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
nikklg [1K]
3 years ago
13

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k2-21/2-1/2

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0

Answer:

Step-by-step explanation:

Using the graph we can notice something

let's take the abscissa  -2 and -4

  • the ordinate that goes with -2 using g is 0
  • the ordinate that goes with  -4 using f is 0

so we can say that :

f(-4)=g(-2)

wait we khow that g(x)=f(k*x)

so x= -2 then let's replace it in the expression : f(k*x)

we get f(-4)=g(-2)=f[k*(-2)]

let's solve the equation: -2k = -4

                                               k = -4/-2

                                                k=2

so finally we get k=2

let's check :

from the graph we get :

  • f(-2)=2
  • g(-1)=2

we have (-1)*2 = -2

so it is true

You might be interested in
Anyone know the answer?
OLga [1]
3. Both are supplementary to angle BCE
4. Angle 2 = Angle 1
8 0
3 years ago
According to the diagram, which are congruent? Check all
adell [148]
I believe it’s AB AND DF, ZBAC = ZDEF
4 0
3 years ago
Factor 9x^2+66xy+121y^2
Korvikt [17]
Answer: (3x + 11y)^2

Demonstration:

The polynomial is a perfect square trinomial, because:

1) √ [9x^2] = 3x

2) √121y^2] = 11y

3) 66xy = 2 *(3x)(11y)

Then it is factored as a square binomial, being the factored expression:

 [ 3x + 11y]^2

Now you can verify working backwar, i.e expanding the parenthesis.

Remember that the expansion of a square binomial is:

- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2

=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.

7 0
3 years ago
if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1​
BlackZzzverrR [31]

Step-by-step explanation:

the answer is in the above image

5 0
2 years ago
Select all the expressions that are equivalent to -36x+54y−90.
CaHeK987 [17]

Answer:

b) -18(2x -3y + 5)

d) 18(-2x + 3y - 5)

e) -2(18x - 27y + 45)

Step-by-step explanation:

a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal

b) -18(2x - 3y + 5) = -36x + 54y - 90 equal

c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal

d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal

e) -2(18x - 27y + 45) = -36x + 54y - 90 equal

f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal

7 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Eric has $115 to spend on back to school clothes. So far, he has spent $90. Write an inequality to show how much more money E
    5·1 answer
  • Help me please ......,,,,
    5·2 answers
  • Cot(45-A)=tan2A+ sec2A​
    11·1 answer
  • david has 12 baseball hats. david and his brothers have more than 19 hats combined. how many hats could david’s brothers have?
    8·1 answer
  • Please help me.
    14·1 answer
  • A company that makes​ hair-care products had 8000 people try a new shampoo. Of the 8000 ​people,24 had a mild allergic reaction.
    6·1 answer
  • What is the answer?❤️
    15·1 answer
  • Will give brainiest for this
    5·1 answer
  • Slope of (-2,6) (-5,-4)
    14·2 answers
  • A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!