Answer:
D. 
Step-by-step explanation:
Area of rectangle = 
Length of rectangle = (x - 8)
Width = (x + 11)
Area of rectangle = 
Expand the expression
(distributive property of multiplication)
Combine like terms
Expression for the area of the rectangle =
Slope of f(x)
Slope of g(x)
PART A)
The slopes of f(x) and g(x) are the same.
PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b
y = 4x - 1
The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
Answer:
total kids in the camp = 300
Step-by-step explanation:
let the number of kids in the camp be x
from the above situation, we get
=》70% of all kids in the camp is 210
=》
=》
=》
=》
Answer:
1) The range is found by subtracting the minimum data entry from the maximum data entry.
2) It is easy to compute.
3) It uses only two entries from the data set.
Step-by-step explanation:
We are given the following information in the question:
1) Range is difference between the highest value and the lowest value of the data.
- To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.
Option A) The range is found by subtracting the minimum data entry from the maximum data entry.
2) Advantage of range as a measure of variation.
- Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.
Option B) It is easy to compute.
3) Disadvantage of range to use as a method of variation.
- The disadvantage of using range is that it does not measure the spread of the data set
- It only measures the spread between highest and lowest data points in data set.
Option C) It uses only two entries from the data set.
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.
