3 years ago

Which system of inequality is represented by the graph below

Mathematics

1 answer:

arlik [135]3 years ago

5 0

That would be option C.

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Find the value of the variable.

Step2247 [10]

Answer:

sin 30=14/x

x=14*2

x=28

and

x=√{28²-14²}

x=14√3

4 0

3 years ago

Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3).

Soloha48 [4]

Step 1: evaluate f(x+h) and f(x)

We have

$f(x+h) = -(x+h)^2+6(x+h)-5 = -(x^2+2xh+h^2)+6x+6h-5$

$= -x^2-2xh-h^2+6x+6h-5$

And, of course,

$f(x)=-x^2+6x-5$

Step 2: evaluate f(x+h)-f(x)

$f(x+h)-f(x)=-x^2-2xh-h^2+6x+6h-5-(-x^2+6x-5)=-2xh-h^2+6h$

Step 3: evaluate (f(x+h)-f(x))/h

$\dfrac{f(x+h)-f(x)}{h}=-2x-h+6$

Step 4: evaluate the limit of step 3 as h->0

$f'(x) = \displaystyle \lim_{h\to 0} \dfrac{f(x+h)-f(x)}{h}=-2x+6$

So, we have

$f'(1) = -2\cdot 1+6 = 4,\quad f'(2) = -2\cdot 2+6 = 2,\quad f'(3) = -2\cdot 3+6 = 0$

5 0

3 years ago

Mark incorrectly evaluated the expression 4x+12-x to the power of 2 where is x-2. Identify and correct mark’s mistake.

nirvana33 [79]

Answer:

The value of $4x+12-x^2$ is 16.

Step-by-step explanation:

The given expression is $4x+12-x^2\ at\ x=2$ .

Put x = 2 in the above expression as follows :

$4x+12-x^2=4(2)+12-(2)^2\\\\=8+12-4\\\\=16$

Hence, the final answer is 16.

5 0

3 years ago

Is 8/18 closer to 0 1/2 or 1

marishachu [46]

1/2, 8/18 = 4/9, which is close to 4/8 wich is equal to 1/2

3 0

3 years ago

Read 2 more answers

James’ college charges tuition based only on the number of credits a student takes. James paid $1218 to take 12 credits in the f

Zielflug [23.3K]

Answer:

16 credits

Step-by-step explanation:

Divide $1218 by 12 to find out how much 1 credit costs. It's $101.50

Because he paid $1624 total for spring, you'll divide that by $101.50 because it's per credit.

1624/101.5 = 16 credits.

hope this is good enough

8 0

4 years ago

Read 2 more answers