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marta [7]
3 years ago
15

Six more than the quotient of 4 and a number x

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0
Step one: Convert sentence to a expression

Answer: (4/x)+6
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In the function f(x)= 4 ( x²- 6x +___ ) +20 , what number belongs in the blank?
cluponka [151]
If the brackets need to be a square term of the form (x+h)^2
then
just half the co-efficient of x term and square it.

So here it will be
(-6)/2 = -3
squaring it, (-3)^2 = 9

so 9 is what goes in the blank to make the bracket () of the form (x+h)^2
7 0
3 years ago
Please help me answer this question
strojnjashka [21]

Answer:

  • modulus: 3√2
  • argument: -3π/4  (or 5π/4)

Step-by-step explanation:

The modulus is the magnitude of the complex number; the argument is its angle (usually in radians).

__

<h3>rectangular form</h3>

The complex number can be cleared from the denominator by multiplying numerator and denominator by its conjugate:

  \dfrac{-9+3i}{1-2i}=\dfrac{(-9+3i)(1+2i)}{(1-2i)(1+2i)}=\dfrac{-9+3i-18i-6}{1+4}=-3-3i

<h3>polar form</h3>

The magnitude of this number is the root of the sum of the squares of the real and imaginary parts:

  modulus = √((-3)² +(-3)²) = 3√2

The argument is the arctangent of the ratio of the imaginary part to the real part, taking quadrant into consideration.

  arg = arctan(-3/-3) = -3π/4  or  5π/4 . . . . radians

__

  modulus∠argument = (3√2)∠(-3π/4)

3 0
2 years ago
If stratified random sampling with proportional allocation is used to select a sample of 25 high​ schools, how many would be sel
gregori [183]

Answer:

02 High Schools would be selected from the stratum with a​ percent-free-lunch value of 40 less than or equals x​.

Step-by-step explanation:

As the sample size needed is 25 and total schools are 100 so this indicate 1 school in each 4 schools is to be selected. This is given as

n=\frac{n_{total}}{n_{sample}}\\n=\frac{100}{25}\\n=4

Now as the schools with percent free lunch are 8 so now

n=\frac{n_{total}}{n_{sample}}\\n=\frac{8}{2}\\n=2

So only 2 schools will be selected in this regard.

7 0
3 years ago
What is the answer to this math problem 3/10+2/5
Dominik [7]
Multiply 2/5 by 2 to get 4/10

4/10 + 3/10 = 7/10
4 0
4 years ago
Read 2 more answers
Alex wrote this equation to represent the total distance she ran in two weeks.
egoroff_w [7]
The correct answer is A.
8 0
4 years ago
Read 2 more answers
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