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3 years ago

What is the value of n? n–2=10n+42

Mathematics

2 answers:

Bingel [31]3 years ago

5 0

Answer:

N= -44/9 Hope this helped, <3

Step-by-step explanation:

Let's solve your equation step-by-step.

n−2=10n+42

Step 1: Subtract 10n from both sides.

n−2−10n=10n+42−10n

−9n−2=42

Step 2: Add 2 to both sides.

−9n−2+2=42+2

−9n=44

Step 3: Divide both sides by -9.

bekas [8.4K]3 years ago

4 0

Answer: -44/9

Step-by-step explanation:

−

Step 1: Subtract 10n from both sides.

−

Step 2: Add 2 to both sides.

−

Step 3: Divide both sides by -9.

−

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jonny [76]

Hello,

Answer B

if 3k+3<0 ==>|3k+3|=-3k-3

==>-3k-3>12
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==>k<-5

if 3k+3>0 then |3k+3|=3k+3
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3 years ago

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

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 11 units to the left:

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

Then translating 5 units down:

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

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