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nexus9112 [7]
2 years ago
11

The graphs below have the same shape. What is the equation of the blue

Mathematics
1 answer:
Drupady [299]2 years ago
4 0

Answer:

Option C. g(x)=(x+3)^2+1

Step-by-step explanation:

The complete question in the attached figure

we know that

The equation of the function f(x) is

f(x)=x^2

Is a parabola open upward

The vertex is the point (0,0)

The function g(x) have the same shape

The vertex of the function g(x) is the point (-3,1)

so

The rule of the transformation of f(x) to g(x) is

(0,0) -----> (-3,1)

(x,y) -----> (x-3,y+1)

That means----> The translation is 3 units at left and 1 unit up

therefore

The equation of the function g(x) in vertex form is equal to

g(x)=(x+3)^2+1

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Im pretty sure its
m=/0 because when m is 0 then f(x) does not depend on the value of x.
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2 years ago
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One cube has an edge length 5 cm shorter than the edge length of the second cube. The volume of the smaller cube is 216 cm?. Wha
VLD [36.1K]

Answer:

The volume of the  larger cube is V=1,331\ cm^3

Step-by-step explanation:

Let

x ---> the length of the smaller cube

y ---> the length of the larger cube

we know that

the volume of a cube is equal to

V=b^3

where

b is the length side of the cube

we have

x=y-5 ----> equation A

The volume of the smaller cube is 216 cm^3

so

substitute in the formula of volume

216=x^3

solve for x

x=\sqrt[3]{216}\ cm

x=6\ cm

<em>Find the value of y</em>

x=y-5

6=y-5

y=6+5=11\ cm

<em>Find the volume of the larger cube</em>

V=y^3

substitute the value of y

V=11^3

V=1,331\ cm^3

4 0
2 years ago
You've decided to take 3 steps and randomly choose left or right as the direction each time.
Montano1993 [528]

Answer:

i would say b

Step-by-step explanation:

8 0
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Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of
ivanzaharov [21]

<u>ANSWER:</u>

Kari bought 3 boxes of cookies to share. The algebraic expression is \frac{36}{x}

<u>Solution:</u>

Given, Kari bought 3 boxes of cookies to share with a book club.  

Each box contains 12 cookies.  

So, in total we have 3 x 12 cookies = 36 cookies.

Now, we have to find how many cookies can each person p will get.

Let, the total number of persons be x.

Then, after equally sharing the cookies,

\text { Number of cookies with each person }=\frac{\text {number } of \text { cookies available.}}{\text {total number of persons}}

=\frac{36}{x} \text { cookies. }

Hence, the algebraic expression is \frac{36}{x}

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Work out an estimate for square root of 4.92+2.18*7.31
Sergeeva-Olga [200]

the answer for this is 20.8558

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