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
Kazeer [188]
3 years ago
14

The function g is defined by g(x)=9k−4, where k is a constant. Find k, if the graph of g passes through the point (7,−2).

Mathematics
2 answers:
Tomtit [17]3 years ago
7 0
<span>given g(x)=9k−4 and </span><span>g passes through the point (7,−2)

substiting g(7) = 9*k - 4 = -2

so 9*k = -2 + 4 = 2

k = 2/9 or 0.22</span>
Nutka1998 [239]3 years ago
3 0

Answer: k=\dfrac{2}{9}

Step-by-step explanation:

Given : The function g is defined by g(x)=9k-4, where k is a constant.

If the graph of g passes through the point (7,−2), then at x=7 , the value of g should be -2.

So substitute x=7 then g(7)=-2.

Consider g(7)=9k-4

\Rightarrow\ -2=9k-4

Adding 4 on both sides , we get

\Rightarrow\ 9k=2

Dividing both sides  by 9 , we get

k=\dfrac{2}{9}

Hence, the value of k=\dfrac{2}{9}.

You might be interested in
Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat
zhenek [66]
Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43
8 0
3 years ago
Enter the explicit rule for the sequence
Softa [21]
Let's take a look at the first few numbers in the sequence based on the given rule:

a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)

Inspecting this pattern it seems like the power \frac{1}{4} is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be \big(\frac{1}{4} \big)^{n-1}. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

a_n=6\big( \frac{1}{4} \big)^{n-1}

Where a_n is the nth number in our sequence.
8 0
3 years ago
Pythagorean Theorem.....​
pentagon [3]

Step-by-step explanation:

the specific gravity of honey is 1.43. a vat of honey 10 feet deep is inside a dome pressurized to 0.05 atmospheres on the surface of pluto. the total pressure at the bottom of the tub is 7,930 pa. what is the gravitational acceleration of pluto in m/s2

5 0
3 years ago
13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

4 0
3 years ago
How big is earth compared to Jupiter
Mashutka [201]
Jupiter has a diameter of about 88,695 miles (142,800 kilometers) which is more than 11 times the diameter of Earth. It’s volume is over 1,300 times the volume of Earth. This mean that Jupiter is so big that over 1,300 Earth could fit inside of it.
5 0
3 years ago
Other questions:
  • Calculate (full working required)<br><br> 2.43 x 4 =
    15·1 answer
  • 7x²x + 3x3 – 2x²(x² + 2x - 1)​
    15·1 answer
  • HELPPPPPPPPPPPPPPPPPPPPPPPP
    13·2 answers
  • Slove x^2-8x=20 by completing the square. which is the solution set of equation?​
    5·1 answer
  • A store plans to sell two different game consoles, the YuuMi and the ZBox. The store’s wholesale cost for a YuuMi is $250, and t
    6·1 answer
  • You've been hired to plan a New Year's Eve party at the Governor's Mansion. The Mansion Charges: $1, 250 plus $20 per person.
    5·1 answer
  • The base of a triangular prism is a right triangle whose legs are 9 cm and 12 cm. The height of the prism is 33 cm. What is the
    15·1 answer
  • Charles has 9 times as many red marbles as blue marbles.
    11·1 answer
  • Create a proportion using the form = to represent the following word problem.
    13·2 answers
  • What is the angle that corresponds to the angle abc​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!