What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4​

Answer:

Step-by-step explanation:

That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.

Answer:

39deg

Step-by-step explanation:

Answer:

36 9/16 inches

Step-by-step explanation:

Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it

= 45 1/2 - 8 7/8

simplify

= 44 - 8  (8 + 4 - 7)/8

= 36 5/8

Given that 1/16 inch is wasted in the process, the remaining length would be

= 36 5/8 - 1/16

= 36 10 - 1/16

= 36 9/16 inches

Answer:

a = 3

Step-by-step explanation:

If (x+3) is a factor of f(x) = x³+ax²+x+3,

From remainder theorem,

When we substitute -3 into the expression, we equate to zero

That is,

F(-3) = 0

(-3)³+a(-3)²+(-3)+3 = 0

-27+9a-3+3 = 0

9a = 27

divide both sides by the coefficient of a

a = 27/9

a = 3

Hence the value of a = 3

Answer:

$13 - senior

$6 - child

Step-by-step explanation:

set up a system of equations:

s = senior tickets price

c = child tickets price

4s + 2c = 64; you can simplify this by dividing through by 2 to get:

2s + c = 32

12s + 8c = 204; you can simplify this by dividing through by 4 to get:

3s + 2c = 51

we can say that 'c' = 32-2s' and substitute that for 'c' in the second equation:

3s + 2(32-2s) = 51

3s + 64 - 4s = 51

-s = -13

s = 13

now find 'c' by substituting 13 for 's':

2(13) + c = 32

26 + c = 32

c = 6

Answer: 36 inches

Step-by-step explanation:

From the information given in the question, we are informed that Yuron is sketching a scale drawing of a famous painting and that the painting is 54 inches wide and 72 inches long.

We are further informed that he used a scale factor of ⅔ to make his sketch, then the measure of the width of the sketch will be ⅔ of the original width and this will be:

= ⅔ × 54 inches

= 36 inches

The width of Yuron's sketch is 36 inches.

We know that the original painting is 54 inches wide and 72 inches long, and Yuron makes a sketch that uses a scale of 2/3 of the original dimensions.

Then the width of Yuron's sketch will be 2/3 times the original width:

W = (2/3)*54 inches = 36 inches.

The width of Yuron's sketch is 36 inches.

If you want to learn more about scales, you can read:

https://brainly.com/question/15891755

Answer:

Step-by-step explanation:

1) ∠WVZ and ∠VWX are right angles & VX = = WZ      Given

2) WV = VW                                                                      Reflexive property

3) ΔWVZ ≅ ΔVWX                                                           HL

4) ∠Z = ∠X                                                                       CPCT

CPCT --> Corresponding parts of congruent triangle.

Answer:

D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Step-by-step explanation:

Got a 100% on test! EDGE 2021

The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.

A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.

Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert

The formula to determine permutation is:

ⁿPₓ = n!/(n-x)!

Where n is the total number of objects and r is the number of objects selected.

For the given question, n will be 3 since K boards the bus first and hence his position is fixed.

Therefore, H, I, and J can switch positions.

³P₂ = 3!/(3-2)!

³P₂ = 6

Therefore, the correct option is D.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ7

Answer:

60 Degree,30 degree

Step-by-step explanation:

BD is bisector of ∠ABC

=> ∠ABD = ∠DBC

=> 3x = x + 20

=> 3x - x = 20

=> 2x = 20

=> x = 20/2  

=> x = 10

Now,

∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree

∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree

Answer: The figures appear to be similar

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Explanation:

You'd need to use a protractor, or perhaps some trig tricks that I can't think of right now, to determine that the angles are the same. They appear to be the same so, let's assume that the angles are the same.

That means we just need to focus on the sides being proportional or not. We simply divide the corresponding sides in the correct order. If we get the same result each time, then we have similar figures.

I've marked your drawing adding color coded circles to show which sides are corresponding. We'll divide the red values together, the green values together, etc like so

I started with the stuff in red, moved to stuff in green, working clockwise around each figure. We get the same result each time, so it seems to suggest we have similar figures. Again, we have to assume the angle measures are the same for the two figures to officially be considered similar.

Answer: 86°

Step-by-step explanation:

You add 28°+58° to get 86

a scalene triangle always equals (adds up to) 180°

So you minus 86° from 180 to get 94° for angle EGF

Then since line EGT is 180° the ? has to add together with 94° to find your answer

94°+?=180°

180°-94°= 86°

9514 1404 393

Answer:

Step-by-step explanation:

Your system of equations will be ...

  x + y = 70 . . . . . . . there are 70 total questions

  x + 3y = 100 . . . . . there are 100 total points

__

We can use the first equation to write an expression for x that can be substituted into the second.

  x = 70 -y

  (70 -y) +3y = 100

  70 +2y = 100 . . . . . . collect terms

  2y = 30 . . . . . . . . . . subtract 70

  y = 15 . . . . . . . . . . . divide by 2

  x = 70 -15 = 55

The test has 15 short answer questions and 55 multiple-choice.

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is y=5x+3

Hope this helps! :)

Step-by-step explanation:

everything can be found in the picture

Answer:

Step-by-step explanation:

Which two equations represent the system for this word problem?

Equation 1:

✔ x + y = 10

Equation 2:

✔ y = 4x

Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].

Hope that this helps!

Answer:

a.y=-x½+5

Step-by-step explanation:

from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½

QUESTIONS:- For which equation would x = 0 be a solution?

ANSWER:- (7)x = 0

as 7x= 0

x=0 ANSWER

9 on the top as well so 9 x 2 18 3x2 6 3

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)

Answer:

2 gallons of paint

Step-by-step explanation:

If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.

By knowing this, you can just make up your own expression

(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)

Hoped this helped you :3

Answer:

30,400 sq ft

Step-by-step explanation:

1 gallon = 400 sq ft

2×38=76 gallons

76×400=

30,400sq ft

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

Answer:

66 degree

Step-by-step explanation:

given:

angle FAB = 48 degree

angle ECB = 18 degree

in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.

so angle H = 48 degree

in triangle HBC

angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)

48 + 18 = angle ABC

66 = angle ABC

Answer:

1

Step-by-step explanation:

1/2×2 = 2/2 = 1

_____________________

Answer:

-4350

Step-by-step explanation:

-((58)x(75))=

-(4350) =

-4350

Answer:

Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls

Answer:

sir, this is a english app, search a spanish app

señor, esta es una aplicacion en ingles, busque una en español

Step-by-step explanation:

Brainly.lat

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Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

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

This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = [tex]\frac{5}{x}[/tex] ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = [tex]\frac{5}{tan24}[/tex] ≈ 11.23 ( to 2 dec. places )