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solniwko [45]
3 years ago
14

The sum of three consecutive integers is 27. What is the product of the smallest and largest of the three integers?

Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

Your answer is -80

Step-by-step explanation:

Hope this helps! :D

blondinia [14]3 years ago
3 0
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What is the inverse matrix that can be used to solve this systems of equations
Gala2k [10]

Step-by-step explanation:

The answer is OPTION C

Find the Inverse of a 3x3 Matrix.

First

Find the Determinant of A(The coefficients of e

Proceed towards finding the CO FACTOR of the 3x3 Matrix.

+. - +

A= [ 1 -1 -1 ]

[ -1 2 3 ]

[ 1 1 4 ]

The determinant of this is 1.

Find the co factor

| 2 3 | |-1 3 | |-1 2 |

| 1. 4. | |1 4 | |1. 1 |

|-1. -1 | |1 -1 | |1 -1

| 1. 4 | |1. 4| |1 1|

|-1. -1 | |1 -1 | |1. -1

|2. 3| |-1. 3| |-1 2|

After Evaluating The Determinant of each 2x 2 Matrix

You'll have

[ 5 7 -3]

[3 5 -2 ]

[-1 -2 1]

Reflect this along the diagonal( Keep 5,5 -2)

Then switching positions of other value

No need of Multiplying by the determinant because its value is 1 from calculation.

After this

Our Inverse Matrix Would be

[ 5 3 -1 ]

[7 5 -2 ]

[ -3 -2 1]

THIS IS OUR INVERSE.

SO

OPTION C

5 0
3 years ago
The length of chen's office is 15.5 feet and the width is 7.8 feet.Use the formula P=2L+2w to find the perimeter of the office.​
vlada-n [284]

Answer:

p=46.6 feet

Step-by-step explanation:

formula:2l +2w. 2×15.5f. 2×7.8= 46.6 feet

8 0
3 years ago
Whenever you sign a lease for an apartment, you typically have to pay a security deposit before you even move in; this is in cas
likoan [24]
The answer is F(x) = 900x + 600

Let x stands for the number of months

The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)

A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600. 

These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for  apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
7 0
4 years ago
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that
Brut [27]

Answer:

A, B and C

Step-by-step explanation:

A: A is. If you multiply both numbers by 1.5 you get

  • 9*1.5 = 13.5
  • 3*1.5 = 4.5

B is. If you multiply 9 by 10 and 3 by 10 you

  • 9*10 = 90
  • 3*10 = 30

C is. If you multiply 9 by 0.5 and 3 by 0.5 you get

  • 9*0.5 = 4.5
  • 3*0.5 = 1.5

D and E don't work.

5 0
3 years ago
If (x+2) Is a factor of x^3-6x^2+kx+10<br> k=?
Arlecino [84]

The value of k is -11

Further explanation:

Any number being a factor states that the value of expression will be equal to zero at the factor.

Given

x^3-6x^2+kx+10

and

x+2 is a factor

x+2 = 0

x=-2

If x=-2 is a factor of given expression then the expression will be zero at x=-2

So.

(-2)^3-6(-2)^2+k(-2)+10 = 0\\-8-6(4)-2k+10 = 0\\-8-24-2k+10 = 0\\-22-2k=0\\-2k=22\\k = -11

The value of k is -11

Keywords: Synthetic division, Factorization

Learn more about synthetic division at:

  • brainly.com/question/5461619
  • brainly.com/question/8280736

#LearnwithBrainly

7 0
3 years ago
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