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emmainna [20.7K]
3 years ago
7

-5x-4y=2a 4x-5y=2 which of the following choices of A will results in a system of linear equations with exactly one solution​

Mathematics
1 answer:
hjlf3 years ago
4 0

Answer:

<h3>            Any of them.</h3><h2>          a ∈ R</h2>

Step-by-step explanation:

-5x - 4y = 2a                         4x - 5y = 2

-4y = 5x + 2a                        -5y = -4x + 2

y = (5x + 2a):(-4)                    y = (-4x + 2):(-5)

y = -⁵/₄x - ¹/₂a                           y = ⁴/₅x - ²/₅

m₁ = -⁵/₄,  b₁ = -¹/₂a                  m₂=⁴/₅,  b₂= -²/₅

               -⁵/₄ ≠ ⁴/₅

Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.

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krek1111 [17]

Answer: f(x)=15500(1.0375)^x

Step-by-step explanation:

The exponential model for growth is given by :-

f(x)=A(1+r)^x, where A = initial value , r = growth rate (in decimal), x = time  (in years).

Given: A= 15,500      r= 3.75% = 0.0375

The exponential model for the growth of this population will be :

f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x

hence, the required model: f(x)=15500(1.0375)^x

4 0
3 years ago
How many solutions exist for the mixed-degree system graphed below?
Likurg_2 [28]
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8 0
2 years ago
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Factor the following expression <br> 10x^5+5x^3-14x^2-7-
Tatiana [17]

Answer:

C. (5x^3-7)(2x^2+1)

Step-by-step explanation:

Given expression is,

10x^5+5x^3-14x^2-7

=10x^5-14x^2 + 5x^3 - 7  (By the commutative property)

=2x^2(5x^3-7)+5x^3-7     (Taking 2x^3 common from first two terms )

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5 0
3 years ago
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zaharov [31]
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elena-s [515]

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c=2*22/7r

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440*7/44=r

70=r

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5 0
1 year ago
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