− 7 / 8 + ( − 1 / 2 )

Given:

The equation is

[tex]y=-1(x-4.5)^2+15.25[/tex]

To find:

The standard form of the given equation.

Solution:

We have,

[tex]y=-1(x-4.5)^2+15.25[/tex]

It is a quadratic equation.

The standard form of a quadratic equation is [tex]y=ax^2+bx+c[/tex]. So, we need to write the given equation in this form.

[tex]y=-(x-4.5)^2+15.25[/tex]

[tex]y=-[x^2-2(x)(4.5)+(-4.5)^2]+15.25[/tex]         [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=-[x^2-9x+20.25]+15.25[/tex]

[tex]y=-x^2+9x-20.25+15.25[/tex]

[tex]y=-x^2+9x-5[/tex]

Therefore, the required equation in standard form is [tex]y=-x^2+9x-5[/tex].

Answer:

A. y = 7x + 2

C. y = 2 - ⁷/3x

D. y - 2 = 4x

Step-by-step explanation:

The equation of any line that would intersect the orange line at the y-intercept, 2, would have the same y-intercept value of 2.

Thus, from the options given, the following equations has y-intercept (b) of 2.

A. y = 7x + 2

C. y = 2 - ⁷/3x

D. y - 2 = 4x

All three equations have a y-intercept value, b, of 2.

Note: option D, y - 2 = 4x, can be rewritten as y = 4x + 2.

Answer: A/C/D

Step-by-step explanation: A. y = 7x + 2

C. y = 2 - ⁷/3x

D. y - 2 = 4x

Answer:

The answer to your question is 2

Answer:

-18 + 3k

3k - 6

24k - 48

Step-by-step explanation:

thats just to name a few of the infinite possibilites

*tuff scrolls

*looks at other hard things

Answer:pAraell

Step-by-step explanation:

Answer:

32.50

Step-by-step explanation:

It is simple. You need to know the basics of money, fractions, and well... Math! :)

if you take 13 and multiply it by 2 you get 26

Take the 26 and put it aside ------------->         26

divide 13 in half. that would be 6.50

6.50 + 6.50 = 13      

Now get the 26 -------------------------->  26

and add 6.50 to 26.

That would be 32.50!

Please make sure to follow and like! :)

Answer:

x = 20°

Step-by-step explanation:

Lines and Angles

Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.

Thus, we have:

45 + 6x - 5 + x = 180

Simplifying:

40 + 7x = 180

Subtracting 40:

7x = 180 - 40

7x = 140

Dividing by 7:

x = 140/7 = 20

x = 20°

Answer:

square root 8

Step-by-step explanation:

trust bro

Answer:

What was the origainal price?

Step-by-step explanation:

Answer:

3:4 would be the answer

Step-by-step explanation:

you're welcome

$2.00 US Dollars is the answer

Answer:

its 4/24 :)))))))))))))))))

Answer:

128.39

Step-by-step explanation:

37% -----> 0.37 x 347= 128.39

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please

Answer:

hfjf fnnc v jud dbhj  ejem emd  jfbf

Step-by-step explanation:

Answer:

no solution with given parts of equation

Step-by-step explanation:

4(x-1)+3-2/2=n

4(x+1)+3-1=n

4(x+1)+2=n

4x+4+2=n

4x+6=n

Alternatively:

Slope = 4

x-intercept = -1.5

n-intercept = 6

Answer:

If you're looking for a simplified answer it would be: 4x-2

Step-by-step explanation:

Answer:

20%, 40%, 60%, 80%

Step-by-step explanation:

Answer:

Always

Step-by-step explanation:

An equiangular triangle is a triangle with three congruent interior angles. The angles of any triangle add up to 180 degrees. With three angles in a triangle that are all equal, this means each angle is 60 degrees (because 180 divided by 3 is 60).

An Acute triangle is a triangle with all of its angles being something less than 90 degrees. Since an equiangular triangle's angles all measure as 60 degrees, then the statement in the question is always true.

Answer:the width is 5 1/4 ft

Step-by-step explanation:

Step 1

The area of a rectangle is given as  Length x width

Therefore the area of the rectangular board = Length x width

The length of the first board =6ft  

The length of the second board =5 1/2 ft  (5.5ft) with both having a total area of 60 3/8 (60.375ft²). To find the width of the boards since both have equal width, we use the equation

Length x width of board A +  Length x width of board B= area of board A and Board B

6w + 5.5w =60.375

Step 2---- Solving the equation

 6w + 5.5w =60.375

       11.5w = 60.375

               w = 60.375/11.5

                  w= 5.25

Therefore  the width of the two boards are  5.25 ft / 5 and 1/4 ft each

Answer:

32

Step-by-step explanation:

divide 352 by 11

The required rate for Nevaeh's car uses 32 miles per gallon of gas.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.

Here total distance traveled by car = 352 miles

And the number of used gallons = 11

the car uses gas = 352 miles / 11 gallons

the car uses gas = 32 miles per gallon

Therefore, the required rate for his car uses 32 miles per gallon of gas.

Learn more about the Ratio here:

brainly.com/question/1504221

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Step-by-step explanation:

1; x <-2 (this one has the line under the sign)

2;x>2

3;x-2<0

4;2<x ( this one has the line under the sign)

5; -2<x

The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.

A line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.

Using a factor of 2;

New coordinate = 2(2, 1)

New coordinate = (4, 2)

From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.

Learn more on graph of a line here: https://brainly.com/question/24894997

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Answer:

a = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

10 + 4a = a - 23

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Here we see that -34 does indeed equal -34.

∴ a = -11 is the solution to the equation.

[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]

⠀⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]

⠀⠀

[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]

⠀⠀⠀⠀

For solving such problems we must have a glance at BODMAS rule .

⠀⠀⠀⠀

Firstly , putting all the variables at left and putting all the constants at right

⠀⠀⠀⠀

4a - a = - 23 - 10

⠀⠀⠀⠀

Secondly , solving the variable side

⠀⠀⠀⠀

3a = -23 - 10

⠀⠀⠀⠀

Now , solving the constant side

⠀⠀⠀⠀

3a = - 33

⠀⠀⠀⠀

Thirdly isolating the variable

⠀⠀⠀⠀

a = -33 / 3

⠀⠀⠀⠀

a = - 11

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]

⠀⠀⠀⠀

Answer:

its a

Step-by-step explanation:

Answer:

(12,-16) i think sorry if its wrong

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

The required simplified expression of the given expression 10x -(-7+6x) is 4x - 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the expression 10x -(-7+6x), we can apply the distributive property of multiplication over addition and simplify the expression inside the brackets first.

-(-7+6x) = -1×(-7) + (-1)×6x
          = 7 - 6x

Substituting this result into the original expression gives:

10x -(-7+6x) = 10x + 7 - 6x

Now we can combine like terms by adding the x terms and the constant terms separately:

= (10x - 6x) + 7

= 4x - 7

Therefore, 10x -(-7+6x) simplifies to 4x - 7.

Learn more about simplification here:

https://brainly.com/question/12501526

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