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never [62]
2 years ago
9

F(x) = 3√3xg(x) = 3x+2​

Mathematics
1 answer:
Mamont248 [21]2 years ago
6 0

Answer:

A

Step-by-step explanation:

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90 points please help!!!!!!!!
just olya [345]
To model this situation, we are going to use the exponential function: f(t)=P(1+ \frac{r}{n} )^{nt}
where
P is the initial number of cars
r is the growing rate in decimal form 
n is number of tames the growing rate is increasing per year
t is the time in years

To convert the growing rate to decimal form, we are going to divide the rate by 100%
r= \frac{12}{100}
r=0.12
Since the growing rate is increasing quarterly, n=4. We also know that the initial number of cars is 920, so P=920. Lets replace all those values in our function:
f(t)=920(1+ \frac{0.12}{4} )^{4t}
f(t)=920(1+0.03)^{4t}
f(t)=900(1.03)^{4t}

We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years                                 is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
3 0
3 years ago
Read 2 more answers
Martha went to the store with$75.00 she bought 3 pairs of socks for $4.00 each she bought 2 shirts for $20.00 each and she bough
fenix001 [56]
Martha is going to have $2.00 left
3 0
3 years ago
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Factor the expression completely over the complex numbers.<br><br> y^4+12y^2+36
Brums [2.3K]
Y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
<span>Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
</span>so multiply both.
(y² + 6)² is the answer.
7 0
3 years ago
Read 2 more answers
17. Solve the following:<br> x – 3y = 5<br> 5x – 2y = -1
Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 ( subtract 25 from both sides )

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

8 0
3 years ago
in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

a = x₁ + x₂ / 2

b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

          = 7 - 3

          = 4

Hence, the value of x₂ + y₂ = 4

4 0
3 years ago
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