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
vladimir2022 [97]
3 years ago
10

Find the smallest zero of f(x+5)

Mathematics
2 answers:
podryga [215]3 years ago
7 0

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

f(x) =  {x}^{2}   + 3x  - 10

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

f(x) =  {(x + 5)}^{2}   + 3(x + 5) - 10

Expand:

f(x) =   {x}^{2}    + 10x + 25+ 3x + 15- 10

Simplify to obtain

f(x) =   {x}^{2}    + 13x + 30

We now compare with,

f(x) =   {x}^{2}    + kx + 30

This implies that:

k = 13

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

{x}^{2}    + 13x + 30 = 0

{x}^{2}   + 10x + 3x + 30 = 0

x(x + 10) + 3(x + 10) = 0

(x + 3)(x + 10) = 0

x =  - 10 \: or \: x =  - 3

The smallest zero is -10.

Mariulka [41]3 years ago
4 0

Answer:

k=13 while x =-10 :)

Step-by-step explanation:

You might be interested in
The numbers of bags of crisps sold per day in a general shop was recorded over 13 days.
Alona [7]

I just figured it out so I’ll answer it on this account lol.

Q1 = 32, Q2 = 45, Q3 = 52

Interquartile range = 52 - 32 = 20

Range = 68 - 21 = 47

6 0
2 years ago
Y=-4x-7, x+y=2 please help rn
Mashcka [7]
Use substitution
x -4x - 7 = 2
-3x = 9, x = -3
Y = -4(-3) - 7
Y = 12 - 7, y = 5
Solution: x = -3, y = 5
5 0
3 years ago
Read 2 more answers
Math work pls help :)​
solong [7]

Answer:

the theorum used here is sas one

8 0
2 years ago
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
faust18 [17]

Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

8 0
2 years ago
Help plz 5 or 3 pts or 10 isk :)
notka56 [123]

The solution is X=10.

8 0
3 years ago
Other questions:
  • If 22x = 23, what is the value of x?<br> -1/2<br> -1/4<br> 1/4<br> no solution
    11·1 answer
  • What are the variables in this expression? f+2g+h/4-7.1 f and g only
    14·2 answers
  • Write f(x)= 8x^2–4x +11 in vertex form.
    10·2 answers
  • Use the following conditional:
    10·1 answer
  • a salesperson receives a 2.5% commission on sales. what commission does the salesperson receive for $8000 in sales?
    9·1 answer
  • A student is conducting a research project that involves using a survey. The survey asks subjects about their political affiliat
    7·1 answer
  • Female athletes receive 25
    14·1 answer
  • Plz answer this question​
    9·1 answer
  • Angle ABF is 77
    11·1 answer
  • B=3 V/h<br> I’m supposed to solve the question for V.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!