The function p is defined as p(x)=x2+4x-12
Part A
Write an expression that defines p(x-6)+5

Part B
Describe the transformations that map the graph of p(x) to p(x-6)+5. Justify your answer algebraically or by using key features of the graph.

Remark

They all have (0,0) as a point on the proportional relationship, so the general equation for this is

y = kx

Now all we have to do is find k

Method

If any two points (besides (0,0) ) give the same k as an answer then that is the proportional relationship.

Solution

(1/4) ÷(1/3)     Change to a decimal

0.25 ÷ 0.3333333 = 0.75

(4/4) ÷ (2/3) = 1 ÷ 0.666666 = 1.5 Rounded

A is not the answer

B

1 ÷ 2/7 = 1 ÷ 0.28571 = 3.5

2 ÷ 5/7 = 2÷ 7142857 = 2.8 Not the same

B is not the answer

C

(2/5) ÷  3 = 0.4 ÷ 3 = 0.13333333

(1/5) ÷ (3/2) = 0.2 / (1.5) = 0.13333333

Answer C

Comment

The answer is C or y = 0.133333 x

Notice that whenever possible, change these into decimals. Decminals are easier to handle.

Answer:

(30-49)/(42/6)6*8=184

Step-by-step explanation:

Another way of naming line m is AB

Last one is the answer

Answer: The fourth option. [tex]AB^{<-->}[/tex]

Step-by-step explanation:

BA stands for the segment between B and A, so this is not the correct option.

B (with a double arrow on top) refers to a line, but with only one point we could draw infinite lines, so this is not the correct option)

mB (with a double arrow on top) does not mean anything.

AB (with a double arrow on top) refers to a line that phases through the points A and B, so this is the other way of naming the line m.

Final answer:

The daughter is 10 years old, and the mother is 36 years old. We solved two equations simultaneously to find their ages, based on the relationship between their ages and their combined total age.

Explanation:

To solve the problem, we need to set up two equations based on the information provided. Let's denote the daughter's age as d and the mother's age as m. We are given that the mother is 6 years older than 3 times her daughter's age. Formally, this can be expressed as:

m = 3d + 6

Next, we know that their combined ages total 46. This leads to a second equation:

m + d = 46

We can use these two equations to solve for d and m. Substituting the expression for m from the first equation into the second gives:

3d + 6 + d = 46

We simplify this to find d:

4d + 6 = 46

4d = 40

d = 10

Now we can use this to find m:

m = 3(10) + 6

m = 30 + 6

m = 36

So the daughter is 10 years old and the mother is 36 years old.

c.  The lower your interest rate is, the lower your monthly payments are.

on edge 2021 (:

midpoint = ( [tex]\frac{13}{2}[/tex], - 6 )

using the midpoint formula

midpoint = [ [tex]\frac{1}{2}[/tex](4 + 9), [tex]\frac{1}{2}[/tex](- 10 - 2 )] = ( [tex]\frac{13}{2}[/tex], - 6)

This answer is 18y • (y - 1)

Step by step solution:

Equation at the end of step 1:

[tex]9 (x - y) ^2 - 9 (x^{2} - y^{2})[/tex]

Equation at the end of step 2:

[tex]9 (x^2 + y^2 - 2xy) - 9 (x^2 - y^2)[/tex]

Equation at the end of step 3:

[tex]9x^2 + 9y^2 - 18xy - 9x^2 + 9y^2[/tex]

Equation at the end of step 4:

After performing basic +, - operation we get:

[tex]18y^2 - 18xy[/tex]

Answer is: 18y. (y – x)

Answer:

Step-by-step explanation:

he or she is correct

Add them all up:

15 + 4 1/2 + 6 3/4 = 26 1/4 in.

2 ft equals 24 in.

2 1/2 ft = 30 in.

Yes, it is a valid claim.

Answer:

No. This is not a valid claim

Step-by-step explanation:

First we sum up the total snowfall for the 3 days as:

Monday= 15 inches

Tuesday=4.5 inches

Wednesday=6.75 inches

Total= 26.25 inches

As it is understood that there are 12 inches per foot. So we can simply multiply the number of inches it snowed during the last three days by this factor to find out.

26.25  in ×  1ft /12in ⇒

i.e. 26.25 x 1ft/12

which is 26.25ft / 12

that concludes 2.1875 ft

so it is not close to the forecaster said over 2 1/2 ft

im gonna say always a monomial ...

Answer: Always

Step-by-step explanation:

Your equation is just to multiply 480 by 3/4.

Easy way to do these quick.

480 (3/4) is the same as (480 * 3) / 4

480 / 4 = 120

By simplifying, you are left with just 120 * 3 in the numerator

120 * 3 = 360

There are 360 people on the plane.

If you need to check your answer:

360 / 480

Take away the zeros at the end by dividing both by 10

36 / 48

Divide both by 6

6 / 8

Now divide by 2

3 / 4

-11 is the smallest integer!

Why? Because it's a negative number. -5 is the closest to being a positive. 15 is the largest integer so the answer is -11

Answer:

3/5 and 60%

Step-by-step explanation:

its 54 bro trust me i know what im doing

nis after your done can you mind helping me after.. its ok if not.

Answer:

18

Step-by-step explanation:

Make a proportion 45/100  and x/45 then do cross multiplication then solve

The square root of a number can be estimated by locating which two perfect squares it falls between. This provides the two consecutive integers between which the square root lies. For example, the square root of 12 falls between the perfect squares of 9 (3^2) and 16 (4^2), thus it lies between the integers 3 and 4.

To determine between which two integers a square root lies without using a calculator, you can use the method of perfect squares. Perfect squares are numbers that result from squaring integers. For instance, the perfect squares for the integers 1, 2, 3, 4, and 5 are 1, 4, 9, 16, and 25, respectively.

Let's say you wish to locate the square root of 12. You can list the perfect squares until you find two such that 12 falls between them. In this case, we can see that 12 is between the perfect squares 9 (3^2) and 16 (4^2). Therefore, the square root of 12 is between the integers 3 and 4.

This is a straightforward method for roughly determining the value of a square root without using a calculator. Exact values can unfortunately only be determined with the help of a calculator or mathematical tools beyond middle school level.

https://brainly.com/question/28530701

#SPJ3

The answer could be -120 in a simplified form

Answer:

−40+(−20)+(−60) = -40 - 20 - 60= -120

Step-by-step explanation:

because of the shape it is molded as, some balloons are made to be hearts so when they are blown up they are shaped like hearts

The correct answer is C. (x+4)(x+2)(x+5)=0

To find the factored form of the equation, we can use synthetic division to divide the polynomial by (x - 4). The quotient will give us the factored form of the equation: (x - 4)(x^2 + 7x - 2).

To find the factored form of the equation x^3 + 3x^2 -18x - 40 = 0 when four is a zero, we can use synthetic division. Synthetic division can be used to divide the polynomial by (x - 4). The quotient will give us the factored form of the equation.

Set up the synthetic division:

  4 | 1 3 -18 -40

Perform the synthetic division:

   •                              4                    

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

     1     7    -2

Step 3:

Write the quotient as the factored form:

x^3 + 3x^2 -18x - 40 = (x - 4)(x^2 + 7x - 2)

https://brainly.com/question/37594425

#SPJ3

9 * 9 * 9 = 729. This is also an exponent 9^3.

When you determine the powers you need to multiply the number itself how many times the power says to multiply.

9 raised to the power of 3 is equal to 729.

Given that we need to find that what is 9 to the power of 3.

To calculate 9 to the power of 3, we need to multiply 9 by itself three times.

In mathematical notation, it is written as 9³.

First, we start with 9 and multiply it by itself:

9 × 9 = 81

Next, we multiply the result by 9 again:

81 × 9 = 729

In simpler terms, it means that if you multiply 9 by itself three times, you get the result of 729.

Therefore, 9 raised to the power of 3 is equal to 729.

Learn more about exponents and powers click;

https://brainly.com/question/28515493

#SPJ6

3 x 4 = 12 because there are 4 sides and the length is 3, you multiply 3 and 4 together.

Answer:

Perimeter of square=12x

Step-by-step explanation:

the perimeter of a square with sides of length 3x

The side length of the square is 3x

To find perimeter we add all the sides. All sides are same in a square.

Perimeter of square= 4(a)

where 'a' is the side length

a= 3x. Substitute 3x for 'a'

Perimeter of square= 4(3x)=12x

For this case we have the following rule of three:

288 cars -------------------> 6days

x cars -------------------> 1dia

Resolving you have that the value of the variable x is given by:

[tex]x =\frac{(1)(288)}{6}\\\\x = 48\\[/tex]

Thus, the constant of proportion per day is 48 cars.

Answer:

Option B

Independent variable: The number of houses Harold sells

Dependent Variable: The amount of money Harold earns

Function: f(x)=250,000(x)

x represents how many houses Harold sells, and f represents how much money Harold earns.

Now, let's solve the problem.

f(x)=250,000(9)

f(x)=2,250,000

Harold earns $2,250,000

To find the total fraction of food eaten by George and Silvia, convert each of their portions to have a common denominator and then add the fractions together, resulting in them eating 13/15 of the container.

The question asks us to find the total fraction of the container of Chinese food that George and Silvia ate together. George ate 2/3 of the container, while Silvia ate 1/5 of it. To find the total amount they ate, you need to add these two fractions together.

Calculating the sum of the fractions:

First, find a common denominator, which in this case is 15 (because 3 and 5 both divide evenly into 15).

Convert each fraction to an equivalent fraction with a denominator of 15:

George's portion becomes (2/3) x (5/5) = 10/15

Silvia's portion becomes (1/5) x (3/3) = 3/15

Add the two fractions: 10/15 + 3/15 = 13/15

Therefore, together, George and Silvia ate 13/15 of the container of Chinese food.

First we find the slope of the given line as both the lines are parallel therefore their slopes are equal.

To find slope of given line we compare the equation with point slope form i.e.

[tex]y=mx+c[/tex]

On comparing [tex]y=2x+9[/tex]

We get [tex]m=9=slope [/tex]

As the required line is parallel to given line its slope is equal to given line

[tex]m=9[/tex]

Required line pass through[tex](3,1)[/tex]

Using point slope form

[tex]y-y_1=m(x-x_1)[/tex]

Here [tex]m=9, y_1=1, x_1=3[/tex]

Putting the values and solving

[tex]y-1=9(x-3)[/tex]

[tex]y-1=9x-27[/tex]

[tex]9x-y=26[/tex] is the required equation

Hope this will help