Answer:
Wait what are u asking?
Step-by-step explanation:
Answer:
Step-by-step explanation:
y = 4x - 5 + 3 = 4x - 2
It's an equation of a line in the slope-intercept form.
y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.
The domain of a linear function is the set of all real numbers.
If a slope of linear function is different than 0, then the range is the set of all real numbers.
I believe you should try to plug in the ordered pair to see if the solutions work.
The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.
Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.
Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.
(16,-3) is a solution to both equations.
Hope this helps!
Answer:
the probability that Ron will get hit by a pitch exactly once is 36.71%
Step-by-step explanation:
The random variable X= number of times Ron is hits by pitches in 23 plate appearances follows ,a binomial distribution. Where
P(X=x) = n!/(x!*(n-x)!)*p^x*(1-p)^x
where
n= plate appearances =23
p= probability of being hit by pitches = 21/602
x= number of successes=1
then replacing values
P(X=1) = 0.3671 (36.71%)
Answer:
Step-by-step explanation:
In the exponential growth/decay function
, in our situation,
y is the number of ants remaining in the colony after the growth or decay,
a is the initial number of ants in the colony, and
b is the growth/decay rate. Rule: if b is greater than 1, the function is growth; if b is greater than 0 but less than 1, the function is decay.
Our equation looks like this (it's given):
a = 50, which is the initial number of ants in the colony.
b = .8 (which actually means that then number of ants is declining by 20% each week). Since .8 is a fraction of 1, this is decay.
So far, we know that 1 and 4 are true. Let's look at 5. We have to do some solving to find out if it's true or not. If the number of ants after x = 2 weeks is 32, then we plug in 2 for x and see if the y we get as the answer is 32:
and
y = 50(.64) so
y = 32
5 is true as well. Let's test 6 by replacing x with 8 and seeing if y = 10:
and
y = 50(.16777216) so
y = 8.388
6 is not true.
1, 4, 5 are true
