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
puteri [66]
3 years ago
7

While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms

that have different soil conditions. The scientist's predicted yield, in tons, of the first farm can be represented by the following function, where x is the liters of pesticide he uses per acre of the farm. His predicted yield, in tons, of the second farm can be represented by the following function, where x is the liters of pesticide he uses per acre of the farm. If the scientist uses the same amount of pesticide on the two farms, select the function that accurately represents the predicted combined yield from both farms.
f(x)= -2.43x^2+10.37x+9 and g(x)= -3.43^2+13x+25


A. h(x)= -5.86x^2 + 23.37x + 34
B. h(x)= -5.86x^2 + 2.63x + 34
C. h(x)= -x^2 + 2.63x + 16
D. h(x)= x^2 + 2.63x - 16
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield h(x) of the two farms is just the yield of the first farm plus the yield of the second farm:

h(x)=f(x)+g(x).

Now, since

f(x)= -2.43x^2+10.37x+9

and

g(x)= -3.43x^2+13x+25,

then

h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)

we add the coefficients of the  corresponding terms to get:

h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)

\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}

Which is choice A.

You might be interested in
Plz answer both if you can
Harlamova29_29 [7]
I hope this helps you



130+x-5+x-35+x+30+75=360


3x=360-195


3x=165


x=55


m (B)=55-5=50
7 0
2 years ago
Please solve all of these, 50 points and I will be marking it brainliest, no links, they will be reported.​
Gwar [14]

Step-by-step explanation:

this is too

I need to use paper please

5 0
2 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
2 years ago
Can someone explain how you find the answer!
ahrayia [7]

Answer:

21m

Step-by-step explanation:

So for the rectangle, do 5*6, and you will get the area of the whole backyard. Then to get the area of the grass, you do 3*3 to get 9.

Finally, to get the cement, you subtract the area of the grass from the area of the whole backyard so 30-9 to get 21.

5*6=30

3*3=9

30-9+21

Please mark brainliest if you can!

Funny, I think you put the question in 2 times, this is the second time I'm answering this same question by you. :D

7 0
3 years ago
Helppppppppppppppppppppppppppppp
iren [92.7K]
To start, the first thing you need to know is that when you add decimals, you must line the decimal up, meaning, if you were adding 2.7+4.1, you have to make sure 2 is lined up with 4, and 7 is lined up with 1 so that the decimals align. Then, you add straight down from right to left and you get 6.8 as your answer.
3 0
3 years ago
Read 2 more answers
Other questions:
  • The function f(x) varies directly with x and f(x)=160 when x=40.
    6·1 answer
  • Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congr
    9·1 answer
  • Find the vertex of this parabola.
    13·1 answer
  • Identify the hypothesis and conclusion of each conditional statement. Then write each sentence in if-then form
    10·1 answer
  • If 200 men can make a road 5 km long in 25 days ,how much overtime per day must 60 men can work to finish an road 2 km in 32 day
    15·1 answer
  • Find the area of the given shape
    14·1 answer
  • NEED HELP ASAP‼️‼️‼️‼️‼️‼️‼️‼️<br><br> What is the slope between the points (1.7) and (3.10)?
    6·1 answer
  • Please Help Me With This Geometry Problem
    6·1 answer
  • An equilateral triangle has an altitude of 21 inches. What is the side length of the triangle?
    13·2 answers
  • 531x22 long mutipulcation
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!