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
shusha [124]
2 years ago
6

What is the equation of this graph

Mathematics
1 answer:
Soloha48 [4]2 years ago
5 0

Answer:

Step-by-step explanation:

hello :

an equation of this graph is : f(x) = a(x-h)²+k when (h,k) the vertex

so : h=5 and k= -4

f(x) = a(x-5)²-4....... now calculate : a

the y- intercept is :  - 6.5 means : f(0) = - 6.5

put x=0 and f(x) = - 6.5

you have : -6.5 = a(0-5)²-4

-6.5 = 25a - 4

25a = -2.5   so : a= -2.5/25= 1/10

the equation is :

<h2>f(x) = (1/10)(x-5)²-4</h2>
You might be interested in
What is the common denominator of 2/9 and 2/3
GREYUIT [131]

Answer:

9

Step-by-step explanation:

You can convert 2/3 to 6/9 by multiplying the numerator and denominator by 3, so that both fractions could have the same denominator

6 0
3 years ago
Read 2 more answers
$29,000;$4 decrease find the new amount given the original amount and the percent of change.
stellarik [79]
$1 - (28,996/29,000) = 0.000138
0.0138%
7 0
2 years ago
What is y= 29/5x as a rate of change
mylen [45]
The rate of change is -29/5x^2
8 0
3 years ago
Read 2 more answers
A holiday meal cost 12.50 a person plus a delivery fee of $30 at we cater. The same meal cost $15 a person with no fee at Good E
4vir4ik [10]

Given :

A holiday meal cost 12.50 a person plus a delivery fee of $30 at we cater.

The same meal cost $15 a person with no fee at Good Eats.

To Find :

When does we cater become the better deal.

Solution :

Let , x is number of order .

Cost at cater , C = 12.5x + 30 .

Cost at Good Eats , G = 15x .

We need to find :

G > C

15x>12.5x + 30\\\\2.5x>30\\\\x>12

Therefore, after 12th order cater will be more value for money.

Hence, this is the required solution.

3 0
3 years ago
Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

  • let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

  • the first equation can be written as y=5-2x
  • the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

  • now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
  • the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
  • now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

  • by seeing the graph, the value of x is 2.625.

3 0
2 years ago
Other questions:
  • Write each number in scientific notation 1 27.5
    7·2 answers
  • The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members wi
    15·2 answers
  • What is the sum of this arithmetic series?
    6·2 answers
  • Please help me with this!
    13·2 answers
  • Simplify negative 9 over 6 divided by 3 over negative 2. . (5 points) a 3 b 1 c −1 d −3
    5·1 answer
  • Please solve <img src="https://tex.z-dn.net/?f=18%5E2%5Ex%5E-%5E1%3D100" id="TexFormula1" title="18^2^x^-^1=100" alt="18^2^x^-^1
    14·1 answer
  • What is the middle value of the following data set? 33, 36, 24 31, 39,44,32
    12·1 answer
  • Question 6<br> 10 pts<br> Simplify 9 - (-4)=<br> 13<br> O-13<br> O 5<br> O-5
    12·2 answers
  • Devaughn is 7 years older than Sydney. The sum of their ages is 99. What is Sydney's age?
    13·1 answer
  • The cost for renting a truck for one day is $19.95 and has a rate of$0.50 per mile. Write a function rule to model the cost of r
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!