This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.
4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400
2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20
4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4
After the units you have to put the decimal point and all digits below it will be decimal values.
7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7
7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07
0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000
To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:
400+20+4+0.7+0.07+0.000
424.770
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
If I were you, I would make the starting point (3,-6). From there, you will want to use the slope of -1/2 (go down 1 unit and to the right 2 units and draw a point)
Answer:
240
Step-by-step explanation:
We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.
Hope I helped
Answer:
<h3>1 secs</h3>
Step-by-step explanation:
Given the height of the discus can be modeled by the equation y=−16x
^2
+32x+4, where y represents the height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.
Velocity v = dy/dx = 0
dy/dx = -32x + 32
0 = -32x + 32
32x = 32
x = 1 secs
Hence it will take the discus 1 secs to reach its maximum height
