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Evgen [1.6K]
3 years ago
12

Solve. Tell whether the equations have all real numbers or no solutions.

Mathematics
2 answers:
Mila [183]3 years ago
8 0

9514 1404 393

Answer:

  one solution:: k = 0

Step-by-step explanation:

The equation simplifies to ...

  6k +22 = -k +22

  7k = 0 . . . . . . . . . . add k-22 to both sides; next, divide by 7

  k = 0 . . . . . . . . one solution

GenaCL600 [577]3 years ago
4 0
The answer is zero, so no solution is your answer.
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Is x = -12 a solution of x^2 +10x+25=49?
Tresset [83]

Answer:

Yes

Step-by-step explanation:

{x}^{2}  + 10x + 25 = 49 \\  {x}^{2}  + 10x + 25 - 49 = 0 \\  {x}^{2}  + 10x - 24 = 0 \\ (x + 12)(x -2 ) = 0 \\  \\ x  + 12 = 0 \\ x =  - 12 \\  \\  \\ x  - 2 = 0 \\x = 2

I hope I helped you^_^

8 0
3 years ago
A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his brea
fgiga [73]
First break= 1/2
second break = 1/2 of half= 1/4
third break = half of 1/4 = 1/8
forth break = 1/2 of 1/8 = 1/16
fifth break = 1/2 of 1/16 =1/32
fraction painted = 1 -1/32 =31/32
portion painted = 150*31/32 = 145.3125 ft^2
3 0
4 years ago
Solve the inequality 6x - 2(x + 1) > 0
castortr0y [4]
The answer would be 2 > 0.
4 0
3 years ago
What is the completely factored form of x4 8x2 – 9?
Alinara [238K]

For this case we have the following polynomial:

x ^ 4 + 8x ^ 2 - 9

We make the following change of variables:

u = x ^ 2

Rewriting we have

u ^ 2 + 8u - 9

Factoring the second order polynomial we have:

(u + 9) (u-1)

Then, returning the change we have:

(x ^ 2 + 9) (x ^ 2-1)

Finally, we factor the expression in the parentheses of the second term:

(x ^ 2 + 9) (x + 1) (x-1)

Answer:

the completely factored form is:

(x ^ 2 + 9) (x + 1) (x-1)

7 0
3 years ago
Read 2 more answers
Write the rational number as a decimal. Show your work. 5/9 -3/8 -3/11.
Bad White [126]

I have memorized facts about fractions like these, so can tell you ...

\dfrac{5}{9}=0.5\overline{5}\\\\-\dfrac{3}{8}=-3\times 0.125=-0.375\\\\-\dfrac{3}{11}=-0.27\overline{27}

_____

A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.

A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.

1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.

4 0
3 years ago
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