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1 year ago

5- (x - 2)² for x = −1

Mathematics

2 answers:

PtichkaEL [24]1 year ago

6 0

Answer:

Its answer is -4..............

Sever21 [200]1 year ago

6 0

Answer:

Your answer is -4

Step-by-step explanation:

$5 - (x - 2) { \\ }^{2}$

where x = -1

Therefore, p(-1) = 5 - ( (-1) - 2 )²

= 5 - (-3)²

= 5 - 9

= -4

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Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 mo

ludmilkaskok [199]

45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps

6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct

there are
8 pages in the album
6 stamps per page

6 0

3 years ago

What is the reciprocal of 1/5

solmaris [256]

The answer is 5/1 because reciprocal means to flip a fraction.

8 0

3 years ago

Read 2 more answers

Fill in the gaps in this sequence: -8, -19, -30, _ , _. (Geometric and arithmetic sequences)

gavmur [86]

-8, -19, -30, -49 , -60

Step-by-step explanation:

Here we have the following sequence :

-8, -19, -30, _ , _

First term of sequence is -8 .
Second term of sequence is -19 : $-8-11 = -19$
Third term of sequence is -30 : $-19-11 = -30$
Fourth term of sequence is : $-30-11 = -49$
Fifth term of sequence is : $-49-11 = -60$

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. $a = -8$ and common difference $d = -11$ having general equation as : $-8 -11n$ .

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3 years ago

What is the piecewise-defined function that expresses the cost of the order, C(x), in terms of the number of photos ordered, x?

Murljashka [212]

Answer:

See below

Step-by-step explanation:

The values in the table change by $3.80 from one line to the next. Since each change from line to line changes in number of photos by 20, the average cost per photo is $3.80/20 = $0.19. There is apparently a $5.80 -3.80 = $2.00 shipping charge for numbers of photos in the range shown in the table.

Thus, the piecewise function has 3 pieces:

for x < 100: $2.00 + 0.19x

for x < 200: $4.50 + 0.17x

for x ≥ 200: $0.15x

This could be written as ...

$C(x)=\left\{\begin{array}{rcl}\$2.00+0.19x&\text{for}&0\le x$