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xz_007 [3.2K]
3 years ago
12

If , f(x)= 3/(x+2) minus the square root of x-3, complete the following statement: f(19) = _____ (need help as soon as possible

not sure if the answer is just 19?)
Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0
All you need to do is plug 19 in for x and solve.

f(19) = 3/(19+2) - sqrt(19-3) = 1/7 - sqrt(16)= 1/7 - 4

The answer is -3.8571 or as a fraction -27/7

Natasha_Volkova [10]3 years ago
4 0

Answer:

f(x)= \frac{3}{x+2}- \sqrt{x-3}

the given function has domain

x+2≠0

x≠ -2

x-3≥0

x≥3

That is , x ∈ [3,∞]

Now, calculating ,f (19)

f(19)= \frac{3}{19+2}-\sqrt{19-3}\\\\ = \frac{3}{21} - \sqrt{16}\\\\ f(19)=\frac{1}{7}-4\\\\=\frac{1-28}{7}\\\\=\frac{-27}{7}

f(19)=-[3\frac{6}{7}]

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Find the ratio of 3 3/4 to 7 1/4
Sergio039 [100]

Answer:

  15 : 29

Step-by-step explanation:

  (3 3/4) / (7 1/4) = ((3·4+3)/4) / ((7·4+1)/4)

  = (15/4) / (29/4) = 15/29

The ratio of the two numbers is 15 : 29.

5 0
3 years ago
90 POINT QUESTION!!!
Aleks [24]

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.

Replacing with the values given:  

Sin 45 = x/ 13

Solving for x  

sin45 (13) =x  

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.  

7 0
2 years ago
Which calculation should be used to calculate s9 for the arithmetic sequence an=3n-1
Ganezh [65]

Answer: Choice A

S9 = (9/2)*(2+26)

===============================================

The formula is

Sn = (n/2)*(a1+an)

where

Sn = sum of the first n terms (nth partial sum)

n = number of terms

a1 = first term

an = nth term

In this case,

n = 9

a1 = 2 (plug in n = 1 into the formula an = 3n-1 and simplify)

an = a9 = 26 (plug n = 9 into the formula an = 3n-1 and simplify)

So,

Sn = (n/2)*(a1+an)

S9 = (9/2)*(2+26)

will help us find the sum of the first 9 terms of this arithmetic sequence

7 0
3 years ago
Read 2 more answers
Find the volume of a cylinder if it is 2 feet tall and has a diameter of 1.5. Use 3.14 for pi.
olga55 [171]

Answer:

3.5325

Step-by-step explanation:

V = 3.14*(.75^2)(2)

You divide the diameter by 2 to get the radius which is 1.5/2 =.75

r=.75

h=2

and you use the equation for volume of cylinder which is V = pi x radius squared x height

5 0
2 years ago
Read 2 more answers
Solve for x 2/x+2 + 1/5 = 6/x+5<br><br> x = 0<br> x = –13<br> x = 13<br> x = 0 and x = 13
Juliette [100K]

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x^2-13x=0\\\\x(x-13)=0\iff x=0\ \vee\ x-13=0\qquad\text{add 13 to both sides}\\\\\boxed{x=0\ \vee\ x=13}

5 0
3 years ago
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