The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?

Answer: y = 3x - 6

Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.

Answer:a

Step-by-step explanation:

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

Answer:

B

Step-by-step explanation:

90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that

Answer:

B

Is going clock wise I dont really know how to explain it

Answer:

Thank you ☺️☺️

Answer:

1) All possible number tickets for group that spends $57: A, B, C, D

2) All possible number tickets for group that spends $95: B, C, E, F

3) Each ticket will cost at most $19

Step-by-step explanation:

We are told that one group spends $57 dollars while the other group spends $95.

Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket​ costs.

To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.

57: 1, 3, 19, 57

95: 1, 5, 19, 95

Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.

Thus,each ticket will cost at most $19

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

Total 32 games home and away games have been played.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

From the bar chart :

We can obtain the total number of goals scored :

Home goals (quarter 1 to quarter 4) :

= (9 + 6 + 8 + 7)

= 30

Away goals (quarter 1 to quarter 4) :

= (2 + 7 + 4 + 5)

= 18

Using the relation :

Mean goals scored = total goals scored / number of games played

Home games :

Mean goals = 2.5

Number of home games played = total goals scored / mean goals

= 30 / 2.5

= 22

Away games :

Mean goals = 1.8

Number of away games played = 18 / 1.8

= 10

Therefore, number of home and away games played in total = 22 + 10 = 32 games

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Answer:

ill help

Step-by-step explanation:

Answer:

195 or 15^2- 2(15)

Step-by-step explanation:

Answer:

0.52

Step-by-step explanation:

Divide.

Answer:

0.3333333333333333333333 it non terminating

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

Answer:

yea i know this but imma just give to ya short its A

Step-by-step explanation:

Answer:

2 -67.2

Step-by-step explanation:

-3.5 Times -3 = 10.5

10.5 Times -6.4 = -67.2

Answer:

2. -67.2

Step-by-step explanation:

(−3.5)×(−3)×(−6.4)=−67.2

I have done it before and I did the work.

y^3/4x

Step-by-step explanation:

here,

6x^2/5y *(y^3/4x)

3xy^2/10

Answer:

Step-by-step explanation:

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

Answer: x= 24

Step-by-step explanation: (5x-24)+(3x+24)=180 and when you solve this equation you get 24. Hopes this helps love u ❤️

Answer:

8p+25b

Step-by-step explanation:

Answer:

8p+25b

Step-by-step explanation:

You dont know how many of each he bought so you use the variables. so,  p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)

Answer:

59

Step-by-step explanation:   x=number of hours

150+7.50x=595

7.50x=595-150

7.50x/7.50=445/7.50

x=59

Answer:

1/4 +1 1/10_.25 + 1.20

Step-by-step explanation:

1/4 also known as a quarter, should easily be known as .25, and .20 should be equal to 1/10 since .20x10 equals 1. that one in the equation doesn't really make a difference. (it's kinda just there¯\_(ツ)_/¯) so technically you have your answer.

Answer:

1. A is congruent to C

2. Given

3. I think line ac is congruent to line ce, don't know the options

4. angle ABC is congruent to angle DCE

5. Possibly vertical angles

Answer: See explanation

Step-by-step explanation:

Price of sandwich = $6

Food tax = 5% of $6

= 0.05 × $6

= $0.3

Tip = 20% of $6

= 0.2 × $6

= $1.2

Total cost of meal:

= $6 + $0.3 + $1.2

= $7.5

Answer: 1: $0.30 2: $1.20 3: $7.50

Step-by-step explanation:

Step 1:

[tex]2 {x}^{2} - 5x - 12[/tex]

Step 2:

[tex]2 {x}^{2} - 8x + 3x - 12[/tex]

Step 3:

[tex]2x(x - 4) + 3(x - 4)[/tex]

Step 4:

[tex]\blue{(x - 4)(2x + 3)}[/tex]

Answer:

-5

Step-by-step explanation:

The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given funciton,h(x) = -3x - 2

For h(x) = 1

1 = -3x - 2

1 + 2 = -3x

3 = -3x

x = -1

Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".

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Answer:

14x +10y < 200

Step-by-step explanation:

The inequality that represents the given condition is: 14x + 10 y < 200.

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."

Given, the price per long sleeved t-shirt is $14.

The price per short sleeved t-shirt is $10.

The soccer team has sold less than $200 worth of both types of t-shirts.

Here, the number of long-sleeved t-shirts they have sold is 'x'.

The number of short-sleeved t-shirts they have sold is 'y'.

Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x

The total price of short sleeved t-shirt sold is = $10 × y = $10y

Therefore, the required inequality will be:

14x + 10 y < 200

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Answer:

if you're sating 200 tens(10), then it equals 2000

Step-by-step explanation:

because you'd multiply them, and 200 times 10 equals 2000.

and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000

Answer:

y=1 is the equation! :))

Step-by-step explanation:

Answer:

3000g

hope this helps

Answer:

The answer is C, hope that helps:)

Step-by-step explanation: