Answer:
y = - 3x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (6, 1) into the partial equation
1 = - 18 + c ⇒ c = 1 + 18 = 19
y = - 3x + 19 ← equation of line
There are six ways in which the word FOOT may be spelt starting at any letter.
<h3>What is combination?</h3>
The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.
There are four letters in FOOT and one letter is repeated twice therefore;
4C2 = 4!/(4-2)! 2!
4C2 = 4 * 3 * 2!/2! * 2 * 1
4C2 = 12/2
4C2 = 6
Learn more about combination: brainly.com/question/25351212
Answer:
- 30 adult tickets,
- 50 kids tickets
Step-by-step explanation:
<u>Given</u>
- Cost of adult ticket = $8.50
- Cost of kids ticket = $7.00
- Number of tickets = 80
- Total cost = $605
Let the adult ticket be a and kids be k
<u>We got equations</u>
- a + k = 80
- 8.5a + 7k = 605
<u>From the first equation we get</u>
<u>Substituting k in the second equation</u>
- 8.5a + 7(80 - a) = 605
- 8.5a - 7a + 560= 605
- 1.5a = 45
- a = 45/1.5
- a = 30
<u>Then finding k</u>
There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:
2m + n = 0 => n = -2m
We can input that in for the other equation:
m + 2n = 3 now becomes: m + 2(-2m) = 3
Now we can solve:
m + 2(−2m) = 3
m + −4m = 3
(m + −4m) = 3 (Combine Like Terms)
−3m=3
m = -1
Now we can input that value in to solve for n:
We said that n = -2m, and m = -1, so n = -2(-1):Answer:
n = 2
Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)
----------------------
However, if you were solving for m+n:
You would add the two equations!:
2m + n = 0
m + 2n = 3
----------
3m + 3n = 3
Now, you can take 3 common:
3(m+n) = 3
m + n = 1
Your final answer for what m + n equals 1!
So heterozygous means one dominant trait and one recessive trait (Ll). Homozygous is either 2 recessive traits or 2 dominat. (in this case ll).
1.)Genotype: Ll and ll
Phenotype: 50% chance of Long pea plant, 50% chance of short.
2.) Genotype: Ww (widows peak) and ww (no widows peak)
Phenotypes: 75% chance of widows peak and 25% of no widows peak.
3.) Genotype: BB and Bb
Phenotype: 100% chance of black
