Which graph is represented by the piecewise function? f(x) = {−3xx−1x<0x≥1 Question 11 options: A) image B) image C) image D)
1 answer:
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Vă rugăm să găsiți imaginea întrebării atașate mai jos:
Răspuns:
A este proporțională
B este proporțională
C nu este proporțional
D este proporțional
E nu este proporțională
F este proporțional
Explicație pas cu pas:
Pentru a determina proporționalitatea:
Obținem constanta proporționalității
Pentru valorile din tabelul 1;
Luând primul punct:
x = 1; y = 5
1 α 5
1 = 5k
k = 1/5
Test:
y = 15
x = k * y
x = 1/5 * 15; x = 3
Prin urmare; (a) este proporțională
B.)
x = 2; y = 6
2 α 6
2 = 6k
k = 2/6
k = 1/3
Test:
y = 15
x = k * y
x = 1/3 * 15; x = 5
Prin urmare; (b) este proporțională
C.)
x = 2; y = 6
7 α 3,5
7 = 3,5k
k = 7 / 3,5
k = 2
Test:
y = 5
x = 2 * 3.5
x = 7
Prin urmare; (c) nu este proporțională
x = 0,5; y = 1
0,5 α 1
0,5 = k
Test:
y = 4
x = k * y
x = 0,5 * 4; x = 2
Prin urmare; (d) este proporțională
x = 0,2; y = 2
0,2 α 2
0,2 = 2k
k = 0,2 / 2
k = 0,1
Test:
y = 4,5
x = 0,1 * 4,5
x = 0,45
Prin urmare; (e) nu este proporțională
x = 1; y = 12
1 α 12
1 = 12k
k = 1/12
Test:
y = 84
x = 1/12 * 84
x = 7
Prin urmare; (f) este proporțională
Answer:
Option A and Option B are not equivalent to the given expression.
Step-by-step explanation:
We are given the following expression:
Applying properties of exponents and base:
A. Using the exponential property , we can write:
which is not equal to the given expression.
B. Using the exponential property , we can write:
which is not equal to the given expression.
C. First we convert the radical form into exponent form. Then by using the property of exponent, we can write the following:
which is equal to the given expression.
D. First we convert the radical form into exponent form. Then by using the property of exponent, we can write the following:
which is equal to the given expression.
Option D and Option C are equivalent to the given expression.
Answer: Last Option is correct.
Step-by-step explanation:
Since we have given that
Total number of tulips and daffodils = 600
Number of tulips = 150
Number of daffodils is given by
So, We can get the ratio of tulips to daffodils which is given by
So, we need to choose a random sample of flowers to represent the population.
1) He can choose 50 flowers.
As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.
2) He can choose 25 tulips and 25 daffodils
As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.
3) He can choose 15 tulips and 60 daffodils
As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.
4) He can choose 10 tulips and 30 daffodils.
So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.
Hence, Last Option is correct.