Answer:
{(3,2), (7,4),(5,-1)}.
Step-by-step explanation:
To find the points reflected through y=x, you are really being asked to find the inverse relation. That means we are just swapping x and y per point; like (a,b) to (b,a).
So (2,3) when reflected through y=x becomes (3,2).
(4,7) when reflected through y=x becomes (7,4).
(-1,5) when reflected through y=x becomes (5,-1).
So the inverse relation is:
{(3,2), (7,4),(5,-1)}.
Answer:
Step-by-step explanation:
Step-by-step explanation:look at the GCF and factor.
Both 3 and 15 share the GCF of 5. And both expressions share the two variables x and y.
The bell curve attached below shows the normal distribution of the data.
We are looking the value of X such as the area to its left gives the probability of 0.75
We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)
The z-score is = 0.7734
Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112
Hence the third quartile is 112
Answer:
18.05
Step-by-step explanation:
Answer:
c) x= 15
d) x= 5
Step-by-step explanation:
c)4x + 5+ 7x +10=180
solve it like usually
for d) 3x + 15+12x=90