A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

Answers

Answer 1

Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].

The given coordinates of the given table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).

We need to write a valid prediction about the continuous function f(x).

What is the continuous function?

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Now, it is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at x = 1.

So, the value of f(x) remains positive within the interval of [-1,1].

Therefore, we can write it as f(x) ≥ 0 over the interval [-1,1].

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Related Questions

In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them
play baseball. There are 5 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

.7692307692 or 10/26

Step-by-step explanation:

You solve this problem by finding the total number of sports playing students and dividing it by the total, in this case 26. Since we know there are 5 students that play both sports, you subtract that 5 from the total number of basketball plyers and baseball players, so 16-5=11 and 9-5=4, then add those together, so 11+4=15. From there you add back in the students that play both which is 5, so 15+5=20. 20/26 is your answer.

Ms. Jerome wants to buy identical boxes of art supplies for her 25
students. If she can spend no more than $375 on art supplies,
what inequality describes the price can she afford for each
individual box of supplies, b?

Answers

The inequality describes the price $375  she can afford for 25

individual box of supplies will be $375 ≥ 25x.

What is inequality?

An inequality is comparison of  two values, showing if one is less than, greater than, or simply not equal to another value.

Let the price of each box is $x.

The inequality describes the price can she afford for each

individual box of supplies will be $375 ≥ 25x.

Therefore inequality is $375 ≥ 25x.

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In the figure shown below, AC is parallel to DE with transversal BF

Determine the values of x and y

PLEASE SHOW WORK FOR THIS!


x=_______
y=_______

Answers

Answer:

X = 142°Y = 38°

Given - AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

The diagram shows a line joining O to P.
The gradient of the line is 2
The length of the line is √2645
Work out the coordinates of P.​

Answers

Answer: (23, 46)

Step-by-step explanation:

The equation of the line is y = 2x, and we can thus represent point P as (x, 2x)

Substituting into the distance formula,

[tex]\sqrt{2645}=\sqrt{(x)^{2}+(2x)^{2}}\\\\2645=x^2 + (2x)^2\\\\2645=x^2 + 4x^2\\\\2645=5x^2\\\\529=x^2\\\\x=23[/tex]

Thus, the coordinates of P are (23, 46)

Determine whether each set of data can be modeled by an exponential function. If so, find the exponential
function that fits the data.

Answers

Answer: The data cannot be modeled by an exponential function because the data is for a linear function (as there is a constant increase in f(x) each time x increases by 1)

Given: A = { -1,5,6} B = {-1,2,3,4,6,8} Find the union of sets A and B.

Answers

Step-by-step explanation:

{-1,2,3,4,5,6,8} is the answer

Solve the quadratic equation numerically (using tables of x- and y- values). x squared + 7 x + 12 = 0 a. x = -1 or x = -1 c. x = -3 or x = -3 b. x = -4 or x = -3 d. x = 2 or x = -1 Please select the best answer from the choices provided

Answers

Answer:

b. x = -4 or x = -3

Step-by-step explanation:

[tex]x^{2} +7x+12[/tex]

To factor this, come up with two numbers that can be multiplied together to get 12, but add to get 7.

We get 4 and 3.

4 + 3 = 7

4 x 3 = 12

Now we can factor with these two numbers:

[tex](x+4)(x+3) = 0[/tex]

Now, solve for x by separating the factors:

[tex]x + 4 = 0[/tex]

[tex]x = -4[/tex]

And,

[tex]x + 3 = 0[/tex]

[tex]x = -3[/tex]

So, the answers are -4 and -3.

HELP me find percentage qwq

Answers

Answer:

option B or 40%

Step-by-step explanation:

Well if 14/35 of the class is male. You divide 14 by 35. And after using calculator I see the answer is 40% of the class is male.

Thank

Solve for u. -5/6u = 15

Answers

Answer:

u = -18

Step-by-step explanation:

[tex]\frac{-5u}{6} =15[/tex]

Multiply both sides by 6.

-5u = 15 × 6

-5u = 90

Divide both sides by -5.

u = -18

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 80% salt. She wants to obtain 120 ounces of a mixture that is 70% salt. How many ounces of each solution should she use?

Answers

We can use these variables:

A = number of ounces for solution A
B = Number of ounces for solution B

A + B = 20

Now, we can use decimal conversions.

0.65A + 0.80B = 0.70(120)

Next step: We substitute A into 120 - B to show their relationship.

0.65(120 - B) + 0.80B = 84

Now onto the next equation:

78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…

0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces

To find A, we can simply plug B into the starting equation.

A = 120 - 40
A = 60 ounces

Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah

Write the number five and a quarter million in figures.

Answers

Answer:

5 and a 250,000

Step-by-step explanation:

A quarter million = 1,000,000 · [tex]\frac{1}{4}[/tex] = 250,000

Answer:

It is: 5,250,000

( Math ) Please explain how you got this answer! Please use substitution method!

Answers

Answer:

y = 1

x = -2

Step-by-step explanation:

During the substitution method, you are substituting one function into another. Because both functions are set equal to "x", you can make the functions equal each other. This allows you to 'get rid' of the "x" variable and simplify to find the value of "y".

5A) x = -2y

5B) x = 2 - 4y

-2y = 2 - 4y                     <----- Set both equations equal

2y = 2                             <----- Add 4y to both sides

y = 1                                <----- Divide both sides by 2

Now that you know what "y" equals, you can plug that value into the "y" variable into one of the equations. This will allow you to then simplify and find the answer for "x".

x = -2y                             <----- Equation 5A

x = -2(1)                           <----- Plug 1 into "y"

x = -2                              <----- Multiply -2 and 1

A cone has a volume of 350 cubic meters. The area of the base is 70 square meters. What is the height of the cone? Show work

Answers

Answer: The height is 15

Step-by-step explanation:

Vcone =  pi * r^2 * h  / 3

Area of the base  =  pi*r^2  = 70   so...

350  = 70 * h / 3  

350  = (70/3) * h     multiply both sides by 3/70

350 (3/70)  = h  = 15 m

Evaluate the piecewise-defined function for the indicated values. I’m just unsure of how to solve when the value isn’t given directly. Namely, how to solve for b through d

Answers

The value of the function at t=0 is 9 , 6<x<7 is -t+5, 1<n<2 is 9, for [tex]m^{2} +1[/tex] is 9.

Given function which is 9 for 0 to 5 , -t+5 for 5 to 8 and [tex]\sqrt{t-1}[/tex] for 8<t<11.

A) We have to find the function at t=0 which is 9 because it lies between 0<=t<5.

B) In this we have to find the value of the function when x=t lies between 6 and 7. is -t+5.

C) In this we have to find the value of Q(n) when n lies between 1 and 2 and the value becomes 9 because it lies between 0 and 5.

D) In this we have to find the function at [tex]m^{2} +1[/tex] when m belongs to [tex]\sqrt{7} and \sqrt{10}[/tex] the value of m lies between 2 and 4 and the value of m square +1 lies between 3 and 5. Hence the value of function at m square plus one is 9.

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Which expression simplifies to 2 divided 15 ?

Answers

Answer: 4/30

Step-by-step explanation:

it does

the answer is 4/30
step by step equation

Name the corresponding part if polygon WXYZ ≅ polygon PQRS.

Question: QP =

Answers

The corresponding part of PQ is WX

How to determine the corresponding parts?

The congruent statement is given as:

polygon WXYZ ≅ polygon PQRS.

This means that the corresponding points are:

W and P, X and Q, Y and R, Z and S

When two points Q and P are joined together, we have:

polygon WX ≅ polygon PQ

Hence, the corresponding part of PQ is WX

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(04.01, 04.02 HC)

Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he plays volleyball.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points)

Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)

Part C: Is it possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? Explain your reasoning. (2 points)

Answers

Eric spend 60 minutes for basketball and 35 minutes for volleyball.

What is Linear Equation?

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, let Eric plays basketball for x minutes.

          and volleyball for y minutes.

Total time spend on playing basketball and volleyball everyday = 95 minutes.

Duration of Basketball 25 minutes more than volleyball

Now, according to question,

          x + y = 95        ..........(i)

          x - 25 = y          ...........(ii)

On solving equation (i) and (ii), we get

        x + x - 25 = 95

           2x = 95 + 25

           2x = 120

            x = 120 / 2

            x = 60

put value of x in equation (ii), we get

        60 - 25 = y

          y = 35

Yes, it is possible and clearly described in above calculation.

Thus, Eric spend 60 minutes for basketball and 35 minutes for volleyball.

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The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours. Daryl plans to be gone at least 6 hours, and he has a plant outside. If he wants the plant to remain in temperatures above -10° should Daryl move the plant to a warmer location before leaving

Answers

The inequality equation will be -5x + 20 < -10.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign.

The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours.

Daryl plans to be gone at least 6 hours, and he has a plant outside.

If he wants the plant to remain in temperatures above -10° should Daryl move the plant to a warmer location before leaving will be

The inequality equation will be

-5x + 20 < -10

where x is the number of hours.

Then we have

-10 < -5x + 20

5x > 30

   x > 6 hours

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a
b
c
or d
question is in picture

Answers

A, -9 ≤ -3X -6 ≤ 6

What is inequality?

Inequality is an algebraic statement that shows that two quantities are unequal.

Analysis:

From the above, only A, is the correct inequality represented above.

solving for x in A, we have,

-9 ≤ -3x - 6 ≤ 6

splitting,

-9 ≤ -3x -6

-3 ≤ -3x

1 ≥ x

x ≤ 1

-3x-6 ≤ 6

-3x ≤ 12

x ≥ 12/-3 ≥ -4

-4 ≤x ≤1, A

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calculus piecewise function. ​

Answers

Part A

The notation [tex]\lim_{x \to 2^{+}}f(x)[/tex] means that we're approaching x = 2 from the right hand side (aka positive side). This is known as a right hand limit.

So we could start at say x = 2.5 and get closer to 2 by getting to x = 2.4 then to x = 2.3 then 2.2, 2.1, 2.01, 2.001, etc

We don't actually arrive at x = 2 itself. We simply move closer and closer.

Since we're on the positive or right hand side of 2, this means we go with the rule involving x > 2

Therefore f(x) = (x/2) + 1

Plug in x = 2 to find that...

f(x) = (x/2) + 1

f(2) = (2/2) + 1

f(2) = 2

This shows [tex]\lim_{x \to 2^{+}}f(x) = 2[/tex]

Then for the left hand limit [tex]\lim_{x \to 2^{-}}f(x)[/tex], we'll involve x < 2 and we go for the first piece. So,

f(x) = 3-x

f(2) = 3-2

f(2) = 1

Therefore, [tex]\lim_{x \to 2^{-}}f(x) = 1[/tex]

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

Part B

Because [tex]\lim_{x \to 2^{+}}f(x) \ne \lim_{x \to 2^{-}}f(x)[/tex] this means that the limit [tex]\lim_{x \to 2}f(x)[/tex] does not exist.

If you are a visual learner, check out the graph below of the piecewise function. Notice the gap or disconnect at x = 2. This can be thought of as two roads that are disconnected. There's no way for a car to go from one road to the other. Because of this disconnect, the limit doesn't exist at x = 2.

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

Part C

You'll follow the same type of steps shown in part A.

However, keep in mind that x = 4 is above x = 2, so we'll deal with x > 2 only.

So you'd only involve the second piece f(x) = (x/2) + 1

You should find that f(4) = 3, and that both left and right hand limits equal this value. The left and right hand limits approach the same y value. The limit does exist here. There are no gaps to worry about when x = 4.

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

Part D

As mentioned earlier, since [tex]\lim_{x \to 4^{+}}f(x) = \lim_{x \to 4^{-}}f(x) = 3[/tex], this means the limit [tex]\lim_{x \to 4}f(x)[/tex] does exist and it's equal to 3.

As x gets closer and closer to 4, the y values are approaching 3. This applies to both directions.

Finding the Domain and Range of a Graph
Determine the domain and range for the graph below. Write your answer in interval notation and in set
builder form using a compound inequality.
Note: To type in the sign, type <= or use the Math Quill by clicking the yellow arrow.

Answers

Answer:

Domain: Interval notation is [tex](-3, 4][/tex], set builder is [tex]\{x|-3 < x\leq4 \}[/tex]Range: Interval notation is [tex][0, 3)[/tex], set builder is [tex]\{y|0\leq y < 3\}[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

which function has an asymptote at x=5 and an x-intercept of (6,0)?

Answers

The function is f(x) = log(x - 5).

What is Asymptotes?

A line or curve that acts as the limit of another line or curve.

The complete question is

Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5

let us take,

f(x) = log(x - 5)

y = 0, then

0 = log(x-5)

x - 5 = [tex]e^{0}[/tex]

x - 5 = 1

x = 6

So, it can be conclude that the x-intercept is at (6, 0)

Hence, the function is f(x) = log(x - 5).

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Suppose you work 45 hours at a rate of 7.25 per hour pluse overtime pay for any hours over 40. You also received a 2% commission on the $800 of chinatableware you sold. Your paycheck lists 324.25 as your gross earnings is that correct

Answers

No, your paycheck is incorrect. The gross salary will be 342.25.

What is the gross salary?

The amount of money paid to any employee without any deductions of the taxes or anything is called as gross salary.

The gross salary will be calculated as follows:-

40x 7.25= $290.00 (base salary)

5x  7.25 = 36.25  (overtime)

.02x 800= 16.00 (commission)

Gross salary will be = 36.25 + 16  + 290 = $324.25

Therefore your paycheck is incorrect. The gross salary will be 342.25.

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Could someone answer the rest please!
Much appreciated if you do (:

Answers

Answer:

shown below

Step-by-step explanation:

4 x 2 = 8

1 x 2 = 2

a⁸b²

(a⁵b²)(a²b⁶)

a⁷a⁵b⁶b²a²b⁸

a¹⁴b¹⁶

8 - 14 = -6

2 - 16 = -14

a^-6 b^-14

next one

25^3x-21

/

25^2x+14

1^x-35

How do I get this answer?

Answers

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

cos(2x) = cos²(x) -sin²(x)cos²(x) +sin²(x) = 1cos(x) = 1/sec(x)

Proof

Starting with the left side, we can transform it into the right side.

  [tex]2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}[/tex]

Please help and show the steps.

How do you figure out the equation to graph it

g(x)=(x-1)^2-1

Answers

Answer:

Graph of the given equation is a opening up parabola passing through origin (0,0) and (2,0) and having vertex (1,-1)

Step-by-step explanation:

parabola - it is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

vertex - The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

the given equation can be resolved as:

[tex]g(x)=(x-1)^2-1\\g(x) = x^2 -2x +1 -1\\g(x) = x^2 - 2x[/tex]

now substituting x = 0,

[tex]g(x) = x^2 - 2x\\g(x) = (0)^2- 2(0)\\g(x) = 0[/tex]

therefore the equation satisfies the point (0,0)that is origin.

now putting g(x) = 0,

[tex]g(x) = x^2 - 2x\\0 = x^2- 2x\\2x = x^2\\2=x[/tex]

so when y coordinate is 0 x coordinate is 2,

therefore the equation also satisfies the (2,0)

general equation of a parabola is

[tex]f(x) = ax^2 + bx + c[/tex]

and the vertex of the parabola is given by  [tex]\frac{-b}{2a}{,}{f{(}\frac{-b}{2a}{)}}[/tex]

given equation of parabola [tex]g(x) = x^2 - 2x[/tex]

here a = 1 and b= -2

substituting in the vertex formula,

vertex of the parabola is [tex]{(}{1}{,}{f{(}{1}{)}}{)}[/tex]

[tex]f(1) = 1 - 2 = -1[/tex]

therefore the vertex is (1,-1).

so the parabola is passing through origin(0,0) and (2,0) with vertex (1,-1).

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can someone help me ​

Answers

Answer:

See Pictures

Step-by-step explanation:

What is the solution set for the following inequality? 4x – 3 + 6x > 5x + 7

Answers

Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2

Rewrite without parentheses.
-9²x4 (7x²-6w+2)
Simplify your answer as much ac

Answers

Answer:

2268x²-1944w+648

-9² = 81

81×4 =324

use the 324 to remove the bracket

You buy a CD for $9000 that earns $172.92 in interest every 2 months. What is the
annual yield on your investment?

Answers

Answer:

$4,000.343

Step-by-step explanation:

Divided the months of the year and caculate the intrest.

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