All categories

3 years ago

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

Mathematics

1 answer:

Ymorist [56]3 years ago

3 0

Answer:

2 x-intercepts if range is y < 2

Step-by-step explanation:

If this quadratic function has a range y < 2, then definitely this function can have x-intercepts at y =0, therefore there are 2 x-intercepts

However if range is y > 2, then there are 0 x-intercepts.

You might be interested in

Drag each equation to the correct location on the table.

barxatty [35]

Answer:

1) $3^{x}=2^{x} +1$ ------> 1 solution

2) $3x-2=3^{x} +1$ ------> No solutions

3) $2^{x} -1=4^{x}+3$ ----> No solutions

4) $2x+1=2^{x}$ ----> 2 solutions

5) $(1/2)x+3=3^{x}-1$ ----> 2 solutions

Step-by-step explanation:

we know that

Using a graphing tool

Verify each case

case 1) we have

$3^{x}=2^{x} +1$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=3^{x}$ -----> equation B

$y=2^{x} +1$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 1

One point of intersection

therefore

One solution

case 2) we have

$3x-2=3^{x} +1$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=3x-2$ -----> equation B

$y=3^{x} +1$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 2

No point of intersection

therefore

No solutions

case 3) we have

$2^{x} -1=4^{x}+3$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=2^{x} -1$ -----> equation B

$y=4^{x} +3$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 3

No point of intersection

therefore

No solutions

case 4) we have

$2x+1=2^{x}$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=2x+1$ -----> equation B

$y=2^{x}$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 4

Two point of intersection

therefore

Two solutions

case 5) we have

$(1/2)x+3=3^{x}-1$ -----> equation A

we know that

The equation A can be divided into two equations B and C

$y=(1/2)x+3$ -----> equation B

$y=3^{x}-1$ -----> equation C

The solution of the equation A is the x-coordinate of the intersection point graph equation B and graph equation C

see the attached figure N 5

Two point of intersection

therefore

Two solutions

7 0

3 years ago

100 points for answer. please help

MrMuchimi

Answer:

19.09

Step-by-step explanation:

4x÷3+8x÷3

4x+8x÷3×3

12x²÷6

x²=6/12

x²=3/6

3/6x²

√3/6

6 0

3 years ago

Read 2 more answers

A cylindrical tank is half full of oil The cylinder has a base radius of 100cm The height of the cylinder is 250cm 1 litre =1000

mr_godi [17]

Answer:

3,927 liters.

Step-by-step explanation:

So, in this question we are given the following parameters or information or data which is going to assist us in solving this particular Question;

=> "cylindrical tank is half full of oil."

=> "The cylinder has a base radius of 100cm The height of the cylinder is 250cm"

=> 1 litre =1000cm^3."

Therefore, the formula that we will be making use of in this question is given Below as;

=> Volume = 1/2 × height × (radius)^2 × π.

=> Volume = 1/2 × 250 × 100^2 × π.

Volume = 3926990 cm^3.

Recall that 1 litre =1000cm^3.

Hence, volume = 3,927 liters.

5 0

3 years ago

Use the discriminant to determine the type and number of solutions.

Nata [24]

The type and number of solutions is (b) two imaginary solutions.

<h3>How to determine the type and number of solutions?</h3>

The equation is given as:

3x² + 5x + 5 = 0

A quadratic equation can be represented as:

ax^2 + bx + c = 0

Where, the discriminant (d) is

d = b^2 - 4ac

So, we have

d = 5^2 - 4 * 3 * 5

Evaluate

d = -35

The value of d is negative

This means that the equation has only imaginary solutions

Hence, the type and number of solutions is (b) two imaginary solutions.

Read more about number of solutions at

brainly.com/question/25275758

#SPJ1

5 0

1 year ago

Ahab jumped 2 times in 4 minutes. at that rate, how many times would he jump in 9 hours?

jeka57 [31]

Answer: 270

Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer

7 0

2 years ago