Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens.

Answer:

20

Step-by-step explanation:

1.4-28/x = 0

bring 1.4 to the right hand side

-28/x = -1.4

bring the x to the right hand side

-28 = -1.4x

switch the positions of -28 and -1.4x

-1.4x = -28

divide -28 by -1.4

x = -28/-1.4

x = 20

Answer:

27

Step-by-step explanation:

2(6) + -5(-3)

= 12+15

= 27

Answer:

your method is wrong, final answer should be -3

Step-by-step explanation:

symbols are used in the order of bracket first, then multiplication and division, then addition and subtraction

i.e.

3 - 2(1 + 2)

= 3 - 2(3)

= 3 - 6

= -3

Answer:

=-3

Step-by-step explanation:

Answer:

This question i think google could help you if not more then brainy if u don't get a answer fast enough

Step-by-step explanation:

hope i helped u a little bit i know i didn't have a answer.

Answer:

i think the answer is 3

Step-by-step explanation:

Step-by-step explanation:

800 is the correct answer

Answer:

800

Step-by-step explanation:

because you would have to get multiple items

Answer: 99

Step-by-step explanation:

A_P_E_X approved need proof here is an imagine

Answer:

[tex]\sqrt{73}[/tex]units.

Step-by-step explanation:

We have given a pentagon ABCDE

We need to calculate its length

That means we have to find the distance of AD

So, coordinates of A(1,6) and D(4,-2)

Using distance formula:

Here,

On substituting the values we will get:

On simplification:

Hence, the length of AD is   units.

Answer:

2 / 5 = 0.4

1 / 5 = 0.2

3 / 4 = 0.75

3 / 5 = 0.6

Answer:

Step-by-step explanation:

z -  any integer

2z+1 - any odd integer (the smaller one)

2z+1+2 = 2z+3 - odd integer consecutive to 2z+1  (the larger one)

2(2z+1)    - twice the smaller number

2(2z+1) - 1    - one less than twice the smaller number

2(2z+1) - 1 = 2z + 3

4z + 2 - 1 = 2z + 3

2z = 2

 z = 1

2z+3 = 2•1+3 = 5

check:

2z+1 = 2•1+1 = 3,  

2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3

Answer:

[tex]\huge\boxed{y=9x^2-144x+593}[/tex]

Step-by-step explanation:

[tex]y=9(x-8)^2+17\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\y=9\bigg(x^2-2(x)(8)+8^2\bigg)+17\\\\y=9(x^2-16x+64)+17\qquad\text{use the distributive property}\\\\y=(9)(x^2)-(9)(16x)+(9)(64)+17\\\\y=9x^2-144x+576+17\\\\y=9x^2-144x+593[/tex]

Answer: A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero if you’re working with a number with a long line of different decimals, then your number is irrational! If you’re working with an integer or a number with terminal or repeating decimals (like 1.333333), then your number is rational! and 13 is a rational number since it can be written as a fraction as well like 13/1

Step-by-step explanation:

Answer:

The answer would be $6,700

Answer:

- 1

Step-by-step explanation:

[tex]slope = \frac{3 - 7}{2 - ( - 2)} = \frac{ - 4}{2 + 2} = - \frac{4}{4} = - 1 \\ [/tex]

The slope of the line that contains the points (-2, 7) and (2, 3) is -1.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the points (-2, 7) and (2, 3).

So, the slope of line

= (3 -7)/ (2- (-2))

= (-4) / (4)

= -1

So, the slope of line is -1.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ5

Given :

Electronic configuration of an electron :

[tex]1s^2\ 2s^2\ 2p_x^2\ 2p_y^2\ 2p_z^2\ 3s^2 \ 3p_x^2\ 3p_y^2\ 3p_z^2[/tex] .

To Find :

The element having such an electronic configuration .

Solution :

We know , the sum of all the power of s and p in all the orbit gives total number of atoms in elements .

So , atomic number is :

[tex]Z=2+2+(2+2+2)+2+(2+2+2)\\\\Z=18[/tex]

Since , the atomic number is 18 .

Therefore , the element is Argon .

Hence , this is the required solution .

Answer:

first answer is correct

Step-by-step explanation:

f(x) = x² - 2x - 3

g(x) = 4x²

f(g(x)) = f(4x²)

f(4x²) = (4x²)² - 2(4x²) - 3

= 16x⁴ - 8x² - 3

x = price of a senior ticket

y = price of a student ticket

First day: x + 14y = $225

Second day: 7x + y = $120

Let's solve this system of equations by substitution

Subtract 14y from both sides on our first equation

First day: x = $225 - 14y

Substitute this value into our second equation for x

7($225 - 14y) + y = $120

Distribute the 7

$1575 - 98y + y = $120

Combine like terms

$1575 - 97y = $120

Subtract $1575 from both sides

-97y = -1455

Divide both sides by -97

y = $15

Plug this value into our first equation

x + 14(15) = $225

Simplify

x + $210 = $225

Subtract $210 from both sides

x = $15

The senior and student tickets cost $15

Answer:

i believe that it is  x = 3

Step-by-step explanation:

hope this helps :)

Answer:

hope this helped you

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Answer:

[tex]1.66 * 10^{0}[/tex]

Step-by-step explanation:

1.660

we would only move the decimal point once.

1.66 * 10^0

10^0 = 1

Answer: 5

Step-by-step explanation:

The function is f(x)= -4x-3:

1) Substitute x with -2 to get: f(-2)= -4(-2)-3

2) Solve using P.E.M.D.A.S to get 8-3=5

Therefore, the answer is 5.

Answer:

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Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

Answer: no

Step-by-step explanation:

Answer: (x+2)

Step-by-step explanation:

The factor of the polynomial expression is "(x+2)".

[tex]\to x^3+2x^2-9x-18[/tex]

factor=?

[tex]\to x^3+2x^2-9x-18=0\\\\\to x^2(x+2)-9(x-2)=0\\\\\to (x+2)(x^2-9)=0\\\\\to (x+2)(x^2-3^2)=0\\\\\to (x+2)(x-3)(x+3)=0\\\\[/tex]

Therefore, the answer is "[tex](x+2)[/tex]".

Learn more about the factor here:

brainly.com/question/713325

Answer:

x=(y+b)/m

Step-by-step explanation:

y=mx+b

y+b=mx

(y+b)/m=x