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4 years ago

8

Emily is 41 years old. Colin is 10 years older than Emily. Dan is 15 years younger than Emily. What is the total of their combin

ed ages?

2 answers:

Oliga [24]4 years ago

8 0

118 is the answer add them all together would’ve of gave you the answer

jok3333 [9.3K]4 years ago

3 0

Answer:

118

Step-by-step explanation:

E = 41

Colin is 10 years older than Emily. C = E + 10 = 41 + 10 = 51, C = 51

Dan is 15 years younger than Emily. D = E - 15 = 41 - 15 = 26, D = 26

E + C + D = 41 + 51 + 26 = 118

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3 years ago

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ehidna [41]

1. Check the drawing of the rhombus ABCD in the picture attached.

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3 years ago

Define fn : [0,1] --> R by the

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Answer:

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3 years ago

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3 years ago

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nikklg [1K]

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To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating <em>11 units to the left:</em>

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating<em> 5 units down:</em>

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.

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SECOND.

Translating <em>8 units to the right:</em>

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Then translating<em> 1 unit down:</em>

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.

<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>

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3 years ago