Answer:
length and width = 40 and 10 ft.
Step-by-step explanation:
The perimeter of a rectangular toddler play area is 100 feet.
Perimeter = 2(length + width)
Let the width = w
The length is 10 feet more than 3 times the width. Length = 10+(3w)
now put the values
100 = 2(10+3w + w)
100 = 2w + 20 + 6w
100 = (2w + 6w) + 20
100 = 8w + 20
8w = 100 - 20
w = 
w = 10 feet.
Now Length = 10+ (3w)
= 10+( 3 × 10)
= 10 + 30
= 40 feet
Therefore, length = 40 feet and width = 10 feet
Answer:
7. f(x) = 4x+1
8. g(x) = 3^x
9. g(x)
Step-by-step explanation:
<h3>7.</h3>
The graph of f(x) is a straight line that crosses the y-axis at y=1, and passes through another grid intersection at (1, 5). This grid intersection is 1 unit right and 4 units up from the y-intercept. This means the slope of the line is ...
slope = rise/run = 4/1 = 4
In slope-intercept form, the function f(x) is ...
f(x) = mx +b . . . . . . where the slope is m and the y-intercept is b
f(x) = 4x +1
__
<h3>8.</h3>
The horizontal asymptote and the rapid rate of rise of g(x) tells us this is an exponential function. The generic exponential function is of the form ...
g(x) = a·b^x
The value of 'a' is the y-intercept, which is the same as for f(x). That is, a=1. The value when x=1 is ...
g(1) = a·b^1 = ab
We observe from the graph that g(1) is 3, so ...
g(1) = 3 = ab = 1b ⇒ b = 3
Using the values of 'a' and 'b', we have ...
g(x) = 3^x
__
<h3>9.</h3>
We observe that g(x) is already greater than f(x) for x > 2, so g(x) will be greater in the long run.
(In the long run, an exponential function will exceed <em>any</em> polynomial function.)
I think u mean thousandths
after the decimal point each number from left to right is written with "-ths" at the end
like
10 = 1 tens
0.1 = 1 tenths
Answer:
Withdrawals: $346.48
Step-by-step explanation:
862.91 + 794.26 = 1657.17
1657.17
- 1310.69 = $346.48
16 + 4x = 10 + 14
16 + 4x = 24.
4x = 24 - 16
4x = 8
x = 8 ÷ 4
x = 2
8x = 2 × 8
8x = 16
Final answer = 16.
