All categories

2 years ago

How many times does the quadratic function below intersect the x-axis?y=x^2+10x+25

Mathematics

2 answers:

Goryan [66]2 years ago

7 0

To find how many times the quadratic function intersects the x-axis, set y = 0

y = x^2+10x+25
0 = x^2+10x+25
Factor the right hand side
0 = (x+5)(x+5)
x + 5 = 0
x = - 5

Therefore, the quadratic equation intersects the x-axis at one point (x = -5)

andrezito [222]2 years ago

4 0

Answer:

A. 1

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x.

x-intercept(s): (-5,0)

Considering (-5,0) is the only intersection on the x-axis, 1 is your answer.

If you want a visual of this, I recommend you use the Desmos graphing calculator to input your equation. It will show you what the curved line looks like.

You might be interested in

Grayson was given a large box of 42 chocolates for his birthday. If he eats exactly 2 chocolates each day, how many chocolates w

Kisachek [45]

Answer: 11.5

Step-by-step explanation:

15 + 2x = 42

-15 -15

----- -----

2x = 23

----- ------

2 2

x = 11.5

4 0

2 years ago

Read 2 more answers

An analyst for a new company used the first three years of revenue data to project future revenue for the company. The analyst p

Westkost [7]

Using limits, it is found that since $\lim_{x \rightarrow \infty} f(x) < 0$ , the company is expected to operate at a loss, hence it is not expected to be successful.

The revenue function is given by:

$f(x) = -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50$

<h3>Limit:</h3>

The projected revenue over the long-term is given by the limit of f(x) as x goes to infinity.

Then:

$\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50 = \lim_{x \rightarrow \infty} -2x^5 = -2(\infty)^5 = -\infty$

Since the limit is negative, the company is expected to operate at a loss, hence not being successful.

To learn more about limits, you can take a look at brainly.com/question/24821129

3 0

3 years ago

Aston challenges his fater to a 100-m race. Aston asks to race again but wants to be given a head start. How much of a start sho

photoshop1234 [79]

Ah hah ! You said in there "race AGAIN". Tell us something about how the first race turned out, and we may have some information we can use to answer with. Right now we got nuttn.

7 0

4 years ago

Molli purchased 7 apples for $3.96. while looking at her receipt, molli divided $3.96 by 7. why might molli perform this calcula

BigorU [14]

D) in order to find out how much she paid per apple

7 0

3 years ago

Read 2 more answers

Or Classroom Partner

meriva

$137.5 is the money does Nancy have.

<u>Step-by-step explanation:</u>

The given information are,

Steve has a total money = 55
Nancy has a money = 250% as much money as Steve.

We know that, from the given data the money that Steve has is 55.

This means that, Nancy has money = 250% of 55.

Let us assume,

x be the total money that Nancy have.

Therefore, x = 250% of 55.

The percentage can be represented as 1 divided by 100.

⇒ x = (250 × 1/100) × 55

⇒ x = 2.5 × 55

⇒ x = 137.5

The money does Nancy have is 137.5

3 0

4 years ago

How many times does the quadratic function below intersect the x-axis?y=x^2+10x+25​

How many times does the quadratic function below intersect the x-axis?y=x^2+10x+25