68 increased by 75%

Answer:

1. The slope is -4/5 and the y-intercept is (0, -9/5).

2. The slope is 3 and the y-intercept is (0,3).

3. The line is y=-2x+3.

Step-by-step explanation:

To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.

1. Convert the equation by rearranging the terms using inverse operations.

4x+5y=-9                             Subtract 4x to both sides.

-4x            -4x

------------------------------------

     5y= -9 -4x                       Divide both sides by 5.

       y= -9/5 - 4/5x

This is now in y=mx+b and m=-4/5 and b=-9/5.

2. Convert the equation by rearranging the terms using inverse operations.

y - 3(x-1)=0                             Add 3(x-1) to both sides.

   +3(x-1)      +3(x-1)

------------------------------------

            y = 3(x+1)                  Multiply 3 into the parenthesis.

            y = 3x+3

This is now in y=mx+b and m=3 and b=3.

3. Write the equation of a line using point slope form

.

This becomes

Here m =-2 and b=3.

Answer:

A. and

Step-by-step explanation:

We have been given a system of equations. We are asked to find the solution of our given system.

Equate both equations:

Split the middle term:

Use zero product property:

Now, we will substitute both values of x, in our given equation to solve for y.

One solution:

2nd solution:

Therefore, option A is the correct choice.

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = x² - 4x + 8 → (1)

y = 2x + 3 → (2)

Since both express y in terms of x we can equate the left sides, that is

x² - 4x + 8 = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

Substitute these values into (2) for corresponding values of y

x = 1 : y = (2 × 1) + 3 = 2 + 3 = 5 ⇒ (1, 5)

x = 5 : y = (2 × 5) + 3 = 10 + 3 = 13 ⇒ (5, 13)

Solutions are (1, 5) and (5, 13)

An event measured in days would be something long enough that to measure it in hours would be too big of a number.

Event measurement;

An event is measured in days if it occurs for a long course of a time such that counting it in a number of hours or minutes would be too long to calculate.

An event measured in days would be something long enough that to measure it in hours would be too big of a number.

For example, the Olympics could be measured in days because it takes place over the course of several weeks, so keeping track of Day 1, Day 2, etc. would make more sense than counting by hours.

The things like sporting events or freak storms are measured in days or weeks. Depends. For weather, it could be hurricanes, tornados, or even large fires(not quite weather, but could be).

To know more about event measurement click the link given below.

brainly.com/question/1112264

Answer with explanation:

An event is measured in days if it occurs for a long course of a time such that counting it in number of hours or minutes would be too long to calculate in.

for example-

1) The happening of a Olympic games  or some other games that are held for a long course of a time could not be described in days.

2) Week:

a week has 7 days.

Answer:

multiplier

Step-by-step explanation:

You get from a distribution. for example 2 (a + b) = (2a) + (2b) which has happened in this problem. It turns out the same if I make a sum of the subsequent parenthesis of a multiplication

Answer:

This is called "Distributive Law "

Step-by-step explanation:

x(y + z) = xy + xz

Answer:

Step-by-step explanation:

Given : A spinner is divided into five equal sections labeled 1 to 5.

Thus , the total number of sections on the spinner =5

Number of favorable outcomes =1

Then , the probability that the spinner will land on 3 is given by :-

Hence, the probability that the spinner will land on 3 is