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Inessa05 [86]
2 years ago
10

This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Writ

e an algebraic expression for the approximate number of names in p pages of the directory
.
Mathematics
1 answer:
GREYUIT [131]2 years ago
4 0

number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page

number of names(p) = 4*10*11*p = 440*p

The algebraic expression for the number of names in p pages is 440*p

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F(x)=4^x and g(x)=4^x+2
dsp73

Given:

The two functions are:

f(x)=4^x

g(x)=4^x+2

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

g(x)=f(x+a)+b                .... (i)

Where, a is horizontal shift and b is vertical shift.  

  • If a>0, then the graph shifts a units left.
  • If a<0, then the graph shifts a units right.
  • If b>0, then the graph shifts b units up.
  • If b<0, then the graph shifts b units down.

We have,

f(x)=4^x

g(x)=4^x+2

The function g(x) can be written as

g(x)=f(x)+2            ...(ii)

On comparing (i) and (ii), we get

a=0,b=2

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).

3 0
2 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Factor.<br><br> 11x^2 + 35x + 6
fredd [130]

Hey there!!

Given equation :

11x² + 35x + 6

Now let's write 35x as 33x and 2x

Then the equation would become :

... 11x² + 33x + 2x + 6

... Now, let's take the common terms 11x² + 33x and 2x + 6

It would become :

... 11x ( x + 3 ) + 2 ( x + 3 )

... Now, we will write this as :

... ( 11x + 2 ) ( x + 3 )

Hence, this is as the answer...

Hope my answer helps!!

6 0
2 years ago
Write what kind of quadrilateral you see in each figure and determine exactly what kind of parallelogram, trapezoid, or trapezoi
irinina [24]

Answer:

Step-by-step explanation:

66.

rectangle or square (if sides are equal.)

67.

trapezoid

68

trapezoid.

69.

scalene quadrilateral.

7 0
3 years ago
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 1
svet-max [94.6K]

Answer:

$2,184

Step-by-step explanation:

$6,500 x 2.8% = annual interest

6,500 x 2.8% = $182 annual interest

$182 x 12 years = interest earned in 12 years.

182 x 12 = $2,184

5 0
2 years ago
A lender will make an 80% loan-to-value loan on a property that is appraised for $72,250 and sells for $73,500. If the buyer has
anyanavicka [17]

Answer:

$1,250

Step-by-step explanation:

We are given;

Loan to value ratio;LTV = 80% = 0.8

Appraised value of property = $72,250

Selling value of property = $73,500

Now, the formula for Loan to value ratio is;

LTV = Loan amount/Appraised value of property

0.8 = loan amount/72250

Cross multiply to get;

Loan amount = 0.8 × 72250 = $57,800

Now,we are told that he has saved $14,450.

Thus, total money raised including loan = $57,800 + $14,450 = $72,250

Since the selling value = $73,500, then,

Amount left for him to save in order to make down payment = $73,500 - $72,250 = $1,250

7 0
3 years ago
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