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
A ball is rolled at a velocity of 12m/sec.after 36 seconds,it comes to a stop what is the acceleration of the ball?
miv72 [106K]

acceleration of ball is \frac{-1}{3}\,\,m/sec^2

Step-by-step explanation:

Initial Velocity = 12m/sec

time = 36 s

Final Velocity 0 m/sec (ball comes to stop)

Acceleration= ?

The formula used to find acceleration is:

Acceleration=\frac{Final\,\,Velocity-Initial\,\,Velocity}{Time}

Putting values and finding acceleration:

Acceleration=\frac{Final\,\,Velocity-Initial\,\,Velocity}{Time}

Acceleration=\frac{0-12}{36}

Acceleration=\frac{-12}{36}

Acceleration=\frac{-1}{3}\,\,m/sec^2

So, acceleration of ball is \frac{-1}{3}\,\,m/sec^2

Keywords: Acceleration

Learn more about Acceleration at:

  • brainly.com/question/5424148
  • brainly.com/question/10764770

#learnwithBrainly

8 0
3 years ago
Which ordered pair would form a proportional relationship with the point graphed below? (60,-20)
valentina_108 [34]

Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

y\propto x

y=kx

\dfrac{y}{x}=k

Where, k is the constant of proportionality.

For the given point,

k=\dfrac{-20}{60}

k=\dfrac{-1}{3}

For option (A),

k=\dfrac{30}{-10}

k=-3\neq \dfrac{-1}{3}

For option (B),

k=\dfrac{-15}{30}

k=-\dfrac{1}{2}\neq \dfrac{-1}{3}

For option (C),

k=\dfrac{10}{-30}

k=\dfrac{-1}{3}.

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

7 0
3 years ago
Pine Bluff, Ark has been continuously declining in population at a rate of 12.5 percent due to unemployment. If
Zinaida [17]
I think it would be 3
4 0
2 years ago
Please answer this question
elena-14-01-66 [18.8K]
The area of the base (six triangles with a base 15m and a height 7.5√3m):

A_B=6\cdot\dfrac{1}{2}\cdot15\cdot7.5\sqrt3\approx585\ m^2

The area of side walls (six triangles with a base 15m and a height 12m)

A_W=6\cdot\dfrac{1}{2}\cdot15\cdot12=540\ m^2

The surface area:

A_B+A_W=585+540=1,125\ m^2



8 0
3 years ago
Which is a better relative position, a score of 83 on a geography test that has a mean of
malfutka [58]

Answer:

i dont kknow

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the value of the expression 6+18 % 3x4
    11·1 answer
  • Want points answer me question
    5·1 answer
  • Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?
    8·2 answers
  • LeBron James is a very popular professional basketball player in the US. Each game, players can commit a maximum of 666 personal
    11·1 answer
  • Can please send answers with step
    13·1 answer
  • X2 + 5x +4=0<br> How do we do this
    6·2 answers
  • Marking brainliest <br><br> How would you define surrealism? <br><br> Don’t use outside sources pls
    15·1 answer
  • What is the equation
    7·1 answer
  • How can i melt ice the fastest
    8·1 answer
  • The question has been posted below:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!