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rodikova [14]
3 years ago
9

What is a number that when you multiply it by 0.9 and

Mathematics
1 answer:
lora16 [44]3 years ago
8 0
0.9x12=10.8,, 10.8-6.3=4.5. The number is 12
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PLEASE HELP ME!!!!! A quadrilateral with vertices (0,0), (4,0), (3,2), (1,1) is mapped to a quadrilateral with vertices (6,3).(-
Murljashka [212]

Answer:

( 2,1) is the center of dilation and -2 is the scale factor

Step-by-step explanation:

We can use the formula

A' = k( x-a) +a, k( y-b)+b  where ( a,b) is the center of dilation and k is the scale factor

(0,0) becomes (6,3)

( 6,3) =  k( 0-a) +a, k( 0-b)+b

6 = -ka+a

3 = -kb+b

We also have

(4,0) becomes (-2,3)

( -2,3) =  k( 4-a) +a, k( 0-b)+b

-2 =4k -ka+a

3 = -kb+b

Using these two equations

6 = -ka+a

-2 =4k -ka+a

Subtracting the top from the bottom

-2 =4k -ka+a

-6 = ka -a

-------------------

-8 = 4k

Divide by 4

-8/4 = 4k/4

-2 = k

Now solving for a

6 = -ka +a

6 = - (-2)a +a

6 = 2a+a

6 = 3a

Divide by 3

6/3 =3a/3

2=a

Now finding b

3 = -kb+b

3 = -(-2)b+b

3 = 2b+b

3 = 3b

b=1

6 0
3 years ago
Read 2 more answers
Select the correct answer from the drop-down menu.
elena-14-01-66 [18.8K]

Answer:

c. x² - 10x + 25 = 0

Hope this helps!

5 0
3 years ago
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The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities
monitta

So, here we have an exponential function.

Remember that an exponential function has the form:

y=a(b)^x=a(1\pm\frac{r}{100})^x

Where a represents an initial amount, and r is the rate of this amount to change. (Increase, or decrease).

So, given that the population of City A in 2000 was 40 thousand people and the population increased by 13% each year, we can say that

\begin{gathered} a=40 \\ b=1+\frac{13}{100}=1.13 \end{gathered}

So,

f(x)=40(1.13)^x

For city B:

\begin{gathered} a=40 \\ b=1+\frac{16}{100}=1.16 \\ g(x)=40(1.16)^x \end{gathered}

But something different happens with city C. This is not an exponential function, this is a linear function.

So,

h(x)=40+10x

7 0
1 year ago
Solve: (⅓) x – 13 &gt; 14<br> A) x &lt; 81 <br> B) x &gt; 81<br> C) x &gt; 9 <br> D) x &lt; 9
frozen [14]

\dfrac{1}{3}x-13>14\qquad\text{add 13 to both sides}\\\\\dfrac{1}{3}x>27\qquad\text{multiply both sides by 3}\\\\\boxed{x>81}\to\boxed{B)}

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3 years ago
Translate the sentence into an equation.
emmasim [6.3K]

Answer:

6x + 9 = 4

Step-by-step explanation:

6 0
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