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3 years ago

Given g(x)=c^2-x+3 which is g(a+1) in simplest form

Mathematics

1 answer:

OlgaM077 [116]3 years ago

7 0

Answer:

We know that:

$g(x)=c^2-x+3$

so:

$g(a+1)=c^2-(a+1)+3=c^2-a-1+3=\boxed{c^2-a+2}$

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The concentration C (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (50t)/(t^2+25) In o

NARA [144]

Answer:

Step-by-step explanation:

<u>Functions </u>

The problem describes a function that expresses the concentration of an antibiotic in mg/dl vs time in hours as:

$\displaystyle c(t)=\frac{50\ t}{t^2+25}$

We need to find the first value of t such that

$\displaystyle c(t)\geq 4$

It means that

$\displaystyle \frac{50\ t}{t^2+25}\geq 4$

Operating with the inequality

$\displaystyle 50\ t\geq 4\ t^2+100$

Rearranging and dividing by 2, we have a polynomial inequality:

$\displaystyle 2t^2-25t+50\leq 0$

Factoring

$\displaystyle 2(t-10)\left (t-\frac{5}{2}\right )\leq 0$

There are two possible values for t, both valids because they are positive

$\displaystyle t=\frac{5}{2}=2.5, \ t=10$

We need to find the first value, i.e.

$t=2.5 \ hours$

Now for the graphic method, we plot the graph for the function and a horizontal line at c=4 to find the values of t.

The graph is shown in the image provided below. We can see both values where the funcion and C=4 intersect. Both values coincide with the previously analitically found values

4 0

3 years ago

A1=8 and an=-5an-1-n then find the value of a4

DerKrebs [107]

Can someone help my cousin?

Which of the following is NOT one of the three states of water?

gas

8 0

2 years ago

Read 2 more answers

Someone plz help I need this answer quick !

Ivahew [28]

The answer is 5 months, with the cost of $85. You can find this answer by first writing the charges as 12x + 25 and 10x + 35. Then, you set them equal to each other and solve to find x, which is the number of months.
12x + 25 = 10x + 35
- 10x
2x + 25 = 35
- 25
2x = 10
÷ 2
x = 5

Now that we know what x is, we can substitute it in and get 10(5) + 35 = 50 + 35 = 85.
I hope this helps!

8 0

4 years ago

Solve the inequality x + 2 <6.

jok3333 [9.3K]

Answer:

Hey!

Step-by-step explanation:

x < 4 Is your answer.. Here is the graph :)

Your answer for the second one is x > 3

Graph is also down below :)

Hope this helps!

4 0

3 years ago

Find the value of each angle mentioned above.

nataly862011 [7]

Answer:

36°, 42°, 72°, 102°, 108°

Step-by-step explanation:

Angles at a point = 360°

Therefore:

(3x - 6) + x + 3x + 2x + (x + 6) = 360°

Open parthenogenesis

3x - 6 + x + 3x + 2x + x + 6 = 360

Add like terms

10x = 360

Divide both sides by 10

x = 36

✔️Value of each angle:

Plug in the value of x in each expression

x = 36°

3x - 6 = 3(36) - 6 = 102°

3x = 3(36) = 108°

x + 6 = 36 + 6 = 42°

2x = 2(36) = 72°

3 0

3 years ago