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
Mama L [17]
3 years ago
6

What is vertex of x^2+5x-3

Mathematics
1 answer:
Art [367]3 years ago
6 0

\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}

\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25

\text{Answer: the vertex is in}\ (-2.5;\ -9.25)

You might be interested in
A construction company buys a bulldozer for $26,000. The company expects the useful life of the machine to be 12 years, at which
ValentinkaMS [17]

Answer:

  11.5%

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  r = 1 - (6000/26000)^(1/12) = 1 -(3/13)^(1/12) ≈ 1 -0.88498 ≈ 11.5%

The company used a depreciation rate of 11.5%.

5 0
3 years ago
Ron can make 12 benches in 6 days. At that<br> rate, how many benches can he make in<br> 30 days?
Alchen [17]

Answer:

60

Step-by-step explanation:

ratio: 12/6 =1/2 x/30=1/2 x=60

6 0
3 years ago
PLZ HELP PICKING BRAINLIEST <br><br> A = 3,7 and B= -4,0 <br><br> Find AB in simplest radical form
joja [24]

Answer:

AB = 7√2

Step-by-step explanation:

if a(x1,y1) and b(x2,y2) then

ab =  \sqrt{ {(x1 - x2)}^{2}  +{(y1 - y2)}^{2}}

Based on your points and on the formula above AB is:

\sqrt{ {(3 - ( - 4))}^{2} +  {(7 - 0)}^{2}  }  \\  \sqrt{ {(3 + 4)}^{2}  +  {7}^{2} }  \\  \sqrt{ {7}^{2} +  {7}^{2}  }  \\  \sqrt{2 \times  {7}^{2} }  \\ 7 \sqrt{2}

5 0
3 years ago
7. Are the two lines parallel, perpendicular, or neither? Explain your answer. Show work needed to answer the
kiruha [24]

Answer:

The lines are perpendicular

Step-by-step explanation:

5 0
3 years ago
4 pieces of wood each 11 and a half inches long are required to build a cabinet. If all four pieces are cut from one board and 1
mariarad [96]
Ok first we calculate the length of board without losses:
4 * 11.5 = 46 inches
then, we have 1 inch of waste allowed fir each piece, so the total waste is 4*1 = 4 inches

finally, we will add the length of the waste to the desired length to get the total length of the board as follows:
total length of board = 46+4 = 50 inches
3 0
3 years ago
Other questions:
  • Find the width of a rectangular prism when the surface area is 208 square centimeters -H=8cm,L=6cm
    8·2 answers
  • Find the value of Q in the following system so that the solution to the system is ....
    14·1 answer
  • If you take 3 by 2 what do you get
    10·1 answer
  • Can someone please help me with #26 ASAP.. It is due tomorrow.. Please help ASAP
    6·1 answer
  • Help me on these questions it's 15points
    6·2 answers
  • A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)
    5·1 answer
  • Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
    8·2 answers
  • Volume problem. Will give brainliest
    9·1 answer
  • Which representation shows y as a function of x?
    7·2 answers
  • A tanning salon opens with 50 members. Each month the membership increases by 10 members. Write an equation that represents the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!