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2 years ago

Please help me question is below

Mathematics

1 answer:

nordsb [41]2 years ago

6 0

We need more context to answer this. Looks like you’re trying to move a parabola. Maybe show a picture of the original parabola placement?

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A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0

3 years ago

The median of 2,3,3,4,5,6,6,6,7,9

nekit [7.7K]

Answer:

11/2

Step-by-step explanation:

2,3,3,4,5,6,6,6,7,9

5+6/2

11/2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

6 0

3 years ago

Find all the missing elements. A=109 C=13 b=6 B=? a=? c=?

sasho [114]

Answer:

B = 58°
a = 6.6896
c = 1.5915

Step-by-step explanation:

Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...

B = 180° -A -C = 180° -109° -13° = 58°

Using this information and the Law of Sines, you can find the remaining sides.

a/sin(A) = b/sin(B) = c/sin(C)

Then the missing sides are ...

a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896

c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915

The missing measures are ...

B = 58°

a = 6.6896

c = 1.5915

7 0

3 years ago

Do these ratios form proportions? YES or NO

mart [117]

yes the answer is yesss

8 0

3 years ago

A train leaves Kaduna for Lagos at 64km/h and an express to Kaduna leaves Lagos an hour later at 96km/h. If the distance between

LenKa [72]

Good to see you here. Now back to the train.

Kaduna, K Lagos, L

Train leaves at 64 km/h

One hour late second train leaves Lagos at 96 km/h.

At the point they meet, if first train has been travelling for "x" hours. Second train has been travelling for (x-1) hour.

At the point the meet, the total distance travelled is equal to 624 km.

Therefore:

64(x) + 96(x-1) = 624
64x + 96x - 96 = 624
160x = 624+96
160x = 720 , x = 720/160 = 4.5

So when they meet, the first train which left Kaduna has travelled= 64x = 64*4.5= 288km from Kaduna.

So it is (624-288) km from Lagos. = 336 Km from Lagos.

Second train which left Lagos has travelled = 96(x-1) = 96(4.5-1) = 336km.
The second train is also 336 km away from Lagos.

Cheers.

3 0

3 years ago