Claire and Richard are both artists. Claire uses the polynomial 50x^2+250 to decide how much to charge.Richard uses the polynomial 49x^2+350 to charge how much to charge for his painting.In each polynomial x is the height of the paintings feet. To the nearest tenth what height will both Claire and Richard charge for the same amount for a painting?

Answers

Answer 1

Answer:

The height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.

Step-by-step explanation:

The polynomial expression representing the charge for Claire's paintings is:

C = 50x² + 250

The polynomial expression representing the charge for Richard's paintings is:

R = 49x² + 350

Here x represents the height of the paintings feet.

Now compute the value of x such that both Claire and Richard charge the same amount as follows:

C = R

50x² + 250 = 49x² + 350

50x² - 49x² = 350 - 250

x² = 100

x = 100

Thus, the height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.


Related Questions

If f(x) = x3 – 1 and g(x) = 2x - 1, which choice is equivalent to g(f(x))?
A)
x3 - 3
B)
2x3 - 3
)
2x3 - 2
D)
223 - 1

Answers

The equivalent function of g(f(x)) for the given function  is 2x³ - 3.

Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

We have been given that

f(x) = x3 – 1

g(x) = 2x - 1

and find out g(f(x)) =?

The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.

g(f(x)) = 2(f(x))- 1

Put the value of f(x) in the equation

g(f(x)) = 2( x³ - 1) -1

g(f(x)) = 2 x³ - 2 -1

g(f(x)) = 2 x³ - 3

Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).

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Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?

Answers

Multiple both the numbers so 1.48*245
And 1.48*3110 and then add the numbers you got together 4,965.40 make sure those are the numbers for pounds

The total cost of 245 pounds of squash and 3110 pounds of zucchini is  $4965.4.

What is Unitary method?

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The unit rate for squash and zucchini is $1.48 per pound.

In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,

The cost for 245 pounds of squash is 245 × 1.48 = $362.6

And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.

Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.

Hence, the total cost of vegetables at the given rate is $4965.4.

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In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step? 1 minus x + 2 + 2 x = 10 x minus 5 minus x 1 minus x minus 2 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 25 minus x 1 minus x minus 1 + 2 x = 10 x minus 5 minus x

Answers

Answer:

1-x-2+2x = 10x-25-x

Step-by-step explanation:

The given equation is as follows :

1-(x+2)+2x=5(2x-5)-x

We need to solve the above equation.

Firstly opening bracket off LHS and applying distributive property at RHS.

1-x-2+2x=5(2x)-5(5)-x    (Distributive property :a(b+c) = ab+ac)

1-x-2+2x = 10x-25-x

So, the correct option is (B) i.e. 1 minus x minus 2 + 2 x = 10 x minus 25 minus x.

Answer:

It's b

Step-by-step explanation:

I got it right on edge

Factor out the greatest common factor. 21x2 - 6x 21x2 - 6x =​

Answers

Answer:

21x²-6x=x(21x-6)...

If angle B measure 135 degrees find measure of Angle Q
A.180
B.45
C.60
D.135

Answers

Answer:

D. 135

here are some extra words for fun (and to fill the necessary 20 characters)

Would definitely be “d. 135” , because those two angles are in the same spot if you look at it so they equal eachother , b=Q :)

(Help!!!!!!!!) Elena is building a fence for a garden. Using the drawing of her fence below, how many feet of fencing does she need to purchase? Each square unit on the graph represents a square foot. Round to the nearest tenth if necessary.
(sorry for the qualtiy)
A.20.7 feet
B.19.7 feet
C.28.5 feet
D.30.7 feet
E.36.5 feet

Answers

Answer:it is d because on the chart it is 5 and 2 and your round

Step-by-step explanation:7 times 5 28 equal 30 hope helped correct if wrong

Below are two parallel line intersecting them

Answers

Answer:

x = 53°

Step-by-step explanation:

alternate exterior angles are equal

Answer:

Step-by-step explanation:

Two lines are parallel.

x = 53  

Alternate exterior angles are equal

MM can someone answer this riddle


Animal riddle
In reply to an inquiry about the animals on his farm, the farmer says: “I only ever keep sheep, goats, and horses. In fact, at the moment they are all sheep bar three, all goats bar four, and all horses bar five.” How many does he have of each animal?

Answers


Here’s the answer & how to find it! So let us suppose,

X : the no. of sheep he owns

Y : the no. of goats he owns

Z : the no. of horses he owns

This means,

X + Y + Z = Total no. of animals he owns

He says that “They are all sheep bar three.” Which means, the no. of animals other than sheep is 3, i.e.

Y + Z = 3

Similarly,

X + Z = 4 and X + Y = 5

On adding all the three equations, we get

2 ( X + Y + Z ) = 12

This implies,

X + Y + Z = 6

This means that the farmers has a total of 6 animals. And on further solving the equations we find that the he has 3 sheep, 2 goats and a horse.

y=-7x+6 in standard form. I’ll give brainliest. Hurry pls

Answers

Answer:

7x+y=6

Step-by-step explanation:

trust

If a = 5x + 8 and d = 62, find the value of x.​

Answers

Answer:

first if a=d that 62=5x+8

62-8=5x+8-8 ...substract by same number

54=5x ....simplifying

54/5=5x/5 ....divided by two equal part

10.8=x

The lengths of the sides of a quadrilateral are 4 consecutive even integers.



The perimeter of the quadrilateral is 20 inches.



What is the length of the longest side?

Answers

Answer: 8 inches

Step-by-step explanation:

A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.

We then equate the side to the perimeter. This will be:

a + a+2 + a+4 + a+6 = 20

4a + 12 = 20

4a = 20 - 12

4a = 8

a = 8/4

a = 2 inches

The length of the longest side will be:

= a + 6

= 2 + 6

= 8 inches

Find the mistake made in the steps to solve the equation below

Answers

Answer:

C. Step 3 is incorrect and should be x=10/8

Answer:

c. step 3 is incorrect and should be x=10/8

write 38/11 as a decimal. use a bar to indicate which digit or group of digits repeat

Answers

Answer:

3.454545...   put the bar over the first 45 after the decimal to show that it repeats

Step-by-step explanation:

Have a good day:)

A fraction is a way to describe a part of a whole. The fraction 38/11 can be written as [tex]3.\overline{45}[/tex].

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.


Given the fraction is 38/11, therefore, if we perform division for the given fraction we will get,

[tex]\dfrac{38}{11} = 3.45454545.....[/tex]

The bar is kept on the numbers that are repeating, therefore, the bar should be kept over the digits 0.45.

Hence, the fraction 38/11 can be written as [tex]3.\overline{45}[/tex].

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Helps me solve this problem please

Answers

Answer:

6

Step-by-step explanation:

2x - 3x + 20 + 5x - 40 = 4       combine like terms

(2x - 3x + 5x) + (20 - 40) = 4

4x - 20 = 4      add 20 to both sides

4x = 24     divide both sides by 4

x = 6

Simplify 6.9y+2.4y please help me

Answers

Answer:

6.9y+2.4y

= 9.3y

Hope it helps u,

pls put thanks and pls mark as the brainliest

Graph y > 2x - 3 , Is (3 , -1) a possible solution to the inequality graphed above?

Answers

Answer:

No it cant

Step-by-step explanation:

(3,-1) is not a possible solution for the equation y > 2x-3

The points that touch the x and y intercept are (1.5,0) and (0,-3)

Richard and Teo have a combined age of 41. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)

Answers

Richard = R & Teo = T

Richard & Teo are combined 41 it means R + T = 41

R = 8 + 2T

R + T = 41 #1

R = 8 + 2T #2

replace 2 in 1

8 + 2T + T = 41

8 + 3T = 41

3T = 41 -8 = 33

T = 11

R = 8 + 2*11 = 30

result = richard is 30 & teo is 11 years old.

2 times of Teo is 22

and 8 years older it means + 8

= 30


Which equation shows the relationship between the
number of poles ordered, n, and the total cost, c?
A. c = 3n + 120
B. c = 4n + 180
C. c = 20n + 60
D. c = 40n

(NEED HELP ITS DUE TODAY)

Answers

honestly i think it’s (A.)

What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?

Answers

Answer:

y = -1/2x - 3

Step-by-step explanation:

A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?

The rate of descent was ____ feet per minute.


Please help ASAP my assignment is due in less then an hour.​

Answers

Answer

The rate of descent was 59.5 feet per minute

Step-by-step explanation:

angle 1 and angle 2 are supplementary. m angle1 = 3x - 4 and m angle2 = 8x - 14. Find the measure of each angle.

Answers

Answer:

50° and 130°

Step-by-step explanation:

Angle1 and angle2 are supplementary. So, sum of angle1 and angle2 is 180°

3x-4+8x-14=180°

11x-18=180°

11x=198°

x=18°

Angle1 = 3*18 -4 = 50°

Angle2 = 8*18 -14= 130°


Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)

Answers

Answer:

15°

Step-by-step explanation:

5x°+4x°+3x°=180°

12x°=180°

X=(180/12)°

X=15°

Solve for x and y, will mark brainliest please help!

Answers

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9

help graphs are not my favorite​

Answers

Answer:

d

Step-by-step explanation:

Anyone know the answer ?

Answers

Its A i think. Like ya cut g

Answer:

b

Step-by-step explanation:

hope this helps

A. Corresponding angles

B.Same side interior angles

C. Alternate exterior angles

D. alternate interior angles

Answers

Answer:

Alternate exterior angles

Solve for x:
(X+5)^1/2 = (5-2x)^1/4

Answers

Answer:

X = Negative 2 (-2)

10) Choose the correct answer.
Simple Inequalities:



please help

Answers

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?

Answers

If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.

162 / 10 is approximately 16.

16 × 2 = 32

32 + 77 = 109 career home runs

Using the slope intercept relation, the required equation and the number of home runs at season end would be ;

y = 0.2x + 77109

Recall :

y = bx + c

c = initial number of hime runs = 77b = slope y = total career home runs x = number of games played

Slope, b = 2 home runs per 10 games = 2/10 = 0.2

The expression can be represented thus:

y = 0.2x + 77

Number of home runs at the end of the season :

x = 162

y = 0.2(162) + 77

y = 32.4 + 77

y = 109.4

y = 109

Hence, Total number of hime runs would be 109.

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170.04 in standard form is?

Answers

Answer:  0

Step-by-step explanation:

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