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nordsb [41]
4 years ago
5

Jerry's return trip took 2/5 hour longer. How long did his return trip take?

Mathematics
1 answer:
Ainat [17]4 years ago
7 0
It took him 4 1/5 hours to get home
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If x³ + 2x and x³ − 7x² + 4x +2 + k have a common linear polynomial factor, then the value of k is what?
Georgia [21]

Answer:

  • k = -2

Step-by-step explanation:

<u>Factor x³ + 2x:</u>

  • x³ + 2x = x(x² + 2)

1. <u>The common factor is x, then</u>:

  • 2 + k = 0 ⇒ k = -2 (all the rest are divisible by x)

2. Factor x² + 2 is not linear therefore we discard it.

8 0
3 years ago
If QRST is a rectangle with QT=50 and RS=4x+8, find x
Alenkinab [10]
<span>If QRST is a rectangle with QT = 50 and RS = 4x + 8, find x. 
.
QT = RS (opposite sides of a rectangle are equal)

50 = 4x + 8
42 = 4x
10.5 = x</span>
4 0
4 years ago
Read 2 more answers
lou thinks the expression 27x^3-64 factors to (3x-4) (9x^2+12x+16). is he correct? How can you check his work? Show all work to
larisa [96]

Answer:

Step-by-step explanation:

(a³ - b³) = (a - b) (a² + ab + b²)

27x³ - 64 = 3³x³ - 4³

               = (3x)³ - 4³   {a = 3x & b= 4)

Substitute in the above formula.

               = (3x -4)([3x]² + 3x*4 + 4²)

              = (3x - 4)(9x² + 12x + 16)

The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).

4 0
3 years ago
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? Please help
barxatty [35]

Answer:

{( \bold {\purple{ \boxed{ x + 7}}})}^{2}  =  \:  \bold {\purple{ \boxed{ 9}}}

Step-by-step explanation:

- 2 {x}^{2}  - 28x = 80 \\  \\  - 2( {x}^{2}  + 14x) = 80 \\  \\  {x}^{2}  + 14x =  - 40 \\  \\  {x}^{2}  + 2.x. \bold{ \red{7 }}+ 49 =  - 40 + 49 \\  (add \: square \: of \: 7 \: both \: sides)\\  \\  {x}^{2}  + 14x +  {7}^{2}  = 9 \\  \\  {( \bold {\purple{ \boxed{ x + 7}}})}^{2}  =  \:  \bold {\purple{ \boxed{ 9}}}

6 0
3 years ago
Z varies jointly with y and the square of x. If z =128 when y =4 and x=-4, find z when x=2 and y=-5.
motikmotik

Answer:

z= -160

Step-by-step explanation:

8 0
4 years ago
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