What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2

Answer:

f(x) = x^3 - 6x^2+8x

Step-by-step explanation:

Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).

The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:

x=0 and x=2 and x=4

Just "undo" that last step of solving and you get:

x = 0 and

x - 4 = 0 and

x - 2 = 0

These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.

so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.

(x - 2)(x - 4)

use FOIL or distributive property or area model(box) method to multiply and get

x^2 - 6x + 8

Then multiply in the x using distributive property.

f(x) = x(x^2-6x+8)

f(x) = x^3 - 6x^2 + 8x

That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.

The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours

Given Data

For Acme, the expression for the total charges is

Total = 45+40x ----------1

For Hank, the expression for the total charges is

Total = 55x ----------------2

Equating both expressions we have

45+40x = 55x

collect like terms

45 = 55x-40x

45 = 15x

divide both sides by 15

x = 45/15

x = 3 hours

Learn more about algebra here:

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Answer:

I believe the answer should be 90:90:180. I may be wrong.

Answer:

some number increased by two: (E) b+2

A variable decreased by two: (D) x-2

Product of an unknown value and two (C) 2z

Quotient: (A) a / 2

An unknown value squared: (B) y2

Answer:

amgle sut is equal to angle suv bcz of sas criteria . so 10+w = 3w

on solving we get w= 5

Answer:

8 feet are represented by a 4-inch line.

Step-by-step explanation:

Scale:

1/2 (0.5) in. = 1ft

1/2x = 1

x = 2

4x in. = ? ft

4(2) in = ? ft

4 x 2 = 8

8 feet are represented by a 4-inch line.

hope this helps!! p.s. i really need brainliest :)

Answer:

12 apples is the answer because 1/2 divided by 6 is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.

Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.

[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]

Hence,

[tex]\\[/tex]

Now,

[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]

Hence,

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given:-

To find :-

Solution:-

Let the length of Rectangular garden be x + 9 feet and width be x feet .

We know that , the formula of Perimeter of rectangle is 2 ( L + B )

putting the known values to find the dimensions ,

2 ( L + B ) = 206 feet

2 ( x + 9 + x ) = 206 feet

4 x + 18 = 206 feet

x = 47 feet

putting the values of x in the equation ,

Length :- 56 feet

width :- 47 feet

Now , area of rectangular garden :- L×B

Area => 56×47 feet²

Area => 2632 feet²

Answer:

The answer is

→ [tex]A_L = 60[/tex]

Step-by-step explanation:

a Base side is 4cm

b Base side is 5cm

c Base side is 11cm

h Height is 3cm

I ran into a problem when inputing the c Base side. It won't allow me to go over 8cm, for some reason. But hold on. I found a solution! :)

a Base side is 4cm

b Base side is 5cm

c Base side is 8cm ← (Don't mind this, I'll explain it below.)

h Height is 3cm

With c Base side being 8cm, the result is [tex]A_L = 51[/tex]. This is clearly incorrect and is not supposed to be like that. But hold on! Let me explain what I did to fix the problem. Since 8cm was the maximum amount, I did this to fix the problem:

51 + 3 = 54 (9cm)

51 + 6 = 57 (10cm)

51 + 9 = 60 (11cm)

Hope this is easy for you to understand...

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Submitted on 4/16/2022 at 10:20 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

We have to factorise?

Let's see

#1

Take -5ac common

#2

Done!

Answer:

Question d

[tex]\sf -10a^2c+20ac-5ac^3[/tex]

Factor out common term -5:

[tex]\sf \implies -5(2a^2c-4ac+ac^3)[/tex]

Factor our common term a:

[tex]\sf \implies -5a(2ac-4c+c^3)[/tex]

Factor out common term c:

[tex]\sf \implies -5ac(2a-4+c^2)[/tex]

Question f

[tex]\sf 10c^3d-8cd^2+2cd[/tex]

Factor out common term 2:

[tex]\sf \implies 2(5c^3d-4cd^2+cd)[/tex]

Factor out common term c:

[tex]\sf \implies 2c(5c^2d-4d^2+d)[/tex]

Factor out common term d:

[tex]\sf \implies 2cd(5c^2-4d+1)[/tex]

Answer:

1/2

Step-by-step explanation:

3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2

Answer:

27 miles

Step-by-step explanation:

27 miles is your answer

Answer:

I think that the answer is 56

60

The answer is given in the above picture.

Hope u like it............

Answer:

y=6x+8

Step-by-step explanation:

y=mx+b

-4=6(-2)+b

-4=-12+b

8=b

The total amount of money that Karen withdrew from her account three years later is $11,015.48.

When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.

The formula for calculating future value:

FV = P (1 + r)^nm

$10,000 x (1 + 0.0325/2)^6 = $11,015.48

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

1.52 cups

Step-by-step explanation:

360 ml / (236.588 ml/cup ) = 1.52 cups

Answer:

2485.04

Step-by-step explanation:

Count the number of 20s in the given expression: 3

⇒ 3 × 20 = 60

Count the number of 25s in the given expression: 4

⇒ 4 × 25 = 100

Count the number of 40s in the given expression: 4

⇒ 4 × 40 = 160

Count the number of 50s in the given expression: 15

⇒ 15 × 50 = 750

Count the number of 60s in the given expression: 3

⇒ 3 × 60 = 180

Count the number of 80s in the given expression: 2

⇒ 2 × 80 = 160

Count the number of 100s in the given expression: 6

⇒ 6 × 100 = 600

Finally, there is one each of 125, 150, 200 and 0.04

To find the total, sum the numbers:

Total = 60 + 100 + 160 + 750 + 180 + 160 + 600 + 125 + 150 + 200 + 0.04

        = 2485.04

Answer:

2485.04

Step-by-step explanation:

I just used a caculcalculator

Answer:

D is the correct answer. This charged appeared on a bill

Answer:

D  In step 3

Step-by-step explanation:

Given polynomial:  x² - 2x - 15 = 0

Step 1:  factor the polynomial ⇒ (x + 3)(x - 5) = 0

Step 2:  x + 3 = 0  and  x - 5 = 0

Step 3:  x = -3  and x = 5

x - 5 = 0

Add 5 to both sides:

⇒ x - 5 + 5 = 0 + 5

⇒ x = 5

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Length of rectangular prism = [tex]\sf\red{4m}[/tex]

[tex]\rightarrow[/tex] Width of rectangular prism = [tex]\sf\red{7m}[/tex]

[tex]\rightarrow[/tex] Height of rectangular prism = [tex]\sf\red{8.5m}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] We can find the volume of given rectangular prism by using the formula:

[tex]\sf\blue{Length × Width ×Height}[/tex]

So, let's begin:

[tex]\rightarrow[/tex] Volume of rectangular prism = [tex]\sf{Length × Width ×Height}[/tex](putting the value of length, width and height from the above given)

[tex]\rightarrow[/tex][tex]\sf{=\:4× 7 ×8.5}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:28×8.5}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:238m^3}[/tex]

Therefore, volume of the given rectangular prism = [tex]\sf\purple{238m^3.}[/tex]

______________________________

Hope it helps you:)

Answer:

DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM

Step-by-step explanation:

Benefits of Deposit Slips

Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.

Answer:

3780/90

what number close to 37 is divisible by 9 ? 36 !!

3600/90=40 or 3690/90=41

3780/90=42

this an underestimate because the compatible numbers 3600 and 3690 are less than 3780

yall be safe

Our estimate is 38. This estimate is an overestimate because we rounded up both numbers, so we expect the actual quotient to be slightly smaller than our estimate.

Compatible numbers are numbers that are simple to mentally work with and can be used to estimate or simplify a more complex calculation.

When performing addition, subtraction, multiplication, or division, for example, it is often helpful to choose numbers that are easy to manipulate in your head or by hand, such as multiples of 10, 100, or 1000.

To estimate the quotient of 3,780 divided by 90 using compatible numbers, we can round 3,780 to 3,800 (which is divisible by 100) and round 90 to 100. Then, we have:

3,800 ÷ 100 = 38

Thus, the estimate is 38. This estimate is an overestimation because we rounded both numbers, so we anticipate that the actual quotient will be slightly lower than our estimate.

For more details regarding Compatible numbers, visit:

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Step 1: Figure out how many years 2020 is after 1998

2020 is 22 years after 1998, therefore we should plug in 22 for x.

Step 2: Plug in known values

The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.

S - 1.5(22) = 5.1

Step 3: Solve

Now, all that's left to do is solve for S.

S - 1.5(22) = 5.1

S - 33 = 5.1

S = 38.1

Answer: 38.1 billion dollars

Hope this helps!

The correct answer would be: 6/5

The correct answer for this question is 30 students

Sure hope this helps you :)

Answer:

the answer is 1600