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juin [17]
3 years ago
9

Solve each system of equations using substitution. a=5b+8 a=-10b-7​

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

a = 3, b = -1

Step-by-step explanation:

a = 5b + 8

a = -10b - 7

5b + 8 = -10b - 7

Add 10b from both sides;

15b + 8 = -7

Subtract 8 from both sides;

15b = -15

Divide both sides by 15;

b = -1

Lets substitute b;

a = 5b + 8

a = 5(-1) + 8

a = -5 + 8

a = 3

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3 years ago
Determine if x-3 is a factor of f(x)=x^3-x^2-5x-3
soldier1979 [14.2K]

Answer:

(x - 3) is a factor of the given function

Step-by-step explanation:

Given function:

\implies f\:\!\:(x)=x^3-x^2-5x-3

If (x - 3) is a factor of the given function then f\:\!\:(3) = 0

Substitute x = 3 into the function and solve:

\implies f\:\!\:(3)=(3)^3-(3)^2-5(3)-3

\implies f\:\!\:(3)=27-9-15-3

\implies f\:\!\:(3)=0

Therefore, as  f\:\!\:(3) = 0 then (x - 3) is a factor of the given function.

7 0
2 years ago
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Given T(x,y) = ( x + h, y + k) and the point P(5, 2), what is T (P) = (x + 7, y - 3)? Answer should be a coordinate point.
timofeeve [1]

Answer:

<h3>(12, -1)</h3>

Step-by-step explanation:

Given T(x,y) = ( x + h, y + k) and the point P(5, 2), we are to find T (P) = (x + 7, y - 3)

It can be seen from the given data that T (P)  = T (x, y), hence P = (x, y)

Given the coordinate P(5, 2), comparing with P(x, y), x =5 and y =2

Substituting x = 5 and y = 2 into the coordinates T (P) = (x + 7, y - 3)

T (P) = (5+7, 2-3)

T (P) = (12, -1)

Hence the coordinate T(P) = (12, -1)

5 0
3 years ago
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