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3 years ago

Solve 3(2x-3)-4(2x+1)<=-26

Mathematics

2 answers:

Travka [436]3 years ago

8 0

Step-by-step explanation:

3(2x - 3) - 4(2x + 1) <= 26

-2x - 13 <= 26

2x <= -39

x <= -19.5.

Aleks [24]3 years ago

7 0

Answer:

x ≥ $6\frac{1}{2}$

Step-by-step explanation:

3 ( 2x - 3 ) - 4 ( 2x + 1 ) ≤ -26

6x - 9 - 8x - 4 ≤ -26

-2x ≤ -13

x ≥ $6\frac{1}{2}$

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Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula

nikitadnepr [17]

Answer:

600

Step-by-step explanation:

We can solve the recursive formula for the previous term in terms of the present one:

a[n-1] = (a[n] +100)/1.5

Working backward, we find ...

a[4] = (a[5] +100)/1.5 = (2225 +100)/1.5 = 1550

a[3] = (1550 +100)/1.5 = 1100

a[2] = (1100 +100)/1.5 = 800

a[1] = (800 +100)/1.5 = 600

There were 600 daylilies on the farm after the first year.

7 0

3 years ago

Think of a number, double the number,

Rashid [163]

Answer:

Let x be the number

double x = 2 x

square the result (2x)^2

(2x)^2 - x subtract the original number

4 x^2 - x = 33

4 x^2 - x - 33 = 0

Solve the quadratic

(1 +- (1 + 4 * 132)^1/2) / 8

= (1 + 528^1/2) / 8 = (1 + 23) / 8 = 3 using the positive exponent

Check:

(2 * 3)^2 - 3 = 36 - 3 = 33

5 0

2 years ago

What linear function can be represented by the set of ordered pairs? {(−1, −10), (3, 2), (5, 8), (7, 14)} enter your answer in t

Lunna [17]

(-1,-10)(3,2)
slope = (2 - (-10) / (3 - (-1) = (2 + 10) / (3 + 1) = 12/4 = 3

y = mx + b
slope(m) = 3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = 3(3) + b
2 = 9 + b
2 - 9 = b
-7 = b

so ur equation is : y = 3x - 7 or f(x) = 3x - 7

7 0

3 years ago

Read 2 more answers

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria prese

nordsb [41]

Answer: 1.67 hours.

Explanation:

1) Function that models the number of bacteria:

$B(t)=B_0(10)^{2t}$

2) Bo = 25, then the function is:

$B_0=25(10)^{2t}$

3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:

i) start

$55000=25(10)^{2t)$

ii) division property

$2200=10^{2t}$

iii) antilogarithm property

$2t = log_{10}2200$

iv) division property

$t=\frac{log_{10}2200}{2}$

v) Due the operations:

t = 1.67 hours.

Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).