answer:

0.619

Step-by-step explanation:

Answer:

0.619

Step-by-step explanation:

Fist divide 13/21. I used a claulator since thats allows in my class. When you do that you get 0.619047619. to round we look at the thrid and fourth decimal places, which are 9 and 0. Since zero is less than nine we round down to get the answer.

Answer:

what are you talking about???

Step-by-step explanation:

brainliest and chill bro

Answer: 5/8 of the project is done

Answer: the correct answer is to teacha don’t like you assigning this bullish!+ when will you ever in your life use this feel bad for y’all I dropped out

Step-by-step explanation:

Answer:

The median is 120.

The lower quartile is 112.

The upper quartile is 140.

The interquartile range is 28.

Step-by-step explanation:

its hand proven

Answer:

X = wrong.

^ = correct

Step-by-step explanation:

^         The median is 120.

X        The median is 109.

X        There is an outlier.

X        The lower quartile is 118.

^         The lower quartile is 112.

^         The upper quartile is 140.

X        The upper quartile is 141.

^         The interquartile range is 28.

Hope this helps!!!

Answer:

he sold 22 dogs and 13 cats

number of dogs = 22

plz mark my answer as brainlist plzzzz and option C .22 is the correct answer

Answer:

c. 22

Step-by-step explanation:    

75 x 22= 1650

35-22=13

13 x 25= 325

325+1650= 1975

Answer:

No Soultion

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

distribute

3y + 6 = 5 + 3y

subtract 3y from both sides

6 = 5

no solution since 6 can never equal 5

Answer:

D 1/6

Step-by-step explanation:

There are 6 total marbles and only one of them is red so

1=red

6=total

1/6

PLZ MARK ME BRAINLIEST

Answer:

x = 3.8 + 53.6

Step-by-step explanation:

From the info that they gave you, you can tell that the original number is unknown, so that is x. Since Sushil is subracting 3.8, meaning, to get x, you're going to have to do the opposite which is........addition! So, to get x, you have to add 3.8, and 53.6. I hope I make sense!!

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Angle = 35°

Opposite Leg = x

Hypotenuse = 20

Step 2: Solve for x

Answer:

multiply all of it

Step-by-step explanation:

11.3 x 6 x 8 x 8

10.3 x 13 x 9 x 5

=

26145849.6

Reduce

I'm not sure exactly what you're trying to ask, but this statement is not true.

to solve a function, you would input a number ,and in this example 8, and replace the x's with 8.

f(8)=4(8)+7

f(8)=32+7

f(8)=39, so when you input 8, your output is 39, not 11.

the function is linear.

Answer:

48 beats per minute

Step-by-step explanation:

I learned this is gym today he told us if you only count 10 seconds multiply the heart beat by 6 so the answer is 48 Noah's resting heart rate is lower than average so he's probably an athlete.

Answer:

5i[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

i² = - 1 ⇒ i = [tex]\sqrt{-1}[/tex]

Given

[tex]\sqrt{-175}[/tex]

= [tex]\sqrt{25(7)(-1)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{7}[/tex] × [tex]\sqrt{-1}[/tex]

= 5i[tex]\sqrt{7}[/tex]

Answer:

[tex]5i\sqrt{7}[/tex]

Step-by-step explanation:

In order to solve this question we need to know how to multiply roots. You will need to understand that when we multiply [tex]\sqrt{a}[/tex] by [tex]\sqrt{b}[/tex], the following is true.

[tex](\sqrt{a})(\sqrt{b}) = \sqrt{ab}[/tex]                       (1)

From the question it self we know that [tex]\sqrt{ab}[/tex] is equal to [tex]\sqrt{-175}[/tex]. We also know that [tex]i^{2} = -1[/tex] or in other words [tex]i = \sqrt{-1}[/tex].

Now we will need to factors [tex]\sqrt{-175}[/tex] so that at the end we will end up representing [tex]\sqrt{-175}[/tex] as a product of [tex]\sqrt{-1}[/tex] and some other number. In order to determine the unknown number we will just have to divide [tex]\sqrt{-175}[/tex] by [tex]\sqrt{-1}[/tex]. From the equation (1) that I mention at the start we can figure out that......

[tex]\sqrt{a} = \frac{\sqrt{-175} }{\sqrt{-1} } = \sqrt{175}[/tex]   (in our case [tex]\sqrt{a}[/tex] is the unknown number we are trying to find)

Now we can rewrite [tex]\sqrt{-175}[/tex] as the following.....

[tex]\sqrt{-175} = (\sqrt{175})(\sqrt{-1})[/tex]

From here we substitute [tex]\sqrt{-1}[/tex] with [tex]i[/tex] and simplify [tex]\sqrt{175}[/tex]. In order to simplify [tex]\sqrt{175}[/tex] we will have to factor [tex]\sqrt{175}[/tex] in a way that we will see [tex]\sqrt{175}[/tex] as a multiple of a perfect square root. An so we get the following

[tex]\sqrt{-175} = (\sqrt{175})(i) = (\sqrt{7})(\sqrt{25} )(i) = (\sqrt{7})(5)(i) = 5i\sqrt{7}[/tex]

Answer:

40

Step-by-step explanation:

i would say 40? because it will be a constant for how many times you do X. for example if it's Y = 40 (2) it would equal 80 because no matter what number you put in X 40 will have to be multiplied

Answer:

AE = 30

GD = 5

GF = 10

Step-by-step explanation:

Centroid of medians divide median in the ratio 2 : 1

Therefore,

AG : GE : 2 : 1

Let AG = 2x & GE = x

Since, AG = 20....(given)

Therefore, 2x = 20

x = 20/2

x = 10

GE = x = 10

AE = AG + GE = 20 + 10 = 30

CG : GD : 2 : 1

Let CG = 2x & GD = x

Since, CG = 10....(given)

Therefore, 2x = 10

x = 10/2

x = 5

Since, GD = x

Therefore, GD = 5

BF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10

Answer:

x ≥ -4 or x ≥ [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

9 ≤ | 4x + 7 |

4x + 7 ≥ 9

4x ≥ 2

x ≥ [tex]\frac{1}{2}[/tex]

4x + 7 ≥ -9

4x ≥ -16

x ≥ -4

Answer:

Well you can divide 4.41 by 3 and then use that number and multiply it by 4

Step-by-step explanation:

Answer:

Using this equation: f(x) = 1.47x

The cost of 4 erasers is 5.88

each costs 1.47

Answer:

Rational

Step-by-step explanation:

A rational number is a number with two or fewer integers.

-51/5 = -5.2

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

- 51/5 is a rational number as it can be represented in p/q form where both p and q are integers and q is not equal to zero

Step-by-step explanation

Answer:

y=-1/4x+1

Step-by-step explanation:

The perpendicular equations slope is the negative reciprocal of the other lines, so if I had 2 as a slope, the perpendicular line's slope would be -1/2, I think. Then you just use the found slope and the given point to solve for b, then use the b value you get for the final equation.

Answer:

x = 0

Step-by-step explanation:

add 23 on both side and x equals zero

substitute x for 0, and the equation is still correct