Write the expression in factored form

Answers

Answer 1

Answer: $2.)\n \n n^2 - 9n +14 = 0 \n \n a=1 , \ b = -9, \ c = 14 \n \n\Delta =b^2-4ac = (-9)^2 -4\cdot1\cdot 14 = 81 -56 = 25 \n \nn_(1)=(-b-√(\Delta) )/(2a)=(9-√(25))/(2 )=( 9-5)/(2)=(4)/(2)= 2$

$n_(2)=(-b+√(\Delta) )/(2a)=(9+√(25))/(2 )=( 9+5)/(2)=(14)/(2)= 7 \n \n Answer : \ n^2 - 9n +14 =(n-2)(n-7)$

$3.)\n \n n^2 + 4n - 12 =0 \n \n a=1 , \ b = 4, \ c = -12 \n \n\Delta =b^2-4ac = 4^2 -4\cdot1\cdot (-12) = 16+48=64 \n \nn_(1)=(-b-√(\Delta) )/(2a)=(-4-√(64))/(2 )=( -4-8)/(2)=(-12)/(2)= -6$

$n_(2)=(-b+√(\Delta) )/(2a)= (-4+√(64))/(2 )=( -4+8)/(2)=(4)/(2)=2\n \n Answer : \ n^2 +4n -12 =(n+6)(n-2)$

second way :

$2.)\n \n n^2 - 9n +14 = n^2 - 9n+2n -2n +14 = n^2 - 7x -2n +14 =\n \n = n(n-7)-2(n-7)=(n-7)(n- 2)\n \n \n Answer : \ n^2 - 9n +14 =(n-2)(n-7)$

$3.)\n \n n^2 + 4n - 12 = n^2 + 4n +2n - 2n - 12 = n^2 + 6n - 2n - 12 =\n \n = n(n+6) -2(n+6)=(n+6)(n-2) \n \n \n Answer : \ n^2 +4n -12 =(n+6)(n-2)$

Answer 2

Answer: n^2-9n +14
n^2-7n-2n+14
n(n-7) -2(n-7)
(n-2)(n-7)

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HELP ASAP!!!The markup on candy at the discount store is 45%. A bag of candy has a wholesale cost of $1.15. What will be the retail price for the candy?

A. $1.45
B. $1.60
C. $1.67
D. $1.78

Answers

Answer:

Option C. $1.67

Step-by-step explanation:

The price of a bag of candy at wholesale = $1.15

The markup on candy at the discount store = 45%

The retail price for the candy = 1.15 +(45% × 1.15)

= 1.15 + ( $(45)/(100)$ ×1.15)

= 1.15 + (0.45 × 1.15)

= 1.15 + 0.5175

= 1.6675 ≈ $1.67

The retail price for the candy would be $1.67.

The answer is C.$1.67

(Will Give Brainliest) −2(4

Answers

Answer: 16

2^4

2*2*2*2

--> 16

Answer:

Steps:

2*(4+9)-5+1

= 2*(13)-5+1

= 2*13-5+1

= 26-5+1

= 21+1

= 22

Can someone please answer this I’m stuck

Answers

The system has no solutions.
To do this question I started out by trying to solve the simultaneous equations using substitution.
First we can simplify 6x = 12y - 24 by dividing everything by 6, which gives us:
x = 2y - 4
Then we can substitute this into the second equation:
30y - 15(2y - 4) + 30 = 0
30y - 30y + 60 + 30 = 0
90 = 0
As this is obviously not true, we can conclude that the system has no solution.
I hope this helps! Let me know if you have any questions :)

The first five terms in a pattern are shown below.3, -3, -9, -15, -21, ...

If the pattern continues, which expression can be used to find the nth term?

Answers

Answer:

-45 because it is the nth term in the sequence just trust me.. ;) Please vote Brainliest!

Step-by-step explanation:

Answer:

The answer is -45

Step-by-step explanation:

Which algebraic expression is equivalent to this expression?3(2x − 8) – 11x

A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

$\huge\boxed{D.\ -5x-24}$

Step-by-step explanation:

$3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\n\n=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\n\n=(6x-11x)-24=-5x-24$

The test scores of a geometry class are given below.90, 75, 72, 88, 85
The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance?

Answers

Variance is the difference of the number from the mean of the group of numbers then square it and find the average. In this case, we need to find the mean first. 90 + 75 + 72 + 88 + 85 = 410/5 = 82 . Now we must get the difference of each from the mean.
90 - 82 = 8
75 - 82 = -7
72 - 82 = -10
88 - 82 = 6
85 - 82 = 3
Next is to find the average of the square of the numbers.
(8^2) + (-7^2) + (-10^2) + (6^2) + (3^2) is
64 + 49 + 100 + 36 + 6 = 255. Next step is to simply divide it by 5. The numerator in calculating the variance is the sum of the square of the numbers which is 255.

Answer:

258

Step-by-step explanation:

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The graph below shows the fine that a college student pays to the library based on the number of minutes a loaner laptop is overdue:A graph is shown. The values on the x axis are 0, 2, 4, 6, 8. The values on the y axis are 0, 0.70, 1.40, 2.10, 2.80. Points are shown on ordered pairs 0, 0 and 2, 0.70 and 4, 1.40 and 6, 2.10. These points are joined by a line. The label on the x axis is Minutes Overdue. The title on the y axis is Fine. Which statement best describes the point (0, 0) on the graph? No fine is paid if the laptop is returned 1 minute past the time it is due. A fine of $0.35 is paid if the laptop is returned at the time it is due. A fine of $0.35 is paid if the laptop is returned 1 minute past the time it is due. No fine is paid if the laptop is returned exactly at the time at which it is due.

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