F(x) = 1/4 * x ^ 4 - 9/4 * x ^ 2 - x + 3 Rewrite f(x) as the product of a rational number and a polynomial with integer coefficients.

Answer:

[tex]x=0.5, \\\\x=-4[/tex]

Step-by-step explanation:

Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,

[tex]2x^2 +7x - 4=0[/tex]

In factored form,

[tex](2x-1)(x+4)=0[/tex]

Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),

[tex]2x-1=0[/tex]

Inverse operations,

[tex]2x=1\\x=0.5[/tex]

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

Inverse operations,

[tex]x=-4[/tex]

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]x =\frac{1}{2},-4[/tex]

[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]

Mark as Brainliest

Answer:

$2,699.72

Step-by-step explanation:

Given that

The deposited amount is $2,000

The annual rate of interest is 6%

And, the time period is 5 years

We need to find out the amount that would be in the account in the case when it is compounded daily

So,

The following formula should be used

= Deposited amount × e^(rate, time period)

= $2,000 × e^(0.06,5)

= $2,000 × e^0.3

= $2,699.72

Answer:

=9¹⁴x

Step-by-step explanation:

Answer: [tex]84\ \text{units}[/tex]

Step-by-step explanation:

Given

The length of each cube is [tex]a=14\ \text{units}[/tex]

If there are 6 cubes placed over each other, then the height achieved by the cubes is

[tex]\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}[/tex]

Answer:

yes because since they are new they are all going to have a different opinion on the school than other teachers thats been there for years

hope this helps

have a good day :)

Step-by-step explanation:

Yes, it would likely be biased because they might be like an advertisement since they weren't teaching for years at this school.

If this helps, please mark me brainliest!

Have an amazing day!

Ok, this is a bit tricky, it might be A or D.

A. Because 'you can go to the movies if you do your homeowork.)

B. Because it just flips things aroudn but it's still correct.

I would think the best choice would be A.

If this helps, please mark me Brainliest!

Have a fabulous day!

Answer:

its 40 milmeters

Step-by-step explanation:

The system of equations that represents the number of each type of basket Jake scored is given by:

x + y = 13

2x + 3y = 28

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:

2x + 3y = 28.

He scored a total of 13 baskets, hence:

x + y = 13.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

yeb it is

Step-by-step explanation:

Answer:

tan β = [tex]\frac{7}{24}[/tex]

Step-by-step explanation:

Using the identities

sin x = [tex]\frac{1}{cscx}[/tex] , cos x = [tex]\frac{1}{secx}[/tex] , tan x = [tex]\frac{sinx}{cosx}[/tex] , then

sinβ = [tex]\frac{1}{\frac{25}{7} }[/tex] = [tex]\frac{7}{25}[/tex]

cos β = [tex]\frac{1}{\frac{25}{24} }[/tex] = [tex]\frac{24}{25}[/tex]

Then

tan β = [tex]\frac{\frac{7}{25} }{\frac{24}{25} }[/tex] = [tex]\frac{7}{25}[/tex] × [tex]\frac{25}{24}[/tex] = [tex]\frac{7}{24}[/tex]

Answer:

tanβ = 7/24

Step-by-step explanation:

Given:

cscβ = 25/7

secβ = 25/24

tanβ = ?

Recall:

cscβ = 1/sinβ

secβ = 1/cosβ

tanβ = sinβ/cosβ

Rewrite and simplify:

tanβ = sinβ/cosβ

tanβ = (1/cscβ)/(1/secβ)

tanβ = (1/(25/7))/(1/(25/24))

tanβ = (7/25)/(24/25)

tanβ = (7/25)(25/24)

tanβ = (7*25)/(25*24)

tanβ = 175/600

tanβ = 35/120

tanβ = 7/24

The question is incomplete. Please see the complete question below

The candy shop made 3 1/18 pounds of chocolate they sold 1 1/4pounds how many pounds of chocolate do they have left

Answer:

15/8

Step-by-step explanation:

The shop made 3 1/8 pound of chocolate

They sold 1 1/4 of chocolates

Hence the number of chocolates left can be calculated as follows

3 1/8-1 1/4

= 25/8-5/4

= 15/8

Answer:

X=23

Step-by-step explanation:

Answer:

Cos <B = 3/5

Step-by-step explanation:

Find the diagram attached

From the diagram, we have;

Hypotenuse BC = 80

Opposite to <B = AC =64

Adjacent AB = 48

According to SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos<B = AB/BC

Cos <B = 48/80

Express in its simplest form

Cos <B = (16*3)/(16*5)

Cos <B = 3/5

Hence the ratio of cos<B in its simplest form is 3/5

Answer:

x=7

Step-by-step explanation:

Answer:

The missing exponent is 7 :)

Answer:

5x=t

x=t/5

This should be your answer

Answer:

Only f(x) has an x-intercept.

All three functions have the same domain values.

Step-by-step explanation:

Given

See attachment for table

Required

Select two correct options

Checking the domain:

The x values represent the domain.

From the attached table, we have:

[tex]x = \{-4.-3,-2,-1,1\}[/tex]

These values of x apply to the three functions; f(x), g(x) and h(x).

This means that the functions have the same domain

Checking the greatest maximum

The maximum of each function is:

[tex]f(x) = 1[/tex]

[tex]g(x) = -4[/tex]

[tex]h(x) = 2[/tex]

Compare these three values, we have:

[tex]h(x) > f(x) > g(x)[/tex]

This means that h(x) has the greatest maximum

Checking the x intercept

When a function equals 0, then it has an x intercept

Of the three functions, we have:

[tex]f(-3) = 0[/tex] --- This represents the x intercept.

Other functions do not have this value.

This means that only f(x) has an x intercept

Answer:

Only f(x) has an x-intercept.

All three functions have the same domain values.

or A and E on edg

Step-by-step explanation:

Answer:

10.3699136~10

Step-by-step explanation:

First i found the area of the triangle, .5(10*7)=35

And the area of a circle formula is pi*r^2 so...

35-(pi*2.8^2)=35-24.6300864=10.3699136

:) hope that's right

Answer: 704.2  or 704.23 but its most likely the first one.

Hope this helps <3.

Answer:

A

Step-by-step explanation:

The third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The graph is plotted between the production of pair of cleats to the marginal cost.

The first pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$7[/tex].

The second pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$1[/tex].

The third pair of cleats shows the marginal cost is [tex]\$1[/tex].

The fourth pair of cleats shows the marginal cost is from [tex]\$4[/tex] to [tex]\$6[/tex].

Hence from the given data, the third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

Learn more about graphs here

https://brainly.com/question/1282449

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Answer:

f(g(x)) = x^2 - 14x + 53

Step-by-step explanation:

f(g(x)) = (x-7)^2 + 4 = x^2 - 14x + 53

Answer:

x=10.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

:P  nice points ty :)

find the length of the long diagonal across the tank.  

first find the 2D  diagonal , then use that dist. to find the long 3D diagonal

[tex]C^{2}[/tex] = [tex]3^{2}[/tex]+[tex]4^{2}[/tex]

C = 5    (2D)

now find the 3D

[tex]C^{2}[/tex] = [tex]5^{2}[/tex]+[tex]12^{2}[/tex]

C = 13  inches

( they made it easy ) :)

Answer:

subtracting one from three

Answer:

subtracting 1 from 3

use BEDMAS for order of operation

brackets, exponents division, multiplication, addition, subtraction

all of em from left to right order

Here we have 2 brackets, so you choose the bracket inside bracket, cause that's how it is.

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

Answer:

value of √5 is 2.25

Step-by-step explanation:

it should be on second small mark after 2

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

Learn more about Probability :

https://brainly.com/question/11234923

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Answer:

Step-by-step explanation:

The total of all angles in the triangle is 180

You already know 2 values for the triangle, Angle A 25 as well as Angle C 90

Your formula is

180 - 90 -25