Answer:
x = 11
distributive law
additive law
multiplication property
Step-by-step explanation:
Given in the question an equation
4(x-7) = 2x-6
Distributive law
a(b+c) = ab +ac
4x - 4(7) = 2x - 6
4x -28 = 2x - 6
Use the addition property of equality to reduce the 2x on the right.
4x - 2x - 28 = 2x - 2x -6
4x -2x -28 = -6
Use the addition property of equality to reduce -28 to zero on the left.
4x - 2x- 28 + 28 = -6 + 28
2x = 22
Use the multiplication property of equality to reduce 2x to just x
2x2 = 22/22
x = 22/2
x = 11
Answer:
The other solution is 12.
Step-by-step explanation:
Break the solution into groups: (x^2+2x)+(-12x-24)
Factor out the x^2 from the first group to get x(x+2)
Factor out the -12 out of the second group to get -12(x-12)
Here we get (x-12)(x+2)
You can see solutions are -2 and 12.
Answer:
Step-by-step explanation:
Given that divisor is 24 and dividend is 1344 and we are to use box method.
Long division is often considered one of the most challenging topics to teach. Luckily, there are strategies that we can teach to make multi-digit division easier to understand and perform.
The Box Method, or the Area Model, is one of these strategies. It is a mental math based approach that will enhance number sense understanding. Students solve the equation by subtracting multiples until they get down to 0, or as close to 0 as possible.
For example this method is shown below:
I step is to find in multiples of 10 or 100 the greatest divisor
24) 1344( 500
1200
--------
144
Step 2: Next step is to divide 144 by 24
24)144( 6
144
----
0
Thus we find that quotient is quotient in I step + quotient in 2nd step
= 50+6 = 56
and remainder is zero.
Answer:
A. No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.
Step-by-step explanation:
No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. The central limit theorem says that if we take a large sample (i.e., a sample of size n > 30) of any distribution with finite mean 
and standard deviation 
, then, the sample average is approximately normally distributed with mean and variance 
.
Answer:
A
Step-by-step explanation:
To translate a graph right you -3 from x. To translate a graph up you +4.
