the area of the rectangle.Simplify the expression.
Given:
The length of a rectangle is 5 centimeters less than 2 times the width.
To find:
The polynomial expression that represents the area of the rectangle, then simplify the expression.
Solution:
Let be the width of the rectangle.
The length of a rectangle is 5 centimeters less than 2 times the width.
2 times the width =
5 centimeters less than 2 times the width =
Length of the rectangle =
We know that, the area of a rectangle is:
Therefore, the required polynomial expression is and its simplified form is
.
Answer:
19 apples will be left with the McIntosh Family
Step-by-step explanation:
Triangles UTR and RTS are congruent, because they're both right triangles, RS=RU and side TR is in common.
This implies that angles RTS and RTU are congruent, and thus we have
Finally, angle STU is the sum of RTS and RTU, which is the same as 2RTU, since they have the same measure. So, we have
and since w=18, we have
Answer:
54 miles/hour
If he made two stops of 10 minutes each and maintains the same speed, it would take him more than 4 hours to reach the town as the time speed would have been extended by 20 minutes.
Step-by-step explanation:
The rate of change of distance with time is called speed and it is measured in miles per hour. Mathematically,
Speed = Distance/time
His rate in miles per hour is his speed
= 216/4
= 54 miles per hour
Answer:
Rate in miles per hour: 54 miles per hour
Step-by-step explanation:
A.) y = 47(1.191)x
B.) y = 34(1.204)x
C.) y = 26.9x – 1.3
D.) y = 27x – 4
Answer:
Hence, the model that best represents the data is:
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
B)
C)
D)
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3
The exponential function gotten from the table is y = 34(1.204)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the lines of code written by x people.
From the table using the points:
(2,50) and (12, 320)
At (2, 50):
50 = ab² (1)
At (12, 320):
320 = ab¹² (2)
From equation 1 and 2:
b = 1.204, a = 34
The exponential function gotten from the table is y = 34(1.204)ˣ
Find out more on Exponential function at: brainly.com/question/12940982