Answer:
5 tulips.
Step-by-step explanation:
Given:
The expression for the cost of the tulips is 
Where,
is the number of tulips.
Now, Joanna has
.
So, number of tulips that can be bought with the above amount can be obtained by substituting
for cost. This gives,
.
As the number of tulips cannot be in decimals or fractions, so the maximum number of tulips that can be bought will be 5.
Answer:
hi the anser might be 600$
Step-by-step explanation:
<h3>
Answer: Choice B</h3><h3>
y = x^2 + 7x + 1</h3>
======================================
Proof:
A quick way to confirm that choice B is the only answer is to eliminate the other non-answers.
If you plugged x = 1 into the equation for choice A, you would get
y = -x^2 + 7x + 1
y = -1^2 + 7(1) + 1
y = -1 + 7 + 1
y = 7
We get a result of 7, but we want 9 to be the actual output. So choice A is out.
-----------
Repeat for choice C. Plug in x = 1
y = x^2 - 7x + 1
y = 1^2 - 7(1) + 1
y = 1 - 7 + 1
y = -5
We can eliminate choice C (since again we want a result of y = 9)
-----------
Finally let's check choice D
y = x^2 - 7x - 1
y = 1^2 - 7(1) - 1
y = 1 - 7 - 1
y= -7
so choice D is off the list as well
-----------
The only thing left is choice B, so it must be the answer. It turns out that plugging x = 1 into this equation leads to y = 9 as shown below
y = x^2 + 7x + 1
y = 1^2 + 7(1) + 1
y = 1 + 7 + 1
y = 9
And the same applies to any other x value in the table (eg: plugging in x = 3 leads to y = 31, etc etc).
Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.
<u>Calculating Josiah's speed</u> :
- <em>Speed = (distance ÷ time) </em>
Speed = (3 ÷ 36) = 0.08333 miles per minute.
<u>Time taken to cover a distance of 2.5 miles</u> :
- <em>Time taken = (Distance ÷ Speed) </em>
Time taken = (2.5 ÷ 0.08333) = 30 minutes
Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles
Learn more : brainly.com/question/18112348
Answer:


Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>

since they are coincident points

By order pair we obtain:

now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:

now substitute:

distribute:

collect like terms:

rearrange:

by <em>Pythagorean</em><em> theorem</em> we obtain:

cancel 4 from both sides:

move right hand side expression to left hand side and change its sign:

factor out sin:

factor out 2:

group:

factor out -1:

divide both sides by -1:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:

cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta

divide both sides by 2:

by unit circle we get:

so when θ is 60° a is:

recall unit circle:

simplify which yields:

when θ is 300°

remember unit circle:

simplify which yields:

and we are done!
disclaimer: also refer the attachment I did it first before answering the question