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Ipatiy [6.2K]
3 years ago
6

Please help!!! How do I write an expression for this???

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0
4x + 2
Eg 4 times 2 =8 +2 =10
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Given an initial quantity Q0=150 and a growth rate of 7% per unit time, give a formula for the quantity Q as a function of time
rodikova [14]

Answer:

Step-by-step explanation:

From the given information:

(a)

Since growth quantity is not continuous

Q(t) = 150 (1.07)^t

For t = 10

Q(10) = 150 (1.07)^{10}

\mathbf{Q(10) = 295.073}

(b)

Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.

i.e.

Q(t) = 150 e^{0.07t}

At t = 10 for a continuous growth rate;

Q(10) = 150 e^{0.07  \times 10}

Q(10) = 150 e^{0.7}

\mathbf{Q(10) = 302.063}

8 0
3 years ago
16 increased by twice a number is -24
wlad13 [49]
X-the number

16 + 2x = -24    |subtract 16 from both sides

2x = -40      |divide both sides by 2

<u>x = -20</u>

Answer: <em>The number is -24</em>
8 0
3 years ago
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
s344n2d4d5 [400]

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

m \:  =  \frac{y1 - y2}{x1 - x2}  \\  =  \frac{6 - 3}{1 - 2}  \\ =  \frac{3}{ - 1}  \\  =  - 3

Substitute x = 1 and y = 6 into equation,

6 = ( - 3)(1) + c \\ 6 =  - 3 + c \\ c = 6 + 3 \\  = 9

Therefore substituting m and c value, equation of line is

y =  - 3x + 9

5 0
2 years ago
Is 13.654 rational or irrational​
givi [52]

Answer:

Rational

Step-by-step explanation:

Any number that can be represented as a fraction is rational. 13.654 can be represented as the mixed number 13 and 654/1000, making it a rational number.

8 0
3 years ago
Read 2 more answers
Solve the quadratic equation for x in the simplest equation -6x^2+15x+9=0
-BARSIC- [3]

Answer:

Step-by-step explanation:

-6x²+15x+9=0

divide by -3

2x²-5x-3=0

2x²+x-6x-3=0

x(2x+1)-3(2x+1)=0

(2x+1)(x-3)=0

either x=-1/2

or x=3

8 0
2 years ago
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