Describe the Graph of y= x-2

The maximum height of the water balloon : 450 m

Quadratic function is a function that has the term x²  

The quadratic function forms a parabolic curve  

The general formula is  

f (x) = ax² + bx + c  

where a, b, and c are real numbers and a ≠ 0.  

The parabolic curve can be opened up or down determined from the value of a. If a is positive, the parabolic curve opens up and has a minimum value. If a is negative, the parabolic curve opens down and has a maximum value  

So the maximum is if a <0 and the minimum if a> 0.  

The formula for finding the coordinates of the maximum and minimum points of the quadratic function is the same.  

The maximum / minimum point of the quadratic function is  

[tex]\rm -\dfrac{b}{2a},-\dfrac{D}{4a}[/tex]

Where  

D = b²-4ac  

The function h (t) = -16x²+160x+50

so the value of a <0, then it has a maximum value  

Because we are looking for maximum height, then we find the value of the y coordinate, with the formula  

[tex]\rm -\dfrac{D}{4a}[/tex]

Questions we might add :

What was the maximum height of the water balloon after it was thrown?

We can also use the first derivative of the above function to find the maximum value

[tex]\tt h'=0=-32x+160\\\\-32x=-160\\\\x=5[/tex]

input to function :

[tex]\tt h=-16x^2+160x+50\\\\h=-16(5^2)+160(5)+50\\\\h=-400+800+50=\boxed{\bold{450~m}}[/tex]

Answer: A. -1

Explanation: 4-5/5-4= -1/1 = -1

Answer:

6 to 8

Step-by-step explanation:

3 and 8 multiplied by two will give an equivalent ratio

The ratio shows how many times one value is contained in another value.

The ratios that are equivalent to 3 to 8 are:

9/24, 12/32, and 15/40.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

3:8

= 3/8

We can have many ratios that is equivalent to 3:8

9/24 = (3 x 3) / (3 x 8) = 3/8

12/32 = (4 x 3) / (4 x 8) = 3/8

15/40 = (5 x 3) / (5 x 8) = 3/8

Thus,

The ratios that are equivalent to 3 to 8 are:

9/24, 12/32, and 15/40.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

slope isn't constant, but still increasing

Answer:

x would equal 5.

Answer:

My guess would have to be d

Step-by-step explanation:

How many cups of flour are needed to make 60 cookies.

[tex]60 \times 3 \div 24[/tex]

[tex] \frac{5 \times 3}{2} [/tex]

[tex] = \frac{15}{2} [/tex]

[tex] = 7 \frac{1}{2} or[/tex] [tex]\boxed{\sf{7.5}}[/tex]

[tex]\large\boxed{\sf{Answer= Option\: C}}[/tex]

Therefore, 7.5 cups of flour are required to make 60 cookies.

Answer:

5-2x

i took this in my algebra class

Answer:

Here is the graph for y = 4x-9

Step-by-step explanation:

Keep in mind this graph goes by intervals of 5 in order to picture the whole graph

9514 1404 393

Answer:

  A.  x = 28

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x.

  [tex]5x=140\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\\boxed{x=28}[/tex]

Answer:

[tex] \huge{ \boxed{ \tt{ \frac{4}{7} }}}[/tex]

Step-by-step explanation:

Let the points be A and B

[tex] \sf{A(2 \: , - 1) \longrightarrow \: (x1 \:, y1)}[/tex]

[tex] \sf{B(9 \: ,3 \: ) \longrightarrow \: (x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: slope}}: [/tex]

[tex] \boxed{ \rm{Slope \: ( \: m \: ) \: = \frac{y2 - y1}{x2 - x1} }}[/tex]

[tex] \rm{Slope = \frac{3 - ( - 1)}{9 - 2} }[/tex]

[tex] \rm{Slope = \frac{3 + 1}{9 - 2}} [/tex]

[tex] \rm{Slope = \boxed{ \rm \frac{4}{7} }}[/tex]

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

6 is b, 7 is c

Step-by-step explanation:

Answer:

#6 wants you to find out what answer from the 4 expressions gives you the least or smallest number. For #7, you need to follow PEMDAS in order to get the right answer.

Step-by-step explanation:

#6, the answers you get are 8, -9, -3, and 9. You need to choose the smallest number. Negative numbers are smaller than positive numbers, so you can immediately eliminate 8 and 9. You have to be careful when comparing negative numbers because the larger negative number is actually smaller than the smaller negative number since it is further away from the zero. So, negative -9 would be smaller than -3 in this case.

#7, I would divide the -720/12 first. This results in -60. Then, divide the -60 by -10. This gives you an answer of positive 6.

ANSWERS:

#6 : B

#7 : C

Answer:

a

Step-by-step explanation:

the answer is 60 because it is the lcm

Answer:

15$ would be earned

Step-by-step explanation:

This is because 2.5% of 300 is 7.5 than multiply it by 2 and you get 15.

Answer:

There are 32 students.

Step-by-step explanation:

If there are six 8-slice pizzas, that means that there is 48 slices total. If each student ate 1 1/2 slices, you can divide 48 and 1.5, and you will get 32. That is the number of students in the class. Hope this helps!

Answer:

16.5

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:40ft/second

Step-by-step explanation:

Divide 160ft by 4sec to find the unit rate.

Answer:

40

Step-by-step explanation:

You would divide 160 by 4 to get the number of feet dropped in one second. 160 divided by 4 is 40

Hope this helps! Good luck :)

Answer:

yes, (1,6) is a solution to the inequality y<4x+2.

Step-by-step explanation:

Looking at the equation we can see that the slope is 4 and the y intercept is 2.

Now we will use the slope that is comprised of the rise over the run which is [tex]\frac{rise}{run}[/tex]

The slope is 4 this means that [tex]\frac{rise}{run}[/tex] = [tex]\frac{4}{1}[/tex] and this shows us that the rise is 4 and the run is 1, so starting at (0,2) you go up 4 and over 1 so our next coordinate would be (1,6)

so the answer is yes, (1,6) is a solution to the inequality y<4x+2.

Hope this helps!

Answer:

Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size

Step-by-step explanation:

Two angles are adjacent when they have a common side, a common vertex, and don't overlap.

The image shows the following angles are adjacent:

YVZ and YVX

YVZ and YVW

YVX and XVW

Furthermore, two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

The first, fourth, and fifth options are true as shown above, which discards as true the second option.

The only probable false option is that XVW and YVX are the same size. They certainly could be, but we have to evidence of that, thus this option is considered false.

Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size

Answer:

Graph using a table of values.

−2║−7/3

−1║−5/3

 0║ −1

  1║−1/3

 2║1/3

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (32,0)

y-intercept(s): (0,−1)

Step-by-step explanation:

F(x)=2/3x-1

Answer:

Graph using a table of values.

x         y

−2║−7/3

−1║−5/3

0║ −1

 1║−1/3

2║1/3

Step-by-step explanation:

Answer:

C. -2/3 is the answer hope this helps

Answer:

D. 112°

General Formulas and Concepts:

A line is always 180°.

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Set up equation

m∠ABD + m∠DBC = m∠ABC

(3x + 10) + (2x) = 180°

Step 2: Solve for x

Step 3: Find m∠ABD

m∠ABD = 3x + 10

Answer:

I think the answer is 27

Answer:

27

Step-by-step explanation:

well use PEMDAS

so the answer should be 27

Answer:

Divide 17 by 20.

Step-by-step explanation:

Answer is 0.85.

Answer:

Step-by-step explanation:

[tex]\frac{17}{20} \\\\[/tex]

Through long division

[tex]\begin{matrix}\space\space\space\space\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 20\overline{|\smallspace17}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\[/tex]

Answer:

The equation is y = 2/3x - 1

Step-by-step explanation:

To build the equation, we know the slope is -2/3, so that is done for us already. Now we just need the y-intercept, which is -1, which is the only way to get it to cross the point (-9, 5). So, the equation would be y = 2/3x - 1, while still meeting all of the qualifications. I hope this helps, and I hope it's not right, but I do not think it is.

Answer:

we need more info

Step-by-step explanation:

We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.

Answer:

x = 3/7

Step-by-step explanation:

Red paint : White paint = 3 cups : 7 cups

How many cups of red paint should be added to 1 cup of white paint

Red paint : White paint = x cups : 1 cup

Equate the ratios

3 cups : 7 cups = x cups : 1 cup

3 / 7 = x / 1

Cross product

3 * 1 = 7 * x

3 = 7x

Divide both sides by 7

x = 3 / 7

Number of cups of cups of red paint that should be added to 1 cup of white paint is 3/7

I did this by representing the unknown number of cups of red paint with x and equating the two ratios