9514 1404 393
Answer:
5x + 12 = 5x - 7
Step-by-step explanation:
There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...
5x + 12 = 5x - 7
This reduces to ...
19 = 0 . . . . . no value of x will make this be true: NO SOLUTION
Answer:
D: y=2|x|-1
Step-by-step explanation:
We need to find the equation which describes the graph
The general form of equation for this graph is y=|x|
The graph opens upwards so its positive
We cannot choose option (a) and option (d) because it has -2
Lets check with option b and d
In the graph, the y values starts at -1. (0,-1) is the vertex.
Lets plug in (0,-1) and check with option b
y=2|x|+1
-1= 2|0|+1
-1=+1, its false.
Lets check with option (d)
y=2|x|-1
-1= 2|0|-1
-1=-1, its true
Option D is the answer
It is saying that if Mr Newberry had 7 marbles, 3 would be red and 4 would be blue. Basically, the question is asking you to do this:
Red: 28/3 =
Blue: 28/4 =
Answer: 3 x 5
Step-by-step explanation: To find the prime factorization of 15, first create a factor tree with two branches. Since 15 ÷ 3 = 5, we know that 3 and 5 are factors of 15. So we write 3 and 5 at the bottom of the branches.
While 1 and 15 are also factors, we don't use them in out factor tree. That's because when finding the prime factorization, we always use numbers other than 1 and the number itself.
Next, we circle any prime factors in the factor tree. Since both 3 and 5 are prime, we circle both 3 and 5. Since we have circles at the bottom of all of our branches, we are finished.
So the prime factorization of 15 is 3 x 5.
Notice that we write our prime factorization as a multiplication problem. Think of the prime factorization of a number as the prime factors of the number that you multiply together to get the original number.
Answer:
Option C is the correct answer.
Step-by-step explanation:
Looking at the functions given,
Initial amount deposited into the account is $150 This means that the principal is
P = 150
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for x years. So
t = x years
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore, the
function that models the value in x years of an investment at 3% annual interest compounded quarterly would be
150 (1+0.03/4)^4×x
150 (1 +.0075)^4x
