Answer: D
Step-by-step explanation:
this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.
Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x
for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.
your finished equation would be: y=-x+2
i hope this is helpful
Answer:
can you just mark me brainlest
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Remember the notation and rules of quantifiers. ∀ is the universal quantifier and ∃ is the existential quantifier. To negate ∀x p(x) , write ∃x ¬p(x). To negate ∃x p(x) , write ∀x ¬p(x)
Part I:
A) None of life's problems have a simple solution.
B) All of life's problems have a simple solution.
C) Some of life's problems have a simple solution
D) All of life's problems have a simple solution (notice how the original statements in B and D mean exactly the same)
E) Some of life's problems do not have a simple solution.
Part II: Let x be a variable representing one of life's problems, y be a variable representing solutions, p(x):="x has a simple solution", and q(x,y):="y is a simple solution of x".
A) (∀x)(¬p(x)) or ¬(∃x)(p(x))
B) (∀x)(∃y)(q(x,y))
C) (∃y)(∀x)(q(x,y)). Note that the order of quantifiers is important. B) and C) have different meanings. In C) there is an universal solution of all problems, in B) each problem has its solution.
D) (∀x)(p(x))
E) Same as C)
9514 1404 393
Answer:
g(x) = 3x +5
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = 1/3y -5/3 . . . . . use the definition of f(x)
3x = y -5 . . . . . . . . multiply by 3
3x +5 = y . . . . . . . .add 5
Then the inverse function is ...
g(x) = 3x +5
Answer:
The proportion of these light bulbs that will last less than the advertised time is 18.94% or 0.1894
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x - mean)/SD
= (1500-1550)/57 = -50/57 = -0.88
So the proportion we will need to find is;
P( z < -0.88)
We shall use the standard score table for this and our answer from the table is 0.1894 which is same as 18.94%
