1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
motikmotik
3 years ago
14

.......................

Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

Answer:

1) when tomato patch is 6.5 feet the area is 191.75 sq.ft

2)  when tomato patch is 7 feet the area is 217 sq.ft

3) when area is 338 sq.ft the tomato patch is 9.0778 feet

4) when area is 147.25 sq.ft the tomato patch is 5.543799 feet

Step-by-step explanation:

The given equation is  :

3x^2 + 10x

Length of Tomato (in feet)                                       x,  6.5   ,  x   ,     7

Patch Area of Vegetable Garden (in square feet) 338, x , 147.25, x

So we can find the missing terms with the help of the equation 3x^2 + 10x

Putting the values of x from the length of the tomato patch

1)  3x^2 + 10x= 3(6.5)²+ 10 (6.5)=126.75+ 65= 191.75 square feet

2) 3x^2 + 10x= 3(7)² +10 (7)= 147+70= 217 square feet

So the area of  her vegetable garden for a variety of  lengths of the tomato patch= 6.5 feet is 191.75  square feet

and for 7 feet is 217 square feet

Similarly we can find the length of the tomato patch from the area by again using the given equation  3x^2 + 10x

So when area = 338 square feet

The equation becomes  

3x^2 + 10x= 338

Rearranging it :     3x^2 + 10x-338 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= -338

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 4056/6

x= -10± 64.467/6

x= 54.467/6 or -74.467/6   we ignore the negative value because the garden cannot have the negative area.

x= 9.0778 feet

Similarly repeating the same process would give

So when area = 147.25 square feet

The equation becomes  

3x^2 + 10x= 147.25

Rearranging it :     3x^2 + 10x-147.25 =0

This is a quadratic equation and can be solved with the help of the formula.

Here a= 3, b= 10 and c= - 147.25

x = -b±√b²- 4ac/2a

Putting the values of a,b,c we get

x= -10±√100+ 1767/6

x= -10± 43.208/6

x= 33.208/6 or -53.208/6  we ignore the negative value because the garden cannot have the negative area.

x= 5.543799 feet

You might be interested in
Which values are solutions 4x greater than or equal to 35
Mamont248 [21]

Answer:

\frac{5}{1/2}, 12, \frac{8}{3/4}, 10

Step-by-step explanation:

4x\geq 35

x \geq \frac{35}{4}

x \geq 8 \frac{3}{4}

so

\frac{5}{1/2} = 10

12

\frac{8}{3/4} = 10.66

and 10

Because saying 5 over 1/2 is saying 5 divided by 1/2 which is the same as saying 5 * 2

8 over 3/4 is 8 divided by 3/4 which is 8 * 1.33.

A fraction is division. If you mean 5 and 1/2 as well as 8 and 3/4 then remove 5 and 1/2 from the answer.

6 0
3 years ago
Why is 1/2 greater than 1/4​
Mkey [24]

Answer:

its because 1/2 = 0.50  and 1/4 = 0.25

and 0.50 is greater than 0.25

~batmans wife

7 0
3 years ago
Solve the following proportion for y.
Jobisdone [24]

Answer:

a of was! USO Soviet by his his in me Jr HV z FM Nike

Step-by-step explanation:

paano

3 0
3 years ago
Choose the three rectangular prisms that have a volume of 24 cm3.<br> = 1 cm<br> A.<br> D.<br> E.
OlgaM077 [116]

Answer: I think is A, D, E

Step-by-step explanation:

8 0
3 years ago
When you convert 100 feet per second to inches per second will there be more or less than 100 inches
Amanda [17]

Feet are bigger.
Inches are smaller.
You need more inches to make the same distance.

Just like:
Gallons are bigger.
Ounces are smaller.
You need more ounces to make the same volume.

7 0
3 years ago
Other questions:
  • Carlos is making some observations from the roof of a building. Which angle is the angle of depression from carlos to the car?
    6·2 answers
  • Use the Pythagorean Theorem to find the distance between points A and E. A) 2 13 B) 117 C) 127 D)
    11·2 answers
  • if merissa and angie each rode their bike 7km on Monday and 8km on friday what is the total distance rode in the two days
    15·1 answer
  • Zap has coordinates z(-1,5) a(1,3) and p(-2,4) a translaton maps point z to z(1,1) find the coordinates of a and p under this tr
    13·1 answer
  • Let’s think of it another way so that we can see the impact of compounding on this investment. For simplicity’s sake, we’ll assu
    14·1 answer
  • I need help please.
    5·1 answer
  • What is the mixed number of 2 1/5 and 5/9
    13·1 answer
  • The weather report says that there is a 20% chance of rain. What is the likelihood that it will rain?
    6·1 answer
  • Which is the solution set of the inequality 15y-9&lt;36?
    13·1 answer
  • Please give correct answer of all questions​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!