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
Sonja [21]
3 years ago
8

A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He w

ants to maximize the area using 80 feet of fencing. The quadratic function A(x)=x(80−2x) gives the area of the patio, where x is the width of one side. Find the maximum area of the patio.
Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:  800 feet²

Step-by-step explanation:

Lets remove the brackets from the function's expression

A(x) = -2x²+80x

So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max

As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)

Lets find X1 and X2

x(80-2x)=0

x1=0   80-2*X2=0

x2=40

So Xmax= (0+40)/2=20

So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²

You might be interested in
B. (4,-7)
zvonat [6]

Answer:

b)-3

c)17

d)-11

Step-by-step explanation:

4,-7)

-3

5 0
3 years ago
Multiply 3x7, Minus 12=
Nezavi [6.7K]

Answer:

Your answer would be 9

Step-by-step explanation:

hope this helps

pls mak brainliest

6 0
3 years ago
I had 13 dollars. My mom gave me 10 dollars. My dad gave me 30 dollars. My Aunt, My Uncle, and Grandma gave me 100 dollars. I ha
posledela
13+10+30+100+7=160 dollars
5 0
3 years ago
Read 2 more answers
Please help I’m in desperate need of it I will give brainliest
Romashka [77]

Answer:

I think its a student loan

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If the level of significance (alpha) is 0.05, it means that the probability of rejecting the null hypothesis, when it is false,
Kaylis [27]

Answer: The probability of rejecting the null hypothesis, when it is true, is 5%.

Step-by-step explanation:

We know that the level of significance ( denoted as \alpha ) is generally the probability of rejecting the null hypothesis when it is true.

Therefore , If the level of significance (\alpha[/tex] ) 0.05, then it means that it is the probability of rejecting the null hypothesis when it is true.

i.e. The probability of rejecting the null hypothesis when it is true= 0.05

In percent : 0.05=5\%

Hence, the correct option is : The probability of rejecting the null hypothesis when it is true is 5%.

4 0
3 years ago
Other questions:
  • When you think of a multiplication fact that can help you solve a division problem, the quotient of the division will become wha
    9·2 answers
  • sam is cooking cookies the recipe calls for 3 4/5 cuos of flour. she accidentally puts in 5 1/4 cups how many extra cups did she
    13·1 answer
  • Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
    8·1 answer
  • What is this: complementary, supplementary, vertical, adjacent, alternate interior, corresponding, alternate exterior
    13·1 answer
  • How do you factor 6x^2+14x+4
    7·1 answer
  • If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar
    15·1 answer
  • Springboard Geometry Chapter 21 Mid-Unit Assessment
    5·1 answer
  • Help me find the slope
    14·1 answer
  • Answer fast DONT scam
    5·1 answer
  • Please tell me an easy explanation on how to answer this correctly.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!