A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x + 1,000 represents this situation.

What is f(3), and what does it represent?


900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
900 square feet; , f, (3) represents the total number of square feet the construction crew has paved after 3 hours.

1,900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

Answers

Answer 1

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.


Related Questions

What’s the slope intercept form?
At first I thought it was y=-4/3x+7 but it’s not. Pls help!

Answers

Answer:

y = - [tex]\frac{5}{4}[/tex] x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-7}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - [tex]\frac{5}{4}[/tex] x + 7 ← equation of line

I do not know how to answer these questions, can someone explain what I would do to solve them? ​

Answers

Answer:

Step-by-step explanation:

Use the standard algorithm to solve 4,761 ÷ 23 = ________.

Answers

Answer: 207 Remainder 0

Step-by-step explanation:

three pounds of bananas cost $1.95. Which of the following is not true?

Answers

Answer:

put the examples on the test or assignment so i can answer it

Can someone plz help Me?

Answers

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation:

what is the answer, A, B, D, or E? Please Let me know????

Answers

Answer:

B and D

Step-by-step explanation:

B -> -1.4z multipled by 40 is - 56z, 0.7 multipled by 40 is 28, thus giving us - 56z + 28.

D -> When we expand (8z - 4)(-7) we will get -56z + 28 as 8z multipled by - 7 is - 56z (remember positive times negative equals negative) and - 4 multipled by - 7 is 28 (negative times negative equals positive)

how to do theoretical probability on calculator

Answers

Answer:

below!

Step-by-step explanation:

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense

Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are

Answers

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

A_________is a common multiple of two or more denominators

Answers

Answer:

(LCM)

Step-by-step explanation:

Least common multiple = LCM

HOPE THIS HELPS :)

‼️DUE TODAY‼️

(Question in the picture)

Answers

Answer:

I Don't know

Step-by-step explanation:

I don't know I don't know I don't know

The equation of a parabola is
Y=ax^2 +bx +c
Where c represents the y intercept
In the equation it represents the height

So option c is correct

Please mark as brainliest if it’s correct

at what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months​

Answers

Answer:

0.05 or 5%

Step-by-step explanation:

The formula for simple interest is as follows:

A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have

5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years

5610 = 4400(1+5.5r)

expand

5610 = 4400 + 24200r

subtract 4400 from both sides to isolate the variable and its coefficient

1210 = 24200r

divide both sides by 24200 to isolate the variable

r = 0.05 or 5% as 0.05 * 100 = 5

What is the LCD of 8/9 and 2/3

Answers

9 is the least common denominator
9 is the LCD of those two fractions

the set $s = \$ contains the first $50$ positive integers. after the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $s$?

Answers

Clearly, |S| = 50.

Count the multiples of 2 between 1 and 50:

⌊50/2⌋ = ⌊25⌋ = 25

(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)

Count the multiples of 3 between 1 and 50:

⌊50/3⌋ ≈ ⌊16.667⌋ = 16

Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:

⌊50/6⌋ ≈ ⌊8.333⌋ = 8

Then by the inclusion/exclusion principle, we remove from S

25 + 16 - 8 = 33

elements, so that the new set S contains 50 - 33 = 17 elements.

What is the slope

A. 2
B. 4
C. 5

Answers

Slope=2 I need more characters so here you go
Answer:The slope is 2.Step-by-step explanation:

We know the slope formula.

=> [tex]\frac{y_{2} -y_{1} }_{x_{2}-x_{1} } }[/tex]=> [tex]\frac{16-12}{7-5}[/tex]=> [tex]\frac{4}{2}[/tex]=> [tex]2[/tex]Conclusion:

Therefore, the slope is 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

. What is the fraction form of $0.25?

Answers

Answer:

1/4

Step-by-step explanation:

Since 0.25 is 1/4 of 1

Find the explicit formula for the n​th term of the following sequence where the first term is a1
{-6/7, 7/9, -8/11, 9/13, -10/15, ...}

Pls no links, I actually need help

Answers

The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.

The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.

The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.

Taking everything together, it follows that the n-th term in the sequence is

[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]

Factor completely.
121x^2 – 144

Answers

(11x+12) (11x-12) since it’s a difference of squares

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

Amy went to the store and bought 5 shirts that cost $10.59 each. She gave the cashier $60. How much change did she get back?


pls help and please show how you got it pls

Answers

Answer:

The answer is $7.05.

Hope it helps.

Step-by-step explanation:

Okay so Amy bought 5 shirts for $10.59 EACH.

So what we have to do is $10.59 x 5 which equals to $52.95. The final step is to take away $60.00 from $52.95. $60.00 - $52.59 = $7.05.

So Amy gets $7.05 change back.

Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?

Answers

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

Answer:

Max played the greater ratio.

Step-by-step explanation:

:)

400+5 please help me

Answers

Answer:405

Explanation 400+5=405

Answer:

the answer is defently 405

Step-by-step explanation:

so you have 400 and 5 and 400+5=405

PLEASE HELP!! find the value of x. attached image.

Answers

Answer:

x = 4

Step-by-step explanation:

    The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.

    In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

9x - 8 = 28 ( converse of isosceles triangle )

(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)

[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

Rewrite this problem combining like terms!!
2 m − 3 m + 4

Answers

i believe the answer is 4-m! hopefully it’s right, sorry if it’s not!

d20) A department store buys 200 shirts at
of $2,400 and sells them at a selling price of $20
each. Find the percent markup.
Pls answer now I need it pls

Answers

This is the answer you’re welcome

113 + 377 = 117 + _

Pls answer guys.

Answers

Answer:

373

Step-by-step explanation:

113+377=490

490-117=373

answer:

=117+373

Write the equation of the line that passes through the points (-1,3) and (-1,-9).

Answers

Answer:

The equation of the line is x=-1.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-9-3)/(-1-(-1))

m=-12/(-1+1)

m=-12/0

undefined.

Since the slope is undefined,

it follows that this is a vertical line with the equation x=-1.

Troy pays a one-time rental fee of $25 and $15 per day to rent a bicycle.
Write an expression that gives the amount Troy pays to rent
d days

Answers

Answer:

y = 15d + 25 or y = 15x + 25

The price of a pair of shoes increases from $54 to $68. What is the percent increase to the nearest percent? [The percent increase is ___%]​​

Answers

Answer:

25.93%

Step-by-step explanation:

Percent change formula is [tex]\frac{(V_2-V_1)}{|V_1|}[/tex]x 100

v2 = value 2

v1 = Value 1

now you substitute in.

[tex]\frac{68-54}{|54|}[/tex]x 100

[tex]\frac{14}{54}[/tex]x100

0.259259x100

= 25.9259% or 25.93%

please help me asap


ty :)

Answers

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b

b= 7+9

b= 16

y= 3x+16

Step-by-step explanation:

while the other answer is correct, here also the way as the hint suggests :

y - 7 = 3(x - -3) = 3(x + 3) = 3x + 9

y = 3x + 9 + 7 = 3x + 16

and there you have it : the same result just by using the point-slope form first.

The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?

Answers

Answer:

  15/61 ≈ 1/4

Step-by-step explanation:

The fraction is the area of Lake Huron divided by the total area.

  (6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61

This is approximately 15/60 = 1/4.

The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.

Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. What is the “half” amount?

Answers

The answer is 18 dollars. 2.25 x 12=36.00 or 36, 36/2 =18
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