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Last year, main bike d miles. this year, she biked 533 miles. using d , write an expression for the total number of miles she bi

ked

1 answer:

Readme [11.4K]3 years ago

6 0

If u dig a 10 foot hole how deep is that whole? bout 20 feet

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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

6 0

3 years ago

You have $60 and your sister has 120 you are saving $14 per week and your sister is saving $10 per week how long will it be befo

hodyreva [135]

Answer:

15 weeks and you both will have $270

Explanation:

60+14x=120+10x

4x=60

x=15 weeks

amount= 60+14*15= $270

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3 years ago

Th sum of the cost of dinner d a $12 tip divided equally between 3 people

Bond [772]

12 / 3 so the answer would be 4

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3 years ago

I AM GIVING OUT BRAINLIST

Ede4ka [16]

Tenth place is the answer!! :))

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3 years ago

Read 2 more answers

Which number line models the expression -3 + 5 ?

damaskus [11]

I think the answer would be B

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3 years ago