Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.

Answers

Answer 1

Answer:

-2.

Step-by-step explanation:

Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]

= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10

= (1 - 10 + 18 - (121 - 110 + 18) / 10

= (9 - (29) /10

= -20/10

= -2.

Answer 2

Answer:

Step-by-step explanation:

The answer is +2 or 2.


Related Questions

Which graph represents the given equation?
y
=
NICO
+ 4r – 2

Answers

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex] is option (B).

Given that:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

First, we check the y intercept of [tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

This is when [tex]x = 0[/tex]

So, we have:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

[tex]y = \frac{3}{2} \times 0^2 + 4\times 0 - 2[/tex]

[tex]y = - 2[/tex]

This point is represented as: [tex](0,-2)[/tex]

Next, check the equation when [tex]x = 1[/tex]

So, we have:

[tex]y = \frac{3}{2}x^2 + 4x - 2[/tex]

[tex]y = \frac{3}{2} \times 1^2 + 4\times 1 - 2[/tex]

[tex]y = 3.5[/tex]

This point is represented as: [tex](1,3.5)[/tex]

From the list of given options (see attachment).

Only graph B has the [tex](0,-2)[/tex] and [tex](1,3.5)[/tex] on its curve.

Hence, option (B) is correct.

Read more about equation of graphs at:

https://brainly.com/question/1971145

Answer:

Equations can be represented on graphs by plotting the corresponding x and y values. The graph of is option (B).

Step-by-step explanation:

y intercept is -2y = 3/2x^2 + 4x – 2y = 3/2(0^2) + 4(0) – 2 = -2and x intercepts are0 = 3/2x^2 + 4x – 2aboutx =  0.43050087, -3.09716754

28. find the range…
please help!!!

Answers

Answer:

A

Step-by-step explanation:

lm‎ao this problem is b‎u‎l‎ls‎h‎‎‎i‎t because the actual answer would be [2, 2] U (7, infty) but thats literally not there, so ig the closest one would be [2, infty) which is A

if it was asking for the domain on the other hand, then it would be B lm‎ao

but I would go with A

given m||n, find the value of x and y

Answers

Answer:

x = 145, y = 35

Brainliest, please!

Step-by-step explanation:

y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.

x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145

Need help please help please please please please

Answers

1+3/4*1*3/57/4*8/556/202+16/20

Write a function, f, whose zeros are -5, -2, and 0.
A) x^3+7x^2-10x
B)x^3-3x^2-10x
C)x^3-7x^2-10x
D)x^3+3x^2-10x

Answers

answer
D)x^3+3x^2-10x

Answer:

Hello,

None !!!

Step-by-step explanation:

[tex]f(x)=x(x+5)(x+2)\\=x(x^2+5x+2x+10)\\\\=x^3+7x^2+10x\\[/tex]

In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
-2x + 4y = 10
3x - 2y = -7
A. Multiply the top equation by 2 and the bottom equation by 3.
B. Multiply the bottom equation by 2.
C. Multiply the top equation by -3.
O D. Multiply the top equation by 3 and the bottom equation by -2.

Answers

Answer:

Multiply the bottom equation by 2

how many secods are in 24 hours​

Answers

Answer:

86400

Step-by-step explanation:

Convert 24 hours to minutes by multiplying 60 to 24

Answer: 60 x 24 = 1440

Then convert minutes to seconds by multiplying 1440 by 60

Answer: 1440 x 60 = 86400

write 1042000 000 m+ in scientific notification​

Answers

Answer:

1.042 × 109

Step-by-step explanation:

you have to move the decimal from the zero.

Please help, the question is in the picture

Answers

Answer:

per = 18a         7a+2a+7a+2a

area = 14 [tex]a^{2}[/tex]      7a*2a

Step-by-step explanation:

Answer:

(i) 18a

(ii) 14[tex]a^2[/tex]

Step-by-step explanation:

i: 7a+7a+2a+2a

      14a+4a

         18a

ii: 7a*2a

     14a2

I hope this helps!

Jiayi typed w word in 40 minutes. How many words did she type in 1 minute?

Answers

Answer:

40 minutes in w worlds

1 minutes =W/4

Words typed in 40 minutes = w

So, words typed in 1 minute

= Words typed in 40 minutes/40

= w/40

So, she Jiayi typed (w/40) words in 1 minute.

In math class, Jose earns 10 points for each A in his homework. If he already has 50 points, how many A’s does he need to get 120 points?

Answers

Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)

Step-by-step explanation:

Answer:

He needs 7 A's.

Step-by-step explanation:

The pictures.

Hope this helps!!! :)

Simplify
4(w + 2) - 7

Answers

Answer:

4w +1

Step-by-step explanation:

4(w + 2) - 7

Distribute

4*w + 4*2 -7

4w +8-7

Combine like terms

4w +1

Hey there!

4(w + 2) - 7

DISTRIBUTE 4 WITHIN the PARENTHESES

= 4(w) + 4(2) - 7

= 4w + 8 - 7

COMBINE the LIKE TERMS

= 4w + 1

Answer: 4w + 1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)


1.Origin
2.Y-Axis
3.Run
4.Solution of a Line
5.Ordered Pairs.
6.Quandrant
7.Solution of a Linear equation
8.slope
9.Slope- intercept form
10.Rise
11.Y intercept
12.parallel Lines
13.X intercept
14.x axis
15.Linear equation
16.Perpendicular Lines
17.Point slope Form
18.Coordinate plane


1.Plane with two axes as a frame of reference.

2.The vertical number line in a coordinate plane

3.The horizontal number line in a coordinate plane

4.A pair of numbers that are used to correspond to a point on a graph where the first number is the x-coordinate and the second number is the y-coordinate.

5.where the x and y axis meet. The point (0,0).

6. One of the four regions into which the x and y axis separate the coordinate plane.

7. An equation with two variables that makes up a straight line on a coordinate plane.

8.The vertical change in a line from one point (x1,y1) to a second point (x2,y2).

9. The horizontal change in a line from one point (x1,y1) to a second point (x2,y2).

10.The ratios of a Lines rise over its run.

11.y-y1=m(x-x1)

12.Any of the ordered pairs that make an equation true.

13. Any of the points that are on the line of an equation.

14. The point where a graph crosses the x axis.

15. The point where a graph crosses the y axis

16.A Linear equation in the form y=mx+b, where m is the slope and b is the y-intercept

17. Lines that have the same slope and never intersect.

18.Two Lines that intersect at 90°angle.Slopes of these lines are opposite reciprocals.​

Answers

Step-by-step explanation:

Origin is 5.

Y Axis is 2

Run is 9

Solution of a Line is 13.

Ordered Pairs is 4.

Quadrant is 6.

Solution of Linear Equation is 12.

Slope is 10.

Slope Intercept Form is 16.

Rise is 8.

Y intercept is 15.

Parallel Lines is 17.

X intercept is 14.

X axis is 3.

Linear Equation is 7.

Perpendicular Lines is 18.

Point Slope Form is 11.

Coordinate plane is 1.

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square? 1 6 8 9

Answers

Answer:

easy

Step-by-step explanation:

8

Answer:

its 8

Step-by-step explanation:

what is the LCD of 1/6 and 2/3

Answers

Answer:

6

Step-by-step explanation:

What does LCD mean?

      LCD means Least Common Denominator

1/6 and 2/3. You can easily see the least common denominator is 6 for 2/3 = 4/6 and 1/6 doesn't need to change.

Hope this helped!

Answer:

6

Step-by-step explanation:

We want to find the denominator that is common for both fractions

LCD means least common denominator of the smallest denominator that is common to both

6 and 3 , the smallest factor that is common to both is 6

Find the value of x in the given
right triangle.
10
х

Answers

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

x = 44.427

Rounding to the nearest tenth

x = 44.4

An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

Answers

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

what is the equation of the line that passes through (1,5) and (3,1)

Answers

Answer:

Below

Step-by-step explanation:

First let's find m

     m = Δy / Δx = y2 - y1 / x2 - x1

         = 1 - 5 / 3 - 1

         = -2

Now to find b, you can sub in the values of (x,y) for (1,5)

5 = (-2)(1) + b

-b = -2 - 5

-b = - 7

b = 7

Final equation

y = -2x + 7

Hope this helped!

Answer:

4x + 2y - 14

Step-by-step explanation:

I hope it is understandable.

WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold

Answers

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

A survey of 700 people revealed 45% were planning to vote for a political party at the upcoming election. How many people is this?

Answers

Answer 315 people.

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

45% is part of the 700 people who vote for a political party at the upcoming election.

Step 1. Use [tex]\frac{part}{whole} =\frac{part}{whole}[/tex] where 45% is part of the 700 people

Answer: [tex]\frac{45}{100} =\frac{?}{700}[/tex]

Step 2. Divide 45 by 100

Answer: 0.45

Step 3. Multiply it by 700

Answer: 315

so 315 people were planning to vote for a political party

50 000 000 = 3000 * 2.6^t
How do I find t?

Answers

Step-by-step explanation:

50000000=3000*2.6^t.

2.6^t=50000÷3

t÷2.6=50000÷3

t=50000*2.6÷3

Plz help me ASAP plz

Answers

The answer is 3

Explanation
18-15=3

Answer:

3

Step-by-step explanation:

RS = 15 and RT which is the whole line = 18 so we just have to do 18-15 which equals 3. Your answer is 3! So a!

489
X
96°
x =
degrees

Answers

Answer:

x=144°

Step-by-step explanation:

To work out x, you have to find the other angle in the triangle.

Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.

48+96=144°

180-144=36°

Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.

180-36=144°

x=144°

Hope this helps :)

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

So,

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]

[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]

The value of x in the expression 2x/3 - 7 = 5
is
A---8
B---24
C---18
D---36

Answers

Answer:

C. 18

Step-by-step explanation:

2x/3 - 7 = 52x/3 = 5 + 72x/3 = 122x = 3*122x = 36x = 36/2x = 18

Correct choice is C

[tex]\\ \sf\longmapsto \dfrac{2x}{3}-7=5[/tex]

[tex]\\ \sf\longmapsto \dfrac{2x-21}{3}=5[/tex]

[tex]\\ \sf\longmapsto 2x-21=5(3)[/tex]

[tex]\\ \sf\longmapsto 2x-21=15[/tex]

[tex]\\ \sf\longmapsto 2x=15+21[/tex]

[tex]\\ \sf\longmapsto 2x=36[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{36}{2}[/tex]

[tex]\\ \sf\longmapsto x=18[/tex]

2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm

Answers

Answer:

please translated to english

230% of 99 hours is what?

Answers

Answer:

227.7 hours

Step-by-step explanation:

of means multiply and is means equals

230% * 99 = what

Change the percent to decimal form

2.30 * 99 = what

227.7= what

[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]

[tex]\\ \sf\longmapsto 227.7hours[/tex]

The backyard of a new home is shaped like a trapezoid with a height of 44 ft and bases of 90 ft and 110 ft. What is the cost of putting sod on the yard, if the
landscaper charges $0.25 per square foot for sod?

Answers

Answer:

$1100

Step-by-step explanation:

First find the area of the trapezoid

A = 1/2 (b1+b2)*h

A = 1/2 ( 90+110) *44

A = 1/2(200)*44

A = 4400ft^2

The cost is .25 per square foot

4400* .25 =1100

Answer:

$1100

Step-by-step explanation:

((90 + 110)/2 * 44)) * .25 = 1100

What percentage is 420 grams of 750 grams?
%

Answers

Mark Brainliest please

Answer: 56%

Explanation:

Divide the numerator by the denominator to get fraction's value:

420/750 =

420 ÷ 750 =

0.56

3. Find the measure of angle A.

Answers

Answer:

20

Step-by-step explanation:

Angle Formed Outside = 1/2(difference of Intercepted Arcs)

The outside arc = 360-160 = 200

A =1/2 (200-160)

A = 1/2 (40)

A = 20

find the domain
PLEASE AND THANK YOUUUU

Answers

Answer:

The domain is all real numbers except x=0

Step-by-step explanation:

The domain is the values that x can take

x can be all real number except when the denominator is zero

x cannot be 0

The domain is all real numbers except x=0

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