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
dsp73
3 years ago
13

Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.

Mathematics
1 answer:
Blizzard [7]3 years ago
7 0

First,

We are dealing with parabola since the equation has a form of,

y=ax^2+bx+c

Here the vertex of an up - down facing parabola has a form of,

x_v=-\dfrac{b}{2a}

The parameters we have are,

a=-5,b=-10, c=6

Plug them in vertex formula,

x_v=-\dfrac{-10}{2(-5)}=-1

Plug in the x_v into the equation,

y_v=-5(-1)^2-10(-1)+6=11

We now got a point parabola vertex with coordinates,

(x_v, y_v)\Longrightarrow(-1,11)

From here we emerge two rules:

  • If a then vertex is max value
  • If a>0 then vertex is min value

So our vertex is minimum value since,

a=-5\Longleftrightarrow a

Hope this helps.

r3t40

You might be interested in
What fraction is bigger 1/4 or 16 1/3
Evgen [1.6K]
16 1/3 is bigger than 1/4
5 0
3 years ago
You are given an n×n board, where n is an even integer and 2≤n≤30. For how many such boards is it possible to cover the board wi
faltersainse [42]

Answer:

  7

Step-by-step explanation:

The number of cells in a tile is 4. If colored alternately, there are 3 of one color and 1 of the alternate color. To balance the coloring, an even number of tiles is needed. Hence the board dimensions must be multiples of 4.

In the given range, there are 7 such boards:

  4×4, 8×8, 12×12, 16×16, 20×20, 24×24, and 28×28

3 0
3 years ago
What's the answer for each to get 30 points!
MAVERICK [17]

Answer:  "greater than" for each of the 4 dropdown menus

======================================================

Explanation:

Divide each value in the table by 40

You should get:

  • Horse = 15/40 = 0.375
  • Cow = 12/40 = 0.300
  • Sheep = 14/40 = 0.350
  • Pig = 19/40 = 0.475

Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"

-----------

Here's another way to see why this is:

If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.

6 0
3 years ago
Which of the following is an equation of a oine parallel to the equation y=-5x-1
yuradex [85]

Answer:

y = - 5x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 5x - 1 is in this form

with slope m = - 5

• Parallel lines have equal slopes

The only equation from the list with m = - 5 is

y = - 5x + 3


4 0
3 years ago
(x - 8) + 33 = 180<br>how would i find x ?​
andrew11 [14]

Answer:

X = 155

Step-by-step explanation:

You subtract 180 and 33 to get 147 and add 8 to that and you get 155 as your answer

8 0
3 years ago
Read 2 more answers
Other questions:
  • What’s 2(x+6)= <br><br> Somebody plz plz plz help ASAP !!!
    10·2 answers
  • CAN SOMEONE HELP ME WITH THIS PROBLEM URGENT 5 STAR RATING AND BRAINLY IF SOLVED!
    9·1 answer
  • What is the domain of the function shown on the graph?
    8·1 answer
  • 64x + 16 what does the x stand for
    5·2 answers
  • Rob is setting up a model train track that is 3 3/8 feet long no telephone pole is needed at the start of the track. However alo
    8·1 answer
  • 220 students went on a field trip. eight buses were filled and 4 students traveled in car. how many students were in each bus?​
    11·1 answer
  • Hello. Ik im going to get a warning for this and it will get reported but, I DO have a question. Do u think my math teacher will
    8·1 answer
  • Polynomials
    8·1 answer
  • 3√12•√6<br><br>please show a step by step explanation ​
    6·1 answer
  • HELP PLS!! a,b,c,d??
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!