Find a quadratic function f(x) = ax^2 + bx + C whose
graph passes through the points (-1,3), (1,1) and (2,6).

Answer:

The formula is a^2 + b^2 = c^2

Step-by-step explanation:

A and B are legs and C is the hypothunisis.

The theorem is used for triangles.

4^2  + 5^2 = c^2

16 + 25 = c^2

41 = c^2

sqr(41) = sqr(c)^2

c = 6.403124237

Answer:

would it be 2/12 or 1/6 of a chance of getting a three

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

Answer:

3x+2y

Step-by-step explanation:

Find the rectangles attached

Area of a rectangle = Length * Width

A = A1+A2

given

A = 30cm²

A1 = 3 * x

A1 = 3x

A2 = 2*y

A2 = 2y

Substitute

30 = 3x+2y

Hence the required equation is 3x+2y = 30

Answer: 3x + 2y = 30

Step-by-step explanation:

A = L x W

The sum of the rectangle is 30.

One angle is 3 and x, the other one is 2 and y.

Multiply 3 with x = 3x.

Multiply 2 with y = 2y

Then create your equation plugging in 30 as the answer to 3x + 2y

Answer:

Your answer is: (-1/2, 3/2)

Step-by-step explanation:

y = x + 2

y = -3x

Use substitution by plugging the second equation into the first.

-3x = x +2

Subtract x from both sides to combine the variables.

-4x = 2

Divide both sides by -4 to isolate the variable x.

x = 2/-4

Simplify.

x = -1/2

Plug x into one of the equations to find y.

y = (-1/2) + 2

y = 3/2

Plug x into the other equation to confirm your answer.

y = -3(-1/2)

y = 3/2

Your answer is: (-1/2, 3/2)

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.

Answer:

3 hours x 8 meters = 24 meters + 28 meters = 52 meters

52 / 3 = 17 and 1/3 hours.

Brainiest plz?   :)

Answer:

c=110+5x

Step-by-step explanation:

The equation that represents the total cost is C = 5x + 110.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expense of leasing a bowling alley for a party is $110, in addition to $5 an individual for food.

Let 'C' be the total cost and 'x' be the number of friends. Then the equation is written as,

C = 5x + 110

The equation that represents the total cost is C = 5x + 110.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

This graph is NOT a function.

Step-by-step explanation:

A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.

Let me know if this helps!

Answer:

19/25 it cant simplified

Step-by-step explanation:

Standard form of given expanded form of a number is 16518.

The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousand, and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Given

Expanded form = (5×1,000)+(7×10)+(8×1)+(4×110)+(1×11,000)

We have to convert the expanded form into standard form

= 5000 + 70 + 8 + 440 + 11000

= 16518

Thus, standard form of given number is 16518.

Find out more information about expanded form here

https://brainly.com/question/1637442

#SPJ3

Answer:

16,518

(or  1.6518 x 10⁴)

Step-by-step explanation:

Expanded form:  The digits of a number are split into individual digits based on their place value.  Each digit of a number can be written in  multiple of 1, 10, 100, 1000, etc.

Standard form:  The combination of digits written together as a single number.

The given number is not quite, but almost, written in expanded form:

(5 × 1,000) + (7 × 10) + (8 × 1) + (4 × 110) + (1 × 11,000)

For it to truly be written in expanded form, the (4 × 110) would be written as (4 × 10) + (4 × 100) and the (1 × 11,000) would be written as either (11 × 1,000) or (1 × 10,000) + (1 × 1,000).

If the number should be written in standard form as defined above, carry out the operations in the parentheses, then add them together:

[tex]\large\begin{array}{l c r}8 \times 1 & = & 8\\7 \times 10 & = & 70\\4 \times 110 & = & 440\\5 \times 1000 & = & 5000\\1 \times 11000 & = & 11000\\\cline{3-3}& & 16518\end{array}[/tex]

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

However, in math there is another type of Standard Form (also called "Scientific notation") that is written in the form of [tex]a \times 10^n[/tex], where  [tex]1\leq a < 10[/tex]  and  [tex]n[/tex] is any positive or negative whole number.

To convert a number into standard form, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 ([tex]n[/tex]).

If the decimal point has moved to the left, the power is positive.

If the decimal point has moved to the right, the power is negative.

To convert 16518 into standard form:

Move the decimal point 4 places to the left and multiply by 10 to the power of the number of places the decimal was moved (4):

⇒ 1.6518 x 10⁴

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

**I have provided both standard forms, as it is not clear from the question which is required.**

Answer: No,   He will need $22 to add to his money to  buy jacket.

Step-by-step explanation:

Normal price  of jacket =$120,

New price = 40% off  which means 40% Less than the Normal price

 = 40/ 100 x 120

=0.4 x 120 = 48; 120 -48= $72

New Price = $72

Therefore Roberto with $50 to spend does not have enough to buy the jacket

He will need $72- $50 =$22  to add to his money to  buy jacket.

Answer:

Step-by-step explanation:

the answer is C! i’m doing this right now as well

Answer:

5a + 13

Step-by-step explanation:

3a + 7 + 2(3 + a)

3a + 7 + 6 + 2a

5a + 13

Answer:

x=4 y=8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8[/tex]

Answer:the first one and the fourth one

Step-by-step explanation:

Answer:

3.1w

Step-by-step explanation:

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

y = x+3

y = 4+3

y = 7

brainlist plz

Answer:

1.50 liter/hr

Step-by-step explanation:

using;

[tex] \frac{6 - 3}{4 - 2} [/tex]

=3/2= 1.50 liter/hr