All categories

2 years ago

Is 3x+12-2x equivalent to x +12? Use two properties of operations to justify your answer.

Mathematics

2 answers:

aev [14]2 years ago

8 0

Answer:

Yes, x + 12

Step-by-step explanation:

Simplify the following:

3 x - 2 x + 12

Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:

(3 x - 2 x) + 12

3 x - 2 x = x:

Answer: x + 12

Harlamova29_29 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

3x + 12 - 2x =

Use the commutative property of addition to change the order of the addition.

= 12 + 3x - 2x

Use the distributive property of addition over multiplication in reverse (which is factoring).

= 12 + x(3 - 2)

Do the operation: 3 - 2 = 1

= 12 + x * 1

Simplify x * 1 to just x.

= 12 + x

Use the commutative property of addition.

= x + 12

There you have x + 12 from 3x + 12 - 2x by using properties and operations.

You might be interested in

Philip wants to know the weight of a book to within half a gram. His weighing scales only weigh to within 10 grammes.

Andrei [34K]

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

8 0

2 years ago

I need help!! It’s proving trapezoids theorems

sweet [91]

Because ABCD is an isosceles trapezoid, the angles A and D are congruent.

BA and CD are congruent (given) and AD is congruent to itself (reflexive property).

Then triangles BAD and CDA form a pair of SAS triangles, so they are congruent.

BD and CA are corresponding parts in those triangles, so they are congruent (CPCTC).

7 0

2 years ago

Read 2 more answers

The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

2 years ago

What is question is asking

Pachacha [2.7K]

A) 72/910
b) 278/910
c) 57/910
d1) same as c) = 57/910
d2) 120/910
d3) 101/910
e) No, they DEPENDANT.
57% of Liberals approve citizenship against 15% of conservatives and 33% of Moderates

5 0

2 years ago

A rectangular picture has dimensions x and x + 10. The picture is in a frame 2 inches wide. The total area of the picture and th

GREYUIT [131]

Answer:

Step-by-step explanation:

7 0

2 years ago