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
12

HELP PLEASE!!!!!!!!!!!!

Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

You might be interested in
HELP ME PLEASEEEEEEEEEE
arsen [322]

Answer:

(5,-4)

Step-by-step explanation:

Move the point T three units to the right. It's (x, y), so (5,-4) is the answer.

4 0
2 years ago
Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr
Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let M(a) = 40.8-1.1\cdot a, where a is the age of the dairy cow, measured in years, and M(a) is the predicted milk production, measured in gallons per week.

Besides, we consider a_{1} and a_{2}, such that a_{1}\ne a_{2}, we define the difference between predicted milk productions (\Delta M) below:

\Delta M = -1.1\cdot (a_{2}-a_{1}) (1)

If we know that a_{1} = 5\,yr and a_{2} = 10\,yr, then the difference between predicted milk productions is:

\Delta M = -1.1\cdot (10-5)

\Delta M = -5.5\,\frac{gal}{week}

That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.

6 0
2 years ago
Write the equation of the line parallel to<br> y=-2/3x+4 and through the point (–3, 15)
MrRa [10]
Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
15 = 2 + b, b = 13
Solution: y = -2/3x + 13
6 0
3 years ago
Read 2 more answers
Help asap im in a quiz!
goldfiish [28.3K]
The answer should be b
5 0
3 years ago
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
dexar [7]

Answer:

Answer C

Step-by-step explanation:

Formula

Volume = pi * r^2 * h

Givens

  • r = 5 cm
  • h = 12  cm

Solution

  • V = pi * 5^2 * 12
  • V = pi * 25 * 12
  • V = 300 pi

Answer = C

8 0
3 years ago
Other questions:
  • A bag of sweets contains only two different flavours - strawberry and orange The probability that a sweet is strawberry flavour
    13·2 answers
  • 0.006772 to 1 significant number
    15·2 answers
  • Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 42x - 100?
    13·2 answers
  • What is the equivalent decimal?
    12·2 answers
  • When Dylan checks their school lunch account, the
    10·1 answer
  • Cost price of an item is Rs 600. If the selling price is Rs 780, then the profit percent is​
    6·2 answers
  • Help me please ! take your time and try your best thank you!
    6·2 answers
  • If a triangle has side lengths 5 cm, 18<br> cm, and 12 cm, is it a right triangle?
    14·1 answer
  • An office supply store in Newport purchased a printer at a cost of $175 and marked it up 45%. Later on, Oliver bought the printe
    11·1 answer
  • What is the vertex of the parabola defined by the equation
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!