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Paladinen [302]
3 years ago
5

Is x = -3 a solution for the following equation: 6x - 19 = 3x - 10? Be sure to show work.

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

-1

Step-by-step explanation:

if x is the solution, substitute the value of x in that equation

x -3 = 0

so substitute 3 as x

6(3) - 19 = 3(3) - 10

18 -19 = 9 - 10

-1 = -1

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PLEASE HELP ME!!!!!!!!!!!!!!!!!!! ASAP :)
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Answer:

c) The growth factor per days is 1.08

e) The growth factor per hour is 1.08^{1/24}

Step-by-step explanation:

Given the following data;

P(d) = 10 * 1.08^{d} in thousands.

a. To find the number of insects on day 1;

Day, d = 1

P(d) = 10 * 1.08^{d} ......equation 1

Substituting into the formula, we have;

P(1) = 10 * 1.08^{1}

P(1) = 10 * 1.08

P(1) = 10.08

Therefore, option (a) and (b) are incorrect.

c. To find the growth factor per day;

An exponential function is given by the formula;

y = mg^{x} .....equation 2

Where;

g is the growth factor of a population.

Comparing eqn 2 with eqn 1;

g = 1.08

Therefore, option (c) is correct.

e. To find growth factor per hour;

From equation 1 above;

P(1) = 10 * 1.08^{\frac {1}{2}}

Therefore, option e is correct.

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3 years ago
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What is the greatest common factor of 35b^2,15b^3 and 5b?
xz_007 [3.2K]
ANSWER

The greatest common factor is 5b.

EXPLANATION

The first expression can be rewritten as

35 {b}^{2} = 5 \times 7 \times {b}^{2}

The second expression is rewritten as

15 {b}^{3} = 3 \times 5 {b}^{3}

The third expression is

5b = 5 \times b

The greatest common factor is the product of the least powers of the common factors.

GCF=5 \times b = 5b
4 0
3 years ago
If 12m=5n, then m/n=?
nignag [31]

Answer:

\frac{m}{n}=\frac{5}{12}

Step-by-step explanation:

Given:

           12m=5n

   Dividing both sides b 'n'

                 12*\frac{m}{n}=5

So,

                   \frac{m}{n}=\frac{5}{12}

The ratio of 'm' and 'n' is  5:12

4 0
3 years ago
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