The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?

Answers

Answer 1

Answer:

The number of x-intercepts of the function are:

Two(2)

Step-by-Step explanation:

The domain of a quadratic function is all real numbers and the range is y ≤ 2.

i.e. the graph of this quadratic polynomial will be a downward parabola whose vertex has y-coordinates less than or equal to 2.

Also we know that any upward or downward facing parabola have two x-intercepts i.e. the parabola crosses the x-axis at two points i.e. the y-coordinates of those two points are zero.

Hence, the number of x-intercepts of the function is:

Two(2)

Answer 2

Answer:

Answer:

2 just took it :)

Step-by-step explanation:

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If a square has an area of 81 square units how long is each side?

Answers

$A=81 \n \n A = s^2 \n \n s^2 = 81 \n \ns=√(81) \n \ns= 9 \n \n Ansewr : \ each \ side \ is \ 9 \ units \ on \ each \ side$

I need this answered ASAP

Answers

1. 1 1/8= 18/16

5/16*2= 10/16

4/16*2= 8/16

9/16= 9/16

1/2= 8/16

18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16

Simplify:

4 & 5/16sq ft

Problem Solving 11. Write the standard form and word form for the decimal represented by 700+40+06+0.08 +0.006. What is the relationship between the values of the two 6s? 12.

Answers

The standard form and word form for the decimal represented by 700 + 40 + 06 + 0.08 + 0.006 are as follows:

Standard Form: 746.086

Word Form: Seven hundred forty-six and eighty-six thousandths

➥The relationship between the two 6s in the decimal 746.086 is that they represent different place values. The first 6 is in the tens place, representing 60, and the second 6 is in the thousandths place, representing 0.006. They are separated by three place values, which are hundreds, tenths, and hundredths.

Answer:

Certainly! Let's work on both problems:

**Problem 11:**

Write the standard form and word form for the decimal represented by 700 + 40 + 06 + 0.08 + 0.006.

Standard Form: The standard form of a decimal involves adding all the numerical values together.

Standard Form: 700 + 40 + 06 + 0.08 + 0.006 = 746.086

Word Form: The word form of the decimal is how you would say the number in words.

Word Form: Seven hundred forty-six and eighty-six thousandths.

Relationship between the two 6s: Both "06" and "0.006" represent the same value of six thousandths (0.006). They both contribute to the total value of the decimal.

**Problem 12:**

You haven't provided a specific problem or question for number 12. If you have another question or need assistance with something else, please feel free to ask, and I'll be happy to help.

Prove that 2x^2+x+8>0 for all real values of x.

Answers

$y = 2x^2 + x + 8$ is a polynomial of even degree, with a positive $x^2$ coefficient, meaning that
- it will have exactly one turning point
- that turning point will be a minimum

So, if the y-coordinate of the turning point is positive, then this polynomial will be positive for all real values of x.

At a turning point, the gradient of y will be equal to 0. The gradient of y is given by
$\frac{\mathrm{d}y}{\mathrm{d}x} = 4x + 1$ .

To find the turning point, set this equal to 0 and solve for x:
$4x + 1 = 0 \implies x = -(1)/(4)$ .

Substituting this value into the equation gives
$y = 2(-(1)/(4))^2 + (-(1)/(4)) + 8 = (1)/(4) - (1)/(4) + 8 = 8 \ \textgreater \ 0$ .

Since the minimum point of the equation is greater than 0, the equation will be greater than 0 for all real values of x.

PLEASE HELP!!!!Solve the compound inequality for x and identify the graph of its solution.
4xs-16 or 3x + 5 2 17

Answers

The solution of the compound inequality 4x ≤ -16 or 3x + 5 ≥ 17 is x ≤ -4 or x ≥ 4 and graphed in option (B).

What is inequality?

Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation. Essentially, comparing any two values shows whether one is smaller, greater, or equal to the value on the other side of the equation.

Given the first inequality,

4x ≤ -16

Dividing 4 both sides

x ≤ -4

Second inequality,

3x + 5 ≥ 17

Subtract 5 on both sides

3x ≥ 12

Divide 3 both side

x ≥ 4

So,

x ≤ -4 or x ≥ 4

Hence "The solution of the compound inequality 4x ≤ -16 or 3x + 5 ≥ 17 is x ≤ -4 or x ≥ 4".

For more about inequality,

brainly.com/question/20383699

#SPJ2

Answer:

Step-by-step explanation:

Two angles in a triangle add up to 85 degrees what is the size of the third angle

Answers

all of the angles in a triangle should add up to 180 degrees so if you know 2 out of three you just do subtract 180 by the sum of the two angles.
180-85=95

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