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
Soloha48 [4]
3 years ago
6

Consider the quadratic function f(x)=2x^2-8x-10

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

f(x) = 2x² - 8x - 10.

This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:

a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex

b) for x =  2, f(x) = f(2) = - 18 (component of y of the vertex)

c) VERTEX(2, - 18)

d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144

Hope this helps! :)

You might be interested in
A particle is moving on a straight line in such a way that its velocity v is given by v ( t ) = 2 t + 1 for 0 ≤ t ≤ 5 where t is
Lady_Fox [76]

Answer:

The total distance traveled by the particle is S = 30.

Step-by-step explanation:

Given that velocity,

v(t) = 2t + 1

To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.

Integrating v(t) with respect to t, we have

s(t) = t² + t + C.

At t = 5

s(5) = 5² + 5 + C

= 25 + 5 + C

= 30 + C

At t = 0

S(0) = 0 + 0 + C

= C

The required distance is now

S(5) - S(0)

= 30 + C - C

= 30.

8 0
3 years ago
Read 2 more answers
Give that m/_ y=39, find the measures of angles a and b
Amanda [17]

Answer:

  ∠a = 39°

  ∠b = 129°

Step-by-step explanation:

Vertical angles are congruent. An exterior angle of a triangle is equal to the sum of the remote interior angles.

<h3>Application</h3>

Angle y and angle 'a' are vertical angles, so congruent.

  ∠a = ∠y = 39°

The angle marked 'b' is an exterior angle to the triangle. Its remote interior angles are 'a' and the one marked 90°.

  ∠b = ∠a +90° = 39° +90°

  ∠b = 129°

8 0
1 year ago
Read 2 more answers
this year, the winner of the new york marathon ran the 8 kilometer event in 24 minutes. what is the runners unit rate
DedPeter [7]
Based on the given situation above, the given values are 8 kilometers and 24 minutes. To simplify these values, we will come up with the result of 1 km in 3 minutes. Therefore, the winner of the New York marathon ran 0.33 kms per one minute so the runners unit rate is 0.33kms/minute. 
3 0
3 years ago
Chase buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 6 oatmeal cooki
Over [174]

Answer:

0.0652173

Step-by-step explanation:

Given that :

6 chocolate chip cookies

6 peanut butter cookies

6 sugar cookies

6 oatmeal cookies

Total number of cookies purchased = (6+6+6+6) = 24

Probability, P= required outcome /total possible outcomes

This is a selection without replacement probability problem :

P(peanut butter cookies) = 6/24 = 1/4

Then ;

P(chocolate chip cookie) = 6/23

Hence,

P(peanut butter cookies then chocolate chip cookie) = 1/4 * 6/23 = 0.0652173

4 0
3 years ago
Dolly gave Molly 6/8 packs of sweets. Molly had 18 packs of sweets. How many packs of sweets did Dolly start out with?
LenaWriter [7]
I think it is 22.5, since molly has 75% of the packs
6 0
3 years ago
Read 2 more answers
Other questions:
  • WHO DOES FLVS FLEX HIGH SCHOOL?
    9·1 answer
  • Need help with #5 please explain
    11·1 answer
  • Triangle ABC is described below. Find all possible values for B, C, and c.
    12·1 answer
  • Which of those is an example of numerical data ? A. Average speed b. Type of pet C. Favorite car d.home state
    13·1 answer
  • A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.
    11·2 answers
  • Hii please help i’ll give brainliest
    11·1 answer
  • What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?
    10·1 answer
  • U will see and plz help worth 34 points
    5·1 answer
  • Who am I?
    5·2 answers
  • 80 PTS <br> In the triangle below X=[?] cm. Round to the nearest tenth.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!