Answer:
negative infinite, negative 72
Step-by-step explanation:
i looked it up on google
Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>
ANSWER
EXPLANATION
We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].
The average rate of change of f(x) over the interval [a,b]:
If the average rate of change over the interval [3, 5] is 19, then;
From the to table f(5)=13
Answer:
(-6, -4)
Step-by-step explanation:
Use substitution.
Since y is already isolated, substitute it into the y of: 4x+3y=-36.
You should get: 4x+3(x+2)=-36
Simplify this and you'll get:
4x+3x+6=-36
Add both of the variables:
7x+6=-36
Add -6 to both sides, (because there is a -36 on one side, and a 6 on the other, you have to add a negative to eliminate the 6 whilst adding to the -36)
7x=-42
Divide both sides by 7:
x=-6
Now substitute this into y=x+2
y=-6+2
y=-4
We calculate for the actual length of the thing in the model that measures 25.25 by multiplying this value by the scale factor. That is,
(25.25 cm) x (55.5 m / 15 cm) = 93.425 m
Therefore, the real dimension of the object is approximately 93.43 m.
