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
gregori [183]
3 years ago
11

The function F is defined by F(x)=x^2+3X-10

Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0

Answer:

k = 13

smallest zero = -6

Step-by-step explanation:

f(x) is basically the function of x.

x could be any integer. f(x) is the solution of the function of x.

f(x) is defined as x² + 3x - 10

f(x) = x² + 3x - 10

Now, f(x+5) = x² + kx + 30

This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.

f(x) = x² + 3x - 10

f(x+5) = (x+5)² + 3(x+5) - 10

f(x+5) = x² + 10x + 25 + 3x + 15 - 10

f(x+5) = x² + 13x + 40 - 10

f(x+5) = x² + 13x + 30

x² + 13x + 30 = x² + kx + 30

hence, k = 13

Smallest zero = The smallest x value.

f(x+5) = x² + 13x + 30

Let's take f(x+5) = 0

x² + 13x + 30 = 0

which two numbers products give us 30 and add up to 13?

== 6 and 5

(x+6)(x+5) = 0

x+6 = 0

x = -6

x+5 = 0

x = -5

The two solutions are -6 and -5

The smallest out of these two is -6.  

You might be interested in
Can someone plz help me with this one problem plzzzzz!!!!
Alinara [238K]
Again lol yes the answer is yea
7 0
3 years ago
Read 2 more answers
I forget how to turn fractions into percent
Illusion [34]
<span>Divide the top of the fraction by the bottom,t<span>hen multiply your answer by 100</span></span>
3 0
3 years ago
put the following decimals in order of size, starting with the one of least value 0.125 0.4 0.62 1.05 0.05
xeze [42]

Answer:

0.05, 0.125, 0.4, 0.62, 1.05

Step-by-step explanation:

8 0
3 years ago
Jose can read 7 pages of his book in 5 minutes. At this rate, how long will it take him to read the entire 175 page book?
il63 [147K]
125 minutes, or 2 hours and 5 minutes.

\frac{5}7 = \frac{x}{175}
cross multiply
5*175=7x
875=7x
\frac{875}7=x
125=x
5 0
3 years ago
Read 2 more answers
42 divided by 6 plus 5 by the power of 2
Degger [83]
The answer would be 144 :)
3 0
2 years ago
Read 2 more answers
Other questions:
  • Quadrilateral ABCD is inscribed in a circle. Find the measure of each angle of the quadrilateral.
    9·1 answer
  • What are the common factors of 15,45 and 90
    6·1 answer
  • 3O POINTS!! AND I WILL MARK THE BRAINLEST ANSWER EVER PLZ HELPP MEEE
    7·1 answer
  • 5x - 6 = -16 (Show work)
    10·1 answer
  • Simplify the following expression 21(×-4)+2
    7·1 answer
  • Haala buys 13 identical shirts and 22 identical ties for 363.01.. The cost of a shirt is 15.35. Find the cost of a tie
    8·1 answer
  • I need to find the zeros of the function, please
    8·1 answer
  • A = bh <br> Solve for b: <br><br><br><br> I will give brainliest
    6·1 answer
  • F(x)=3x-1 and g(x)=x+2 find (f+g)
    8·1 answer
  • Simplify the expression<br><br> -4 + 3 + 5 =
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!