MATHEMATICS
MIDDLE SCHOOL

Answer:

Fraction with variable x in numerator and 6 in the denominator can written in the algebraic expression as

Let's assume some number is n.

So, the sum of six and some number can be written as 6+n.

The product of six and some number can be written as 6*n.

The quotient of some number and six will be n/6.

The difference of six and some number will be 6-n.

Answer:

Answer: on the test its c. (the quotient)

Step-by-step explanation: have a great day! :)

HIGH SCHOOL

Determine the slope and y-intercept

-6x-5y=15

The slope of a line in form ax+by=c is -a/b

the yint of the line is c/b

so

-6x-5y=15

slope=-(-6)/-5=6/-5=-6/5

yint is 15/-5=-15/5=-3

slope=-6/5

yint is -3

or you could just do slope intercept and solve for y

y=mx+b

m=slope

b=yintercept

slope=-6/5

yint is -3

the yint of the line is c/b

so

-6x-5y=15

slope=-(-6)/-5=6/-5=-6/5

yint is 15/-5=-15/5=-3

slope=-6/5

yint is -3

or you could just do slope intercept and solve for y

y=mx+b

m=slope

b=yintercept

slope=-6/5

yint is -3

Slope:

-6x-5y=15

-6x-15=5y

5y=-6x-15

y = -6x-15 or

5

y = -6x/5 -3

so the slope is -6/5

Y-intercept is found when x = 0, so

y = -6x/5 -3

y = -6(0)/5 -3

y = -3

-6x-5y=15

-6x-15=5y

5y=-6x-15

y = -6x-15 or

5

y = -6x/5 -3

so the slope is -6/5

Y-intercept is found when x = 0, so

y = -6x/5 -3

y = -6(0)/5 -3

y = -3

COLLEGE

Find the 22th term in the arithmetic sequence

23,14,5,-4

Answer:

-45

Step-by-step explanation: no explanation

HIGH SCHOOL

Y = x^2 undergoes a horizontal stretch by a factor of 1/3 , then a shift up of 4 units.

The function y = (1/3)x² + 4 for the graph is described as the given transformation.

What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The given function for the graph is described as a transformation of y = x².

The transformation will be as a horizontal stretch by a factor of 1/3, then a shift up of 4 units.

As per the given transformation, the required function will be as

y = (1/3)x² + 4

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ2

now, with that template in mind, let's see this one

a horizontal stretch of 1/3, meaning AB is 3... so... A = 3, and B =1 will do

shift UP of 4 units, meaning D = 4

COLLEGE

A rectangular pool is 18 meters wide and 24 meters long. If you swim diagonally across the pool, how many meters would you be swimming?

Using the Pythagorean theorem, the diagonal measure is found as

√((18 m)² +(24 m)²) = √(324 +576) m = √900 m

= 30 m

You would be swimming 30 meters.

√((18 m)² +(24 m)²) = √(324 +576) m = √900 m

= 30 m

You would be swimming 30 meters.