Ask question

Ask question

All categories

3 years ago

14

What is the quadratic regression equation that fits these data?

2 answers:

stiks02 [169]3 years ago

5 0

Answer:A. -1.11x^2+ 3.74+ 10.64

Step-by-step explanation:

a. p. e. x. (just took the test)

kirill [66]3 years ago

5 0

Answer:

A

Step-by-step explanation:

I just got the question right on the test lol!!

You might be interested in

Find the discriminant of 3x^2-10x=-2

Oksanka [162]

Answer:

76

Step-by-step explanation:

given a quadratic equation in standard form : ax² + bx + c = 0 : a ≠ 0

then the discriminant is Δ = b² - 4ac

given 3x² - 10x = - 2 ( add 2 to both sides )

3x² - 10x + 2 = 0 ← in standard form

with a = 3, b = - 10 and c = 2

b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76

7 0

3 years ago

Consider the image of EFGH for the translation (x, y) → (x – 3, y + 1). What is the ordered pair of F′?

omeli [17]

Answer:

$F'(-1,3)$

Step-by-step explanation:

The rule for the translation is given as

$(x,y)\rightarrow (x-3,y+1)$

The coordinates of F are (2,2).

We substitute these coordinates into the translation rule to find the coordinates of F'.

$F(2,2)\rightarrow F'(2-3,2+1)$

$F(2,2)\rightarrow F'(-1,3)$

3 0

3 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

Use the Pythagorean theorem to find the missing area

fgiga [73]

Answer:

28 cm^2

Step-by-step explanation:

a^+21^2=36^2

a^2+441=1225

a=28

5 0

3 years ago

Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of

galben [10]

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

<h3>What is the perimeter of a rectangle?</h3>

The perimeter of a rectangle of length l and width w is given by:

$P = 2(l + w)$

In this problem:

She has enough wood to build a deck that is 280ft, hence P = 280.

The length is of 10 feet, hence l = 10.

Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.

Then:

$P = 2(l + w)$

$280 = 2(10 + 8 + w)$

$36 + 2w = 280$

$2w = 244$

$w = \frac{144}{2}$

$w = 122$

She can make a deck of 122 ft wide.

You can learn more about the perimeter of a rectangle at brainly.com/question/10489198

7 0

2 years ago