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Paladinen [302]
3 years ago
5

Solve using elimination. x-2y=10 3x+y=-12

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

x-2y=10-------equation 1

3x+y=-12-------equation 2

multiply equation 1 by 3 and subtract eqn 2 by equation 1 then we get,

3x-6y=30

3x+y=-12

(-) (-) (+)

---------------

-7y=42

or, -y= 42÷7

or, y=-6

put the value of y in equation 1

x-2×(-6)=10

or, x+12=10

or x=10-12

or, x = -2

therefore x = -2 and y=-6 ans.

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DISCRETE MATHEMATIC
Jet001 [13]

Answer:

The conclusion "T" logically follows from the premises given and the argument is valid

Step-by-step explanation:

Let us use notations to represent the steps

P: I take a bus

Q: I take the subway

R: I will be late for my appointment

S: I take a taxi

T: I will be broke

The given statement in symbolic form can be written as,

(P V Q) → R

S → (¬R ∧ T)

(¬Q ∧ ¬P) → S

¬R

___________________

∴ T

PROOF:

1. (¬Q ∧ ¬P) → S                Premise

2. S → (¬R ∧ T)                  Premise

3. (¬Q ∧ ¬P) → (¬R ∧ T)    (1), (2), Chain Rule

4. ¬(P ∨ Q) → (¬R ∧ T)      (3), DeMorgan's law

5. (P ∨ Q) → R                   Premise

6. ¬R                                 Premise

7. ¬(P ∨ Q)                        (5), (6), Modus Tollen's rule

8. ¬R ∧ T                          (4), (7), Modus Ponen's rule

9. T                                   (8), Rule of Conjunction

Therefore the conclusion "T" logically follows from the given premises and the argument is valid.

6 0
3 years ago
a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?
frutty [35]
$11,000 will bet the cost in 7 years

Given:

Original cost: $25,000

Depreciation rate: 8%

Term: 7 years

Formula for Depreciation:

A = C ( 1 - ( r ) (t) )

A = Future Value

C = Original Cost

r = rate

t = term

Solution:

Substitute the given values to the formula for depreciation.

A = $25,000( 1 - ( 0.08)(7))

A = $25,000( 1 - .56 )

A = $25,000(0.44 )

A = $11,000


8 0
2 years ago
Solve for x in this equation: 3/4+ |5-x| = 13/4
Rom4ik [11]

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

  • 5 -x = 2.5   ⇒   x = 5 -2.5 = 2.5
  • 5 -x = -2.5   ⇒   x = 5 +2.5 = 7.5

The solutions are x = 2.5 or 7.5.

5 0
3 years ago
What are the coordinates of the image after a dilation with the center at the origin and a scale factor of 2?
Marina CMI [18]

(-2, 2) (8,2) (8, -2) (-2, -2)

3 0
3 years ago
Read 2 more answers
Kelsey has a little baby brother he weighs 8 pounds in 3 ounces the doctor said the baby should get about 5 ounces per week at t
Virty [35]

Answer:

11.9375 and just round it

Step-by-step explanation:

multiply 8 pounds to 16 to get ounces and then add three and 60(5 x 12) and then add all of it together and then divide it to 16 to get 11.94 pounds or however you want to round it. If you need more a more deeper explanation just ask.

4 0
3 years ago
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