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
Tems11 [23]
3 years ago
11

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

Mathematics
2 answers:
kaheart [24]3 years ago
8 0

Answer:

\large\boxed{x\in[-5,\ \infty)}

Step-by-step explanation:

f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.

klio [65]3 years ago
6 0

Answer:

B.(-5,∞)

Step-by-step explanation:

You might be interested in
Please help soon I need it​
Gekata [30.6K]

Answer:

ok

Step-by-step explanation:

4 0
3 years ago
Which expression 3- (-5) ?<br><br><br><br> Plz help me i need this
Anarel [89]

i believe that equals 8,if i am wrong,i am sorry  

8 0
3 years ago
Read 2 more answers
Daniel buys a block of clay for an art project. The block is shaped like a cube with edges lengths of 10 inches. Daniel decides
Andre45 [30]

Answer:

=14.92...

14 the maximum number of spheres that Daniel can make from the chunk of clay.

.

Step-by-step explanation:

10^3=1000 in^3

1000/2=500 vol of one congruent chunk.

4/3 * pi * r^3 = vol of a sphere

500/(4/3 * pi * 2^3)

=14.92...

5 0
2 years ago
On a map, two cities are 4 and 1/4 inches apart. The scale of the map is 1/2 inch = 3 miles. What is the actual distance between
garik1379 [7]

Answer:

25,5 miles

Step-by-step explanation:

4.25 inch on map

4.25/0.5 = 8,5

8,5 * 3 = 25,5 miles

4 0
3 years ago
sarah competes in a long jump competion. her first jump is 4.25m. her best jump is 12% more than this. however, her best jump is
maxonik [38]
Best jump=4.25+0.12(4.25)=4.76
best jump=75% of winning jump
Winning jump=4.76/75×100=6.35m
5 0
3 years ago
Other questions:
  • Did you get the answer to this question
    10·2 answers
  • A baker purchased 10 lb of wheat flour and 13 lb of rye flour for a total cost of $17.40. A second purchase, at the same prices,
    11·1 answer
  • Completes the equation 26×72=_+40+420+12
    15·2 answers
  • A number is multiplied by 5 and the results is twice the number added to 2 find the number<br>​
    12·1 answer
  • Is x^2+y^2=16 a function
    6·1 answer
  • A study studied the birth weights of 1,600 babies born in the United States. The mean weight was 3234 grams with a standard devi
    7·1 answer
  • What is 11.25 as a fraction?
    13·1 answer
  • Help please ASAP thank you!! your awesome if you help
    9·1 answer
  • 9x^2+ 8x + 3 = 0 solve using quadratic formula
    12·1 answer
  • − <br> 1<br> ​ <br> + <br> −81<br> ​ <br> − <br> 16<br> ​ <br> − <br> −1<br> ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!