Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens. A) The equation is f(x)=3x^2−33/4x+3, and the parabola opens upward B)The equation is f(x)=−3x^2+9x+3, and the parabola opens downward C)The equation is f(x)=−4x^2−13x+3, and the parabola opens downward. D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

Answer:

A, B, and D

Step-by-step explanation:

A would be a correct answer since the book was 94 pages shorter than expected, so it was -94 pages of what was expected.

B would be a correct answer since Andrew no longer has that $94. His account would show a transaction of -$94.

C would not be a correct answer since the temperature was a positive number. For it to have been a correct answer, the temperature would've had to have been -94.

D would be a correct answer since Jennifer no longer has 94 apples. She now has a value of -94 apples compared to the value she had before she started selling them.

Hope this helps!

Solution:

g(-7) = a + 2

g(-7) = -7 + 2

g(-7) = -5

Best of Luck!

g(a) = a + 2

What's the answer of the equation when a = -7.

By putting the value, we get

g(a) = a + 2

g(-7) = -7 + 2

g(-7) = -5

Answer:

p=(9+\sqrt(353))/(34),(9-\sqrt(353))/(34)

Step-by-step explanation:

Provided in the question, total number of people that can be accommodated in the theatre are 471.

Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.

[tex]1) \: p + 254 < 471[/tex]

Or, they can be equal to the number of people.

[tex]2) \: p + 254 = 471[/tex]

Combining both the inequations, We get

[tex] \boxed{ p + 254 \leqslant 471}[/tex]

So, the correct option is Option D

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Answer:

(0, -28)

Step-by-step explanation:

Midpoint coordinates are equal to average of the value of endpoint coordinates.

One of End points is T (6,12), the other one is S (x, y) and the midpoint is (2, -8)

So midpoint formula applied to both coordinates:

Point S has coordinates of (0, -28)

Answer:

Find it out yourself dude

Step-by-step explanation:

Answer:

$16???

Step-by-step explanation:

Because each pizza costs $6 and each topping costs $2 each and they want 5 toppings so you want to multiply 5 X 2 and get 10 then add the 6 therefore the answer is 16!!..

Answer:

$16

Step-by-step explanation:

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Answer:

I believe 1 4/10 further

Answer:

Step-by-step explanation:

1.

[tex]n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5[/tex]

2.

[tex]-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12[/tex]

3.

[tex]\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14[/tex]

4.

[tex]\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30[/tex]

Answer:

distance = sqrt( 65 ) ~= 8.06

Step-by-step explanation:

To find the distance between two points, we can use the distance formula.

distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)

distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)

distance = sqrt( [-7]^2 + [4]^2)

distance = sqrt( 49 + 16 )

distance = sqrt( 65 ) ~= 8.06

Cheers.

Answer: d=8.06

Step-by-step explanation:

To this the distance between two points, you would need the distance formula.

Distance Formula: [tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}[/tex]

Since we have two given points, all we have to do is plug them in.

[tex]d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}[/tex]              [parentheses]

[tex]d=\sqrt{(7)^2+(-4 )^2}[/tex]                                [exponent]

[tex]d=\sqrt{49+16}[/tex]                                        [add]

[tex]d=\sqrt{65}[/tex]                                                [square root]

[tex]d=8.06[/tex]

Now we know that the distance is d=8.06.

Answer:

3.2

Step-by-step explanation:

7x + 12 + 9x = 7

16x + 12 = 7

       - 12    -12

16x = -5

16 divided by -5 is 3.2

x = 3.2

Answer:

A 0.6

Step-by-step explanation:

Answer:

angle AOC=85

also

angle AOC = angle AOB + Angle BOC

85= 2x+10+4x-15

or, 6x= 90

x=15

BOC=2x+10= 2*15+10=40

angle AOB = 4x-15=4*15-10=5=45

Answer:

43,51, 86

Step-by-step explanation:

The sum of the angles of a triangle are 180

x+ x+8+2x = 180

Combine like terms

4x+8 = 180

Subtract 8  from each side

4x+8-8= 180-8

4x= 172

Divide each side by 4

4x/4 = 172/4

x=43

x+8 = 43+8 = 51

2x = 43*2 = 86

I got you, bro!

Answer:

x = 43

The angle measures of the triangle, in order from least to greatest, are 43, 51, and 86.

Step-by-step explanation:

4x + 8 = 180

Subtract 8 from both sides.

4x = 172

Divide.

x = 43

Answer:

27 kg

Step-by-step explanation:

Step 1:

21 : 210 = x : 270

Step 2:

210x = 5,670

Answer:

x = 27

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

F(x) = y

When y= -2

x= -5

Answer:

(-1, -3/2)

Step-by-step explanation:

Answer:

2 hours

(50 $ + 8 $) x 2 = 116

116 > 114

Answer:

The coordinates of point B is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

Let the coordinates of B be ( x , y)

From the question the midpoint is ( 0 , 4) and A is (-7 , 5)

So we have

[tex](0 \: , \: 4) = ( \frac{ - 7 + x}{2} , \: \frac{5 + y}{2} )[/tex]

Next we compare the x and y coordinates of the midpoint to the x and y coordinates on the right hand side to find the missing coordinates

That's we equate them

So we have

[tex]0 = \frac{ - 7 + x}{2} \\ - 7 + x = 0 \\ \\ x = 7[/tex]

[tex]4 = \frac{5 + y}{2} \\ 8 = 5 + y \\ y = 8 - 5 \\ \\ y = 3[/tex]

So we have

x = 7 , y = 3

So the coordinates of point B is

Hope this helps you

Answer:

7,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok que bueno sigue tu sueño amiga

Answer:

137.814 hours

Step-by-step explanation:

We simply need to multiply the time by the multiplier given in order to find the time it took for the smaller group

123.6 hours is the time and 1.15 is the multiplier

123.6x1.115=137.814 hours

Answer:

Range: [1, 5]

Step-by-step explanation:

The range of a graph is all the y-values that are outputted by x-value inputs.

We see that our range spans from 1 to 5, and since they are closed dots, they are included in our range. Therefore, our range is [1, 5].

Answer:

The intersection is B

Step-by-step explanation:

It is B because every line meets up at the same spot which is B.

Please mark branliest if this helped you!

Answer:

true

Step-by-step explanation:

The given statement AB+BC=AC, then AB=BC​ is false for the line segment.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

If AC is the line segment and B is in between AC  somewhere then the given statement AB+BC=AC, then AB=BC​ is not necessarily true.

As the two diagrams below;

Diagram 01) →

Here B is the midpoint of  AC so AB = BC

Diagram 02) →

Here B is not the midpoint of AC so AB ≠ BC

Hence "The given statement AB+BC=AC, then AB=BC​ is false for the line segment".

For more about line segment,

https://brainly.com/question/25727583

#SPJ2

Answer:

10.44 units (nearest hundredth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]

Distance between F and G

[tex] = \sqrt{(3 - ( - 7))^{2} + (5 - 2)^{2} } \\ = \sqrt{ {(3 + 7)}^{2} + {3}^{2} } \\ = \sqrt{ {10}^{2} + 9 } \\ = \sqrt{109} \\ = 10.44 \: units \\ (nearest \: hundredth)[/tex]

Question is based upon our General knowledge in the field of IT and programming languages[tex].[/tex]

Let's see the choices:

1) It is true that Bill Gates founded teh Microsoft, but Guido Von Rossum is the founder of python. So, this is incorrect option.

2) Bjarne Stroustrup is the creater of C++ programming language, and also published the Annotated C++ reference manual. So, this is correct✓.

3) Paul Allen was the one who co-founded the Microsoft cooperation along with Bill Gates. So, this is also incorrect.

4) John McCathy invented or founded LISP, which came after FORTAN, So he isn't the founder of FORTAN. So, this is also Incorrect.

So, correct option is Option B

#CarryOnLearning

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Answer:

1.) 5^7     2.) 4^a+b     3.) a^c+d

Step-by-step explanation:

If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)

If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.