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maxonik [38]
2 years ago
6

Evaluate the expression 4 1/2 ÷ 3/4

Mathematics
1 answer:
Darya [45]2 years ago
7 0

Answer: 6

Step-by-step explanation:

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Write an equation in point-slope form of the line that passes through (7, -6) and has the slope m=12.
Goshia [24]

Answer:

Step-by-step explanation:

y + 6 = 12(x - 7)

y + 6 = 12x - 84

y = 12x - 90

6 0
3 years ago
Mohsin purchased a 30 ounce bag of dried Turkish figs for $11.40. What is the cost per pound?
valentinak56 [21]

Answer:

$6.08 per pound

Explanation:

30 ounce ⇒ $11.40

conversions:

  • 16 ounce ⇔ 1 pound
  • 1 ounce ⇔ 0.0625 pound

solve:

  • 0.0625(30) pound ⇒ $11.40
  • 1.875 pound ⇒ $11.40
  • 1 pound ⇒ $6.08
8 0
2 years ago
Read 2 more answers
Factor the binomial b^2 - 9
aliina [53]

Answer:

(b-3)(b+3)

Step-by-step explanation:

b^2+3b-3b-9

7 0
3 years ago
Read 2 more answers
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
Solve this please .......​
nikdorinn [45]

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\

these options correspond to a and b from the original question.

8 0
2 years ago
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