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Dominik [7]
3 years ago
9

-5 a root of the Quadraticequation n² - 8n-65 = o.What is the other root of theequation​

Mathematics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

13

Step-by-step explanation:

It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),

So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a

Thus, by comparison,

n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0

5 + a = -8

5a = -65

a = -13

Thus, the other factor is (n -13) and root is 13

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g (x) = 3x^2 − 2x + 5

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2. Lin’s family buys 2 adult tickets and 2 child tickets for $26. Mike’s family buys 2 adult tickets and 3 child tickets for $31
Dmitriy789 [7]

Answer:

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Step-by-step explanation:

hope this helps❤️

8 0
3 years ago
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Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, her
storchak [24]
Each colection day: D
Number of tops collected on that day: N

D1=1; N1=2
D2=3; N2=8

1) Linear model
N-N1=m(D-D1)

m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3

N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1

when D=6:
N=3(6)-1
N=18-1
N=17

<span>What is the number of tops collected on the sixth day based on the linear model?
</span>The number of tops collected on the sixth day based on the linear model is 17.

2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2   (1)

D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2   (2)

Replacing (1) in (2)
(2) 8=2(b)^2
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8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2

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(1) ab=2
a(2)=2
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a(2)/2=2/2
a=1

Then, the exponential model is N=1(2)^D
N=(2)^D

When D=6:
N=(2)^6
N=64

<span>What is the number of tops collected on the sixth day based on the exponential model?
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7 0
4 years ago
What does 4×(-6) equal if you solve
Naya [18.7K]

Answer:

-24

Step-by-step explanation:

Since only one of the factors has a negative sign, the product will be negative.

4 · (-6) = <u>-24</u>

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3 years ago
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