What is the equation in point-slope form of the line that passes through the point (3, −2) and has a slope of 23?


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Equation is y = 2x² + 4x + 1.

A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Given Data

Standard form of quadratic equation

Y = ax² +bx + c

Given points

(3,9), (30,-9). (0,1)

Equating points in formula

9= a(3)² + b(3) + c

9 = 9a + 3b +c

-9 = a(30)² + 3(30) + c

-9 = 900a + 90 + c

1 = a(0)² + b(0) + c

c = 1

Equating c in the equation

9 = 9a + 3b +1

8 = 9a + 3b

-9 = 900a + 90b +1

-10 =  900a + 90b

Multiplying both sides by 100

800 = 900a + 300b

-10    = 900a + 90b

--------------------------

790 = 210b

b = 4 (rounding off)

Putting values of b into equation

8 = 9a + 3(4)

20 = 9a

a = 2 (rounding off)

Equation is y = 2x² + 4x + 1.

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Answer: n = 1/2; m = 2/3

Step-by-step explanation:

A ⇒ 12 y = 6x + 24

[tex]y=\frac{n}{2}+2[/tex]

[tex]n=\frac{1}{2}[/tex]

B ⇒ 3y = 2x + 18

[tex]y=\frac{2}{3}n+6[/tex]

[tex]m=\frac{2}{3}[/tex]

∴ Lines are neither because slop diff.

Answer:

its d i got it right

Step-by-step explanation:

Hey you man what are you doing here go to there

The standard form of (5 times 10^3) x (9 times 10^7) is 45x10^10

(5 times 10^3) x (9 times 10^7)

=5x10^3 x 5x10^7

=5x9 x 10^(3+7)

=45x10^10

The answer can also be written in the Decimal Point format,

=4.5x10^11

This answer can be elaborated by using the Product of Powers rule of exponents. In this rule, we add exponents when multiplying powers with the same base.

Exponent = The number of multiplications by itself.  It is represented as written above and to the right of a number.

For example:

10^7, where 10 is the base and 7 is an exponent.

Product of Powers rule of Exponents:

a^b x a^c = a^(b+c)

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Answer:

v=4,−2

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

[tex]{ \sf{ {v}^{2} - 2v - 8 = 0}} \\ { \sf{(x + 2)(x - 4) = 0}} \\ { \tt{x = - 2 \: \: or \: \: 4}}[/tex]

Answer: 1725714.28571

Answer:

12080000/7 or 1725714.28571

Step-by-step explanation:

Answer:

z = 54

Step-by-step explanation:

The sum of all interior angles in a polygon is given by the formula :

(n-2) × 180  (Where n is the number of sides) .  

There are 5 sides so the sum of all interior angles will be :

(5-2) × 180 = 540°

So :

108 + 130 + 140 + 2z + z = 540

Simplify :

378 + 3z = 540

Subtract 378 from both sides :

3z = 540 - 378

3z = 162

Divide both sides by 3 :

z = 162 ÷ 3

z = 54

Hope this helped and have a good day

the answer:

9-5x+2=4-5x

Step-by-step explanation:

as there is -5X in the two sides

Answer:

1a. 10 cups of dry rice will serve 30 people.

1b. 15 cups of dry rice will serve 45 people.

2. 30 spring rolls = 15 people

40 spring rolls = 20 people

56 spring rolls = 28 people

Step-by-step explanation:

1a. To find a constant, the equation is y/x. When 6 is divided by 2, you get 3 and from there the input increases by 3.  So, you multiply 10 by 3 to find how many people it can serve.

1b. To find this answer, you divide 45 by 3 to get 15. So 15 cups will serve 45 people.

2. Any number in the second column is divided by .5 to get the number in the first column. Any number in the first column is multiplied by .5 to get the number in the second column.

I hope that helps :)

Answer:

c

Step-by-step explanation:

the product (multiply ) of y and 12 is 12y and 4 less than 12y is

12y - 4

Answer:

12y - 4.

Step-by-step explanation:

The product is 12y and we subtract 4 from it.

Answer:

[tex]36r^2+56r[/tex][tex]36r^2+56r[/tex]

Step-by-step explanation:

First simplify [tex]-4r(-11r+2r-14)[/tex] into [tex]-4r(-9r-14)[/tex] by adding the terms with common variable r together,

then expand into the answer

Answer:

-36r^2 - 56r

Step-by-step explanation:

The roots of the given equation are:

Get roots of equation, 2x² + 26 = 0:

Divide both sides by 2:

Finding square roots on both sides:

So, the roots of the equation are x = ±i√13.

Therefore, the roots of the given equation are:

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Answer:−2.9 and −1.1

Step-by-step explanation:

The values from the least to greatest is 160%, 1.8, 2.1, 220%, 16/5 .

In the question ,

it is given that

the values 9/4 , 160%, 1.8, 16/5 , 220%, and 2.1

to arrange the values , we first need to simplify all the values .

(i) the value 9/4 = 2.25

(ii) 160% = 160/100 = 1.60

(iii)the value 1.80

(iv) Simplifying 16/5 , we get 3.20

(v) Simplifying 220% = 220/100 = 2.20

(vi) the value 2.10

the least value is 1.60 which is 160%.

the greatest value is 3.20 which is 16/5 .

Therefore ,the values from the least to greatest is 160%,1.8,2.1,220%,16/5  .

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The mean and median of the data are equivalent and the value is 6.

The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.

Let us find the mean of the data set :

mean =  (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6

Median = 6 middle value.

Therefore the mean and median are equivalent.

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y value of the kilo

 y =  (1/1000) x

imagine

x = 20

y = x / 1000

20 / 1000 = 0.020

The range of x values that define the expression is known as the domain. The collection of all legal y values constitutes the range. To determine the range, use the graph.

How are domain and range determined?

The Equation's Domain and Range in order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)

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The derivative of the function [tex]f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}[/tex] will be given below.

[tex]f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}[/tex]

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decrease.

The equation of the function will be given as,

[tex]f(x) = \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}[/tex]

The derivative of the function will be given as,

[tex]f'(x) = \dfrac{d}{dx} \ \sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} \\\\\\f'(x) = \dfrac{2 + 2(x^2 + 1)(0.5x^2 + 2x + 1) \cdot (x + 2) + (0.5x^2 + 2x + 1)^2 \cdot 2x}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\\\\\f'(x) = \dfrac{2 + (0.5x^2 + 2x + 1)[2(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot 2x]}{2\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2} }\\[/tex]

Solve the equation further, then we have

[tex]f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)[(x^2 + 1)(x + 2) + (0.5x^2 + 2x + 1) \cdot x}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(x^3 + 2x^2 + x + 2 + 0.5x^3 + 2x^2 + x)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}\\\\\\f'(x) = \dfrac{1 + (0.5x^2 + 2x + 1)(1.5x^3 + 4x^2 + 2x + 2)}{\sqrt{2x + (x^2 + 1) (0.5x^2 + 2x + 1)^2}}[/tex]

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The value of k in the equation, k over 22.8 equals 6.9, is 157.32.

The given equation is:

k / 22.8 = 6.9

In order to determine the value of k, multiply both sides of the equation by 22.8.

Multiplication is one of the basic mathematical operation. It is the operation that is used to determine the product of two or more numbers by adding a number with another number repeatedly over a number of times. The sign that represents multiplication is ×.

(k / 22.8) x 22.8 = 6.9 x 22.8

k =  157.32.

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Answer:

x

Step-by-step explanation:

2x + 5 + 7x = 8x -11  Combine like terms

9x + 5 = 8x -11  Subtract 8x from both sides of the equation

x + 5 = -11  Subtract 5 from both sides of the equation.

x= -16

Answer: -16

Step-by-step explanation:

2x+5+7x = 8x-11 simplifies into 9x+5 = 8x -11.

Move 8x to the other side - put like terms together : 9x-8x+5 = -11

Which is simplified into x+5 = -11

Move 5 to the other side to isolate x: x = -11 -5

Combine -11 and -5

x = -16

Answer:

32°

Step-by-step explanation:

Angle A + angle B = angle ACD

Since it is an isosceles triangle angle a = angel b

2(2x + 16) = 5x +24  distribute the 2

4x + 32 = 5x + 24  Subtract 4x from both sides

32 = x + 24  Subtract 24 from both sides

8 = x

Now plug in 8 for x in 2x + 16

2(8) + 16

16+ 16 = 32

The final balance that will be in the account of Latisha is $10.

A checking account simply means the account that makes use of a check. It is usually used by business owners.

From the information, Latisha has $40 in her checking account, she makes a withdrawal of $20 and then writes a check for $40 and then she deposits $30.

The appropriate operations to find the balance will be:

= 40 - 20 - 40 + 30

= 10

She will have $10 left. Note that a withdrawal is subtraction.

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Answer:

Step-by-step explanation:

-2=3/2(0)+5

0.68 is a rational number and the reason is because:

0.68 can be regarded as a rational number because it is a finite number that is also a fraction of two whole integers. In this case, the integers are 68 and 10. Another feature by which rational numbers are known is the fact that they are repeating in nature.

However, it is important to note that the decimal here is terminating in nature because it has a finite number of zeros behind the number 8. So, the reason for selecting 0.68 as a rational number is that it terminates.

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Answer: B

Step-by-step explanation:

Assuming we mean biconditional statements. A biconditional must always be true. B is the only answer choice were both p and q are true. A young cow is a calf, and calfs are cows. Hope this helps!

Answer:

answer is c

Step-by-step explanation:

5x+2=10

If A=[-9,0,3,-1] b=[0,4,-6,2] , so the order of matrix A+B is 4x1(4 rows and 1 column).

Matrix, a set of number arranged in rows and column so as to form a rectangular array. The number are called the elements, or entries, of the matrix .

Both data and mathematical equations can be represented by the numbers in a matrix. Multiplying matrices can provide quick but accurate approximations of considerably more complex calculations in many time-sensitive engineering applications.

The elements of the matrix are nothing but the entries of the matrix.

So according, To the question we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column obtaining a third matrix that has also 4 rows and 1 column :

 [-9,0,3,-1]+[0,4,-6,2]=[-9,4,-3,1]

The resultant A+B is also of 4 rows and 1 column

Hence the order of matrix A+B is 4x1 (4 rows and 1 column)

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Samuel's average speed during his morning routine is  24.3 miles per hour.

Average speed measures how fast an object or a person is travelling with respect to time. Average speed is the ratio of total distance travelled and total time travelled.

Average speed = total distance / total time

Total distance = 4.5 + 2/3 + 9

= 4.5 + 9 + 0.67 = 14.2 miles

Total time = 30 + 20 + 45 = 95 minutes = 1 hour 35 minutes  = 1 7/12 hours = 1.6 hours

Average speed = 14.2 / 1.6 = 24.3 miles per hour

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