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garri49 [273]
2 years ago
8

Solve each of the quadratic equations.

Mathematics
1 answer:
My name is Ann [436]2 years ago
4 0

Answer:

0=4+27

Step-by-step explanation:

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A habitat of prairie dogs can support mmm dogs at most.
Sloan [31]

Answer:

The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.

Step-by-step explanation:

A habitat of prairie dogs can support m dogs at most.

Let us consider the current population of the habitat be x.

Given the condition that the habitat's population, p,  grows proportionally to the product of the current population (x) and the difference between m and p.

Thus the proportional equation would look like:

p ∝ x × (m - p)

⇒ p = K × x × (m - p) , where K is the constant of proportionality.

Thus the equation describing the above mentioned relationship is given by the above equation.

3 0
3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

So, Common Ratio r = 2

Finding First term using eq(1)

a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

So, First term a₁ = 3/2 and common ratio r = 2

6 0
3 years ago
A triangle has interior angles equal to 55, 70 and x. What is the value of X?
podryga [215]


The answer is C. 55

You get your answer by adding together the degrees of the angles you know 55+70

That equals 125 degrees and subtract that from 180 degrees

180-125= 55

8 0
2 years ago
Factor completely:<br><br> 7r^2− 64r + 64
poizon [28]

Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

8 0
2 years ago
Ver very simple one problem math please help
Tanzania [10]
That isn’t very simple
3 0
2 years ago
Read 2 more answers
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