Hugh drove on the highway at a constant rate. He traveled 204 miles in 3 hours. How far did hugh travel in 1 hour? At what rate was he traveling?

The quadratic equation that contains the three points is y = -x² + 3x + 40

A quadratic equation is in the form:

y = ax² + bx + c

At point (-4, 12):

12 = a(-4)² + b(-4) + c

16a - 4b + c = 12      (1)

At point (2, 42):

42 = a(2)² + b(2) + c

4a + 2b + c = 2      (2)

At point (3, 40):

40 = a(3)² + b(3) + c

9a + 3b + c = 40     (3)

Solving equation 1, 2, and 3 gives:

a = -1, b =3, c = 40

y = -x² + 3x + 40

Hence the quadratic equation is y = -x² + 3x + 40

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Answer:

The equation you would graph would be y=-4 +x  or y= x-4 (basically the same thing)

y=0 then x would equal 4

Step-by-step explanation:

y=-4+x             x-y=4

0=-4+x            -x    -x

+4 +4              -y= 4-x

4=x                /-1    /-1

                     y= x -4

Answer:

[tex]-8x^9[/tex]

Step-by-step explanation:

We can split up the exponent into multiple products: [tex](-2x^3)^3=(-2)^3*(x^3)^3[/tex].

We know that [tex](-2)^3=(-2)*(-2)*(-2)=-1*-1*-1*2*2*2=-1*8=-8[/tex].

We also know that [tex](x^3)^3=x^{3*3}=x^9[/tex].

So, our answer is [tex]\boxed{-8x^9}[/tex] and we're done!

Answer: C

Step-by-step explanation: You have to graph the 2 points and plug in each answer until the slope passes through

Answer:

74

Step-by-step explanation:

87-13=74

Answer:

Sydeny is 50 years old

Answer:

Your answer for when b = 1/2 is 2.

Step-by-step explanation:

4*1/2

Hope this helps!

Answer:

2

Step-by-step explanation:

4b ; b=1/2

4(1/2)

2

Answer:

look in explanation

Step-by-step explanation:

Seeing as most of your answers are wrong, I'll start from the beginning.

a rational number is a number that can be expressed as a fraction.

an integer is a  whole number.

an irrational number is a number that cannot be expressed as a fraction.

an integer is also always a rational number.

Using this, we can sort the values.

-77/11 can be simplified as -7, which is an integer.

the square root of 144 is 12, which is an integer.

0.25 is a decimal that can be expressed as a fraction, which makes it a rational number that is not an integer.

the square root of 20 is a value that cannot be expressed as a fraction, which makes it irrational.

17/4 is a fraction that is not a whole number, which makes it a rational number but not an integer.

finally, 2*the square root of 10 is irrational.

The cost of the labor per hour is $115.

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$749 = $59 +  cost of total hours worked

Cost of total hours worked = $749 - $59

Cost of total hours worked = $690.

In order to determine the cost per hour of labour, divide the total cost of total hours worked by the hours worked.

$690 / 6 = $115.

A similar question was answered here: https://brainly.com/question/20177461

Answer:

115.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

put x=0

(0+3)(-0-2)=y

y=-6

Answer:

3:05

Step-by-step explanation:

Answer: he got home at 3:05 pm!

Step-by-step explanation:

working backwards from the time stamp 5:56pm, we can just subtract the time he spent gaming and doing chores:

5:56

-0:54 mins games

-1:00 cleaning

-0:57 for homework= the time he got home, but lets make it easier!

54+57=111, in total, that's 1:51 time wise, so that simplifies it a little, be we can simplify it further, by adding the hour spent cleaning.

1:51 on homework n games + 1:00 on cleaning = 2:51 spent on home stuff in general

so lets go back to our subtraction:

5:56 pm -time stamp after all his chores

-2:51 spent on home stuff

= 3:05 pm the time he left school

Answer:  

The answer to 52 divided by 91 calculated using Long Division is:

0

52 Remainder

Step-by-step explanation:

If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

In an auditorium, a charity show is conducted in order to raise at least $3,000.

The auditorium can accommodate up to 180 spectators.

Tickets cost $12 for students and $20 for adults.

Let x be the number of students and y be the number of adults. Then we have

x + y = 180

12x + 20y ≥ 3000

By solving, equations 1 and 2. Then we have

x = 75 and y = 105

If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.

The graph is given below.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Answer:

Step-by-step explanation:

A function is one-to-one if it passes the horizontal line test.  This is the case if a horizontal line intersects the graph in only one place.  

The graph of f(x) = x^2 - 5 is that of a parabola that opens upward.  There are several possibilities here:

1.  The horizontal line intersects the parabolic graph twice on the interval (-infinity,+infinity).  Therefore this function is not one-to-one on this interval

(-infinity,+infinity).

2. If we define the domain as [0,+infinity), a horizontal line will intersect this parabolic graph only once.  Therefore this function is one-to-one on [0,+infinity).

Answer:

6.7638 × 10^10

Step-by-step explanation:

Answer:

study lol

Step-by-step explanation:

watch math videos and don't be afraid to ask your teacher questions it really does help.

Answer:

25v-5y+30

Step-by-step explanation:

-5 times -5 is +25, then you just add on the v so boom 25v

-5 times y, pretend there is an invisible 1 infront of the y, 1y times -5 is -5y

-5 times -6, two negative equal a positive and 5 times 6 is 30, so -5 times -6 is also 30

One of the questions you asked were:

Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.

Answer: V=a^3 or V ~ 30.96

[tex]\mathsf{(4 \times 10^4)(2\times 10^3)}\\\\\mathsf{= (4\times 10\times10\times10\times 10)(2\times 10\times 10\times 10)}\\\\\mathsf{= (4\times 100\times100)(2\times 100\times 10)}\\\\\mathsf{= (4\times \bold{10,000})(2\times \bf {1,000)}}\\\\\mathsf{= \bf (40,000)(2,000)}\\\\\mathsf{= 80,000,000}\\\\\mathsf{\approx 8\times 10^7}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{8\times 10^7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

n = - 12

Step-by-step explanation:

n + 6 = 2n/4

4 (n+6) = 2n

4n + 24 = 2n

4n - 2n = - 24

2n = -24

n = - 24/2

n = - 12

Answer:

63.7

Step-by-step explanation:

If you setup an equation it is this. Make sure to change 65% to a decimal by moving the decimal two places left.

[tex]n = .65 \times 98[/tex]

[tex]n = 63.7[/tex]

Answer: yes

Step-by-step explanation:

Answer:

x over y , but you'll have to do y over x to get the answer .

Answer:

[tex](fog)(x) = - {x}^{2} + x + 9[/tex]

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9[/tex]

I hope I helped you^_^

Answer:

4.53

Step-by-step explanation:

hope you get it right

Answer:

27

Step-by-step explanation:

3 numbers=30x3=90

third number=90-28-35=27

Hope this helps! Thanks.

Answer:

12) Domain: (-4, 1] Range: [-4, 0]

13) Domain: (-infinity, 1] Range: [0, infinity)

Function decreases from x = negative infinity to 0. (I'm assuming this is what the question is asking for!)

Minimum of y = 0 at x = 0

Answer:

Idiosyncratic apricot

Answer:

280 men; 80 women.

Step-by-step explanation:

this task can be solved used system of two equation (note, it is not the only and shortest way):

1) if number of men is 'm', women is 'w' and ratio is 7:2, then it is possible to write the first equation: m/w=7/2;

if together there are 360, then it is possible to write the second equation of the system: m+w=360.

2) after item 1 it is possible to make up and solve the system:

[tex]\left \{ {{m/w=7/2} \atop {m+w=360}} \right. \ => \ \left \{ {{7w=2m} \atop {m+w=360}} \right. \ => \ \left \{ {{m=280} \atop {w=80}} \right.[/tex]

Answer:

Step-by-step explanation:

minus 12 on both sides

updated equation: x/3=-10

multiply 3 on both sides

updated equation

x = -30