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2 years ago

Select the correct answer. Factor the polynomial below. 4x^2-16 A. 4(2 - x)2 B. 4(2 + x)(2 - x) C. 4(x - 2)2 D. 4(x + 2)(x - 2)

Mathematics

1 answer:

Stells [14]2 years ago

6 0

Answer:

The answer is D

4(x²-4)=4(x-2)(x+2)

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The product of two consecutive numbers is 4 more than three times the larger. find the integer

Stella [2.4K]

Answer:

Step-by-step explanation:

Let the first integer be x, then the next is x+1.

x(x + 1) = 3(x + 1) + 4

x^2 + x = 3x+ 3 + 4

x^2 + x - 3x - 7 = 0

x^2 - 2x - 7 = 0

Solving this does not give an integer so maybe there's something wrong with the question??

7 0

3 years ago

. [15 points] Alex is at the northernmost point of a circular parking lot with radius 26 feet. Dylan stands 22.4 feet west and 2

valentina_108 [34]

Answer:

31.925 ft

Step-by-step explanation:

A diagram is needed to visualize Dylan's movement to Alex see below

thus (-22.4)² + y² = 26²

y² = 26² - (22.4)² = 174.24

y = -√174.2 = - 13.2 ft note due south

closest point at intersection

3/11* ( x- 26) = -11/3 x * + 26

3/11 x - 78/11 = -11/3x + 26

3/11 x +11/3x = 26 + 78/11

130/33 x = 364/11

x = 364/11 * 33/130 = 8.4

then y = 3/11 * (x -26)

x = 8.4 substitute, gives y = 3/11 * (8.4 -26) = -4.8

distance from (8.4 , -4.8) to (0 , 26)

√[(0 -8.4)² + ( 26-(-4.8))² ] = √[( -8.4)² + ( 30.8)² ] = 31.925 ft

5 0

3 years ago

Type the solution.y=–3x–7y=x–3

Andrej [43]

Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

y=–3x–7

y=x–3

(y=)-3x-7=x-3

-3x-x=-3+7

-4x=4

x=4/(-4)

x=-1

y=x-3

y=-1-3

y=-4

(x,y)=(-1,-4)

6 0

3 years ago

On Monday, the high temperature in Abilene was 75.6 degrees Fahrenheit and the high temperature in New York City was 54 degrees

madam [21]

Answer:

On monday,the high temperature in abilene was 75.6 degrees Fahrenheit and the temperature in New york city was 54 degrees Fahrenheit.How many times greater was the high tempareture in Abilene than the high temperature in New York on monday plz show your work

Step-by-step explanation:

3 0

3 years ago

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

kozerog [31]

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Given

9x + 3y = 12

We require to rearrange expressing y in terms of x

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4

Expressed in functional notation by replacing y by f(x), that is

f(x) = - 3x + 4

8 0

3 years ago