The equivalent expression for the given expression (w+9)+3 using associative property is w + 12
<u>Solution:</u>
Given that, expression is ( w + 9 ) + 3
We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3
The associative property states that you can add or multiply regardless of how the numbers are grouped
By above definition, we get
(a + b) + c = a + (b + c)
So, now let us apply the above property to the given expression,
Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12
Hence, the equivalent expression for the given expression is w + 12
Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2
Answer:
Interval is given with 97% confidence. Thus there is 3% probability that interval is not true.
Step-by-step explanation:
In Statistics, estimated intervals are given with some confidence level. In this example person develop the interval with 97% confidence.
<em>Statistically</em>, this means that the person can be 97% sure (not 100%) that population mean is 74.3 < µ < 78.3. There is still 3% probability that population mean falls outside of the interval.
Small sample size may also lead wrong estimates.
Answer:
step 1:
2,-5
step 2:
7,1
step 3:
6/5
Step-by-step explanation:
Answer:
70 = 1/2 b *8
17.5 inches =b
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
We know the area and the height
70 = 1/2 b *8
70 = 4b
Divide each side by 4
70/4 = 4b/4
17.5 =b
