Answer:
See explanation
Step-by-step explanation:
Jacob has 75 cookies.
He gave 2 cookies to each student.
Complete the table:
![\begin{array}{cc}\text{Number of student arrived}&\text{Number of cookies left}\\1&75-2=73\\2&73-2=71\\3&71-2=69\\...&...\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcc%7D%5Ctext%7BNumber%20of%20student%20arrived%7D%26%5Ctext%7BNumber%20of%20cookies%20left%7D%5C%5C1%2675-2%3D73%5C%5C2%2673-2%3D71%5C%5C3%2671-2%3D69%5C%5C...%26...%5Cend%7Barray%7D)
Let n be the number of students. After nth student arrived Jacob had left
![g(n)=75-2n](https://tex.z-dn.net/?f=g%28n%29%3D75-2n)
cookies.
This is an arithmetic sequence with
![g_1=g(1)=73\\ \\d=-2](https://tex.z-dn.net/?f=g_1%3Dg%281%29%3D73%5C%5C%20%5C%5Cd%3D-2)
Thus,
![g_{n}=g_{n-1}-2\\ \\g(n)=g(n-1)-2](https://tex.z-dn.net/?f=g_%7Bn%7D%3Dg_%7Bn-1%7D-2%5C%5C%20%5C%5Cg%28n%29%3Dg%28n-1%29-2)
Answer:
P(t)= 100t + 150
Step-by-step explanation:
If the price for 6 hours of studio time is 600 dollars, that means every hour the studio is used it costs 100 dollars. Since the fixed fee is 150 dollars, that is added to the cost of how many hours the studio is used.
I hope this helped you. If it did Brainilest is appreciated.
Answer:
7
Step-by-step explanation:
Using fundamental theorem of algebra, there should be 7 roots, if you count multiplicity.
If you're only counting distinct roots, then there should be 4 roots.
Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
<u><em>The correct picture of the question in the attached figure</em></u>
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
we have
△HFM∼△PST ----> given problem
step 1
Find the scale factor
Let
z ----> the scale factor
![z=\frac{HF}{PS}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7BHF%7D%7BPS%7D)
substitute the given values
![z=\frac{14}{8}=1.75](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B14%7D%7B8%7D%3D1.75)
step 2
Find the perimeter of triangle PST
Remember that the perimeter of a triangle is the sum of its three length sides
![P=8+9+12=29\ units](https://tex.z-dn.net/?f=P%3D8%2B9%2B12%3D29%5C%20units)
step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so
![29(1.75)=50.75\ units](https://tex.z-dn.net/?f=29%281.75%29%3D50.75%5C%20units)
Answer:
$1.80, $2.90, $4.00, $10.90
Step-by-step explanation:
For 9/10 mile, the price will be $1.80. For 2 miles, the price will be $2.90. For 3 1/10 miles, the price will be $4.00, and for 10 miles, the price will be $10.90. The relationship between distance travelled and the price is not proportional because it costs $1.00 for the first 1/10 mile and then for every additional 1/10 mile, it only costs $0.10. Hope it helps!