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Anni [7]
3 years ago
14

What are the factors of x2 – x – 6? Check all that apply.

Mathematics
2 answers:
jonny [76]3 years ago
8 0
X^2 - x - 6
Let's factorise. So we pick two numbers such that their product gives (-6) and
adding them up gives us (-1)
Our choice pick is -3 and 2
So we have: X^2 - 3x + 2x - 6 = 0
Factorimg we have X(X - 3) + 2( X  - 3) = 0
So (X - 3) and (X + 2) are the solution to the equation.
Hence my answer is X - 3 and X + 2. None of the option applies.
uysha [10]3 years ago
5 0

the answers are C and E

numbers 3 and 5  

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Read 2 more answers
30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.
anygoal [31]

Answer:

A = 76.85

B =65.28

Step-by-step explanation:

(30/100)A = 10 + (20/100)B

0.3A - 0.2B = 10 ...... equation (i)

(30/100)B + 35 = (20/100)A

0.2A - 0.3B = 35 ........ equation (ii)

From equation (i)

0.3A = 10 - 0.2B

A = (10 - 0.2b) / 0.3

A = 33.33 - 0.67B ........equation (iii)

Put equation (iii) into equation (ii)

0.2(33.33 - 0.67B) - 0.3B = 35

6.67 - 0.134B - 0.3B = 35

0.434B = 35 - 6.67

B = 28.33 / 0.434

B = 65. 275 = 65.28

Put B = 65.28 into equation (i)

0.3A - 0.2B = 10

0.3A - 0.2(65.28) = 10

0.3A - 13.056 = 10

0.3A = 10 + 13.056

A = 23.056/ 0.3

A = 76.85

5 0
3 years ago
How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.
Lelechka [254]

 In this sum we will calculate using the simple  interest.


Simple interest is calculated from the formula :

I  = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 ×  2

I = 120

Therefore the interest earned in two years will amount to 120 $


7 0
3 years ago
Noelle and Micah went to the bank to open new checking accounts. The equation C=0.2n+1.20 represents the monthly cost, C, in dol
Kaylis [27]

Answer:

C = $2.40

n = 6

Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

C = 0.2n + 1.20

Here, n = number of checks written in a month

For Micah,

Monthly cost for writing checks 'C' = $1.20

Number of checks 'n' = 3

Since, Cost of writing checks ∝ Number of checks written

C' ∝ n

C' = kn

k = \frac{C'}{n}

Here, k = proportionality constant

For C' = 1.2 and n = 3

k = \frac{1.2}{3}

k = 0.4

Equation will be,

C' = 0.4n

For any month C = C'

Therefore, 0.2n + 1.20 = 0.4n

0.4n - 0.2n = 1.20

0.2n = 1.20

n = 6

Number of checks written by Noelle and Micah = 6

For n = 6,

C = 0.2(6) + 1.20

C = $2.40

Cost of writing checks = $2.40

7 0
3 years ago
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