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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.

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Which number sentence is true?​
shusha [124]

Answer:

C

Step-by-step explanation:

You can reason your way through this without a calculator:

A: the absolute function turns everything positive, then you can see that 5/6 cannot be larger than 1 5/6

B: Realizing that √25=5, √18 cannot be larger than 5

C: 5.6x10³ means shifting to the left 3 positions: 5600 > 1000 so this one is true.

D: A negative number is always smaller than a positive number.

3 0
4 years ago
Read 2 more answers
Please help with this
muminat

Answer:

Linear

Step-by-step explanation:

There is a linear slope! Hope this helps

6 0
4 years ago
D. -1 7. A weaver bought a bundle of grass for $50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the perc
madam [21]

Profit percentage for weaver after selling mat is equals to 140%.

<h3>What is percentage ?</h3>

" Percentage is defined as the hundredth part of the whole given quantity. It is represented by symbol %."

Formula used

Profit% = (\frac{Profit }{cost price} )×   100

According to the question,

Given,

Cost price of bundle of grass = $50.00

Number of mats made = 8

Selling price of each mat = $15.00

Therefore,

Selling price of 8 mats = 15 × 8

                                     = $120

Selling price > Cost price

Therefore,

Profit = Selling price - Cost price

         = 120 - 50

         = $70

Substitute the value in the formula to get profit percentage we get,

Profit% = \frac{70}{50} ×100

            = 140%

Hence, profit percentage for weaver after selling mat is equals to 140%.

Learn more about percentage here

brainly.com/question/14979505

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3 0
2 years ago
Can someone please help me with my questions please I really really need help.
iogann1982 [59]

Answer:

  1. not
  2. 28,45,53
  3. 37,36,45
  4. 10,24,26
  5. not

8 0
3 years ago
What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?
Arte-miy333 [17]

Answer: 2y + 3x = -8.

Step-by-step explanation:

Given our first equation 2x-3y =13, we rewrite in the form of equation of a line, i.e y = mx + c

Where m is the slope of the line and c is the intersection on y axis.

By rewriting, we have...

3y= 2x-13

y= 2x/3 - 13/3.

m= 2/3, c= -13/3.

For two perpendicular lines, the product of their gradients is -1

i.e

m¹ * m² = -1

Hence m² = -1 * 3/2

m² = -3/2.

Hence, to get the equation of the line passing through the point (-6,5) we first find the intersection when x=0 given as

[Y-c]/[x-0] = -3/2

2y - 2c = -3x

2(5) - 2c =- 3(-6)

10-18= 2c

C = -8/2

C= -4

Then the equation is given as

y = mx + c

y = [-3/2]x - 4

2y= -3x - 8

2y + 3x = -8.

3 0
3 years ago
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