where are the ceros located in f(x)=x^4-3x^3-2x^2+3x-5

Answer:

For example, 5 can be written as 5/1.

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal. hope  this helps you :)

Answer:

17

Step-by-step explanation:

Plot in the points for each variable to find the y-intercept.

1=-4(4)+c

1=-16+c

1+16=c

17=c

9=-4(2)+c

9=-8+c

9+8=c

17=c

Answer:

Step-by-step explanation:

Given:

2 Points

(4,1) and

(2,9)

Slope

m = (y2 - y1)/(x2 - x1)

y2 = 9

y1 = 1

x2 = 2

x1 = 4

m = (9 - 1) / (2 - 4)

m = 8 / - 2

m = - 4

y intercept

y = mx + b

y = -4x + b

Use (9, 1) to find the y intercept

1 = - 4*9 + b

1 = - 36 + b

b = 37

Answer

The equation is y = - 4x + 37

Answer:

[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]

Second equation:

[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]

Third equation:

[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]

Now we use this value for "x" back in equation 1 to solve for "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]

And finally we solve for the third unknown "z":

[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]

Answer:

They both intersect eachother

Step-by-step explanation:

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Answer:

The range of numbers that will win the game for your player is [tex]0 \leq x \leq 16[/tex].

Step-by-step explanation:

We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.

The numbers to choose from are zero to twenty.

Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.

Given that Nita chooses 7.

Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;

[tex]|x-7|<10[/tex] ,  where x = number chosen by Erik, i.e. [tex]0 \leq x\leq 20[/tex]

Further solving the above equation we get;

[tex]-10 < x-7<10[/tex]

[tex]-10+7 < x-7+7 < 10 + 7[/tex]

[tex]-3 < x < 17[/tex]

But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.

SO, the required range of numbers that can win Erik the game is given by = [tex]0 \leq x \leq 16[/tex].

Answer:

$70-$2x

Step-by-step explanation:

In the beginning, your friend spent $30 on interference and food, leaving him or her $70.

Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.

He subtracted that from the money he had which was $70.

Therefore, the equation is $70 - $2x

Answer:

3/10

Step-by-step explanation:

Josh and Lucy share some money in the ratio 3:7.

3+7=10

The fraction Lucy gets is 7/10

The fraction Josh must get is 3/10.

Answer:

The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Then, for our case we get a starting equation that reads:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]

and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:

[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]

Answer:

x + y = 745

23.50x + 58.75y = 29,668.75

Step-by-step explanation:

Since 745 copies were sold and  x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:

x + y = 745

Since the home edition costs $23.50, and the business edition costs $58.75:

The money earned from home edition is = 23.50x

The money earned from business edition is = 58.75y

Since the company earned $29,668.75:

23.50x + 58.75y = 29,668.75

Answer:

20%

Step-by-step explanation:

16/80= ?/100

16 times 100 is 1600

1600 divided by 80 is 20%

hope this helps

Answer:

B. 20%

Step-by-step explanation:

16 as a percent of 80 can be written as:

16/80

Simplify the fraction using the greatest common factor 16.

16÷16/80÷16

1/5 = 0.2

1/5 as a percent is 20%.

Answer:

b = 40

Step-by-step explanation:

Let b= brownies made

b* 2/5 = brownies left over

b*2/5 = 16

Multiply each side by 5/2

b * 2/5 *5/2 = 16*5/2

b = 40

Answer:

40

Step-by-step explanation:

.4/.4 is 1 so 16/.4 is 40

Answer:

86° Fahrenheit

Step-by-step explanation:

F=1.8C + 32

C=30°

Plugging into the formula:

[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]

The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.

Answer:

86 degrees

Step-by-step explanation:

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

Answer: This can be done by properly interpreting the words into appropriate signs and digits.

Please check below for explanation of WORD PROBLEMS.

Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;

(1) Sum refers to addition (plus)

(2) Difference refers to subtraction (minus)

(3) Product refers to multiplication (times) and

(4) Quotient refers to division (divide)

(5) The same as refers to equal to

Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.

So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."

A simple example would help to illustrate this;

Illustration:

(a) Four times a number added to a dozen would result in seven times that same number.

Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.

Added to a dozen means you add 4x to  a dozen, that is 4x + 12.

This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,

4x + 12 = 7x.

Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).

Answer:

D

Step-by-step explanation:

The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.

Answer:

Option B

Step-by-step explanation:

Complementary Angles add up to 90 degrees

So,

Other Angle = 90-22

Other Angle = 68 degrees

Also Other Angle = 2x (Given)

So,

2x = 68

Dividing both sides by 2

=> x = 34

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

16^1/2

= [tex]\sqrt{16}[/tex]

=4

Answer:4

Step-by-step explanation:

BIG BRAIN

Answer:

addition

Step-by-step explanation:

Answer:

a) mean=1,8 b) mean=3.6 c) mean=7.2

Step-by-step explanation:

a) 2.4 +1.6+ 3.2+ 0.3+ 1.5=9

9/5=1.8  

b) 4.8+3.2+6.4+0.6+3=18

18/5=3.6

c)9.6+6.4+12.8+1.2+6=36

36/5=7.2

Answer:mean is 1.8

Step-by-step explanation:

Add all up divide by 5

Answer:

x ≈ 8.0

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos37° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )

10 × cos37° = x , thus

x ≈ 8.0 ( to the nearest tenth )

The value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

As we know, the cos is the ratio of the side adjacent to angle to hypotenuse.

cos37 = x/10

x = 10cos37

x = 10(0.79)

x = 7.9 ≈ 8 units

Thus, the value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ5

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

7/8 of an hour

Step-by-step explanation:

Answer:

duration of movie = 3 hours 30 minutes

= 180 + 30

= 210 minutes

Lily turned of 1/4 of the way

time she spend watching

= 1/4 × 210

= 52.5 minutes

Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]

Probability teachers preferring sharks:

[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]

Probability students preferring moose:

[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]

Probability teachers preferring moose:

[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]

From the above computations it can be concluded that:

Thus, the correct statement is (D).

Answer: Just did it and the answer is “Shark”...

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

Simply plug -2 in for x into the equation.

2(2^-2) = 0.50

Answer:

0.50

Step-by-step explanation:

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

The cube root of 1331 is 11.

Step-by-step explanation:

11 times 11 times 11 = 1331

Answer:

11

Step-by-step explanation:

=> [tex]\sqrt[3]{1331}[/tex]

We'll prime factorize it!

=> [tex]\sqrt[3]{11*11*11}[/tex]

=> [tex]\sqrt[3]{11^3}[/tex]

Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]

=> [tex]11^{3*1/3}[/tex]

=> [tex]11^{3/3}[/tex]

=> [tex]11^1[/tex]

=> 11

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

Answer:

the correct answer is A

Step-by-step explanation: