Answer:
Step-by-step explanation:
A total of 1,716 selections of the 7 flowers are possible.
Step-by-step explanation:
Step 1:
There are 13 flowers from which Jeanine Baker plans to use 7 of them.
To determine the number of selections that are possible we use combinations.
The formula for combinations is; 
.
Step 2:
In the given formula, n is the total number of options and r is the number of options to be selected.
For this question, 
and 
.
So 
So a total of 1,716 selections are possible.
Answer: (2, 2 )
Step-by-step explanation:
Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.
y = x +
(0,0) → 0 = 0 + FALSE
(1, ) → = 1 + FALSE
(2, 2 ) → 2 = 2 + TRUE
Answer:
<em>Solution; - 4 / t + 1</em>
Step-by-step explanation:
See procedure below;
( 12 - 4t ) / ( t^2 - 2t - 3 ) ⇒ Factor out common term - 4 in 12 - 4t,
- 4 * ( t - 3 ) / ( t^2 - 2t - 3 ) ⇒ Break bottom expression into groups,
- 4 * ( t - 3 ) / ( t^2 + t ) + ( - 3t - 3 ) ⇒ Factor out t from t^2 + t,
- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3t - 3 ) ⇒ Factor out - 3 from - 3t - 3,
- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3 * ( t + 1 ) ) ⇒ Factor out common term t + 1,
- 4 * ( t - 3 ) / ( t + 1 ) * ( t - 3 ) ⇒ Cancel out like term t - 3,
<em>Solution; - 4 / t + 1</em>
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
