Answer:
x = 5 and x = 1 are the factors
Step-by-step explanation:
<h2>step 1) </h2>
identify the a, b, and c values (a=1 b= -6 c=5)
<h2>step 2) </h2>
plug them into the quadratic formula
x = -(-6) ± √(-6)² - 4(1)(5) / 2(1)
<h2>step 3) </h2>
multiply -1 by -6 to get 6
x = 6 ± √(-6)² - 4(1)(5) / 2(1)
<h2>step 4)</h2>
multiply -6 by -6 to get 36
x = 6 ± √36 - 4(1)(5) / 2(1)
<h2>step 5)</h2>
multiply 4 by 1 to get 4
x = 6 ± √36 - 4(5) / 2(1)
<h2>step 6) </h2>
multiply 4 by 5 to get 20
x = 6 ± √36 - 20 / 2(1)
<h2>step 7)</h2>
subtract 36 by 20 to get 16
x = 6 ± √16 / 2(1)
<h2>step 8) </h2>
take the square root of 16 to get 4
x = 6 ± 4 / 2(1)
<h2>step 9)</h2>
multiply 2 by 1 to get 2
x = 6 ± 4 / 2
<h2>step 10) </h2>
add 6 by 4 to get 10
x = 10 / 2
<h2>step 11) </h2>
divide 10 by 2 to get 5 (now you know the first factor is x=5)
x = 5
<h2>step 12)</h2>
subtract 6 by 4 to get 2
x = 2 / 2
<h2>step 13)</h2>
divide 2 by 2 to get 1 (now you have found the final factor x=1)
<h2>step 14)</h2>
you know know that the factors of x²- 6x + 5 are<em><u> x = 5 and x = 1</u></em>
Answer:
Rewrite the expression 10(15 – 6) using the distributive property of subtraction.
A) 10(6) – 10(15)
B) 10(9)
C) 10(6 –15)
D) 10(15) – 10(6)
Show/Hide Answer
A) 10(6) – 10(15)
Incorrect. Here a greater number would be subtracted from a lesser number, and the answer would not be a whole number. The correct answer is 10(15) – 10(6).
B) 10(9)
Incorrect. The numbers in parentheses were subtracted before the number 10 could be distributed. The correct answer is 10(15) – 10(6).
C) 10(6 –15)
Incorrect. You probably used the commutative law instead of the distributive property. The correct answer is 10(15) – 10(6).
D) 10(15) – 10(6)
Correct. The 10 is correctly distributed so that it is used to multiply the 15 and the 6 separately.
Step-by-step explanation:
Complete question is attached.
Answer:
B) 8
Step-by-step explanation:
In this question, KLMN ~ PQRS. This means they are similar shapes.
From the image, we could denote that:
KL ~ PQ
LM ~ QR
Given that:
KL = 12
PQ = 30
QR = 20
LM = x
To find x, let's use tge expression:
Cross multiplying, we have:
12 * 20 = 30x
240 = 30x
To find x, let's divide both sides by 30.
8 = x
x = 8
The correct option is option B.
Answer:
Mr Park has enough money to pay his rent.
Step-by-step explanation:
The amount of the monthly rent paid = $1000
The account balance after depositing the paycheck = $1441.33
Now, to pay the rent,account should have more than the rent money $1000
Also, $1441.33 > $1000
⇒ The amount in the bank after depositing the paycheck > The rent to be paid
Hence, Mr Park has enough money to pay his rent.
