what is the maximum value of y=-x^2-x+6 ?

Answers

Answer 1

Answer:

[tex]{ \tt{y = - {x}^{2} - x + 6 }} \\ { \tt{ \frac{dy}{dx} = - 2x - 1}} \\ f {}^{'} (x) = - 2x - 1 \\ f {}^{'}(1) = - 2 - 1 \\ = - 3 [/tex]


Related Questions

What is the value of k?

Answers

Answer:

Step-by-step explanation:

recall that the inside angles of a triangle add up to 180°

and also that the angle 115° is the other part of a 180° total

180=115+y

180-115 =65

then the inside angle at Y  is 65°

add the three inside (interior of the triangle) angles up

180= 65 + (4k+5) + (6k+10)

180 = 65 + 10k + 15

180 = 80 + 10k

100  = 10k

10 = k

see how I did that?  

A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a side of the water tank.

Answers

Given:

Volume of cubical tank = [tex]\dfrac{1000}{125}[/tex] cubic meters.

To find:

The length of a side of the water tank.

Solution:

The volume of a cubical tank is:

[tex]V=a^3[/tex]

Where, a is the side length.

It is given that the volume of cubical tank is [tex]\dfrac{1000}{125}[/tex] cubic meters. So,

[tex]a^3=\dfrac{1000}{125}[/tex]

[tex]a^3=\dfrac{(10)^3}{5^3}[/tex]

Taking cube root on both sides, we get

[tex]a=\dfrac{10}{5}[/tex]

[tex]a=2[/tex]

Therefore, the length of a side of the water tank is 2 meters.

Write an
equivalent expression by distributing the
"---"
sign outside the parentheses:
-(3.9d + 10)

Answers

Answer of this question

-3.9d-10

An acute angles measure is
A. Between 0 and 90
B. Between 90 and 180
C. Exactly 90

Answers

Answer: the correct answer is A. Between 0 and 90

If an angle is between 0 and 90 it is acute

If an angle is EXACTLY 90 it is a right angle

If an angle is between 90 and 180 it is obtuse angle

If it's 360 then it is a full circle

PLEASE HELP! Use the substitution method to solve the system of equations.

A. (-30,11)

B. (5,-3)

C. (10,-5)

D. (0,1)

Answers

Hello,

[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]

Answer A

The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2

Answers

x=2

9x-10=3x+2
-3x. -3x

6x-10=2
+10 +10

6x=12
———

x=2

Answer:

x=2

Step-by-step explanation:

On a coordinate plane, triangle F D E has points (negative 3, 3), (negative 1, negative 1), (negative 3, negative 1). Triangle C B A has points (3, 3), (3, negative 1), (1, negative 1).
What happens to a point when it is reflected over the y-axis?
The coordinates stay the same.
The x-coordinate changes.
The y-coordinate changes.
Both coordinates change.

Answers

Answer:

When a point is reflected across the y axis the values of x change. They become negative values of x.

Answer:

(B) The x-coordinate changes.

Step-by-step explanation:

M and t intersects lines l an6d m.
Find the m angle 8.​

A. 145
B. 35
C. 55
D. 75

Answers

Answer:

B. 35°

Step-by-step explanation:

m<4 = x + 20

m<8 = 2x + 5

✔️First, find the value of x:

m<4 = m<8 (corresponding angles are equal)

Substitute

x + 20 = 2x + 5

Collect like terms

x - 2x = -20 + 5

-x = -15

Divide both sides by -1

x = 15

✔️Find m<8:

m<8 = 2x + 5

Plug in the value of x

m<8 = 2(15) + 5

m<8 = 30 + 5

m<8 = 35°

can someone please help me with this question? I have been stuck on it for a while now​

Answers

Answer:

w = 12 cm  and l = 20 cm

Step-by-step explanation:

use r = 27 and x = 3
- r 9 _ + 5x

Answers

Answer:

-228

Step-by-step explanation:

given the equation of a trend line can you find the exact amount of sales given exact advertising cost

After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100)
is a proper fraction in its lowest form. Find the difference of its numerator and denominator.

Answers

Answer:  no

Step-by-step explanationn.  .......................................................w:eorkeok,feoferkeorkoe

help with this plzzzz, i need perimeter and area plzzzz steps if possible will mark brainlest!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Area: 125

Perimeter: 60

Step-by-step explanation:

I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.

Please help the question is in the photo

Answers

Answer:

Click C.

√65,17/2,8.9,3^2,√100

Have a blessed day B)

Answer:

C √65,17/2,8.9,3^2,√100

Step-by-step explanation:

from least to greatest

√65=8.06

17/2=8.5

8.9

3^2=9

√100=10

A right triangle has one angle that measures 70 degrees what is the measure of the other acute triangle

Answers

Answer:

20

Step-by-step explanation:

180 - 90 - 70  = 20

The sum of all angles in a triangle equals 180.

Triangle Sum Theory

Please tell me the ans fast ​

Answers

Answer:

B

Step-by-step explanation:

mgh=PE

(5)(9.8)(2.5)=pe

122.5j=pe

B
is the answer to your question

A clínica odontológica Dentes Felizes calcula o valor de seus atendimentos a partir de uma taxa fixa de R$ 100,00 e R$ 60,00 por cada obturação.

Answers

Answer:

$ 100 + $ 60 y

Step-by-step explanation:

The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.

Let the total number of fillings is y.

The total cost of fillings = $ 60 x y =  $ 60 y

The total cost of the treatment = $ 100 + $ 60 y

if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?​

Answers

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

  2^a = 0.5 = 2^-1   ⇒   a = -1

  5^b = 125 = 5^3   ⇒   b = 3

Then the expression a^b  +b^a is ...

  a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3

Can someone help me with this math homework please!

Answers

Answer:

the correct options are 1, 2, 5, and 6th

1. and 2.

all functions have a dependant variable y and independent variable x, and the set of dependant variables is called its range whereas the set of independent variables is called its domain.

5. and 6.

In a horizontal line 1 input associates itself with exactly one ouput, even tho the output is constant (same) for all values of x, and that's the property of a function

Answer:

all functions have dependent variables

all functions have an independent variable

a horizontal line Is an example of a functional relationship

PLEASE PLEASE HELP ILL GIVE BRAINLY

Answers

Answer:

In this case, we can do substitution.

Step-by-step explanation:

For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x

For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3

And for the last one,  (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10

Hope your happy with the answer :)

For a right triangle ABC, you are told that cos A = x and sin A = y. Which option below gives an expression that is equivalent to tan A? a. x/y b. y/x c. x/√x^2+y^2 d. y/√x^2+y^2

Answers

Answer:

B

Step-by-step explanation:

We know that

cos A = adjacent / hypotenuse

sin A = opposite / hypotenuse

Therefore, sin A / cos A =

(opposite / hypotenuse)  / (adjacent / hypotenuse)

= (opposite/hypotenuse) * (hypotenuse / adjacent)

= opposite / adjacent

= tan A

Therefore, tan A = sin A / cos A = y/x

Evaluate the expression. 24.32

Answers

2^4×3^2 = 144

___________

Answer:

144 would be the answer.

Step-by-step explanation:

Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]

[tex]2^{4}[/tex] = 2 x 2 x 2 x 2

   = 4 x 2 x 2

   = 8 x 2

   = 16

[tex]3^{2}[/tex] = 3 x 3

   = 9

So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19

              = 144

. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).

Answers

Answer:

wait what

Step-by-step explanation:

A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?

Answers

Answer:

The function is:

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Step-by-step explanation:

Given

[tex]height = 3ft[/tex]

[tex]velocity = 50ft/s[/tex]

[tex]acceleration = -16ft/s^2[/tex]

Required

The function

Let t represents time;

So, we have:

[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]

So, we have:

[tex]f(t) = -16* t^2 + 50* t + 3[/tex]

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Answer:

b on edge

Step-by-step explanation:

Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.

Answers

Answer:

This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me

What is the decimal equivalent of
9
22
?

Answers

= 9/22

= 9 ÷ 22

= 0.40909090909091

That's literally all there is to it! 9/22 as a decimal is 0.40909090909091.

It’s solution in step by step explanation pls help

Answers

Answer:

6) [tex]x^2 -4x+1[/tex]

7)   26x-1y +4z

Step-by-step explanation:

long division

       

      ____[tex]x^{2}[/tex]__-4x__+1____

x-2 | [tex]x^3-6x^2+9x-2[/tex]

  -    [tex]x^3-2x^2[/tex]

       -----------

             [tex]-4x^2+9x[/tex]

             [tex]-4x^2+8x[/tex]

        ----------------

                x-2

                x-2  

At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2


pahelp naman po :<

Answers

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

total energy, E =?Potential energy, PE =?Kinetic energy, KE =?

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J

If z varies jointly as x and y and inversely as w^2?, and
z = 72 when x = 80, y = 30 and
w=5, then find z when x = 20, y = 60 and w=9.

Answers

Answer:

Step-by-step explanation:

z = (k*x*y) / w²

Where,

k = constant of proportionality

z = 72 when x = 80, y = 30 and w = 5

z = (k*x*y) / w²

72 = (k * 80 * 30) / 5²

72 = 2400k / 25

Cross product

72 * 25 = 2400k

1800 = 2,400k

k = 2,400/1800

k = 24/18

= 4/3

k = 1 1/3

k = 1.33

find z when x = 20, y = 60 and w=9

z = (k*x*y) / w²

z = (1.33 * 20 * 60) / 9²

z = (1596) / 81

Cross product

81z = 1596

z = 1596/81

z = 19.703703703703

Approximately,

z = 19.7

someone help me for this algebra task please

Answers

Answer:

The last one is the answer

Answer: For each hour that Michelle drove, she travelled an additional 50 miles.

Step-by-step explanation:

Test each option to see its accuracy

Calculate the slope:

[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]

This means that Michelle drove 50 miles per hour.

The other three options are wrong because if you bring in:

x = 6x = 3

into your function- y = -50x + 350, you would not get the stated miles.

Which of the following is not a proportional liner relationship?

Answers

Answer: Choice A

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

Explanation:

A proportional linear relationship is of the form y = kx

We can solve for k to get k = y/x.

Based on that, we can prove a table is a proportional linear relationship if and only if each column of x,y values divide to the same number.

Choice A shows that y/x = 2/8 = 1/4 for the first column; however, y/x = 8/16 = 1/2 for the second column. The outputs 1/4 and 1/2 not being the same indicates we don't have a constant k value for all of the columns. This is sufficient to show that table A is not a proportional linear relationship.

-------------

In contrast, table B is a proportional linear relationship because we have these four divisions that lead to the same value (1/8)

Column One: y/x = 2/16 = 1/8Column Two: y/x = 4/32 = 1/8Column Three: y/x = 6/48 = 1/8Column Four: y/x = 8/48 = 1/8

Showing that k = 1/8 for table B. The equation here is y = (1/8)x. We can rule out choice B.

I'll let you check out tables C and D on your own, but you should find that a similar situation shows up as did with table B. This indicates tables C and D are also proportional linear relationships. We can rule out choices C and D.

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