I'm so confused on all of this

Mathematics

2 answers:

sammy [17]2 years ago

8 0

Answer:

Your answer is B 5/7

Step-by-step explanation:

WINSTONCH [101]2 years ago

5 0

Answer:

Step-by-step explanation:

It is 5/7 because, the line is intercepting at the points, (5,7)

therefore, <em>the points are now made into a fraction</em>, which is:

<em>Hope this helps! <3</em>

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How many $0.21 pencils can be purchased for $7.00? Show your work.

IgorLugansk [536]

N*(21/100)=(700/100)

n=(700/100)/(21/100)

n=(700/100)*(100/21)

n=700/21

n=33+1/3

So <em><u>thirty three</u></em> $0.21 pencils can be purchased for $7.00.

8 0

2 years ago

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What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$