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
Fiesta28 [93]
3 years ago
15

The function h(x)=x^2+3 and g(x)=x^2-6. If g(x)=h(x)+k, what is the values of k?

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:

The value of k is -9.

Step-by-step explanation:

Let g(x) = x^{2}-6, we proceed to manipulate the expression algebraically to derive an expression equivalent to g(x) = h(x) + k, where h(x) = x^{2}+3.

g(x) = x^{2}+[(-9)+3] Definition of subtraction.

g(x) = (x^{2}+3)+(-9) Commutative and associative properties.

g(x) = h(x) +(-9)   h(x) = x^{2}+3/Result

We notice that value of k is -9.

You might be interested in
One number is bigger than other number by 3 and the sum of these two number is 43
Zepler [3.9K]
x-first\ number\\x+3-second\ number\\x+(x+3)=x+x+3=2x+3-the\ sum\ of\ these\ numbers\\43-the\ sum\ of\ these\ numbers\\\\therefore\\\\2x+3=43\ \ \ \ |subtract\ 3\ from\ both\ sides\\2x=40\ \ \ \ \ |divide\ both\ sides\ by\ 2\\x=20-first\ number\\x+3=20+3=23-second\ number\\\\Answer:\boxed{20\ and\ 23}
7 0
3 years ago
Read 2 more answers
Please help me please
yan [13]

7.50 times hours would be her pay then add the bonus x number of bouquets 

a = 7.50h +(bn)
6 0
3 years ago
D (3) (-9) = .<br> H-24 = 4 =
Softa [21]

Answer:

r u trying to look for the values of D and H?

D (3)(-9) = 0

D -27 = 0

D = 27

H - 24 = 4

H = 4 + 24

H = 28

7 0
3 years ago
In the diagram, point X is the centroid. If<br> EX=8, what is the length of XC ?
Phoenix [80]

Answer:

16

Step-by-step explanation:

If X is the centroid that means that EC is a median along with the other lines that intersect inside the triangle. Medians drawn from a triangle have a special rule; this rule is that all medians have a 2:1 ratio between the different sections of one median. For example, EC is one median with the two sections XC and EX. Therefore XC and EX have a 2:1, with the 2 representing the longer section closest to the vertex. This means that XC is double EX, so to find XC simply double EX measurement, which is 8. So XC must equal 16.

7 0
2 years ago
Solve the equation. Check the solution -4/x+1 = -1/x+5
boyakko [2]
The answer to this equation is x= -19/3
4 0
3 years ago
Read 2 more answers
Other questions:
  • HELP!!!! this is very confusing I understand but I can't find the mistake or the right quotient.
    11·1 answer
  • A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich
    8·1 answer
  • What is the area of a triangle with the perimeter of, 15cm, 19cm, and 12cm?
    11·1 answer
  • John rode 2 kilometers on his bike. His sister Sally rode 6,000 meters on her bike. How many more kilometers did Sally ride?
    11·2 answers
  • 1. a white candle has a circumference of 18.8 inches. what's the radius?
    10·1 answer
  • Abishola has an overall GPA of 2.7 over her first three years with 90 credits. She is taking 30 credits her senior and wants her
    13·1 answer
  • He currently has 13 gallons of gas in his car. Each hour that he drives, his car uses up 1.25 gallons of gas. How much gas would
    14·2 answers
  • Solve for a.<br> ab+c=d<br> a =<br> b<br> (c-d)<br> Oa- (d-c)<br> b<br> oa=b+ с
    11·1 answer
  • What is the reciprocal of 3 and 3/7
    14·2 answers
  • Write an algebraic expression for the following phrases.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!