Determine between which consecutive integers the real zeros of f(x) = x2 – 3x + 1 are located.
between -1&0,0&1 and 2&3
between -1&0,0&1 and 1&2
between -28-1,0&1 and 1&2
between -2&1, 0&1 and 1&2

Answer:

I think it's 4 but don't hold me to it

Step-by-step explanation:

Answer:

y = 80+ 15*x

members = initial membership + growth* months

y = 80+ 15*x

Answer:b=8

Step-by-step explanation:14-10=4 then you do 4(2)=8

Answer: w = 5

Step-by-step explanation:

Since ST ≅ SV, then ∠SUT ≅ ∠SUV

w + 10 = 3w

      10 = 2w

        5 = w

Answer:

Step-by-step explanation:

10mm is 1cm

100mm is 10cm

200mm is 20cm

300mm is 30cm

400mm is 40cm

450mm is 45cm

So 45cm equals 450mm

Answer:

The answer is 45cm = 450mm.

Step-by-step explanation:

Given that 1cm = 10mm so for this question :

[tex]1cm = 10mm[/tex]

[tex]45cm = 10mm \times 45[/tex]

[tex]45cm = 450mm[/tex]

Answer:

5000

Step-by-step explanation:

Answer:

f(x) = 2x³ - 12x² - 2x + 60

Step-by-step explanation:

Given that the zeros are x = - 2, x = 3, x = 5 , then the factors are

(x + 2), (x - 3), (x - 5)

The polynomial is then the product of the factors, that is

f(x) = a(x + 2)(x - 3)(x - 5) ← a is a multiplier

To find a substitute (6, 48) into the polynomial

48 = a(8)(3)(1) = 24a ( divide both sides by 24 )

a = 2 , thus

f(x) = 2(x + 2)(x - 3)(x - 5) ← expand the last 2 factors using FOIL

     = 2(x + 2)(x² - 8x + 15) ← distribute the parenthesis

     = 2(x³ - 8x² + 15x + 2x² - 16x + 30)

     = 2(x³ - 6x² - x + 30) ← distribute by 2

     = 2x³ - 12x² - 2x + 60

Using the factor theorem, it is found that the polynomial function is given by:

[tex]p(x) = 2(x^3 - 6x^2 - x + 30)[/tex]

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

Factor theorem:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

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

The polynomial is given by:

[tex]p(x) = a(x - x_1)(x - x_2)(x-x_3)[/tex]

[tex]p(x) = a(x - (-2))(x - 3)(x - 5)[/tex]

[tex]p(x) = a(x + 2)(x - 3)(x - 5)[/tex]

[tex]p(x) = a(x^2 - x - 6)(x - 5)[/tex]

[tex]p(x) = a(x^3 - 6x^2 - x + 30)[/tex]

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

[tex]p(x) = a(x^3 - 6x^2 - x + 30)[/tex]

[tex]48 = a(6^3 - 6(6)^2 - (6) + 30)[/tex]

[tex]24a = 48[/tex]

[tex]a = \frac{48}{24}[/tex]

[tex]a = 2[/tex]

Thus, the polynomial is given by:

[tex]p(x) = 2(x^3 - 6x^2 - x + 30)[/tex]

A similar question is given at https://brainly.com/question/24380382

Answer:

-2.17 and -7.83

Step-by-step explanation:

[tex]4(x+5)^2=32[/tex]

Divide both sides by 4:

[tex](x+5)^2=8[/tex]

Take the square root of both sides:

[tex]x+5=\pm 2\sqrt{2}[/tex]

Subtract 5 from both sides:

[tex]x=-5\pm 2\sqrt{2}\approx -2.17, -7.83[/tex]

Hope this helps!

Answer:

-92(I think I am wrong, now that I think of it.)

Step-by-step explanation:

4(x+5)^2= 32= 4x+20^2= 32= 4x+400= 32= 4x= -368= -92

20^2= 400

32-400= -368

-368/4= -92

Answer:

$13.58

Step-by-step explanation:

3% of $14 is 0.42.

You do 14 - 0.42

Hope this helps!

Answer:

The variable is the main part, it is the base of the whole thing

The variable is the main part, it is the base of the whole thing that shows all the critical points for the inequality ? , x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2.

Solve a rational inequality.

Determine the critical points–the points where the rational expression will be zero or undefined. Use the critical points to divide the number line into intervals. Test a value in each interval. Above the number, the line shows the sign of each factor of the rational expression in each interval.

To find the critical points of a function y = f(x), just find x-values where the derivative f'(x) = 0 and also the x-values where f'(x) is not defined. These would give the x-values of the critical points and substituting each of them in y = f(x) will give the y-values of the critical points.

Learn more about critical points for the inequality at

https://brainly.com/question/12476632

#SPJ2

Answer:

5x to the 2nd power

Step-by-step explanation:

The equation of the newly translated graph is y = 5x².

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The translated graph is represented by the equation y = 5x². The graph of the two equations is attached with the answer below.

Therefore, the equation of the newly translated graph is y = 5x².

To know more about graphs follow

https://brainly.com/question/11337174

#SPJ5

Answer:

y = -6

Step-by-step explanation:

To simplify this equation as much as possible, we have to get the variable y by itself.

To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.

-7 + 7 + 5y = -37 + 7

The 7s cancel out on the left side because -7+7 = 0 and so we are left with,

5y = -30

Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.

5y/5 = -30/5

y = -6

So,

m<1=45, m<2=135

So the right answer is of option D.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

5 sides

Step-by-step explanation:

Area=1/2aP

180=1/2(6)(12x)

3(12x)=180

36x=180

x=5

Answer:

10.52 inches away

Step-by-step explanation:

200/19

Answer:

5/18

Step-by-step explanation

when you divide 5/6 by 3 you multiply 5/6 by 1/3 and you get 5/18!

I hope this helps!

Answer:

$64

Step-by-step explanation:

Since the store buys the racket for $40 then marks it up, the store is selling it for 160% of the wholesale price. X is the price we are looking for - the price after it was marked up.

40 / x = 100/160

(40/x) * x = (100/160) * x      

40 = 0.625 * x  

40/0.625 = x

64 = x

x = 64

Answer:

Area is almost the same as surface area. However, surface area is more complicated, and you have to split the object that you are measuring into different parts to get their area before you can find the whole surface area.

Step-by-step explanation:

(I hope this helped you)

Answer: No, it is not

Step-by-step explanation:

AREA DEFINITION:  Area is 2-dimensional: it has a length and a width. Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.

SURFACE AREA DEFINITION: The surface area is the sum of the areas of all six sides. To find the area of adjacent sides (Width x Height) x 2 sides. Find the area of ends (Length x Width) x 2 ends. Add the three areas together to find the surface area.

Answer:

6.2m is how much he would save

Step-by-step explanation:

i got it right on khan academy good luck

Answer:

6.2 meters

Step-by-step explanation:

I got it right on a test.

Answer:

ok? wahts the question?

Step-by-step explanation:

Answer:

a number subtracted from five

Step-by-step explanation:

All the other choices mean n - 5, except this one, which means 5 - n.

Answer:

a number subtracted from

from five

is the answer to the question

Answer:

C -1/2

Step-by-step explanation:

Answer:

The answer is C. -1/2

Step-by-step explanation:

I took the test and i got a 100%. Have a good day!!!!!

                               :-)  ;-)

Answer:

spending their money

Step-by-step explanation:

answer to a = spending

Answer:

a) Spending

b) John - $60

Collin - $80

c) 6

d) 4

e) idk ‍

f) Day 2

Answer:

best food to eat is a mixture of non diary and diary like avocado toast

Step-by-step explanation:

Answer:

Step-by-step explanation:

One pound is 16 ounces multiply that with 48. You’d get 768.

Subtract that with 755 and get 13 ounces.

Labrador Retriever weights more

Answer:

4, 5, 6

Step-by-step explanation:

An exterior angle is an angle outside of the triangle

Answer:D <5

Step-by-step explanation:

Test

The product of two rational numbers is always rational

Proof:

Let a = p/q and b = r/s be two rational numbers. We will have p,q,r,s be integers where denominators q and s are nonzero. We cannot divide by zero.

Multiplying a and b gives

a*b = (p/q)*(r/s) = (p*r)/(q*s)

Due to the closure property of integer multiplication, the expressions p*r and q*s are integers. The result we get is in the form of integer/integer. Basically we have two integers being divided. Furthermore, q*s is nonzero as neither q nor s is zero.

Therefore, if a and b are rational, then a*b is also rational as well.

Answer:

0.5

Step-by-step explanation:

The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.

The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.

So the probability that only one mouse turns left is:

P =  0.25 + 0.25

P = 0.5

Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.

P = 1 − (P(both left) + P(both right))

P = 1 − (0.5 × 0.5 + 0.5 × 0.5)

P = 0.5

Answer:

280

Step-by-step explanation:

each of those squares are 100 and each bar is 10

add up the squares and you have 200

add up the bars and you have 80

add 200 and 80 and you have your answer. 280

Answer:

D

Step-by-step explanation:

Well, the bars, if you count them are ten for each column.

There are 8 bars on the right, so that is 280 - 80 = 200

There are two squares that are ten by ten, so that is 200 - 100 * 2 = 0