Which stamens is true about f(x)=-6|x+5|-2?
2 answers:
ANSWER
A.) The graph of f(x) is horizontally compressed.
EXPLANATION
The given absolute value function is
The parent function is
Since the factor -6 has an absolute value greater than 1, the graph of the given function will be narrower than the graph of the base function.
Hence the graph is horizontally stretched by a factor of 6.
The graph opens downwards because of the negative sign.
It has vertex at (-5,-2)
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4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have , so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with .
By the Chinese remainder theorem, we find that any such that
is a solution to this system, i.e. for any integer
, the smallest and positive of which is 149.
Given:
The two way table.
To find:
The conditional probability of P(Drive to school | Senior).
Solution:
The conditional probability is defined as:
Using this formula, we get
...(i)
From the given two way table, we get
Drive to school and senior = 25
Senior = 25+5+5
= 35
Total = 2+25+3+13+20+2+25+5+5
= 100
Now,
Substituting these values in (i), we get
Therefore, the required conditional probability is 0.71.
This should have been worth more points, but anyways, here are the answers. Please give thanks :)
1.)Y = 5 - 3X<span>
2.) Y= </span><span>3X - 4</span><span>
3.) Y = 7 - X
4.) Y = -5X
5.) Y = </span>X +6 <span>
6.) Y = 5 -3X
7.) Y = 2 +</span>
<span>X
8.) </span>Y =
X - 3<span>
9.) Y= 2 - [</span>tex] \frac{2}{3} [/tex]<span>
10.) Y = 1 - 5X
11.) Y = 2 - </span>
<span>X
12.) Y = -5 -2X
13.) Y = X - 6
14.) Y = </span>
<span> -2X
15.) Y = 2 +</span><span>X
16.) Y = 2 +</span><span>X
17.) Y = 1 - 5X
18.) Y = </span>[<span>tex] \frac{3}{4} [/tex]</span>X + 2
1.)Y = 5 - 3X<span>
2.) Y= </span><span>3X - 4</span><span>
3.) Y = 7 - X
4.) Y = -5X
5.) Y = </span>X +6 <span>
6.) Y = 5 -3X
7.) Y = 2 +</span>
8.) </span>Y =
9.) Y= 2 - [</span>tex] \frac{2}{3} [/tex]<span>
10.) Y = 1 - 5X
11.) Y = 2 - </span>
12.) Y = -5 -2X
13.) Y = X - 6
14.) Y = </span>
15.) Y = 2 +</span>
16.) Y = 2 +</span>
17.) Y = 1 - 5X
18.) Y = </span>[<span>tex] \frac{3}{4} [/tex]</span>X + 2
A perimeter of a rectangle is:
They give you the width, but let's convert it to an improper fraction first:
The length is twice the width so it is:
Now, we are ready to solve, plug in values in the perimeter formula:
So, 40 is your answer.
They give you the width, but let's convert it to an improper fraction first:
The length is twice the width so it is:
Now, we are ready to solve, plug in values in the perimeter formula:
So, 40 is your answer.