use the quadratic formula to solve 2x^2 -1 = 7x, and then verify your answer by graphing​

Answer:

C

Step-by-step explanation:

We can use the vertex form of a quadratic equation, given by:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

We are given that the vertex is (-3, 1).

Hence, h = -3 and k = 1. By substitution:

[tex]f(x)=a(x-(-3))^2+(1)[/tex]

Simplify:

[tex]f(x)=a(x+3)^2+1[/tex]

With this, we can eliminate B and D.

Notice that our parabola is curving downwards.

Therefore, our leading coefficient must be negative.

The only choice that leaves us with is C.

So, our function is:

[tex]f(x)=-(x+3)^2+1[/tex]

And our final answer is C.

Answer:

[C] 16

Explanation:

= 7x + 8 + −7x + 8

= 7x + 8 + −7x + 8

= (7x + −7x) + (8 + 8)

= 16

In the .docx file is a SUDOKU that needs to be resolved.

See the solution in the attached image.

Answer:

you would do 3,172 divided 27 which would be 117 then subtract that by 3,172

Step-by-step explanation:

Answer:

3x-5+2y

Step-by-step explanation:

Wasnt much detail to the question so i created a random algebra expression you cannot have an equal sign for an expression because that would change it from an expression to an equation.

Step-by-step explanation:

[tex] = a(a + ab - c) - bc[/tex]

[tex] = {a}^{2} + {a}^{2} + ab - ac - bc[/tex]

[tex] = {2a}^{2} + ab - ac - bc[/tex]

Answer:

12a+60 i think lol

Step-by-step explanation:

this is how i did it though:

12(a+b)

12a+60

Answer:

y=-(4x/3) -1

Step-by-step explanation:

Slope=m= -4/3

y intercept = c = -1

now using equation;

y= mx+c

y= (-4/3)x+(-1)

y=-(4x/3) -1

Answer:D

Step-by-step explanation:

The solution is: x = +/- √7 and x = +/- i √2  are the solutions of the equation x^4 - 5x^2 - 14 = 0.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

we have to factorize the equation,

The given equation is

x^4 - 5x^2 - 14 = 0

To factor this expression, we can change variables to make easier to see the solution.

x^4 = y^2

and

x^2 = y

Applying the change, we have

y^2 - 5y - 14 = 0

Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.

y^2 - 5y - 14 = 0

or, (y-7) ( y+2) = 0

However, remember that , y = x^2

so, (x^2-7) ( x^2+2) = 0

Applying the zero property, we have

x = +/- √7

and x = +/- i √2

As you can see, the equation has two real solutions and two complex solutions.

Therefore, the right answer is the last choice.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ7

Answer:

$74.49

(basically $74.50)

Step-by-step explanation:

hope that helps :))

Answer:

6^5

Step-by-step explanation:

You too, btw!

Answer:

6 with a small 5 on the side so press the button with the a and the small be then put 6 and 5 as the small number

exponents are just 6 x 6 x 6 x 6 x 6 just count the number of 6's and put it as the little number if that names sense

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

30 papers every minute.

Answer:

The correct answer is 60

Step-by-step explanation:

First you find the unit rate by doing 300 divided by 10 which equals 30  posters per minutes then do 30 times 2 to equal 60

HAVE A GOOD DAY!

Answer:

2nd option AOD and BOD because they add up to 180

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

E:S

4:3

4u+3u=140

7u=140

u=20

Answer:

FV= $34,222.33

Step-by-step explanation:

First, we need to calculate the weekly interest rate:

Weekly interest rate= 0.0289/52= 0.00056

To calculate the future value (FV), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= weekly deposit

n= 15*52= 780

A= $35

FV= {35*[(1.00056^780) - 1]} / 0.00056

FV= $34,222.33

Answer:

The facility's volume in cubic yards is 9000

Step-by-step explanation:

The volume of the facility is given by the multiplication of it's dimensions.

We want the volume in cubic yards, so the dimensions have to be in yards.

Each feet has a third of an yard. So the dimensions are:

120 feet = 40 yards

45 feet = 15 yards

45 feet = 15 yards

What is the facility's volume in cubic yards?

[tex]V = 40*15*15 = 9000[/tex]

The facility's volume in cubic yards is 9000

Answer:

50.24 square inches

Step-by-step explanation:

A circles area is:

[tex]\pi r^{2}[/tex]

Insert the values:

(3.14)(4^2)

3.14(16)

50.24 square inches

Answer:

3. the individual parts of an expression.

Step-by-step explanation:

an example would be 5x + 2y - 6

5x, 2y, and 6 are all terms that are separated by symbols like +,-,× etc.

Answer:the area of the cake is 60 inches

Step-by-step explanation: length times width. hope this helps.

Answer:

1.15697674419

Step-by-step explanation:

Answer:

1.15697674419 is the answer

Answer:

The Answer is 8.

Step-by-step explanation:

I just took the test on Edge and got it right, hope this helps! :)

finish brackets first.

(6) + (9-7)

= 6+2

=8