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3 years ago

Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?

Mathematics

1 answer:

shepuryov [24]3 years ago

6 0

Answer:

A. $(x^{2}-7)\cdot (x-11)$

Step-by-step explanation:

The third order polynomial is factored herein:

$x^{2}\cdot (x-11) - 7\cdot (x-11)$

$(x^{2}-7)\cdot (x-11)$

Which represents answer A.

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Alvin's age is two times Elga's age. The sum of their ages is 63. What is Elga's age?

lawyer [7]

Answer: Alvin = 42 yrs , Elga = 21 yrs

Step-by-step explanation:

Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then

Alvin's age = 2x , that is

y = 2x ............... equation 1

The sum of their ages is 63 implies

x + y = 63 .............. equation 2

Solving the resulting linear equations by substitution method.

Substitute equation 1 into equation 2 , we have

x + 2x = 63

3x = 63

x = 63/3

x = 21

Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42

8 0

3 years ago

A regression model involved 18 independent variables and 200 observations. The critical value of t for testing the significance

Evgen [1.6K]

Answer:

The correct answer to the following question will be Option d (181 degrees of freedom).

Step-by-step explanation:

The given values are:

Regression model,

n = 200

Observations,

p = 18

Now,

⇒ $n-p-1$

On putting the estimated values, we get

⇒ $200-18-1$

⇒ $181$

So that the correct choice will be "181 degrees of freedom".

6 0

3 years ago

Please helpp me i need a answer

Lesechka [4]

Answer:

0.0005123

Step-by-step explanation:

The scientific notation 5.123e-4 is same as 5.123×10^-4 or 5.123×10-4. Thus, to get the answer to 5.123e-4 as a decimal, we multiply 5.123 by 10 to the power of -4.

= 5.123e-4

= 5.123 × 10-4

= 0.0005123

7 0

2 years ago

You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't

blagie [28]

The diameter is about 1,275.4 because D=C/pi so 4007\pi=1275.4

8 0

3 years ago

PLEASE HELP GUYS i am struggling so much, two questions

ankoles [38]

Answer: the equation of the standard parabola

1) $(y-6)^2 = 4 (x-1)$

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

Explanation

Parabola:-

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'