According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Answers

Answer 1
x= 0.787693 // ±1, ±1/2, ±1/4
Answer 2

Answer:

3

Step-by-step explanation:


Related Questions

Which number is the farthest from two on the number line

Answers

Square root of 2.1
This is because it's the smallest number, therefore the number that multiplies by itself to get 2.1 is the smallest also.
Therefore it has greater range from 2

Answer:

2.1 is the answer

Step-by-step explanation:

Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

Answers

Interest = principle * rate * time...
I = PRT...we are going to rearrange this because we are looking for the principle...

I / (RT) = P
I = 22.40
R = 2.8%...turn to a decimal = 0.028
T = 1

sub and solve
22.40 / (0.028(1) = P
22.40 / 0.028 = P
800 = P....amount of original deposit is $ 800 <==

The formula is
I=prt
I interest earned 22.4
P original deposit ?
R interest rate 0.028
T time 1 year
Solve the formula for p to get
P=I÷rt
P=22.4÷(0.028×1)
P=800

What is number ll I'm in advanced math and this is the only one I don't know. I'm in the 7th grade and in 9th grade math please help me.

Answers

To solve this, we simply need to substitute in the value for x, and then solve like a normal fraction problem. The easiest way to solve for this is to turn both fractions into improper fractions, subtract the smaller value from the larger value, then make it negative.

2 4/5 - 1 1/5
14/5 - 6/5
8/5
-8/5

Now, we should turn it back into a mixed number.

-1 3/5

The value of this expression is -1 3/5 or -8/5.

Which rate is equivalent to the unit rate of 15 miles per gallon?

thirty miles over three gallons
three gallons over thirty miles
four gallons over sixty miles
sixty miles over four gallons

Answers

Sixty miles over four gallons would reduce down to 15 miles over one gallon which would 15 miles per gallon.

Answer:

Fourth option is correct.

Step-by-step explanation:

Since we have given that

thirty miles over three gallons  

Unit rate would be  miles per gallon.

three gallons over thirty miles  

Unit rate would be  miles per gallon.

four gallons over sixty miles  

Unit rate would be  miles per gallon.

sixty miles over four gallons

Unit rate would be  miles per gallon.

Hence, Fourth option is correct.

a child is 2-1/2 feet tall. the child's mother is twice as tall as the child. how tall is the child's mother?

Answers

the mother is 5 feet tall

2.5 times 2 would be 5
The mother is 5 feet tall

1.
(05.01 LC)
The graph below shows the height an elevator travels, y, in x seconds:



What is the rate of change for the relationship represented in the graph? (1 point)


A. 1/15
B.1/14
C.14
D.15

Answers

Hey there!

You can find the rate of change by taking any two points from your graph and plugging them into the following equation:

[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]

Let's use the first two points you're shown from least to greatest. These are (0, 0) and (1, 15). 

Now, identify what number is which and plug them into your equation. The solution will be your rate of change. 

[tex]y_2 = 15 \\ y_1 = 0 \\ x_2 = 1 \\ x_1 = 0[/tex]

[tex]\frac{15-0}{1-0}[/tex]

[tex] \frac{15}{1} [/tex]

[tex]15[/tex]

15, or D, will be your answer. 

Hope this helped you out! :-)

The rate of change for the relationship represented in the graph is 15

What is rate of change?

The rate of change of a linear graph is the slope of the graph

From the graph, we have the following ordered pairs

(x,y) = (0,0) and (2,30)

So, the rate of change (m) is then calculated as:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]m =\frac{30 - 0}{2 - 0}[/tex]

Evaluate the differences

[tex]m =\frac{30 }{2 }[/tex]

Evaluate the difference

[tex]m=15[/tex]

Hence, the rate of change is 15

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how do we calculate QS? given that SQT and RPT are similar. thank you

Answers

since they are similar RT is similar to ST and PR is similar to QS

find the ratios

7/6 = x/9 cross multiply 7*9 =63

63/6 = 10.5

 so QS = 10.5

One hundred students are asked a survey question as they walk through the front gate at their middle school. Is this a representative sample of the schools population?

Answers

Given that one hundred students are asked a survey question as they walk through the front gate at their middle school.

This a representative sample of the schools population because the sampling is random and is not biased.

Which problem can be solved using this equation? 400+100c=550+70c
A. One car salesperson makes a monthly salary of $100,$100, plus $400$400 commission for each car sold.
The other car salesperson makes a monthly salary of $70,$70, plus $550$550 commission for each car sold.

For which number of cars, cc, do they make the same amount in one month?



B.One car salesperson makes a monthly salary of $400,$400, plus $100$100 commission for each car sold.
The other car salesperson makes a monthly salary of $550,$550, plus $70$70 commission for each car sold.

For which number of cars, cc, do they make the same amount in one month?



C.One car salesperson makes $500$500 for each car sold.
The other car salesperson makes $620$620 for each car sold.

For which number of cars, cc, do they make the same amount in one month?

Answers

ur answer is gonna be B

Answer:

One car salesperson makes a monthly salary of $400, plus $100 commission for each car sold.  

The other car salesperson makes a monthly salary of $550, plus $70 commission for each car sold.

For which number of cars, c, do they make the same amount in one month?

Alaska's glacier bay national park had 431,986 visitors one year the next year the park had22,351 more visitors than the year before how many people visited during the two years show your work and explain how you found your answer.

Answers

886,323 people visited during the two years.

what number is 10 times more than 8000

Answers

10*8000= 80,000

An easy way to multiply by 10 is to shift the decimal place over by 1 place value and add a 0 right before it.
80,000 (8,000 x 10= 80,000)

You brought 1.5 dozen bagels to school. A dozen bagels cost $5.98. You used a coupon that took $1.00 off of the total. How much did you pay for the bagels?

Answers

1 dozen cost 5.98

 so 1.5 dozen cost : 5.98 x 1.5 = 8.97

 a coupon takes $1 off the price so

8.97-1.00 = 7.97

 they cost a total of $7.97

Answer:

$7.97

Step-by-step explanation:

multiply to find the total cost and then subtracting the coupon amount.

What is the answer to 8ab-2b+ab-b

Answers

8ab-2b+ab-b
8ab+ ab= 9ab
-2b-b= -3b

Answer: 9ab - 3b
8ab-2b+ab-b
Combine like factors
9ab-3b

How do you write 120% as a fraction or mixed number in simplest form?

Answers

6/5 should be correct
The word 'percent' means 'for every 100' or 'per 100'. And the word 'per' can be the fraction line that separate the numerator and denominator. 

So, 120% can be read as '120 per 100'. [tex]\frac{120}{100}[/tex]

Simplify.

[tex]\frac{120}{100} = \frac{12}{10} = \frac{6}{5}[/tex]

Convert the improper fraction into a mixed number.

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

So, 1 1/5 is the answer.

Solve the system by the elimination method
6x+2y=-16
-x-3y=-16

Answers

eliminate y's
multiply first equation by 3 and 2nd by 2 and addd them

18x+6y=-48
-2x-6y=-32 +
16x+0y=-80

16x=-80
divide both sides by 16
x=-5
sub back

-x-3y=-16
-(-5)-3y=-16
5-3y=-16
-3y=-21
y=7

(x,y)
(-5,7)

need help asap!!!plz help

Answers

Mean = sum of values/ number of values
11+13+14+14+15(4)=112
112/8=14
Final answer: 14

Easy question about triangles that I forgot what they look like so I feel too lazy to look them up (13 POINTS)

Answers

There are exactly 3 scalene triangles, and I feel you XD
They are right, there are exactly 3 scalene triangles

20 POINTS!!! WRONG ANSWERS WILL BE REPORTED!!

Answers

as you know 
sin = opp / hyp
cos = adj / hyp
tan = opp/adj

so
tan(Y) = opp/adj = 8/15 
cos (X) = adj / hyp = 8/17
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17
cos(Y) = adj / hyp = 15/17

so answers
tan(Y) = opp/adj = 8/15 
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17

Line graphs are useful for seeing trends. How do you explain a line graph that goes up and down?

Answers

Line graphs are useful in that way they show data variables and trends very clear

A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answers

A.  First, find the slope, which  is -0.5, and then insert it into point-slope form, which is y-y1=m(x-x1), or y-1=-0.5(x+5). That's point-slope form.


B.  First, distribute -0.5 to both terms  in the parenthesis, to get y-1=-0.5x-2.5, and lastly add 1 to both sides to get the slope-intercept form of y=-0.5x-1.5

Answer:

you didnt give the answer its A

Step-by-step explanation:

cause u gay

Thirty car pass through a certain toll booth each minute.at that rate,how many cars are expected to pass through the toll booth each half-hour

A 15
B 60
C 450
D 900

Answers

Answer:

the answer is d

Step-by-step explanation

correct on Edge

The answer is Option D)

The number of cars that are expected to pass through the toll booth each half-hour will be 900

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of cars that pass through the toll booth at each minute = 30

Let the number of cars to pass at each half-hour be A

1 hour = 60 minutes

half-hour = 30 minutes

So,

The number of cars to pass at each half-hour A =
The number of cars that pass through the toll booth at each minute x 30

The number of cars to pass at each half-hour A  = 30 x 30

                                                                         = 900 cars

Hence , The number of cars that are expected to pass through the toll booth each half-hour will be 900

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A total of 822 tickets were sold for the school play. They were either adult tickets or student tickets. They were 72 more student tickets sold then adult tickets. How many adult tickets were sold?

Answers

822-72=750
750/2= 375 adult tickets sold

George has 9 more dollars than Frank, who has 3 more than Richard. What is the least amount of money that must be exchanged so that they each have the same amount of money?

I know the answer is $7 but is there a quicker way to do it instead of guess and check?

Answers

r+r+3+r+12

3r+15, let r=1

3+15=18, so we need each person to have 6

we know that g=12+1=13, f=3+1=4, r=1

So g must give away 7. f must take 2, and r must get 5

So 7+2+5=14 got exchanged in total.

But I can see that only $7 dollars was taken to be distributed to the other two as well.

x + y = 4 x - 2y = -5 If the first equation is multiplied by 2 and then the equations are added, the result is _____.
is the answer 3x=3????

Answers

x + y = 4....multiplied by 2 = 2x + 2y = 8

x - 2y = -5
2x + 2y = 8
---------------add
3x = 3......u r correct <==
Yes you are correct

Explain how you know the valúes of the digits in the number 58

Answers

The 5 is in the tens spot and the 8 is in the ones.
Look at chart. Plug in an 8 where it says ones, and the 5 where it says tens. Yeah?

Is the decimal form of 13/3 a rational number

Answers

No Its not Rational Number

An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.

Answers

30% off an item would make that item valued at 70% of its original price

94 times 0.7 = 65.8

$65.80
30% of 94 is 94*0.3=28.2
94-28.2=65.8
The item is now priced at $65.8

solve for g 2/3+1/4g=-1/6

Answers

Allright so to solve for G you have to isolate the variable G, so multiply by 3/2 to both sides to get rid of 2/3 on the left side so you have 1/4g=-1/4 and then multiply by 4 to both sides to get rid of 1/4 of the left side so you have g=-1

The volume of a cube is 27n^27 cubic units. What is the length of one side of the cube

Answers

volume of a cube = S^3

 volume = 27

cubic root of 27 = 3

each side is 3 units long


What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

Answers

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.
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