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3 years ago

9x - 3y = -2 -3x + y = -3

1 answer:

6 0

Multiply 2nd equation by 3 and add to first
9x-3y=-2
-9x+3y=-9 +
0x+0y=-7

0=-7
false
no solution
these lines aer paraalell so no solution

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Paula has read 70% of the total pages in a book she is reading for english class

pav-90 [236]

Answer:

good for paula? im not sure what the question is.

6 0

2 years ago

Solve the system of equations 2r + 2s = 50 and 2r – s = 17. A. r = 3, s = 11 B. r = 25, s = 33 C. r = 14, s = 11 D. r = –8, s =

scZoUnD [109]

$2r = 17 + s = 50 - 2s \\ 3s = 50 - 17 = 33 \\ s = 11 \\ \\2 r = 50 - 2s \\ 2r = 50 - 2 \times 11 = 50 - 22 = 28 \\ r = 14$

C. r=14, s =11

5 0

3 years ago

Which function can be used to find the number of cells of bacteria in the population at time t

Nonamiya [84]

Answer:

db / dt = kb

this becomes b(t) = Ce^(kt)

C = 100, the initial population

P(1) = 420 = 100 e^(1k)

4.2 = e^k

ln 4.2 = k

a) thus, b(t) = 100 e^(t ln 4.2)

b) b(3) = 100 e^(3 ln 4.2)

c) growth constant will still be ln 4.2 (constant percentage of populatioin)

d) 10000 = 100 e^(t ln 4.2)

100 = e^(t ln 4.2)

ln 100 = t ln 4.2

t = ln 100 / ln 4.2

Step-by-step explanation:

6 0

3 years ago

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?

Lady bird [3.3K]

The speed of this:
70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

7 0

3 years ago

Consider the triangle A(4,0), B(-2,4), C(0,6) What will be the equation of the altitude BM?

katovenus [111]

Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2 y = (-3/2)x + 6 ... (1)

BM slope: BM⊥ AC m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3 ... (2) -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3 x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

4 0

3 years ago