Change to vertex form
2x²16x+33

Answers

Answer 1

[tex]y=2x^2+16x+33\\\\y=2x^2+16x+32+1\\\\y=2(x^2+8x+16)+1\\\\y=2(x+4)^2+1\\\\or\\\\y=2x^2-16x+33\\\\y=2x^2-16x+32+1\\\\y=2(x^2-8x+16)+1\\\\y=2(x-4)^2+1[/tex]


Related Questions

Graph the image of square KLMN after a translation 6 units left and 4 units up.

Answers

The coordinates of the image of the square KLMN are:

K = (0, -1)

L = (2, -1)

M = (2, 1)

N = (0, 1)

The graph of the image is given below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the square KLMN are:

K = (6, -5)

L = (8, -5)

M = (8, -3)

N = (6, -3)

Now,

Translation of 6 units left and 4 units up.

This means,

K = (6 - 6, -5 + 4) = (0, -1)

L = (8 - 6, -5 + 4) = (2, -1)

M = (8 - 6, -3 + 4) = (2, 1)

N = (6 - 6, -3 + 4) = (0, 1)

Thus,

The image of the square KLMN will be on the following coordinates.

K = (0, -1)

L = (2, -1)

M = (2, 1)

N = (0, 1)

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Clare Lee is paid a basic wage of $8.00per hour for a 4O-hour week and $9.60 per hour for overtime work. Last week Clare worked 48 hours. What was her total wage for the week

Answers

396.80 bc 40 times 8 and since she worked over time 8 times 9.60 so add those up and you get 396.80 as her total wage

passes through (6,6) and (-2,2)

Answers

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!

Hello. Need some help: (put all answers into one comment)

1. If you add 5 to me and then divide by 9, you get 3. what number am I?

2. Equation: 21 ÷ 7 = 3. Write a related multiplication sentence.

3. During Their football season, the Kickerton Kangaroos had a combined total of 16 fumbles. each of the 8 players had the same amount of fumbles. how many fumbles did each player have?

4. If you multiply me by 7, then subtract 2, and then divide by 6, you get 9. what number am I?

Answers

Answer:

1. 22

2. 7*3=21

3. 2

4. 8

Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)

1. Using algebra I put the missing variable as x.

"add 5 to me" is x+5.

"divide by 9, you get 3"

[tex]\frac{x+5}{9}[/tex] = 3

Begin solving by multiplying 9 to the 3 on the other side

x+5 = 27

Subtract 5 to get x by itself

x = 22

2. An equivalent multiplication sentence can be found using algebra.  

21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]

Using algebra we know if we multiply 7 onto both sides we end up with

7*3=21

3.

Combined total of 16 fumbles

8 players

Same amount of fumbles

How many fumbles per player?

I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.

4. Algebra

[tex]\frac{x * 7 - 2}{6} =9[/tex]

First is multiplication: x*7 = 7x

[tex]\frac{7x - 2}{6} =9[/tex]

Then division: Multiply the 6 over because we don't like fractions

[tex]{7x - 2} = 54[/tex]

Next we add the 2 over

[tex]{7x } = 56[/tex]

Then divide by 7 to solve for x

x=8

1- should be 22, 22+5•27/3=9

please help! you will get brainliest

Answers

Answer:

the answer is 1.33333333333

The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?

Answers

Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

What is the area of circle?

The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.

Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2

By substituting π = 22/7 we get:

154 = (22/7)r^2

Solving for r, we get:

r = sqrt(154*7/22)

The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

By substituting the value of r we got before, we get:

C = 2πr = 2*(22/7)sqrt(1547/22)

To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:

C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches

Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

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Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.

Answers

Answer: 105

Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!

can somebody quickly answer this?
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?

Answers

Answer:10

Step-by-step explanation:

got the same question

Find the new amount.
I had 425 baseball cards and I sold 20% of them.
How many do I have left?


Answers

Answer:

425-(425×0.2)

425-85

340

Answer:

340 baseball cards

Step-by-step explanation:

You sold 20% of 420, therefore,

425 - 20% * 425 = 340

You have 340 baseball cards left.

Thenks and mark me brainliest :)

Can u sovle 32^3/5 for me please

Answers

Answer:

6553.6

Step-by-step explanation:

32^3 = 32 x 32 x 32 = 32768

32768 / 5 = 6553.6

Answer:

6,553.6

Step-by-step explanation:

32^3/5=6,553.6

Hope this helped!!

Bella was here :)

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 20°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then

? = [tex]cos^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 20° ( to the nearest degree )

Why do chairs have legs?

Answers

Answer:

cuz they are chairs

Step-by-step explanation:

Answer:

Chairs have legs so we would not fall.

Step-by-step explanation:

z+9 < 24
solve for z
pls help

Answers

Answer:

z < 15

Step-by-step explanation:

z + 9 < 24

z + 9 - 9 < 24 - 9

z < 15

Answer:

z < 15

Step-by-step explanation:

To solve for z, you need to isolate it on one side of the equal sign, or in this case, the < sign.

If you subtract 9 from the left side of the equation, z will be alone. But whatever you do to one side you have to do to the other. So subtract 9 from 24 as well and you get z < 15

Which statement best describes the function?

A. The function is negative when x<0

B.the function is negative when x<0 and when x>0

C. The function is never negative

D. The function is negative when x>0

Answers

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

What is function?

Each x value in the domain has one but only one y value

range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.

Here,

It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.

The graph is positive if it is located above the x-axis.

A negative graph is one that is located below the x-axis.

The graph of the function in this issue is shown by the red line, and:

The function is negative for x values less than 0 since it is below the x-axis.

Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.

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Decide if the following biconditional statement
is true or false:
An angle is a right angle if and only if the angle
measures 90 degrees.
True
False

Answers

True
Explanation: right angles are 90º

Amanda increased the amount of protein she eats every day from 50 g to 54 g. By what percentage did Amanda increase the amount of protein she eats?

Answers

Answer:Amanda increased the amount of protein she eats by 8%

step-by-step explanation:

Initial amount of protein consumed == 50g

Increase in the amount of protein consumed the next day=54 g-50 g =4g

Percentage increase in the amount of protein she eats as the day goes by = Increase/ initial amount consumed x 100

=4/  50 x 100

=8%

For the function Y= X +4 what is the output value if three is the input value

Answers

Answer: 7

Step-by-step explanation:

1. You need to know that the input value means the x-value, which means x = 3.

2. Input 3 in the function

3. Solve 3+4

4. 3+4 = 7

Answer:

put y=4 then four comes with- and 4-3=2

What is a 3 variable equation called?

Answers

Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

what is linear equation ?

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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PLS HELP ME

Answers

Step-by-step explanation:

I'm not sure what has infinite x-intercepts

What is the solution to the system of equations 3x 2y 7 and Y 3x 11?

Answers

The solution of the given system of equations is x = -7/3 and y = 7.

The given system of equations is given as,

3x + 2y = 7

y = 3x + 11

To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.

3x + 2y = 7

y = 3x + 11

⇒ 3x + 2y - y = 7 - 11

⇒ 3x + 2y - 3x - 11 = -4

⇒ 2y - 11 = -4

⇒ 2y = -4 + 11

⇒ 2y = 7

Now, substitute the value of y in the first equation to find the value of x.

3x + 2(7) = 7

⇒ 3x + 14 = 7

⇒ 3x = 7 - 14

⇒ 3x = -7

⇒ x = -7/3

Therefore, the solution of the given system of equations is x = -7/3 and y = 7.

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13. The number of pictures your printer
can print are shown in the table. Find
the rate in pictures per minute.
Minutes 2 4 6
8
Pictures 16 32 48 64
15.
16

Answers

Answer: The table shows the number of pictures that a printer can print at different intervals of time (measured in minutes). To find the rate in pictures per minute, we need to divide the number of pictures printed by the number of minutes it took to print them.

For example, at 2 minutes the printer printed 16 pictures. The rate of pictures printed per minute is 16 pictures / 2 minutes = 8 pictures/minute.

Similarly, at 4 minutes the printer printed 32 pictures. The rate of pictures printed per minute is 32 pictures / 4 minutes = 8 pictures/minute

And, at 6 minutes the printer printed 48 pictures. The rate of pictures printed per minute is 48 pictures / 6 minutes = 8 pictures/minute.

And, at 8 minutes the printer printed 64 pictures. The rate of pictures printed per minute is 64 pictures / 8 minutes = 8 pictures/minute.

From this it can be seen that the printer has a constant rate of 8 pictures per minute, independent of the number of minutes, it is producing 8 pictures/min.

The value 15 is not related to the table, so it's not the rate, and 16 is not the rate either, it is the number of pictures printed at 8 minutes.

Step-by-step explanation:

At the book sale, all books cost less than $5. What is the most expensive a book could be? Write an inequality to represent the costs of books at the sale.

Answers

Answer:

x<5

Step-by-step explanation:

mark me brainliest

All book are LESS THAN 5 dollars. Therefore all prices (x) have to be less that 5 hence x<5

Answer:

The most expensive a book could be is $4.99

The inequality to represent the costs of books at the sale is c < 5

Josh exercises no less than 40 minutes per day.
Use t to represent Josh's amount of exercise (in minutes per day).

Answers

Answer

x ≥ 40

Step-by-step explanation:

Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.

subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)

Answers

Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

Step-by-step explanation:

Given

Subtract the expression

[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

Trei stilouri și patru creioane costă 35 lei, iar cinci stilouri și două creioane costă 49 lei. Ce rest va primi Maria de la 100 lei , dacă va cumpăra 4 stilouri și 5 creioane?

Answers

Answer:

english?

Step-by-step explanation:

The cost for bowling includes $4.00 for shoes and $4.75 for each
game bowled. Which equation represents the amount, in dollars, y,
for x games bowled?

Answers

Answer:

y = 4.75x + 4

Step-by-step explanation:

it would be $4.75 for each game and you would only pay for shows once

The equation that represents the amount, in dollars, y,

for x games bowled is y = 4.00 + 4.75x

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The cost for bowling includes a fixed cost of $4.00 for shoes, and an additional cost of $4.75 for each game bowled.

y = 4.00 + 4.75x

This equation can be interpreted as follows: the fixed cost of $4.00 is added to the variable cost of $4.75 per game, multiplied by the number of games bowled (x).

The result is the total cost, represented by y

Therefore,

The total cost for x games bowled can be represented by the equation:

y = 4.00 + 4.75x

where y is the total cost in dollars, and x is the number of games bowled.

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1. 12x^2 +2xy
2. 21ab^2 +35ab
3. w^2+15w+ 14
4. m^2-12m+20
5. 2k^2+5k-3
6. -r^2-5r-6
7. 8y^2+26y+15
8. -2d^2-7d-5
9. (h+6)(h-4)=0
10. s^2-7s+12=0
11. -2d^2-7d-5

Answers

Answer:

1. 12x^2 +2xy

Step-by-step explanation:

1. 12x^2 +2xy

2. 21ab^2 +35ab

3. w^2+15w+ 14

4. m^2-12m+20

5. 2k^2+5k-3

6. -r^2-5r-6

7. 8y^2+26y+15

8. -2d^2-7d-5

9. (h+6)(h-4)=0

10. s^2-7s+12=0

11. -2d^2-7d-5

2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.​

Answers

Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Define Fraction.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

For the percentage of people who prefer other newspapers are:

100% - 50% - 30% = 20%

So, 20% of the people in Salmiya prefer other newspapers.

Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):

Arab Times: 50% * 50000 = 25000 people

Wataniya: 30% * 50000 = 15000 people

Other newspapers: 20% * 50000 = 10000 people

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Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand

Answers

Answer:

[tex]x \approx 729[/tex]

Step-by-step explanation:

Given

Let the number be x

So:

[tex]x + 10\sqrt x = 1000[/tex]

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

[tex]x = 625[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]625 + 10 *\sqrt{625}[/tex]

Take the square root of 625

[tex]625 + 10 *\sqrt{625} = 625 + 10 *25[/tex]

[tex]625 + 10 *\sqrt{625} = 625 + 250[/tex]

[tex]625 + 10 *\sqrt{625} = 875[/tex]

Let

[tex]x = 729[/tex]

So, we have:

[tex]x + 10\sqrt x = 1000[/tex]

[tex]729 + 10 * \sqrt{729}[/tex]

Take the square root of 729

[tex]729 + 10 * \sqrt{729} = 729 + 10 * 27[/tex]

[tex]729 + 10 * \sqrt{729} = 729 + 270[/tex]

[tex]729 + 10 * \sqrt{729} = 999[/tex]

At this point, we can conclude that x is approximately 729 because

[tex]999 \approx 1000[/tex]

So:

[tex]x \approx 729[/tex]

Pls help
Solve by substitution.
6x +Зу = 15
x – 2y = 10

Answers

Answer:

y=5 , x= 20

Step-by-step explanation:

6x + 3y = 15

x - 2y = 10

make x subject of the formula in equation two

therefore x = 10 - 2y

substitute the value of x in equation one

6 ( 10 - 2y) + 3y = 15

60 - 12y + 3y = 15

-9y = -45

y = 5 and x = 20

Answer:

{x,y} = {4,-9}

Step-by-step explanation:

// Solve equation [1] for the variable  y

 [1]    y = -6x + 15

// Plug this in for variable  y  in equation [2]

  [2]    -7x - 2•(-6x+15) = -10

  [2]    5x = 20

// Solve equation [2] for the variable  x

  [2]    5x = 20

  [2]    x = 4

// By now we know this much :

   x = 4

   y = -6x+15

// Use the  x  value to solve for  y

   y = -6(4)+15 = -9

Solution :

{x,y} = {4,-9}

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