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3 years ago

Which expression below is equivalent to 2x + 8?

Mathematics

1 answer:

mash [69]3 years ago

7 0

Answer: D) x+4+x+4

The two x terms combine to x+x = 2x

The other pair of like terms, the constants, add to 4+4 = 8

Overall we get 2x+8

2x+8 is also equivalent to 2(x+4) when you factor out the GCF 2.

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Ten time the number of balloons is 120. (use b as your variable) write as a equation

Ivahew [28]

Answer:

10•b=120

Step-by-step explanation:

10•b=120 is the equation your looking for, if your trying to find out what the variable equals then b=12

3 0

3 years ago

Two banks are running promotions on savings accounts in anticipation of higher interest rates in the future.

chubhunter [2.5K]

Answer:

<h2>First Federal Bank is best</h2>

Step-by-step explanation:

First national bank gives:

$5,449.03 after 4 years being compounded annually at a rate of 2.15%

First federal bank gives:

$5,468.12 after 4 years at a rate of 2.25%

Please let me know if I did anything wrong. I will immediately fix my mistakes :)

4 0

3 years ago

What two positive real numbers whose product is 21 have the smallest possible sum?

GalinKa [24]

Answer:

$x=\sqrt{21}$

$y=\sqrt{21}$

Step-by-step explanation:

Let x and y are the two positive real numbers

product of two numbers is 21

$x y=21$

$y=\frac{21}{x}$

The sum of the two numbers is f(x) =x+y

Replace y with 21/x

$f(x) =x+\frac{21}{x}$

we need to find smallest possible sum , so we take derivative using power rule

$f'(x)= 1-\frac{21}{x^2}$

when sum is minimum then the derivative is equal to 0

$0= 1-\frac{21}{x^2}$

$0=\frac{x^2-21}{x^2}$

multiply both sides by x^2

$x^2-21=0$

$x^2=21$

Take square root on both sides

$x=\sqrt{21}$

$y=\frac{21}{x}$

$y=\frac{21}{\sqrt{21}}$

$y=\sqrt{21}$

3 0

4 years ago

This type of member variable may be accessed before any objects of the class have been created.

alina1380 [7]

Answer:

d. static

Step-by-step explanation:

This is a question about Java programming.

A class contains information about it's members(objects). Private, public or inline variables must be related to an object, that is, an object has to be created before the variable is acessed.

Static variables, otherwise, may pertain to the class, and not to the object, that is, and thus, the correct answer is given by option d.

4 0

3 years ago

Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. It's mass is

Lelu [443]

Density $\rho$
is given by $\rho = frac{m}{V}$
where m is the mass of the object
V is the Volume of the object

let m1 be the mass of the smaller cube
let m2 be the mass of the larger cube

you know that the larger cube has twice the mass of the smaller cube
or m2=2*m1

so apply this information into the density equation and you can determine the volume of the larger cube

6 0

3 years ago