2) The population my nyc 2012 was

1 answer:

3 0

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 8000000}}{\left( \cfrac{8}{100} \right)8000000}\implies 640000~\hfill \underset{now}{\stackrel{8000000-640000}{7360000}}$

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Which one has the same solution

4vir4ik [10]

0.42z = 2.52
z = 2.52 / 0.42
z = 6

same as

z + 7.45 = 13.45
z = 13.45 - 7.45
z = 6
answer is top right z + 7.45 = 13.45

3 0

3 years ago

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0

GuDViN [60]

So to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4

3 0

3 years ago

Let y = 2(x – 5)2 – 6.

Kazeer [188]

The given equation represents a function and inverse of the function exist if x ≥ 6.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 2(x – 5)² – 6

Part A:

Using vertical line test, we can find the whether the graph is a function or not.

After drawing a graph for the given curve, and drawing a vertical line.

The vertical line touches only one point for the one input.

The given equation represents a function.

Part B:

Replace x → y and y → x

x = 2(y – 5)² – 6

2(y – 5)² = x + 6

$\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5$