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Ber [7]
3 years ago
9

Which equation has exactly one solution?

Mathematics
2 answers:
ziro4ka [17]3 years ago
7 0

Answer:

  The answer is D

Step-by-step explanation:

9(x + -3) + 28 = 4x + -3

Reorder the terms:

9(-3 + x) + 28 = 4x + -3

(-3 * 9 + x * 9) + 28 = 4x + -3

(-27 + 9x) + 28 = 4x + -3

Reorder the terms:

-27 + 28 + 9x = 4x + -3

Combine like terms: -27 + 28 = 1

1 + 9x = 4x + -3

Reorder the terms:

1 + 9x = -3 + 4x

Solving

1 + 9x = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

1 + 9x + -4x = -3 + 4x + -4x

Combine like terms: 9x + -4x = 5x

1 + 5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

1 + 5x = -3 + 0

1 + 5x = -3

Add '-1' to each side of the equation.

1 + -1 + 5x = -3 + -1

Combine like terms: 1 + -1 = 0

0 + 5x = -3 + -1

5x = -3 + -1

Combine like terms: -3 + -1 = -4

5x = -4

Divide each side by '5'.

x = -0.8

Simplifying

x = -0.8

Veronika [31]3 years ago
4 0

Answer:

the correct answer is D. 9(x-30) + 28 = 4x - 3

Step-by-step explanation:

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In a competative exam of 40 questions plus three months is awarded for a correct answer and minus one for every correct answer t
Alex Ar [27]

Answer:

76

Step-by-step explanation:

n a competitive exam of 40 questions, +3 is awarded for a correct answer and -1 for every wrong answer. Find the total score if a student had 11 wrong answers in his attempt of all questions.

Answers gotten wrong = 11

answers gotten right = 40 - 11 = 29

total score = (point for correct answer x number of correct answer) +  (point for wrong answer x number of wrong answer)

(+3 x 29) + (-1 x 11) = 76

6 0
2 years ago
Find the net change in the value of the function between the given inputs. h(t) = t2 + 2; from −5 to 8
pashok25 [27]

Answer:

39

Step-by-step explanation:

Given the function :

h(t) = t² + 2

From t = 5 to t = 8

when, t = 5

h(5) = 5² + 2

h(5) = 25 + 2

h(t) at t = 5 ; equals 27

when, t = 8

h(5) = 8² + 2

h(5) = 64 + 2

h(t) at t = 8 ; equals 66

Net Change :

h(8). - h(5)

66 - 27 = 39

3 0
2 years ago
2. Four friends share 3 apples equally.
Slav-nsk [51]

Answer:

1/3

Step-by-step explanation:

Each friend gets 1/3 of an apple

5 0
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kelly has $50 in her checking account. she wrote a check for $75.00 which means that she’s overdrawn by $25. if she deposits $13
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Answer:

$120.50

Step-by-step explanation:

50 - 75 = -25

135.50 - 25 = 120.50

3 0
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What is the scale factor of the dilation?
VLD [36.1K]
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)

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3 years ago
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