MATHEMATICS HIGH SCHOOL

F(x)=4x-1
G(x)=x+3
Find f(x)+g(x)

Answers

Answer 1

Answer:

Answer:

Answer is 5x+2

Step-by-step explanation:

$Given \: f(x) = 4x - 1 \: \: and \: \n g(x) = x + 3 \n f(x) + g(x) = 4x -1 + x + 3 \n = 5x + 2$

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Simplify the expression 4^2+8÷2

Answers

the answer is 20,
16+8/2
16+4
20

The answer is 12
4^2 =16
16+8= 24
24/2=12

Function : y=4 sin(3x)-2Determine the period of the function. How is it related to the question?

Determine the midline of the function. How is it related to the question?

Domain(interval notation) Range(interval notation)
Max______ Min______
Plot at least 2 cycles of the trigonometric graph correctly
Make sure you put arrows on the end of the graph
Make sure you accurately plot the zeros. list them below

___________________if this function even or odd? Explain how you know

Describe the transformations from y = sin (x)

Answers

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

If the sales tax is 7% and the purchase price is $161, what is the amount of tax?

Answers

$7 \% \ from \ 161 \ = \ (7)/(100) * 161 = ( 1127)/(100) = 11,27\ is \ amount \ of \ tax \$

What is the sum of the finite arithmetic series?4+8+12+16+...+76

a. 760
b. 780
c. 800
d. 860

Answers

The answer is A. I think. Hope this helped :)

The answer is:

a. 760

Which of the following is a solution of z^5 = 1 + √3 i? 5√2 (cos150° + isin150°)
5√2 (cos156° + isin156°)
5√2 (cos174° + isin174°)
5√2 (cos204° + isin204°)

Please show me how to work it out.

Answers

Answer:

Option 2 is right

Step-by-step explanation:

Given that

$z^5=1+√(3) i$

We can write this in polar form with modulus and radius

$|z^5|= √(1+3) =2\ntan of Angle t =√(3) \n$

Hence angle = 60 degrees and

$|z^5|= 2(cos60+isin60)$

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

$z= \sqrt[5]{2} (cos12+isin12)\nz=\sqrt[5]{2} (cos84+isin84)\n\nz=\sqrt[5]{2} (cos156+isin156)\n\nz=\sqrt[5]{2} (cos228+isin228)\n\nz=\sqrt[5]{2} (cos300+isin300)\n$

Out of these only 2nd option suits our answer

Hence answer is Option 2.

Translate the sentence into an equation. The product of 8 and a number increased by 4 is 60.a. 8y + 4 = 60
b. 4y + 8 = 56
c. 8 ÷ y + 4 = 56
d. y + 8 + 4 = 56

Answers

Okay so if they say the product of 8 and a number that means multiplication. If they said the quotient of 8 and a number that would mean dividing. so knowing this your answer would be A because 8y means 8 times y which could be any number and then when you add 4 it has to equal 60. The answer is A.
Hope that helps.

Final answer:

The equation for the sentence is 8y + 4 = 60.

Explanation:

The sentence can be translated into the equation 8y + 4 = 60.

Here's why:

The phrase 'the product of 8 and a number' can be represented as 8y, where y is the number.
The phrase 'increased by 4' means adding 4 to the product.
The phrase 'is 60' means the sum is equal to 60, which is represented by the equal sign (=) in the equation.

Therefore, the correct answer is a. 8y + 4 = 60.