Evaluate the expression. Will choose brainliest

Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.

Given that:

[tex]C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }[/tex]

(a): The domain of the function

Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.

t, cannot take negative values (i.e. it is not possible to have a negative time).

The least possible value of t is 0

So, the domain of the function based on the context is:

[tex]t \ge 0[/tex]

(b) The greatest concentration of the medication

From the graph (see attachment), the maximum y-value is 5.

Hence, the greatest concentration of the medication is 5 mg/L

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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.

A function assigns the value of each element of one set to the other specific element of another set.

A.) Given the function of the concentration of medication in the body as to[tex]C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}[/tex] where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.

B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.

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Amount of total commission is $1,956.8 (Approx.)

Given:

Percent of commission upto $6,000 sale = 9% (Misprint)

Percent of commission over $6,000 sale = 14%

Amount of total sales = $16,120

Find:

Amount of total commission

Computation:

Amount of commission upto $6,000 sale = 6000 × 9%

Amount of commission upto $6,000 sale = $540

Amount remain = 16120 - 6000

Amount of commission upto $6,000 sale = $10,120

Amount of commission over $6,000 sale = 10,1200 × 14%

Amount of commission over $6,000 sale = $1,416.8

Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale

Amount of total commission = 540 + 1,416.8

Amount of total commission = 1956.8

Amount of total commission = $1,956.8 (Approx.)

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Answer:

C

Step-by-step explanation:

all whole numbers can be written as fractions that is over 1

Answer:

hence the required midpoint of the given line is (9,5)

Answer:

[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]

The answer is :(4, 10)

Answer:

[tex]5x + 6y = 42[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

bus = 90/360 x 60 = 15

walk = 120/360 x 60 = 20

not sure about bike and car

Answer:

Bike=5

Walk=20

Step-by-step explanation:

Answer:

q is 4

Step-by-step explanation:

[tex]gradient = \frac{y_{2} - y_{1} }{x _{2} - x _{1} } \\ [/tex]

let gradient of the line joining (4, q) to (6, 5) be x

let gradient of the line joining (0, 0) to (4, q) be y

[tex]y = 2x[/tex]

therefore:

[tex]( \frac{q - 0}{4 - 0} ) = 2( \frac{5 - q}{6 - 4} ) \\ \\ \frac{q}{4} = \frac{2(5 - q)}{2} \\ \\ \frac{q}{4} = 5 - q \\ \\ q = 4(5 - q) \\ q = 20 - 4q[/tex]

collect like terms:

[tex]q + 4q = 20 \\ 5q = 20 \\ q = \frac{20}{5} \\ \\ q = 4[/tex]

Let,

As we know,

then,

→ [tex]\frac{q-0}{4-0} = 2(\frac{5-q}{6-4} )[/tex]

      [tex]\frac{q}{4} = \frac{2(5-q)}{2}[/tex]

      [tex]\frac{q}{4} = 5-q[/tex]

By applying cross-multiplication, we get

      [tex]q = 4(5-q)[/tex]

      [tex]q = 20-4q[/tex]

By adding "4q" both sides, we get

[tex]q+4q= 20-4q+4q[/tex]

     [tex]5q = 20[/tex]

       [tex]q = \frac{20}{5}[/tex]

       [tex]q = 4[/tex]

Thus the above value is correct.

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Answer:

A

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

Answer:

see explanation

Step-by-step explanation:

Solving an equation and obtaining the final line as

2 = 2 ( that is both sides equal )

Indicates that the equation has an infinite number of solutions

Answer:

Step-by-step explanation:

A variable

Answer:

All I can say is that it isn't linear, as the number would then be the same every year

Answer:

B. exponential; y= 91 * 0.77x

Step-by-step explanation:

The Answer is A.

y=91*0.77^x

I just substituted the x on all of them and only one got the corrct y which is A.

Answer:

12742π kilometers

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(r)π

r = 6371

Circumference = 12742π

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

12742

Step-by-step explanation: Khan Academy

so it'd be 600 / 3 which gives you 200.00 that's what each person paid a day given that there's 5 five times 200 is one day 1000.00x 8 = ($8000.00) for 5 people for 8 days

Answer:

m is the slope so plug in y=6x+b

and b is the y intercept so the equation is y=6x+5

Step-by-step explanation:

Answer:

The above given statement is true

Hi ;-)

[tex]y-4=3\\\\y=3+4\\\\\boxed{y=7}[/tex]

Answer:  7  

.....7-4=3

Answer:

[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]

Answer:

\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}

=(4x+8)(2x−12)

=(8x

2

−48x+16x−96)

=(8x

2

−32x−96)

=8(x

2

−4x+12)

Answer:

m ZC = 71 degrees. Option C.

Step-by-step explanation:

Triangles always measure a total of 180 degrees.

47 + 62 + c = 180

109 + c = 180

c = 71

Answer:

71°

Step-by-step explanation:

The total angles in a triangle should equal 180°

a + b + c = 180

47 + 62 + c = 180

109 + c = 180

180 - 109 = 71

c = 71°

Hope this helped!

Answer:

56

Step-by-step explanation:

show your work

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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According to the figure:-

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Answer:

The answer is 200000 milligrams

Hope that helped you

Answer:

19, 25, 32

Step-by-step explanation:

Find the difference within each number:

5 -> 7: + 2

7 -> 10: + 3

10 -> 14: + 4

With each difference, + 1 is added so we can infer the next difference will be + 5.

14 + 5 = 19

Next is + 6.

19 + 6 = 25

Now + 7.

25 + 7 = 32

Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

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Answer:

Step-by-step explanation:

x = first number

x + 2 = second number

x + 4 = third number

5(x + 2) = 6 + 2x + 2 ( x + 4)

5x + 10 = 6 + 2x + 2x +8

5x - 4x = 14 - 10

x = 4

The first number (x) = 4

The second number ( x + 2) = 4 + 2 = 6

The third number (x + 4) = 4 + 4 = 8

Answer:

2x + 2x +2 + 2x +4 = 6x +6 =Sum

5 * (2x +2) = 2 * (2x + 2x +4) +6

10x + 10 = 8x + 8 + 6

2x = 4

x = 2

So the numbers are:

2x or 4

2 x + 2 = 6

2x + 4 = 8

Double-Check

5 * 2nd integer = 30

2 *  (1st + 3rd integers) = 24

30 is 6 more than 24

Success!!!

Step-by-step explanation: