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a_sh-v [17]
3 years ago
10

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to r

epresent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research.What is this function written in vertex form?
Mathematics
1 answer:
WITCHER [35]3 years ago
5 0
Sabrina should be careful of those ants and bees.
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12 = -2x = 4y<br> Help please
ivolga24 [154]

Answer:

x=−2y+6

Step-by-step explanation:

Step 1: Add -12 to both sides.

−2x+12+−12=4y+−12

−2x=4y−12

Step 2: Divide both sides by -2.

−2x /−2   = 4y−12/−2

x=−2y+6

6 0
3 years ago
Please help-help-help
disa [49]
I think the answer is C
3 0
2 years ago
What is the quadratic regression equation for the data set? ​ ​ ​ <br><br> PLEASEE HELP ME
Soloha48 [4]
You're trying to find constants a_0,a_1,a_2 such that \hat y=a_0+a_1\hat x+a_2{\hat x}^2. Equivalently, you're looking for the least-square solution to the following matrix equation.


\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}

To solve \mathbf{Ax}=\mathbf b, multiply both sides by the transpose of \mathbf A, which introduces an invertible square matrix on the LHS.

\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b

Computing this, you'd find that

\mathbf x=\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}\approx\begin{bmatrix}121.119\\-3.786\\-0.175\end{bmatrix}

which means the first choice is correct.
8 0
3 years ago
PLS HELP I WILL MARK BRAINLIST
Likurg_2 [28]

Answer: B. 0 ≤ x ≤ 4

Step-by-step explanation: Have a nice day bro!✌️

8 0
3 years ago
The area of circle 1 is 6 square units. The area of circle 2 is 7 square units. Which of the following is true about the circumf
miskamm [114]

Answer:

C. The circumference of circle 1 is less than the circumference of circle 2.

Step-by-step explanation:

6<7

We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.

We also know that the formula for circumference is 2πr. It is also dependent on radius. The greater the radius, the greater the circumference.

Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.

C. The circumference of circle 1 is less than the circumference of circle 2.

5 0
2 years ago
Read 2 more answers
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