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nydimaria [60]
3 years ago
8

Solve this problem 5x+6y=60

Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer:

if the outputs can be whole number then,

(x,y) = (0, 10) or (6,5) or (12,0)

if the outputs can be natural number then,

(x,y) = (6,5)

Llana [10]3 years ago
3 0

Answer: x=-6/5y+12

Step-by-step explanation: 5x+6y+−6y=60−6y 5x/5=−6y+60/5 x=-6/5y+12

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<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

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f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

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