All categories

3 years ago

Solve the compound inequality.

Mathematics

2 answers:

Temka [501]3 years ago

7 0

Answer:

Option 4

Step-by-step explanation:

8 < x + 2 《 16

6 < x 《 14

-Dominant- [34]3 years ago

3 0

Answer:

Step-by-step explanation:

hello :

2 < (x+2)/4 ≤4

multiply by 4 : 8 < x+2 ≤16

Subtract 2 : 6 < x ≤14

You might be interested in

X squared +20 equals 2X

Ivahew [28]

x={1+i√19 , 1-i√19}

solve this by using quadratic formula

5 0

3 years ago

A box with a square base and an open top is being constructed out of A cm2 of material. If the volume of the box is to be maximi

viktelen [127]

Answer:

Side length = $\sqrt{\frac{A}{3} }$ cm , Height = $\frac{1}{2} \sqrt{\frac{A}{3} }$ cm , Volume = $\frac{A\sqrt{A}}{6\sqrt{3} }$ cm³

Step-by-step explanation:

Assume

Side length of base = x

Height of box = y

total material required to construct box = A ( given in question)

So it can be written as

A = x² + 4xy

4xy = A - x²

$y = \frac{A - x^{2} }{4x}$

Volume of box = Area x height

V = x² ₓ y

V = x² ₓ ( $\frac{A - x^{2} }{4x}$ )

V = $\frac{Ax - x^{3} }{4}$

To find max volume put V' = 0

So taking derivative equation becomes

$\frac{A - 3 x^{2} }{4} = 0$

A = 3 $x^{2}$

$x^{2}$ = $\frac{A}{3}$

x = $\sqrt{\frac{A}{3\\} }$

put value of x in equation 1

y = $\frac{A - \frac{A}{3} }{4\sqrt{\frac{A}{3} } }$

y = $\frac{2 \sqrt{\frac{A}{3} } }{4 \sqrt{\frac{A}{3} } }$

y = $\frac{1}{2} \sqrt{\frac{A}{3} }$

So the volume will be

V = $x^{2}$ × y

Put values of x and y from equation 2 & 3

V = $\frac{A}{3} (\frac{1}{2} \sqrt{\frac{A}{3} } )$

V = $\frac{A\sqrt{A}}{6\sqrt{3} }$

8 0

4 years ago

A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is a

Alecsey [184]

Answer:

The median or Answer d

Step-by-step explanation:

i just do it already

4 0

3 years ago

Answer plz I need the answer

Dafna11 [192]

Answer:

D) 3x + 33

Step-by-step explanation:

3(x + 11)

3x + 33

Hope this helps! Pls give brainliest!

3 0

2 years ago

Read 2 more answers

Eli's parents open a savings account for when he was born in the account earns compound interest compounded annually how much mo

timofeeve [1]

Answer:

$1095

Step-by-step explanation:

4 0

3 years ago