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Aliun [14]
3 years ago
8

Factor the following expression: x^2-4x+5

Mathematics
1 answer:
frozen [14]3 years ago
3 0

(x-1) (x+5)

Step-by-step explanation:

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A) double a number, then add 3
Alinara [238K]

Answer:

a) 2x+3

b) 5x-7

c) 2x-10

d) 3x/2

Step-by-step explanation:

the number considered is x

8 0
3 years ago
Clint invested $6000 in a savings account for 12.5 years. At the end of 12.5 years, his savings account had $8250 in it. If $600
Vika [28.1K]
The balance B at the end of time t is given by
  B = P +Prt
  8250 = 6000 +6000*r*12.5 . . . . substitute the given information
  2250 = 6000*r*12.5 . . . . . . . . . . .subtract 6000
  2250/(6000*12.5) = r . . . . . . . . . .divide by the coefficient of r
  r = .03 = 3%

Clint earned 3% annual simple interest on his savings.
7 0
3 years ago
Read 2 more answers
Find the sum of natural number from 1 to 30
Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term  formula can be used to find the next term progressively.  where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0
3 years ago
Explain what it means for a scatter plot to have a positive relationship
Salsk061 [2.6K]
The dots on the scatter plot are all going up
4 0
3 years ago
A professor has recorded exam grades for 10 students in his​ class, but one of the grades is no longer readable. If the mean sco
Nostrana [21]

Answer:

unreadable score = 35

Step-by-step explanation:

We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".

There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":

1) The mean score of ALL exams (including the unreadable one) is 80

so the equation to represent this statement is:

mean of ALL exams = 80

By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

\frac{R+x}{10} =80

since the mean is the addition of all values divided the total number of exams.

in a similar way we can write what the mean of just the readable exams is:

\frac{R}{9} = 85\\ (notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.

Based on the equation above, we can find what "R" is by multiplying both sides by 9:

\frac{R}{9} = 85\\R=85*9= 765

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

\frac{R+x}{10} =80\\\frac{765+x}{10} =80\\765+x=80*10=800\\765+x=800\\x=800-765=35

4 0
3 years ago
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