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
Tpy6a [65]
3 years ago
8

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.

Mathematics
1 answer:
rewona [7]3 years ago
3 0
Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 3
Find the value of k
we have

-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k

You might be interested in
What’s the answer I really need help????
Brums [2.3K]
You should use the calculator and just plug in those numbers
5 0
3 years ago
Read 2 more answers
2) which of the following graphs have one or More solutions?
krok68 [10]
Blue I’m pretty I can’t see a picture but I’m pretty sure blue
7 0
3 years ago
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
What is 8/12 + 8/11
expeople1 [14]
The simplified answer is 46/33.
3 0
4 years ago
Write the equation of a line with a slope of -7/2 passing through the point 2,-4
fiasKO [112]

Answer:

y = -7/2x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -7/2 x+b

Substitute the point into the equation

-4 = -7/2(2) +b

-4 = -7+b

Solving for b

-4+7 = -7+b+7

3 = b

The equation is y = -7/2x+3

5 0
3 years ago
Other questions:
  • 7. The area of a square piece of cardboard is 70 cm2. What is the
    5·2 answers
  • HELP ASAP 15 POINTS
    7·1 answer
  • At an electronics store, the price of a tablet is marked down 15% to $212.50. What was the price of the tablet before the markdo
    13·2 answers
  • -(-m - 8n)<br><br> Use the distributive property to simplify
    8·1 answer
  • The numbers ordered greatest to least. One number is missing 582, 478, ?, 326, 201 which number could be missing
    9·2 answers
  • Rewrite each algebraic expression in an equivalent form with the fewest
    10·1 answer
  • ¿Cual es el resultado de 10+1?
    8·2 answers
  • In your own words what would the steps be to solve by substitution.
    15·1 answer
  • I NEED HELP ASAP
    9·2 answers
  • On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!