3. What are the approximate zeros of the function f(x) = x³ - 2x²-3x+1?
(round to tenth place)

Explanation:

x = some unknown number

"A number less than 12" translates to x < 12

This number x is also more than -16, so x > -16 which is the same as -16 < x

Combine -16 < x with x < 12 to end up with -16 < x < 12

x is between -16 and 12, excluding both endpoints.

A number line diagram might help picture what is going on.

Answer:

-16<x< 12

Step-by-step explanation:

it's simple algebra. -16 is less than x which x is less than 12. X is more than -16 but less than 12

Answer:

[tex]\sf -1\dfrac{31}{33}[/tex]

Step-by-step explanation:

Fraction division:

         [tex]\sf -5\dfrac{1}{3}=\dfrac{-16}{3}\\\\\\2\dfrac{3}{4}=\dfrac{11}{4}[/tex]

         [tex]\sf \dfrac{-16}{3} \ \div \ \dfrac{11}{4}=\dfrac{-16}{3}*\dfrac{4}{11}[/tex]

                            [tex]\sf = \dfrac{(-16)*4}{3*11}\\\\=\dfrac{-64}{33}\\\\[/tex]

                             [tex]\sf = -1\dfrac{31}{33}[/tex]              

Answer: -64/33 or -1 31/33

Step-by-step explanation:

First, whenever you are dividing mixed fractions we always convert them to an improper fraction, so let’s do that first.

We multiply the whole number to the denominator and then add that number to the numerator.
-5 1/3

This would be (-5*3) + -1(note that since it’s a negative number, we would have to subtract this

= -16, and add the original denominator 3 also, so it’s -16/3

Do the same for 2 3/4

(2*4) + 3 = 11

11/4

(-16/3) / (11/4)

Now to convert this expression into multiplication, we use the reciprocal(flipped version) of the divisor

11/4 would become 4/11

Which makes the expression:

(-16/3) * (4/11)

Now just multiply the denominators with each other and the numerators

-16*4 = -64

3*11 = 33

Your answer would be -64/33 or in mixed fraction form, -1 31/33

The product expression (5ab) x (- 2a²b)³ has a value of -40a⁷b⁴, when evaluated

The expressions are given as

(5ab) and (- 2a^2 b)^3

This means that

The product expression is the product of (5ab) and (- 2a²b)³

Rewrite the expression as:

(5ab) x (- 2a²b)³

Open the brackets in the above expression

So, we have

(5ab) x (- 2a²b)³ =  5ab x (-2)³ x (a²)³ * (b)³

Evaluate the exponents

So, we have

(5ab) x (- 2a²b)³ =  5ab x (-8) x a⁶ * b³

Evaluate the products of the variables

This gives

(5ab) x (- 2a²b)³ =  5a⁷b⁴ x (-8)

Evaluate the other products

This gives

(5ab) x (- 2a²b)³ =  -40a⁷b⁴

Hence, the value of the product expression is -40a⁷b⁴

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The graph of y is vertically compressed by an factor of √8 which is the transformation of the function.

The important technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of the various algebraic equations which is a particular  kind of algebraic problem.

The base or parent function is y=√8x³+1.

Here the transformed function is y= x³+1.

Therefore the graph is vertically transformed by the factor of √8 .

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Time take to read a book that has 218 pages is  196.2

According to the question, given that

Time takes to read 5 pages of a book can be represented equation y equal to 4.5  divided by 5 times

where y represents the total time in minutes and x represents the number of pages read

Time take to read a book that has 218 pages.

x = [tex]218*\frac{4.5}{5}[/tex]

  = [tex]\frac{981}{5}[/tex]

  = 196.2

Therefore, we get time 196.2 to read a book that has 218 pages.

Depending on which values you input into the reading time , you can find out:

- How much time per day should you allocate to finish in x days;

- How much time does it take to read this book

- What the total reading time will be (in hours);

- How many pages you'll be able to read in a given time; and

- How fast you should read to finish this book on time.

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Answer:

Time take to read a book that has 218 pages is  196.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Annabelle did not make a mistake. you have to substitute 0 in for x then dived the equation by 2 giving you the answer of 4. She is correct. A rockstar as the answer says. :) hope this helped!

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

Reason:

She wants to find the y value when x = 0. This is why she replaced every copy of x with 0. Step 1 is correct.

Step 2 is also correct because 3 times 0 is 0. She multiplied correctly.

Step 3 is correct because she needs to undo the "2 times" that is applied to y, in order to isolate it. Division is the inverse operation of multiplication.

Step 4 is correct because 8/2 is 4

Every step she did is correct, and so is the final answer.

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

Here's one way Annabelle could check her work

3x+2y = 8

3*0+2*4 = 8 .... plug in x = 0 and y = 4

0 + 8 = 8

8 = 8

We get the same thing on both sides, which confirms that x = 0 pairs up with y = 4. In other words, (x,y) = (0,4) is a solution to 3x+2y = 8.

The point (0,4) is on the line 3x+2y = 8. This point is the y intercept where the graph crosses the y axis.

LCM  of 17, 23, 29   = 11339

HCF of 17, 23, 29     = 1

How to find LCM and HCF by prime factorization?

The numbers 17, 23, 29 are prime  numbers themselves.

By prime factorization we consider only the prime factors.

LCM of 17, 23, 29  = 17 ×23 ×29  (Since the numbers are prime)

                             =11339

HCF of 17, 23, 29 = 1    (Since the  common factor is 1)

What is prime factorization?

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The correct option is (1.)

i.e., (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7

Associative Property of Multiplication:

Associative property is defined as, when more than two numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.

To find the which equation applies the associative property of multiplication?

Now, According to the question:

1. (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7

Identity Property used

Associative Property of Multiplication

2. -6/5 (5/3 - 1/4) = (-6/5 - 5/3) - 1/4

Identity Property used

No Property.

3. (-1/2 . 4/7) + (-1/2 . 2/3) = -1/2 . (4/7 + 2/3)

Identity Property used

No Property

4.   8/9 . 7/4 (-5/8) = 8/9 . (-5/8) . 7/4

Identity Property used

Commutative Property of Multiplication.

Hence, The correct option is (1.)

i.e., (-9/4 . 3/2) . (6/3 . 5/7) = -9/4 . (3/2 . 6/3) .5/7

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Answer:

20:12 32:50 24:40 3:5 14:40

Answer:

T(2,-1)

Q(3,1)

S(0,-2)

R(3,-3)

According to the concept of scales, the scale length of the scale model of the 1940 Ford pickup truck is 10.5 inches.

Scale models are useful resource to describe huge and tiny system at a reasonable scale, whose dimensions are derived from the concept of scale, which relates scale lengths to real lengths in the following manner:

d' = r · d

Where:

If we know that d = 15.75 ft and r = 2 / 3 in / ft, then the scale length of the 1940 Ford pickup truck is:

d' = (2 / 3 in / ft) · (15.75 ft)

d' = 10.5 in

By using the concept of scale, the length of the scale model is 10.5 inches.

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Simple interest is the interest calculated on the principal at a given rate for a time period.

The equation used to solve for the rate of interest r is r = (A/P - 1) / t.

It is the interest calculated on the principal at a given rate for a time period.

We have,

A = P + Prt ______(1)

A = amount

P = principal

r = rate

t = time in years

To find the rate of interest we will have to solve (1).

A = P + Prt

A = P (1 + rt)

A/P = 1 + rt

Subtract 1 on both sides.

A/P - 1 = rt

Divide t on both sides.

(A/P - 1) / t = r

r = (A/P - 1) / t

Thus,

The equation used to solve for the rate of interest r is r = (A/P - 1) / t.

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Answer:

They're all false??? Do them on a calculator!

Answer:

It allows us to disregard the shape of the population when n is large.

Step-by-step explanation:

When the sample size is large it gets close to a normal distribution regardless of the actual distribution shape of the population.

If Natasha is taking out a three week payday loan for $400. He will be charged with $70 interest for a 3 week loan. the APR (annual percentage rate) is $304.2

Using this formula to determine the annual percentage rate
APR = [(( interest/principal)/number  of days )×365]×100

Principal = $400

Interest = $70

Number of days = 3 weeks = 21 days

Let plug in the formula

APR  = [(( 70 / 400)/ 21) ×365 ] ×100

APR  = 0.008333 x 365 × 100

APR =  304.166

APR = 304 .2 (Approximately)

Therefore the APR is $304.2.

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Answer:

508

Step-by-step explanation:

Answer:

Step-by-step explanation:

56x7=392+89=481-45=436+72=508

Answer:

Vertex (4,-1)

Axis Symmetry: x=4

x: 2,3,4,5,6

y: 3,0,-1,0,3

Step-by-step explanation:

The download is the graph

The set of possible values of k is (-17/8, ∞).

What are the conditions for a quadratic equation not to have real roots?
A quadratic function has no actual roots and the parabola it represents does not intersect the x-axis if its discriminant is less than zero.
What is the discriminant of a quadratic equation?
A polynomial's discriminant is a function of its coefficients and is denoted by a capital "D" or the symbol for the delta (Δ). In any quadratic equation where a, b, and c are rational numbers, it demonstrates the nature of the roots. With a quadratic equation, the real roots or the number of x-intercepts are easily demonstrated. This equation is used to determine if the quadratic equation's roots are real or imaginary.
For a quadratic equation as ax² + bx + c = 0, the discriminant is
Δ = b² - 4ac

Given, the quadratic equation is 2x² + (-3)x + (-1 - k) = 0
Comparing this to the standard form of quadratic equation, the value of the discriminant is: Δ = b² - 4ac = (-3)² - 4(2)(-1 -k) = 9 + 8(k + 1) = 17 + 8k
Following the condition established in the literature above, Δ<0
Therefore, 17 + 8k < 0 ⇒ 17 < -8k ⇒ k > (-17/8)
Thus, the set of possible values of k is (-17/8, ∞)

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ANSWER: 150

EXPLANATION

Based on the given conditions, formulate: 1500 divided 10

Cross out the common factor: 150

get the result: 150

Answer: 150

your welcome

Answer: 100

Step-by-step explanation:

Given:

a circle of radius = r = 5 inches

We will find the length of the arc subtended by a central angle of 220 degrees

We will use the following formula:

Substitute with r = 5, and θ = 220

So, the langth of the arc will be as follows:

Rounding to the nearest hundredth

So, the answer will be the length of the arc = 19.20 inches

The price of iphone in £ will costs £825 in London, £848.21 in Paris and  £839.16 in New York .The lowest value of iphone in London which costs  £825.

We had given the following information that An iphone costs £825 in London, €950 in Paris and $1,200 in New York.

We have to find the lowest price of iphone among the given iphone prices

We had to find the lowest price in £ .

Therefore we have to convert all the given prices into £.

For the conversion of prices we had given that  £1 = €1.12 and £1 = $1.43.

Now In Paris iphone costs €950. Converting €950 into £ will be as follows

 £1 = € 1.12.

∴ £x = € 950.

∴ x = £848.21.

Now In New York iphone costs $1,200. Converting $1,200 into £ will be as follows

£1 = $1.43.

∴ £x = $1,200

∴ x = £839.16.

Now the price of iphone in £ will costs £825 in London, £848.21 in Paris and  £839.16 in New York.

Therefore by comparison we get the lowest value of iphone in London which costs  £825.

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Answer:

22/7, _/32/3, 3.3, _/11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain and range are [0, 800] and [0, 800], respectively.

Complete question: Carly is traveling to visit family. She drives x miles on the first day and y miles on the second day for a total of 800 miles. What are the domain and range of this relationship?

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Using proportions, it is found that:

a) Jana runs faster, due to the higher velocity.

b) Jana's speed is of 47,520 feet per hour.

c) Jana's speed is of 792 feet per minute.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using relations with operations such as multiplication and division.

One example of the application of proportions in this problem is for the relation between velocity, distance and time, as velocity is distance divided by time, that is:

v = d/t.

Hence the velocities in this problem are given as follows:

Due to the higher velocity, Jana runs faster.

Another application of proportions is for conversion of units. Each mile has 5280 feet, hence Jana's speed in feet per hour is given by:

9 x 5280 = 47,520 feet per hour.

Each hour has 60 minutes, hence Jana's speed in feet per minute is given by:

47520/60 = 792 feet per minute.

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The required number of calories burned at the 4 miles of running is 160 calories. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The rate of the calorie burning per mile  = 40 calorie/mile,
For the running of the 4 miles,
Calorie burned at 4 mile of running = 40 (4) = 160 calories,

Thus, the required number of calories burned at the 4 miles of running is 160 calories.

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Answer:

this can be impossible

Step-by-step explanation:

Answer: A, B, D

Step-by-step explanation:

1) Find all expressions that will result in 3c + 1.50

A) 1.50 + 3c

= 3c + 1.50

Yes!

B) (0.50+c)3

=1.5+3c

= 3c + 1.50

Yes!

C) 3.50c + 1

No!

D) 3(c+0.5)

=3c+1.50

Yes!

E) 4.50c

No!

Answer:

Step-by-step explanation: A,B,D