1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erica [24]
3 years ago
7

The graph of a quadratic function f(x) intersects the x-axis At -3 and 5. Create a function that would produce these results.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

f(x) = x² - 2x - 15

Step-by-step explanation:

∵ The function intersect x-axis at -3 and 5

∴ f(x) = 0 at x = -3 , 5

∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0

                                                                       ax² - b/a x + c/a = 0

Where the sum of its roots is b/a and their multiplication is c/a

∵ a = 1

∵ -3 , 5 are the roots of the quadratic equation

∴ b = -3 + 5 = 2

∴ c = -3 × 5 = -15

∴ f(x) = x² - 2x - 15

You might be interested in
A refrigerator cools a bottle of water 2 degrees per minute. how many minutes will it take to lower its temperature from 90 degr
HACTEHA [7]
<span>It will take 20 minutes. The fridge needs to cool down by 90-50=40degrees. The fridge cools at 2 degrees per minute, i.e. 40/2=20 minutes total.</span>
8 0
2 years ago
Can y’all try to solve some of these for me?
RoseWind [281]

Answer:

The 3rd problem on mondays answer is 2:1

The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.

The 5th problem on monday is 41

The 6th problem on monday is 13,12,11

Can't read the whole problem for the 7th question on monday

the 8th problem on monday is 55 and 8/15

That is the answers for monday hope this helps

Step-by-step explanation:

7 0
2 years ago
A dolphin is swimming 4 feet below the surface of the water. the number -4 represents the dolphins position relative to the surf
IRISSAK [1]
Answer: option B. 4 feet above water.

Explanation:

This is an example of the use of the integer numbers.

Integer numbers are positive, zero and negative numbers.

In this case, zero is used to represent the surface of the water. So, any positive number will be the position above water and any netative number will be the position below water. That is why, while - 4 represents the position of the dolphin below water, 4 represents the position 4 feet above water.
6 0
3 years ago
PLEASE HELP????!!!!?!!!!!!1
anzhelika [568]

Answer:

Solve the resulting equation for x

3 0
2 years ago
PLS HELP! Which statement is true about the given function?
marishachu [46]

The statement which is true about the given graph is  that f(x)<0 in the interval (-∞,3) which is option 3.

Given Graph of a function

We have to choose a statement which is correct about the function whose graph is given.

The graph of a function tells us about the domain and range of the function. The values on y axis are the codomain of the function and the values on x axis are the values of domain.

When we see the graph we can find that x=-∞ to x=3 the values are negative means when we put the values of x less than 0 we will get negative number. For example if we put the value of x=-1, we will get -20 which is a negative number.

Hence the third statement is true for the given graph which is that it has values less than zero in the interval (-∞,3).

Learn more about function at brainly.com/question/10439235

#SPJ10

4 0
2 years ago
Other questions:
  • It is important to keep the same tense in your business writing, because otherwise your readers may ______.
    7·2 answers
  • Plastic cups come in packages of twenty-four, and straws come in packages of twenty. If you want to end up with the same total n
    7·2 answers
  • Simplify.<br><br> 8r(4 - p)<br><br> 32r -p<br> 32r - 8rp<br> 32 - rp<br> 4 - 8rp
    5·2 answers
  • Solve the literal equation for y.<br><br> 2x+5y = 3y+8
    6·1 answer
  • Complete the pattern and find the rule 87,91,95,99,___,___, ___
    8·2 answers
  • Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’
    10·1 answer
  • Help pleaseeeeeeeeeee
    11·2 answers
  • A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
    7·1 answer
  • Select the correct answer. Which function is the inverse of f(x) = -x3 − 9? A. B. C. D.
    12·2 answers
  • Question 10<br> Divide £64 in the ratio 3:5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!