3 years ago

X-y=−3 slope intercept form

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer:

y = x +3

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2. Suppose (220)_b and (251)_b are the squares of consecutive integers. Determine b.

Andrei [34K]

Let $x$ and $x+1$ be these consecutive integers. For some base $b$ , we can write

$(x_{10})^2=220_b=2b^2+2b$

$((x+1)_{10})^2=251_b=2b^2+5b+1$

$x^2=2b^2+2b$

then

$x^2+1=2b^2+2b+1$

Now,

$x^2+2x+1=2b^2+5b+1$

$2x+2b^2+2b+1=2b^2+5b+1$

$\implies2x=3b$

Squaring both sides gives

$4x^2=9b^2$

and so

$4(2b^2+2b)=9b^2$

$\implies8b^2+8b=9b^2$

$\implies b^2-8b=0\implies\boxed{b=8}$

(because the base has to be non-zero)

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3 years ago

What is the y-intercept of f(x)=(1/4)^x A. (1,0) B. (1 1/14) C. (0,0) D. (0,1)

evablogger [386]

Answer:

Step-by-step explanation:

firstly,y-intercept, x=0,A and b wrong

sub x=0

0.25⁰=1

(0,1)

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Step-by-step explanation:

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