This number in standard form would be 8,400,802
because
14 hundred thousands = 1 million 4 hundred thousand plus 7 million = 8,400,000
8 hundrds = 800 plus 2, 1's = 2.
Answer:
a is less than or equal to 7
Step-by-step explanation:
This is the case because we can treat the less than or equal to sign as an equal sign. The only time it changes is when we divide by a negative, but we do not do that in this problem. First, you subtract 7 from both sides. That leaves us with a 4a on one side and a 28 on the other. Then, you divide both sides by four to get a is less than or equal to 7. I hope this helps!
<h2>9 ft</h2>
Step-by-step explanation:
The height of kangaroo after it jumps is represented by the function 
, where 
is in seconds, height is in feet.
To find the maximum height that the kangaroo jumps, we need to maximise 
.
The minimum/maximum value of a quadratic expression 
is given by 
.
As the coeffecient of quadratic term is negative, the function has a maxima.
Maximum value = 
.
∴ Maximum height = 9 ft
Answer:
Jack's age is 36
Wade's age is 16
Step-by-step explanation:
Let jack's age be "j"
and
Wade's age be "w"
First, we have:
6 yrs AGO, Jack was 3 times as Wade, so we can write:
j-6 = 3(w-6)
Then, we have:
4 yrs from NOW, Wade will be HALF as Jack, so we can write:
w+4 = 0.5(j+4)
Lets simplify the first equation:
j-6 = 3(w-6)
j - 6 = 3w - 18
Solving for j:
j = 3w - 18 + 6
j = 3w - 12
Now, simplifying the second equation:
w+4 = 0.5(j+4)
w+4 = 0.5j+2
w = 0.5j - 2
Now we replace this equation with j's expression we found from first equation:
w = 0.5j - 2
w = 0.5(3w - 12) - 2
w = 1.5w - 6 - 2
0.5w = 8
w = 16
Now, finding j:
j = 3w - 12
j = 3(16) - 12
j = 36
So,
Jack's age is 36
Wade's age is 16
