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3 years ago

(-786)+(-923)=(-923)+(-786) verify

Mathematics

1 answer:

Lunna [17]3 years ago

5 0

Answer:

$- 786 + - 923 = - 923 + - 786 \\ - 786 - 923 = - 923 - 786 \\ - 1709 = - 1709 \\ thank \: you$

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Determine the vertex of the function f(x) = 3(x − 2)2 + 1.

anastassius [24]

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1) ⇒ answer A

Step-by-step explanation:

Any quadratic function represented graphically by a parabola

1. If the coefficient of x² is positive, then the parabola open upward

and its vertex is a minimum point

2. If the coefficient of x² is negative, then the parabola open

downward and its vertex is a maximum point

3. The standard form of the quadratic function is: f(x) = ax² + bx + c

where a, b , c are constants

4. The vertex form of the quadratic function is: f(x) = a(x - h)² + k,

where h , k are the coordinates of its vertex point

∵ The function f(x) = 3(x - 2)² + 1

∵ The f(x) = a(x - h)² + k in the vertex form

∴ a = 3 , h = 2 , k = 1

∵ h , k are the coordinates of the vertex point

∴ The coordinates of the vertex point are (2 , 1)

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)

Learn more:

You can learn more about quadratic function in brainly.com/question/1357167

#LearnwithBrainly

6 0

3 years ago

Read 2 more answers

Let f(x)=x2−2x−4 . What is the average rate of change for the quadratic function from x=−1 to x = 4?

goblinko [34]

Answer:

The average rate of change for f(x) from x=−1 to x = 4 is, 1

Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$

As per the statement:

$f(x) = x^2-2x-4$

we have to find the average rate of change from x = -1 to x = 4

At x = -1

$f(-1) = (-1)^2-2(-1)-4 = 1+2-4 = -1$

and

at x = 4

$f(4) = (4)^2-2(4)-4 = 16-8-4 = 4$

Substitute these in [1] we have;

$A(x) = \frac{f(4)-f(-1)}{4-(-1)}$

⇒ $A(x) = \frac{4-(-1)}{4+1}$

⇒ $A(x) = \frac{5}{5}$

Simplify:

A(x) = 1

Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1

4 0

3 years ago

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On a field trip they take busses and vans. Each bus holds 60 people and each van holds 10 people. If 390 people went on the trip

riadik2000 [5.3K]

Answer:

6 buses and 3 vans

Step-by-step explanation:

5 0

3 years ago

Sarah plans to sell homemade birdhouses at the local craft fair. She spent $90 on new tools and estimates that she spends $6 in

Lapatulllka [165]

Answer: C
Y=90+6x/x

90 new tools + 6 dollars (x) over x dollars

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3 years ago

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Wewaii [24]

Answer:

For covering $1$ unit area of the entire playground, the amount of sand required is equal to volume of $3$ buckets of sand.

Step-by-step explanation:

Given -

$\frac{1}{3}$ volume of sand in bucket is able to cover $\frac{1}{9}$ area of the entire playground

Thus,

For covering $\frac{1}{9}$ unit area of the entire playground, the amount of sand required is equal to $\frac{1}{3}$ of the total volume of sand in bucket

For covering $1$ unit area of the entire playground, the amount of sand required is equal to

$\frac{\frac{1}{3} }{\frac{1}{9} } \\\\\frac{1}{3} * \frac{9}{1} \\\frac{9}{3}\\= 3$

For covering $1$ unit area of the entire playground, the amount of sand required is equal to volume of $3$ buckets of sand.

4 0

3 years ago