MATHEMATICS HIGH SCHOOL

In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation 3x+5y = 8?

Answers

Answer 1
Answer: the y-intercept will be (8)/(5)

the standard line equation is y = mx + b, where y is the y point, x is the x point, m is the slope, and b is the y-intercept.

to get the y intercept, we need to transform  into the line equation, and caculate out b.

3x + 5y = 8
so 5y = 8 -3x
then y = (8)/(5) - (3)/(5)x
which  means that (8)/(5) = the y intercept.

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A sequence is defined by the recursive function f(n + 1) = f(n) – 2.If f(1) = 10, what is f(3)?

Answers

I hope this helps you

Answer:

f (3) = 6

Step-by-step explanation:

For the function y = -2+5sin(pi/12(x-2)), what is the maximum value?

Answers

To get the function y = -2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))

Equate to zero:
5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8

Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86

Answer:

i got 3

Step-by-step explanation:

Select all the equations that match the tape diagram below.A. 5(2+x) = 19

B. 2(x+5) = 19

C. 5x + 2 = 19

D. 19 = 2x - 5

E. 10 + 5x = 19

F. 5x = 9

G. 10x + 5x = 19

Answers

I’m sure it’s only A/E, apologies if wrong

Which equation is correctly rewritten to solve for x?

Answers

Answer: D

subtract p from both sides

Divide by negative q from both sides

Answer:

D equation is correctly rewritten to solve equation

Simplify each complex fraction. Show all work please

Answers

invert an multiply

(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)


1..
(4x/45)/(12x/25)=(4x/45)(25/12x)=(100x)/(540x)=5/27

2.
(x/9)/(3x/2)=(x/9)(2/3x)=(2x)/(27x)=2/27

3.
(7x/9)/(49/3x)=(7x/9)(3x/49)=(21x^2)/(441)=(x^2)/21

4.
(2x^2y/3yz)/(6/xz)=(2x^2y/3yz)(xz/6)=(x^3)/(9)

5. (4y-3x)/(3xy+y^2)

6. (-9x+6)/(8x+6)

7. (yx^2+y^2)/(x^2+xy^2)

8. x^-1=1/x
(x^2)/(4x+1)

Select all ratios that are in their simplest form.
4:24 28:15 3:13 18:30 12:14

Answers

Answer:

1. 28:15

2. 3:13

Step-by-step explanation:

The ratios above have no common factor.

4:24 .

Common factor : 4

18:30

Common factor : 6

12:14

Common factor : 2

Answer:

28:15

3:13

Step-by-step explanation:

The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.

Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.
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