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leonid [27]
3 years ago
12

What is the value for f(x) = ^2x - 100 when x = 2?

Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0
X=2
f(x)=4^2x-100
f(2)=4^2(2)-100
f(2)=4^4-100
f(2)=256-100
f(2)=156===> Answer
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F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
Find the area of the rhombus.<br> 4.32 m2<br> 2.16 m2<br> 1.08 m2<br> 1.05 m2
S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : 0.9*2=1.8 and 1.2*2=2.4

The formula of area of rhombus is : \frac{pq}{2} where p and q are the length of diagonals.

So plugging the values of diagonals in formula, the area will be :

Area = \frac{1.8*2.4}{2}

Area = \frac{4.32}{2}

Area = 2.16 \ m^2   ................. Answer

Hope it will help :)

6 0
3 years ago
Please help with this will give brainliest to the first answer!
kozerog [31]

Answer:

your answer is 415 in^3

Step-by-step explanation:

ok the equation  in finding the volume of a come is

V= \pi r^2 \frac{h}{3}

step 1: plugin

\pi =3.14

3.14 x 6^2 x 11/3

3.14x 36 x 11/3 =   (6/3 turns into a 2)

113.04x 11/3= 114. 48, when rounded, it's going to give you 415 in^3

5 0
2 years ago
Please solve it 90 POINTS please help- PLEASE HELP its Identify the following for the quadratic relations please slove it all pl
sdas [7]

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

\boxed{\mathrm{view \: attachment}}

8 0
2 years ago
a group of 266 people is called to jury duty in court. Each jury includes 12 jurors plus to alternates. How many complete juries
nekit [7.7K]
There are 14 positions. There are 266 choices for the first juror, 265 for the second, 264 for the third, etc. 266*265*264*...*252=<span>5.93893009829e+33, or about 6,000,000,000,000,000,000,000,000,000,000,000 complete juries. Hope this helps!</span>
7 0
3 years ago
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