what is the average rate of change over the interval [1, 0]

Answer:

Correct options are A and B.

Step-by-step explanation:

From the given graph it is clear that the given points lie on a parabola because they in U-shape.

We need to find the ranges of x-values such that there must be a root of the graph.

The point (-3,2) lies above the x-axis but point (-2,-2) lies below the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range -3 to -2.

Similarly, point (1,-1) lies below the x-axis but point (2,3) lies above the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range 1 to 2.

Therefore, the correct options are A and B.

Answer:

Wednesday

Step-by-step explanation:

Fridays temperature was -4

We want a temperature that is 9 degrees lower

-4 -9 = -13

Wednesday has a temperature of -13

Answer:

The third option wednesday.

Step-by-step explanation:

on friday it was -4 c. aass the temperature grow in minuses(negatives) it becomes colder. just add 4 and 9 because it tells you that it was colder by nine celsius. higher negative number means lower(colder) temperature. 4+9=13. now add minus to the number we get -13. if you look at the chart this temperature was reported on wednesday. hope i was able to help. ask if need help any further.

Answer: 241804367

Step-by-step explanation:

Answer:

A. 24/7

What are sine, cosine, and tangent?

SOH - CAH - TOA

sine = opposite/hypotenuse

cosine = adjacent/hypotenuse

tangent = opposite/adjacent (that is not hypotenuse)

Step-by-step explanation:

tanX = ZY/XY = 48/14 = 24/7

Answer:

24/25

Step-by-step explanation:                    opposite side

The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25

                                                                adjacent side

Answer:

The slope from point O to point A is 3 times the slope of the line from point A to point B.

Step-by-step explanation:

The slope of the entire line is 1. The slope from point A to point B is also 1. 1 multiplied by 3 is still 1, which means that the slope from point O to point A is also 1.

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Subtract 2x on both sides

-5y = 10 - 2x

Step 2: Divide everything by -5

y = -2 + 2/5x

Step 3: Rearrange

y = 2/5x - 2

Answer:

B. 141 ft.

Step-by-step explanation:

Just saw this.

Answer:

[tex]p(0) + p(1) = 2[/tex]

Step-by-step explanation:

=> [tex]p(x) = x^3-x^2+1[/tex]

Putting x = 0 in p(x)

=> [tex]p(0) = (0)^3-(0)^2+1[/tex]

=> [tex]p(0) = 0-0+1[/tex]

=> [tex]p(0) = 1[/tex]

Putting x = 1 in p(x)

=> [tex]p(1) = (1)^3-(1)^2+1[/tex]

=> [tex]p(1) = 1-1+1[/tex]

=> [tex]p(1) = 1[/tex]

So,

=> [tex]p(0)+p(1) = 1+ 1[/tex]

=> [tex]p(0) + p(1) = 2[/tex]

Answer:

Solution,

[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-11/5x+-171/10

Step-by-step explanation: I believe its this answer unless you want it graphed

Answer:

2 1/3 hours or 2 hours 20 minutes.

51.4 mph to 1 decimal place.

Step-by-step explanation:

Time = distance  speed

First 50 miles time taken = 50 / 60  = 5/6 hours

Second 50 miles  -  time  =  50/40 = 5/4 hours.

Final 20 miles - time taken =  20 / 80 = 1/4 hours.

Total time taken = 5/6 + 5/4 + 1/4

= 5/6 + 6/4

= 10/12 + 18/12

= 28/12

=  7/3 or 2 1/3 hours or 2 hours 20 minutes.

Average speed = total distance / total time

=  120 / 7/3

= 120 * 3/7

=  51.4 mph to 1 decimal place.

Answer:

Step by step explanation:

[tex] - 7.1(z - 1.1)[/tex]

Multiply each term in paranthesis by -7.1

[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]

Multiply:

[tex] -7.1z + 7.81[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

D. The coefficient of the x^2-term must be positive.

Step-by-step explanation:

A. The coefficient of the x2-term can't be zero.

B. There can be no term whose degree is higher than 2.

C. One side of the equation must be zero.

D. The coefficient of the x2-term must be positive.

Quadratic equation is given as:

y=ax^2+bx+c

To use the quadratic formula,we have

ax^2+by+c=0

Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0

There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2

One side of the equation must be 0, that is ax^2+by+c=0

Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a

Answer:

7, 165.482 ≈ 7,165.48

Step-by-step explanation:

7, 165.482

Locate the hundredth:

7, 165.482

Check the number to the left:

7, 165.482

If the number is greater than or equal to five, we round up.

If the number is less than four, we round down.

2 is less than four.

Therefore:

7, 165.482 ≈ 7,165.48

The given number rounded to the nearest hundredth is 7, 165.48.

The given decimal number is 7,165.482.

We need to round 7,165.482 to the nearest hundredth.

To round a number to the nearest hundredth, look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredth place, and then remove all the digits to the right.

Now, in the number 7,165.482 digits, the thousandth place is 2.

So, the number to the nearest hundredth is 7, 165.48

Therefore, the given number rounded to the nearest hundredth is 7, 165.48.

To learn more about rounding off numbers visit:

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Answer:

the slope

Step-by-step explanation:

If the function is linear, the average rate of change of y with respect to x is the slope of the line.

Answer:

slope

Step-by-step explanation:

Answer:this is stupid

Step-by-step explanation:who the hell does that

Answer:

acute

Step-by-step explanation:

Answer:

1). Y= x² -4x+6

Y = 3x-4

2) X= 5 and x= 2

3).

X= 5

Y= 11

X= 2

Y= 2

Step-by-step explanation:

1).

Y = (x-2)²+2

Y= x² -4x+4+2

Y= x² -4x+6

Y+4= 3x

Y = 3x-4

2).

Y = x² -4x+6

Y = 3x-4

x² -4x+6= 3x-4

X² -7x+10= 0

X²-5x-2x+10= 0

X(x-5)-2(x-5)= 0.

(X-5)(x-2)= 0

X= 5 and x= 2

3). substituting the value of x into the linear equation

Y = 3x-4

X= 5

Y= 3(5)-4

Y= 15-4

Y= 11

Y = 3x-4

X= 2

Y= 3(2)-4

Y= 6-4

Y= 2

Answer:

C.

Step-by-step explanation:

Answer:

b. 495

Step-by-step explanation:

Given

15, 21, 27, 33, 39, ...., 75

Number of terms = 11

Required

Evaluate

To evaluate means to add up all term of the series above;

The first step is to determine if the series is arithmetic or exponential;

If its arithmetic, then the difference between successive terms must be equal;

In other words;

21 - 15 = 27 - 21 = 33 - 27 = 39 - 33 = 6

Since the result of the above expression gives 6, then it is an arithmetic series;

The sum of n terms of an arithmetic series is calculated as this

[tex]S_n = \frac{n}{2}(a + T_n)[/tex]

Where n = 11

a = First term = 15

T_n = Last term = 75

The formula becomes

[tex]S_{11} = \frac{11}{2}(15 + 75)[/tex]

[tex]S_{11} = \frac{11}{2}(90)[/tex]

[tex]S_{11} = \frac{11 * 90}{2}[/tex]

[tex]S_{11} = \frac{990}{2}[/tex]

[tex]S_{11} = 495[/tex]

Hence, the series when evaluated is 495

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

Since both equations are equal to y, set them equal to each other

2x+3 = -3x+3

Subtract 3 from each side

2x = -3x

Add 3x to each sdie

2x+3x = -3x+3x

5x =0

Divide by 5

x=0

Now solve for y

y =2x+3

y = 0+3

y=3

(0,3)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

2x+3 = -3x+3

2x = -3x

2x+3x = -3x+3x

5x =0

x=0

The solve for y

y =2x+3

y = 0+3

y=3

(x,y)=(0,3)

Then (0,3) will be your answer!

Hope this help!

Answer:

D) 12,672 in^3

Step-by-step explanation:

V = LWH = 18 in * 16 in * 44 in = 12,672 in^3

Answer:

12,672 in3 I think

Step-by-step explanation:

Answer:

The expected value of the points earned on a single roll in this game is [tex]\dfrac{1}{6} = 0.1667[/tex] .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is   [tex]\dfrac{1}{6}[/tex] .

      Numbers on the dice (X)                       P(X)

                      +1                                                 [tex]\frac{1}{6}[/tex]

                      +2                                                [tex]\frac{1}{6}[/tex]

                      +3                                                [tex]\frac{1}{6}[/tex]

                      -4                                                 [tex]\frac{1}{6}[/tex]

                      +5                                                [tex]\frac{1}{6}[/tex]

                      -6                                                 [tex]\frac{1}{6}[/tex]

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X)  =  [tex]\sum X \times P(X)[/tex]

   =  [tex](+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}[/tex]

   =  [tex]\frac{1}{6} + \frac{2}{6} + \frac{3}{6} - \frac{4}{6} + \frac{5}{6} - \frac{6}{6}[/tex]

   =  [tex]\frac{1+2+3-4+5-6}{6}[/tex]

   =  [tex]\frac{11-10}{6}= \frac{1}{6}[/tex]

Hence, the expected value of the points earned on a single roll in this game is  [tex]\frac{1}{6} = 0.1667[/tex] .

Answer:

  the first player wins

Step-by-step explanation:

The first player can always win if they adopt this strategy:

  1. make the first move in the center of the board

  2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.

Hence if the 2nd player can make a move, so can the first.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,

Number of ways = ⁶P₃ × 3!

                            = 120 × 6

                            = 720

Hence, The number of ways in which 6 marbles can be put in three different jars is 720.

Learn more about Permutation:

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Answer:

(-5,0)

Step-by-step explanation:

Answer:

(-5,0)

Hope this help!

Answer:

100

Step-by-step explanation:

A rhombus is split into four right triangles

The base of one is 5 and the hypontenuse is 10

So remember x^2y^2=z^2

5^2=25

25+y^2=100

Ok so y is between 8 and 9 so lets just use 8 first

5*8*1/2=20

there are 4 triangles so 20*4=80

now same thing with 9

5*9*1/2=22.5

22.5*4=90

your answer is between 80 and 90

btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it

Answer:

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Step-by-step explanation:

Information is missing in the question, which would be the following:

A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

The options for answering the question are also missing, which by investigating I could know that they are as follows:

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True

B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.

C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Now we have that a conditional statement has the form of whether A then B.

Also, A contradictory statement is when we exchange the hypothesis and the conclusion of the sentence and deny them both. It has the following form if not A, then not B.

Therefore the answer is D)

Answer:

1487

Step-by-step explanation:

The inequality is 0.04m + 10 ≥ 69.48. We use ≥ and not > because it says "least", indicating that we need to use the ≥ sign. Solving for m we get:

0.04m + 10 ≥ 69.48

0.04m ≥ 59.48

m ≥ 1487

The smallest integer that satisfies this inequality is 1487 minutes.

Answer:

2.8 in

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end and h is the length )

A = [tex]\frac{1}{2}[/tex] × x × x = [tex]\frac{1}{2}[/tex] x² , thus

V = [tex]\frac{1}{2}[/tex] x² × x = 4 , that is

[tex]\frac{1}{2}[/tex] x³ = 4 ( multiply both sides by 2 )

x³ = 8 ( take the cube root of both sides )

x = [tex]\sqrt[3]{8}[/tex] = 2

Using Pythagoras' identity on the right triangle with hypotenuse y, then

y² = x² + x² = 2² + 2² = 4 + 4 = 8 ( take the square root of both sides )

y = [tex]\sqrt{8}[/tex] ≈ 2.8 in ( to the nearest tenth )

Answer:

[tex]x^{2}+9y^{2}+22[/tex]

Step-by-step explanation:

[tex](x+4)+(x+4)+(3y)+(3y)+(7)+(7)[/tex]

this can be simplified to: [tex]x^{2}+9y^{2}+22[/tex]