GIVEN:
We are given a parallelogram WXYZ with diagonals WY and XZ.
Required;
Prove that XZ bisects WY.
Explanation;
From the diagram provided, we can draw the following conclusion;
Also, we have;
Question # 55We can see the trend from the given graph. From Monday to Thursday the price kept on decreasing while on Friday it increased. So first the price decreased and then increased.
Therefore, the correct answer to this question is option C. The price decreased at the beginning of the week and then increased at the end of the week.
Question # 56.
The schedule of athlete allows no more than 75 minutes of training. This means the training time is 75 minutes or less. One round of strength training requires 8 minutes. So s rounds of strength training will require 8s minutes. One round of endurance training require 12 minutes, so e rounds of endurance training will require 12e minutes.
The total time of both these trainings can be written as:
8s + 12e
We know that the time can be 75 minutes or lesser. So we can write the inequality as:
8s + 12e ≤ 75
So, option H is the correct answerQuestion 57The given equation is:
2y = - 3(x - 2)
In order to identify the slope we need to write the equation if slope intercept form. When written in slope intercept form, the coefficient of x term is the slope of the line. In order to write in slope intercept form, isolate y on one side as shown below:
So, the slope of line is -3/2.
Hence option B is the correct answer
To find the age of tom we will use the expression 20*3 because tom is three times as old as Sam.
so the answer is 60
Answer:
#1. x = -1
Answer = 8
#2. x = 1/5
Answer = 344/25
#3. x = 14
Answer = 13328
Step-by-step explanation:
#1. a. plug in -1
f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14
b. Solve the exponents.
(5(-1)^3)
(5x-1)
(-5) - (2(-1)^2) - (-1) + 14
(2(-1)^2)
(2x1)
(-5) - (2) - (-1) +14
c. simplify.
(-5) - (2) + 1 + 14
-7 + 15
8
#2.
f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14
(5(1/5)^3)
(5 x 1/125)
(1/25) - (2(1/5)^2)
(2 x 1/25)
(2/25)
(1/25) - (2/25) - (1/5) +14
(-1/25) - (1/5) +14
Note: (1/5) turns into (5/25) so it can be subtracted.
-6/25 + 14
Note: 14 turns into 350/25 so it can be added.
350/25 - 6/25 = 344/25
#3.
f(14)= (5(14)^3) - (2(14)^2 - (14) + 14
Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.
f(14)= (5(14)^3) - (2(14)^2)
( 5 (14^3))
(5 x 2744)
(13720) - (2(14^2))
(2 (14^2))
(2x196)
392
(13720) - 392
13328
Good Luck!
Answer:
The answer is b
Step-by-step explanation:
0.63-0.2=0.43