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3 years ago

Neil is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

1 answer:

7 0

The truth is they will intersect and let me explain it to you:
f(x) = x^2 + 6x +10
13 = x^2 + 6x+ 10
x^2 + 6x - 3 = 0
Solving the quadratic equations:
The roots of the equation is
x = 0.4641 and
x = -6.4541
That is why we say that It will intersect

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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

g100num [7]

Answer:

A.10000

B.25 more trees must be planted

Step-by-step explanation:

⇒Given:

The intial average yield per acre $y_{i}$ = 150

The initial number of trees per acre $t_{i}$ = 100

For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
Total yield = (number of trees per acre) $*$ (average yield per acre)

A.

⇒If the total trees per acre is doubled , which means :

total number of trees per acre $t_{f}$ = $2*t_{i}$ = 200

the yield will decrease by : $t_{f}$ - $y_{i}$

$y_{f}= 150-100= 50$

⇒total yield = $50*200=10000$

B.

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = $(100+y)*(150-y)\\=15000+50y-y^{2} \\$

this is a quadratic equation. this can be rewritten as ,

⇒ $=15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}$

In this equation , the total yield becomes maximum when y=25;

⇒Thus the total number of trees per acre = 100+25 =125;

3 0

2 years ago

Simplify: 3x^2-8x+4 and show work please

Bad White [126]

believe what you're asking is to turn the trinomial into two binomials

So you first have to get 3x²; the only way to get this is

(3x )(x ) when multiplying that, you would get 3x²

when dealing with the -8x and the 4, you must find numbers that are factors of four (when multiplied together they will equal 4) and will multiply with the x's to get -8

(3x-2)(x-2)

you can tell that this is the answer because when you multiply though you will get:

3x-2x²-6x+4

or: 3x²-8x_4

Hope this helped

5 0

3 years ago

A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were r

fomenos

Answer: A.

$H_0:p=0.12\\\\H_a:p$

Step-by-step explanation:

Null hypothesis $(H_0)$ : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.

Alternative hypothesis $(H_a)$ : A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

$H_0:p=0.12\\\\H_a:p$

8 0

2 years ago

Solve for (y)(x) x-y=1 1/2x+y=5

TEA [102]

Using addition

x-y+1/2x+y=1+5
x+1/2x+0y=6
3/2x=6
$\frac{3}{2}x=6$
3x=12
x=4

Using the value of x
x-y=1
4-y=1
y=3

With x as 4 and y as 3, their product is 12
And can be written as (4,3)

6 0

2 years ago

Read 2 more answers

Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational

Katarina [22]

Answer:

$\displaystyle \sec A=\frac{65}{63}$