MATHEMATICS HIGH SCHOOL

Which expressions are equivalent? mc015-1.and mc015-2.
mc015-3.and mc015-4
mc015-5.and mc015-6.
mc015-7.and mc015-8.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer 2

Answer:

Answer:

Step-by-step explanation:

on edge

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Algebra 1b radical expressions & data analysis1. Simplify 2/√5

A. 2/√5
B. √10
C. √10/5
D. 2√10/5 *** My answer

2. Simplify -11√112

A. -44√7
B. -176 √7
C. -27 √7
D. 4√7 *** My answer

3. Simplify 17√17 -9 √17

A. 8 *** My answer
B. 8√17
C. 26√17
D. 8√0

4. Simplify 6/ √3 + 2

A. 4/ √3
B. 12 - 6 √3 *** my answer
C. √3 - 2
D. 3

5. What is the domain of the function y = 3√6x + 42 ?

A. X≥0
B. X ≤7 *** my answer
C. X ≥ -6
D. X ≥ -7

6. What are the domain and range of the function y = 2 √3x + 4 - 5 ?

A. X ≥ -4/3 ; y ≥ -5 *** my answer
B. X ≥ 4/3 ; y ≥ -5
C. X ≤ -4/3 ; y ≤ -5
D. X ≥ -4/3 ; y ≥5

7. When will the dependent variable in the equation y = √x+4 - 3 equal or exceed 4 ?

A. X ≥ -0.17
B. X ≥ 45
C. X ≥ 48 *** my answer
D. X ≥ 53

8. Simplify the radical expression. Show all of the steps.

√363 - 3√27

Answers

1 none
2 a
3 b
4 none
5 d
6 a
7 b
$√(363) - 3 √(27) = √(3 * 11 * 11) - 3 √(3*3*3) = 11√(3) - 9 √(3) = 2√(3)$

What is the elapsed time between 2:16 AM and 8:10 PM

Answers

So we wan't to know how much time has passed from 2:16 AM till 8:10 PM. If we know that one day has 24 hours and that AM and PM are two 12 hour periods we can say the following: 2:16 AM is 2:16 h in the 24 hour cycle. and 8:10 PM is 20:10 h in the 24 hour cycle. so from 2:16 hours to 20:10 hours there is a time interval of 17 hours and 54 minutes.

17 hours and 54 minutes

If the point(x,√3/3)is on the unit circle, what is x?

Answers

The equation of the unit circle:
$x^2+y^2=1$

$(x,y)=(x, (√(3))/(3)) \n \nx^2+((√(3))/(3))^2=1 \nx^2+(3)/(9)=1 \nx^2+(1)/(3)=1 \nx^2=1-(1)/(3) \nx^2=(3)/(3)-(1)/(3) \nx^2=(2)/(3) \nx=\pm \sqrt{(2)/(3)} \nx=\pm (√(2))/(√(3)) \nx=\pm (√(2) * √(3))/(√(3) * √(3)) \nx=\pm (√(6))/(3)$

x is equal to $-(√(6))/(3)$ or $(√(6))/(3)$ .

How to factor completely: 15x²-40x-15

Answers

$15x^2-40x-15 =0\ \ /:5\n \n3x^2-8x-3 =0 \n \na=3, \ b=-8 , \ c= -3 \n \n\Delta =b^2-4ac =(-8)^2 -4\cdot 3\cdot (-3)=64+36=100 \n \nx_(1)=(-b-\Delta )/(2a)=(8-√(100))/(2 \cdot 3)=(8-10)/(6)=-(2)/(6)=-(1)/(3)$

$x_(2)=(-b+\Delta )/(2a)=(8+√(100))/(2 \cdot 3)=(8+10)/(6)= (18)/(6)=3\n \n 3x^2-8x-3 = 3(x+(1)/(3))(x-3)=(3x+1)(x-3) \n \n \nAnswer : \ 15x^2-40x-15 = 3x^2-8x-3 =(3x+1)(x-3)$

Joel earns $1,700 per month. If he spends $425 on rent each month, what percent of his income does he spend on rent? A. 331/3% B. 25% C. 20% D. 40%

Answers

$(425)/(1700)$ = 0.25

0.25 × 100 = 25%

Answer is B. 25%

425/1700 x 100 = 25%
so the answer is 25%

2,7,26,101,400 what is the next number

Answers

The next number in the sequence is 1595.

Here, given that, the sequence of numbers is: 2,7,26,101,400....

The relationship between the successive numbers in the sequence:

$x_((n+1)) = 4x_n - n$

Now, applying it to the given sequence:

$x_1 = 2\nx_2 = 4 * 2 - 1 = 7\nx_3 = 4 * 7 - 2 = 26\nx_4 = 4 * 26 - 3 = 101\nx_5 = 4 * 101 - 4 = 400$

As we can see, the formula $x_((n+1)) = 4x_n - n$ holds true for each term in the sequence, and it gives us the correct values for the subsequent terms.

Now, to find the next number in the sequence,

we use the formula with n = 5:

$x_((5+1)) = 4 * x_5 - 5\nx_6 = 4 * 400 - 5\nx_6 = 1600 - 5\nx_6 = 1595$