Simplify (4.5)(5)(−2).

The equation which is representing x-intercept 1; y-intercept −4 is y = 4x - 4.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the equation is y = mx + c which is the standard form of the linear equation.

Now,

At x- intercept ⇒ (1,0)

So,

0 = m(1) + c

c = -m

And y- intercept ⇒ (0,-4)

-4 = m(0) + c

c = -4

So m = 4

Therefore,

y = 4x - 4 will be the equation.

Hence "The equation which is representing x-intercept 1; y-intercept −4 is y = 4x - 4".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Corinne's puppy eats a total of 96 meals in 32 days.

To find out how many meals Corinne's puppy eats in 32 days, we need to multiply the number of meals per day by the number of days.

Determine the number of meals per day.

Since the puppy eats 3 meals a day, the number of meals per day is 3.

Calculate the total number of meals in 32 days.

Number of meals per day × Number of days = Total number of meals

3 meals/day × 32 days = Total number of meals

3 × 32 = Total number of meals

96 = Total number of meals

So, Corinne's puppy eats a total of 96 meals in 32 days.

Complete Question:

Corinnes puppy eats 3 meals a day. How many meals does the puppy eat in 32 days ?

If a grouping of numbers, variables, operators and/or functions used to represent a specific mathematical computation or connection is known as an expression. The expression 21  of  35% is 60.

Let x represent  the unknown number

The given data states that 21 is 35% of that unknown number.

Mathematically we can express this relationship as an equation:

0.35 * x = 21

To solve for x divide both sides of the equation by 0.35:

x = 21 / 0.35

Evaluating the expression on the right side of the equation:

x = 60

Therefore, 21 is 35% of 60.

Learn more about expression  here:https://brainly.com/question/1859113

#SPJ6

Answer:

$15.99

Step-by-step explanation:

A music download service charges a flat fee each month and $0.99 per download.

Charge of downloaded 27 songs in this month = 0.99 × 27

                                                                              = $26.73

The total cost for downloading 27 songs this month = $42.72

Therefore, the flat fee = 42.72 - 26.73 = $15.99

Flat fee for the month is $15.99.

Answer:

Her old house is 3000m+457m = 3457m from her new house.

Step-by-step explanation:

Conversion of units problems can always be modeled as a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In the case of a conversion of units problem, the measures are:

- the value in one unit

- the value in another unit

As the value of the first unit increases, so will the value of the second unit. It means that in a conversion of units problem, we will always have a direct rule of three.

The problem states that Cheryl's new house  is 3 kilometers and 457meters from her old house. The problem wants to know this distance purely in meters, so we have to convert 3km to meters. 1km = 1000m, so:

1km - 1000m

3km - xm

x = 1000*3

x = 3000m

Her old house is 3000m+457m = 3457m from her new house.

Answer:

Answer not possible

Step-by-step explanation:

B

D

A

A

A

C

A

B

A

B

D

B

D

B

D

A

C

invalid

the rest on you guys yw

honors geom

f−1(x)=x−32

Follow the steps:

f(x)=2x+3

1- replace f(x) with y →y=2x+3

2- simply switch x and so the equation looks like x=2y+3

3- use algebra to solve for y. (isolate y)
x=2y+3

x−3=2y

x−32=y

This is the inverse function and is written as

f−1(x)=x−32

Answer:

In 7 years

Step-by-step explanation:

Victors age: 17-12=5

Kate's age:17+7=24

Victors age:5+7=12

24 divided by 2 equals to 12.

~~~~~~~

Check your answer

5+12=17

24-7=17

12-7=5

12*2=24

To solve the given iterated integral, integrate the function of x with respect to x and then integrate the resulting function with respect to y.

The given iterated integral can be solved by integrating the function of x with respect to x first and then integrating the resulting function with respect to y. The limits of integration are given as (-8, 8) for x and (0, π/2) for y.

Step 1: Integrate the function of x with respect to x.

Step 2: Integrate the resulting function of x with respect to y.

Step 3: Evaluate the iterated integral using the given limits of integration.

https://brainly.com/question/34714942

#SPJ11

Answer: About 70 yards :D.

Hope this helped

A. Since the blanket to be made is a square, therefore there should be equal number of fabric on all sides. So find the square root of 120.

number of fabrics = sqrt (120) = 10.95

Since number of fabrics cannot be decimal, therefore the largest number of pieces of fabric per side is 10 (length and width).

Since each fabric measures 6 inches, so total length per side is 60 inches. The area is therefore:

Area of blanket = 60 in * 60 in = 3600 square inches

B. Since the two sides, length and width, has same number of fabrics which is 10, so total number used is = 10 * 10 = 100

So the left-over are 120 – 100 = 20 fabrics left over

C. To create a bigger blanket, it would require 11 fabrics per side, so total number used would be = 11 * 11 = 121

Therefore only 1 additional piece of fabric is required.