Convert y=x squared +64x + 12 into graphing form

Answers

Answer 1

Answer: $To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \ of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k ,\n \n we \ have \ to \ write \ the \ equation \ in \ the \ complete \ square \ form \ and \ vertex(h, k) \ is \ given \ by:$

$h = (-b)/(2a) , \ \ k = c -(b^2)/(4a) \n \ny = a(x - h)^2+k$

opens up for a > 0, and down for a < 0

$y=x^2 +64x + 12\n \na=1,\ b=64 \ c = 12 \n \nh = (-64)/(2)=-32 \n \n k = 12 -(64^2)/(4 )=12-(4096)/(4)=12-1024= -1012\n \ny = (x+32)^2-1012 \n \n This \ means \ the \ vertex \ of \ the \ parabola \ is \ at \ the \ point \ (-32, -1012)\n \n and \ the \ parabola \ is \ concave \ up.$

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Daniel wants to have a 90 average in his math class at the end of the year. He is trying to determine what he needs to get on his final exam, which accounts for 10% of his grade, for this to work. Tests are weighted 50% of the grade, and he currently has a 85 for his test average; quizzes are weighted 15% of his grade, and he currently has a 95 quiz average; homework is weighted 15% of his grade and he currently has a 98 homework average; and projects are weighted 10% of his grade and he currently has a 92 project average. What is the lowest whole percentage Daniel can make on his final exam for him to end up with a 90 in the class?

Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5coefficient =
The power of x =
The power of y =

Answers

The power of x will be 5, and the power of y will be 10. Hope it helps :-)

the answer is...... Final result : (2x + y2)5

Step by step solution :Step 1 :Final result : (2x + y2)5

i hope this help

Simplify the expression (3/7)^2

Answers

The solution is 9/49

The value of the equation is A = 9/49

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the number be n = 3/7

The equation A = n²

Substituting the value for n in the equation , we get

A = ( 3/7 )²

On simplifying the equation , we get

A = ( 3 )² / ( 7 )²

The value of A = 9/49

Therefore , the value of A is 9/49

Hence , the equation is A = 9/49

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Answer:9/49

Step-by-step explanation: 3x3=9 7x7=49 so you get 9/49

Add. Write your answer in simplest form.

4 6/7 + 3 5/7=____

Answers

First add the fractions.

6/7 + 5/7 = 1 4/7

Then add the whole numbers

4 + 3 = 7

Then add the mixed number to the whole number

7 + 1 4/7 = 8 4/7

Your answer is 8 4/7

Answer:

8 4/7

Step-by-step explanation:

44 + 32 = 4(11 + 8)

Yes
No

Answers

Answer:

yes 11+8=19

19 times 4 is 76

44+32= 76

Step-by-step explanation:

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.This system of equations models the situation.

x + y =125

5x + 8y = 775

Solve the system to answer the questions.

How many premium car washes were ordered?

premium car washes

How many quick car washes were ordered?

quick car washes

Answers

Answer:

50 and 75

Step-by-step explanation:

trust me bro

Answer:

50 and 75

Step-by-step explanation:

Hope this helps :)

What point in the feasibility region maximizes the objective function?Objective Function: C = 5x - 4y

Answers

In general, you solve a problem like this by identifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.

In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).

The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time. The solution space vertex that does that is (3, 0).

To solve a problem like this, we can identify the vertices of the feasible region.

The vertex that satisfies this is (3, 0). Therefore, the maximum value of C is 3.

What is the Feasible Region?

The feasible region is the area where all the constraints are satisfied. In this case, the feasible region is the purple area in the graph. The vertices of the feasible region are (0, 0), (0, 1), (1.5, 1.5), and (3, 0).

To maximize C, we want to make y as small as possible and x as large as possible. The vertex that satisfies this is (3, 0). Therefore, the maximum value of C is 3.