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Leto [7]
3 years ago
6

У=-3x+3 y = -9x + 15

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

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Step-by-step explanation:

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3 years ago
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Find the length of RA. A. 42 B. 84 C. 14 D. 7
fiasKO [112]

Answer:

\large \boxed{\mathrm{B. \ 84}}

Step-by-step explanation:

LU bisects RU and UA.

RU=UA

3m+21=6m

Solve for m.

Subtract 3m from both sides.

21=3m

Divide both sides by 3.

7=m

Calculate RA.

RA=3m+21+6m

RA=9m+21

Put m = 7.

RA=9(7)+21

RA=63+21

RA=84

3 0
3 years ago
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What is the answers to this problem? Please help!!
Allushta [10]

Answer:

a = 31.7

c = 39.1

Step-by-step explanation:

tan54 = a / 23

a = 23 * tg54

a = 31.7

sin54 = 31.7 / c

c = 31.7 / sin54

c = 39.1

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5 0
3 years ago
Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass funct
Basile [38]

This question is incomplete, the complete question is;

Let X denote the time in minutes (rounded to the nearest half minute) for a blood sample to be taken. The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

determine;

a) P( X < 2.5 )

B) P( 0.75 < X ≤ 1.5 )

Answer:

a) P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 ) = 0.5

Step-by-step explanation:

Given the data in the question;

The probability mass function for X is:

x     0       0.5       1       1.5       2       2.5

f(x)  0.1     0.2     0.3    0.2     0.1       0.1

a) P( X < 2.5 )

P( X < 2.5 ) = p[ x = 0 ] + p[ x = 0.5 ] + p[ x = 1 ] + p[ x = 1.5 ] + p[ x = 2 ]

so

P( X < 2.5 ) = 0.1 + 0.2 + 0.3 + 0.2 + 0.1

P( X < 2.5 ) = 0.9

b) P( 0.75 < X ≤ 1.5 )

P( 0.75 < X ≤ 1.5 ) = p[ x = 1 ] + p[ x = 1.5 ]

so

P( 0.75 < X ≤ 1.5 ) = 0.3 + 0.2

P( 0.75 < X ≤ 1.5 ) = 0.5

3 0
3 years ago
maurice bought a car costing £8248. he paid a deposit of £1975 and 6 monthly instalments of £511. estimate the amount maurice st
NARA [144]

Hello :D

£8000 - £2000 = £6000

6 x 500 = £3000

£6000 - £3000 = £3000

6 0
3 years ago
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