Which of the following is the maximum value of the equation y = −x2 − x + 6?

Answers

Answer 1

Step-by-step explanation:

f(x) = y= -x²-x+6

When y is max, f'(x) = 0

f'(x) = -2x-1

Equating to 0,

-2x-1= 0

x= -1/2

Put the value of x in f(x)

y = -(-1/2)² -(-1/2) +6

= -1/4+1/2+6

= 6+1/2

y= 13/2


Related Questions

Amelie rode her bike for 80 minutes. Amelie rode her bike 5 times as long as Raj. How long did Raj ride his bike?

Answers

Answer:

400 minutes

Step-by-step explanation:

Amelia speed = 80 minutes

raj = ?

80 ×5 =400

Find the surface area of the cube shown below.
units2
2/3

Answers

Answer:

8/3 units squared

Step-by-step explanation:

Surface area of Cube = 6(L^2)

   6((2/3)*(2/3))

= 6(4/9)

= 24/9

= 8/3

PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL

Answers

Answer:

∠b = 53°

Explanation:

Complimentary angles are when two angles sum up to 90°

Here given:

∠a : 37°

∠b : missing angle

These angles sum up to 90 degree:

x + 37 = 90°

x = 90° - 37°

x = 53°

Evaluate e0.2 to four decimal places

Answers

Answer:

grab

Step-by-step explanation:

hahahahaha

Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this?

Answers

Answer:

2500 grams

Step-by-step explanation:

convert 2.5 kilograms to grams by multiplying by 1000

= 2.5×1000= 2500grams

Hello. Please help me answer this.

Answers

Answer:

The area of the shape is 49.

Step-by-step explanation:

The shape is a trapizoid, so we use the formula: I've attached an image below.

H stands for height, the height is 7.  b1 is 3 (the first base length) and b2 is 11 (the second base length.)

Now, we plug it into the formula.

A=1/2(7)(3+11)

A= 49.

Hope this helps. :)

In a packet of 40 Skittles, 12 are red. What percentage of the Skittles are red?​

Answers

Answer:

12/40×100= 30%

Step-by-step explanation:

12/40×100 = 12/2×5 =6×5= 30%

The angles of a triangle measure 50°, 62°, and x.
Find the value of x.
87 degrees
72 degrees
68 degrees
48 degrees

Answers

Answer:

  (c)  68 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  50° +62° +x = 180°

  x = 68° . . . . . . . . . . subtract 112° from both sides

No link please……. Enter the value of b when the expression 30.4x + b is equivalent to 3.4 (6x-3.1)

Answers

Answer:

61

Step-by-step explanation

sped

Answer: b=−10x−10.54

Step-by-step explanation:

Let's solve for b.
30.4x+b=3.4(6x−3.1)

Step 1: Add -30.4x to both sides.

b+30.4x+−30.4x=20.4x−10.54+−30.4x

Answer: b=−10x−10.54

8(7n-2) -6(7n+1)

Explain please

Answers

Answer:

8(7n - 2) - 6(7n + 1) = 14n - 22

Step-by-step explanation:

8(7n - 2) - 6(7n + 1)

use the distributive property: a(b + c) = ab + ac

= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1

= 56n - 16 - 42n - 6

combine like terms

= (56n - 42n) + (-16 - 6)

= 14n - 22

Answer:

=> 14n - 22

Step-by-step explanation:

8(7n-2) -6(7n+1)

=> 56n - 16 - 42n -6

=> 14n - 22

Which expression is equivalent to 4 ( y + 2 ) − 3 y ?

A. ( 4 + 8 − 3 ) y

B. ( 4 − 3 ) y + 2

C. ( 4 + 2 − 3 ) y

D. ( 4 − 3 ) y + 8

Answers

Answer:

D

Step-by-step explanation:

the given expression is equivalent to (4-3)y+8

E. Solve the Inequality

Answers

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

              Solve the Inequality.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

              x<-4

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                      First, add 6x on both sides:

-2x+3+6x<-13

Add the x's:

4x+3<-13

Now, subtract 3 on both sides:

4x<-13-3

4x<-16

Divide by 4 on both sides:

x<-4

So the values of x that are less than -4 will make the given inequality true.

Good luck.

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

Simplify: -16b4 + (-18b4)

Answers

Answer:

-34b4

Step-by-step explanation:

Since the variables are the same b4, you just add the constants (-16 & -18).

Identify the surface area of the composite figure to the nearest tenth. The figure shows a compound figure that consists of a cube and a right cylinder. The side of the cube is 5 meters long. The cylinder has a radius of 2 meters and a height of 3 meters. The cylinder is located on the top of the cube.

Answers

Answer:

187.7 m2

Step-by-step explanation:

your wecome

Find the exact value of ..
Х
15
6

Answers

Is the answer ur looking for 25

use the vertical line test to determine whether the graph is the graph of a function

Answers

Answer:

No the graph is not a function

Step-by-step explanation:

If you draw vertical lines onto the graph, multiple points will hit it.

Answer:

This graph is not a function

Step-by-step explanation:

The input x is used more than once

it is not a parabola

HELP!!! ASAP!!
Given: ABCD is an inscribed polygon.

Prove: ∠D and​∠B ​are supplementary angles.

Answers

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

ABCD is an inscribed polygon ⇒ Given

m∠ABC = 2(m∠D)                      ⇒ Inscribed Angle Theorem

m∠CDA = 2(m∠B)                      ⇒ Inscribed Angle Theorem

m∠ABC + m∠CDA = 360°         ⇒ The sum of arcs that make a circle is 360°

2(m∠D) + 2(m∠B) = 360°           ⇒ Substitution property

m∠D + m∠B = 180°                    ⇒ Division Property of Equality

Hence, ∠D and ∠B are supplementary angles

Learn more about Supplementary Angles:

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Whats the Number of Units and Distance of feet to Mammoth to tempest??

Answers

16 units is the number of units but i’m not sure of distance because it doesn’t say how many units equals a feet.

A company is tracking how many likes it receives for a new product they have posted online. So far they have received 499 likes on Day 1, on Day 2 they received 239 likes, 154 on Day 3, and 92 on Day 4. If they estimate each day's total to the nearest ten before finding the total, what is the total estimated likes over the four-day period?

Answers

A company is tracking how many likes it receives for a new product they have posted online. The total estimated likes over the four-day period is 580.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

A company is tracking how many likes it receives for a new product they have posted online.

So far they have received 499 likes on Day 1,

On Day 2 they received 239 likes,

154 on Day 3,

92 on Day 4.

If they estimate each day's total to the nearest ten.

Then it will become 100 likes on Day 1,

On Day 2 they received 240 likes,

150 on Day 3,

90 on Day 4.

The total estimated likes over the four-day period

= 100 + 240 +150 + 90

= 580

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Examine the diagram.

Transversal n intersects lines l and m to form 8 angles. The angles formed with line l, clockwise from top left are 63 degrees, (15 x minus 3) degrees, blank, blank. The angles formed with line m, clockwise from top left are (8 x + 7) degrees, blank, 1, blank.

What is the m∠1?
the answer is 71

Answers

The measure of angle 1 is 71° ⇒ c

Step-by-step explanation:

Look to the attached figure:

∵ Line l intersect line n

∴ Angle 63° and angle (15x - 3) are linear pair

- The sum of the linear pair angles is 180°

63° + (15x - 3)° = 180°

- Add like terms

∴ 60 + 15x = 180

- Subtract 60 from both sides

∴ 15x = 120

- Divide both sides by 15

x = 8

∵ Line m intersect line n

∴ Angle (8x + 7) and angle 1 are vertical opposite angles

- The vertical opposite angles are equal in measure

∴ m∠1 = 8x + 7

∵ x = 8

- Substitute the value of x to find m∠1

∴ m∠1 = 8(8) + 7

∴ m∠1 = 64 + 7

∴ m∠1 = 71

The measure of angle 1 is 71°

Learn more:

You can learn more about the parallel lines in

#LearnwithBrainly

Find the approximate radius of a circle with a
circumference of 41.78 centimeters.

Answers

Answer:

radius=6.65cm

Step-by-step explanation:

circumference=41.78cm

2×22\7×r=41.78cm

r=41.78×7\44

r=6.65cm

People leaving a movie were randomly asked their age. The results are show below. What graph would best display the data, if you were only concerned about the shape and spread of the data, and not specific data? Select all that apply.


7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4


box plot

dot plot

histogram

stem-and-leaf plot

Answers

The histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.

What is a histogram?

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have data:

7, 37, 45, 78, 24, 97, 12, 17, 43, 56, 69, 63, 76, 23, 50, 38, 45, 57, 4

We know on the left side skewed histogram has more data on the right and on the left side, there are less data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is less data on the right side and more data on the left side. It is also called a positive histogram.

Thus, the histogram and stem and leaf plot would be the best choices if you were only concerned about the shape and spread of the data.

Learn more about the histogram here:

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What is the solution set of equation x2 + 3x - 4 = 6?

Answers

X=2 or also x=-5 either works. Have a good day

A grain silo has a cylindrical shape. Its radius is7.5ft , and its height is44ft . What is the volume of the silo?

Answers

Answer:

[tex]7776.45ft {}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: of \: a \: cylinder = \pi \: r {}^{2} h \\ v = \pi \: \times (7.5) {}^{2} \times 44 = 3.142 \times 7.5 \times 7.5 \times 44 \\ v = 7776.45ft { {}^{} }^{3} [/tex]

Answer:

7775.4  ft^3

Step-by-step explanation:

Volume of cylinder = pi r^2  * h

                                 = pi (7.5)^2 * 44 = 7775.4 ft^3

Please i need your help

Answers

Answer:

See below ~

Step-by-step explanation:

a) There are 3 feet in one yard.

b) There are 12 inches in one foot.

c) Two abbreviations for inches is in. and ".

d) Two abbreviations for feet is ft. and '.

Work out the difference between 25 and of 81 2/9

Answers

That is the differnce between the 2 numbers and it is in a negative because the second number was bigger than the first number so if you don't need the negative don't put it in your answer

-56.22 is the difference between 25 and  [tex]81\frac{2}{9}[/tex]

What is Fraction?

A fraction represents a part of a whole.

A proper fraction has a numerator that is less than its denominator .

An improper fraction has a numerator greater than its denominator.

An improper fraction is always greater than one whole.

We need to find the difference between 25 and of [tex]81\frac{2}{9}[/tex]

Difference is nothing but subtraction. We need to subtract  [tex]81\frac{2}{9}[/tex] from 25

25 - [tex]81\frac{2}{9}[/tex]

25-731/9

25×9-731/9

225-731/9

-506/9

=-56.22

Hence -56.22 is the difference between 25 and  [tex]81\frac{2}{9}[/tex]

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Enter a recursive rule for the geometric sequence -10, 20, -40, 30 ...

Answers

Answer:

[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]

Explanation:

geometric sequence: [tex]\sf a_n = a_{n-1} \ x \ r[/tex]   where "r" is common ratio

[tex]\sf a_1 =a[/tex]

Find "r" = second term ÷ first term = 20  ÷ -10 = -2

Recursive rule:

[tex]\boxed{\sf t_n = r(t_{n-1})}[/tex]

[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]

Carlos buys 3 gallons of juice for a party. What is the greatest number of cups of
juice he can serve?
24 cups
16 cups
96 cups
48 cups

Answers

Answer:

48

Step-by-step explanation:

1 gallon=16 cups. So, 3x16=48 cups.

the rule is 1 1 1 2 what is the 87th number

Answers

the 87th number is 29

Use 24x -2 +2 >34 to figure out how much jimmy spent on his Fanta​

Answers

Answer:

x > 1.42 or x > 17/12

Step-by-step explanation:

24x - 2 +2 >34

The -2 and +2 cancel out

24x > 34

Now, we need to get x alone

24x/24 > 34/24

x > 34/24

34/24 can be simplifed too 17/12 by dividing by 2

x > 17/12

So Jimmy spent more than $1.42 on his Fanta​

Let me know if you have any questions !

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