The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

it is a downward parabola cutting x-axis at (-3,0),(1,0)

f(x)=-(x+3)(x-1)

=-(x²+2x-3)

=-(x²+2x+1-1-3)

=-(x+1)²+4

vertex is (-1,4)


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A scale drawing of a square has a side length of 5 millimeters. The drawing has a scale of 1 mm : 5 km. Find the actual perimeter and area of the square.

Answers

Answer:

Actual Perimeter = 100 km

        Actual Area = 625 km²

Step-by-step explanation:

A scale drawing of a square has a side length of 5 millimeters.

The drawing has a scale of 1 mm : 5 km (which represents 1 mm is equal to 5 km)

We need to find the actual measurement of 5 mm square on scale.

                1 mm = 5 km

               5 mm = 5 × 5 km

                          = 25 km

The actual length of the side of square is 25 km

Now, we find the perimeter and area of the square.

  • Perimeter of square = 4 × side

                                 = 4 × 25

                                = 100 km

  • Area of the square = side × side

                                        = 25 × 25

                                        = 625 km²

Hence, The actual perimeter is 100 km and area of the square is 625 km²

How are the graphs of the functions y=2(2)^x and y=2(1.1)^x similar?

Answers

if the are equal then they can be similar, otherwise they are not.
Y=2(2)^x ----> y=(4)^x

Y=2(1•1)^x--> y=(2•2)^x----> y=(4)^x

The most commonly used form of markup is based on?

Answers

Best Answer is : Changing more than the cost that it took you to produce .


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Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?A. the formula for the area of a circle
B. the formula for the area of a trapezoid
C. the formula for the area of a triangle
D. the formula for the area of a rectangle

Answers

The formula for the area of a circle. Then the correct option is A.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

A. The formula for the area of a circle.

In the formula of circle, π is an irrational number, so the resulting area will be irrational.

B. The formula for the area of a trapezoid.

In the formula of trapezoid, all the value are rational number, so the resulting area will be rational.

C. The formula for the area of a triangle.

In the formula of triangle, all the value are rational number, so the resulting area will be rational.

D. The formula for the area of a rectangle.

In the formula of rectangle, all the value are rational number, so the resulting area will be rational.

Then the correct option is A.

More about the irrational number link is given below.

brainly.com/question/9466779

#SPJ5

Answer:

A: The formula for the area of a circle

Edg 2020

Find the degree of the monomial.6x^8y^5

A. 13

B. 6

C. 5

D. 8

Answers

The answer is D. 8 because this is the highest exponent of any of the variables in the equation.

Emily is three years older than twice her sister mary’s age. the sum of their ages is less than 30. let x represent mary's age. which inequality represents mary’s possible age? responses •0​

Answers

  • x < 9

Step-by-step explanation:

Let's use the information given to create an inequality for Mary's age (represented as x):

↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.

↪ The sum of their ages is less than 30, so we can write an inequality:

  • x (Mary's age) + 2x + 3 (Emily's age) < 30

Now, We can simplify the inequality:

  • 3x + 3 < 30

Subtract 3 from both sides of the inequality:

  • 3x < 27

Now, divide both sides by 3 to isolate x:

  • x < 9

So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.