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sergey [27]
3 years ago
9

The expression 12(x + 4) represents the total cost of CDs Mei bought in April and May at $12 each. Which property is applied to

write the equivalent expression 12x + 48?
A- Associative Property of Addition
B- Associative Property of Multiplication
C- Commutative Property of Multiplication
D- Distributive Property
Mathematics
2 answers:
s2008m [1.1K]3 years ago
7 0
D because you have to distribute the twelve to complete the equation
aliya0001 [1]3 years ago
4 0

Answer:

Option D is correct.

Distributive Property.

Step-by-step explanation:

The distributive property says that:

a \cdot (b+c) = a\cdot b + a\cdot c

Given the expression:

12(x+4)

which represents the total cost of CDs Mei bought in April and May at $12 each.

12(x+4)

Using distributive property, we have;

12 \cdot x + 12 \cdot 4

Simplify:

12x + 48

Therefore, the property which is applied to write the equivalent expression 12x+ 48 is, distributive property

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Which if the following is the equation of a line that passes through the points (2,5) and (4,3)
Taya2010 [7]
Hi there!

First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).

S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1

Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.

(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7

(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7

The two equations came out the same! Which is completely okay, and happens sometimes. 

Hope this helps!! :)
If there's anything else that you're needing help with, don't be afraid to reach out!


3 0
3 years ago
Need help please answer
leonid [27]

Answer:

the answer is 4-x^2

Step-by-step explanation:

-2x

and 2x cancel out

3 0
2 years ago
Read 2 more answers
The Math Club bought 16 graphing calculators for $765. The TI-70 model costs $40 and
Afina-wow [57]

Answer:

They bought 5

Step-by-step explanation:

65x+40y=765

65(5)+40(11)=765

5 0
2 years ago
Consider the problem $minimize$ $f(x)=x^4-1$. solve this problem using newton's method. start from $x_0=4$ and perform three ite
stellarik [79]
F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...

X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.
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Solve for j. -1j+1&gt;2<br> Please help.
prohojiy [21]
You can use photomath for this
6 0
2 years ago
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