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
antiseptic1488 [7]
3 years ago
12

Show that 6 – 4x - x^2 can never be greater than 10. ( This is an Additional Math Question )

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Given

6 - 4x - x²

Since the coefficient of the x² term < 0 then parabola has a maximum vertex.

To find the x- coordinate of the vertex

x_{vertex} = - \frac{b}{2a}

with a = - 1 and b = - 4 , then

x_{vertex} = - \frac{-4}{-2} = - 2

The corresponding y- coordinate is found by substituting x = - 2 , that is

6 - 4(- 2) - (- 2)² = 6 + 8 - 4 = 10

vertex = (- 2, 10 )

The maximum value of the function is the y- coordinate of the vertex

Then maximum value is 10

Thus 6 - 4x - x² is never greater than 10

You might be interested in
Solve for z<br> 4/z =<br> 12/5 <br> what is z
Verdich [7]

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

7 0
2 years ago
16x what equals -112
fiasKO [112]

Answer:

-7

Step-by-step explanation:

16x=-112

x=-112/16

x=-7

PLS GIVE BRAINLIEST

5 0
2 years ago
Solve for y.<br> 22mm+15mm+(4y+12)mm=180 degrees
AURORKA [14]

Answer:

y =  45/m^2  −  49/4

Isolate the variable by dividing each side by factors that don't contain the variable

3 0
3 years ago
Someone plz help me plz
sukhopar [10]

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

4 0
3 years ago
The ball game begins at 2:00 pm.It takes Ying 30 minutes to get to the ballpark.At what time should Ying leave home to get to th
sweet-ann [11.9K]
2pm minus 30 minutes minus another 30  minutes, is 1pm.
6 0
2 years ago
Read 2 more answers
Other questions:
  • Convert a distance of 42 feet into yards.
    6·1 answer
  • What line intersects two other complaner lines in different points
    13·2 answers
  • Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r
    15·1 answer
  • Select 2 ratios that are equivalent to 7:10
    7·1 answer
  • What two numbers multiply to -60 and add to -11
    8·1 answer
  • Gcf of 35 and 15 and 3
    14·2 answers
  • HELP ME PLEASE IF YOU WANT :(
    7·2 answers
  • PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
    6·1 answer
  • Hello
    9·2 answers
  • Plz help me with this one <br><img src="https://tex.z-dn.net/?f=y%20%3D%20%20-%203%20%5C%5C%20y%20%3D%203x%20%2B%2012" id="TexFo
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!