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Karo-lina-s [1.5K]
3 years ago
6

Solve |x – 4| + 6 = 17.

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

\mathrm{C)\:}x=15,\:-7

Step-by-step explanation:

For |a-b|=c, there are two possible cases:

\begin{cases}a-b=c\\a-b=-c\\\end{cases}

Solving for both cases, we get:

\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}

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Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each
zheka24 [161]

ANSWER

$16,384

EXPLANATION

From the question we have that,

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.

This forms a geometric sequence,

1,2,4,...

The first term of this sequence is

a = 1

The common ratio is

r =  \frac{2}{1}  =  \frac{4}{2}  = 2

The general term of a geometric sequence is given by the formula:

f(n) = a {r}^{n - 1}

To find the 15th term, we plug in a=1, r=2 and n=15.

f(15) = 1 {(2)}^{15 - 1}

f(15) =  {2}^{14}

f(15) = 16384

The amount he will save on the 15th day is $16,384

4 0
3 years ago
The functions fand g are defined as follows:
LuckyWell [14K]

Step-by-step explanation:

Given

f(x) = -5x - 1

and

g(x) = 2x + 2

Now

f(3) = - 5 * 3 - 1

= -15 -1

= -16

Also

g(-4) = 2 * (-4) + 2

= - 8 + 2

= - 6

6 0
3 years ago
A wall is 15 ft. High and 10 ft. From a house. Find the length of the shortest ladder which will just touch the top of the wall
Talja [164]

Answer:

the length of the shortest ladder is 11.41 feet

Step-by-step explanation:

The computation of the length of the shortest ladder is shown below:

AB^2 = AC^2 + BC^2

AB^2= (10)^2 + (5.5)^2

AB^2= 100 + 30.25

AB^2 = 130.25

AB = 11.41 feet

hence, the length of the shortest ladder is 11.41 feet

7 0
3 years ago
Bags of sugar come in 3 sizes: Small bag: A 250 g bag costs 95p. Medium bag: A 500 g bag costs £1.80. Large bag: A 3 kg bag cost
azamat

Answer:

see below

Step-by-step explanation:

Small bag

95p / 250 g * 12/12 to get to 3 kg = 1140 p / 3000g =11.40£s/ 3 kgs

Medium bag

1.8£  / 500 g * 6/6 to get to 3 kg = 10.8£ / 3000g =10.80£/ 3 kgs

Large bag

3.7£  / 3 kg *

6 0
3 years ago
Can someone help me ASAP
kvasek [131]
0, 60, 30




That should be correct.
7 0
3 years ago
Read 2 more answers
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