2. What function types can be multiplied together to build a
new function of degree 5? How many total zeros will the
function have? How many can be imaginary?

Answers

Answer 1

Answer:

To get a function of degree 5, either functions of degree 1 and 4 or functions of degree 2 and 3 should be multiplied.

This function will have a total of 5 zeros, same as its degree.

The function of degree 5 will have at least one and up to five real zeros

The rest of the zero's are imaginary.

So if has 2 real zeros, then the remaining 3 will be imaginary.

Maximum number of imaginary zero's is 4.


Related Questions

Add parentheses to the following equation to make it true.

[tex]12*2-3+4*2=-4[/tex]

Answers

Answer:

[tex]12 * (2 - 3) + (4 * 2)[/tex]

Step-by-step explanation:

Follow PEMDAS for the given answer.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

Reverse solve the answer so that the result is the question.

First, solve the parenthesis:

12 * (2 - 3) + (4 * 2)

12 * (-1) + 8

Next, multiply 12 and -1 together:

12 * -1 = -12

Finally, add:

-12 + 8 = -4

12 * (2 - 3) + (4 * 2) is your answer.

~

[tex]12 \times (2 - 3) + (4 \times 2)[/tex]

Step-by-step explanation:

Add parentheses to the following equation to make it true.

[tex]12 \times 2 - 3 + 4 \times 2 = - 4[/tex]

________________

[tex] = 12 \times 2 - 3 + 4 \times 2 = - 4[/tex]

[tex] = 12 \times (2 - 3) + (4 \times 2)[/tex]

[tex] = 12 \times ( - 1) + 8[/tex]

[tex] = - 12 + 8[/tex]

[tex] = - 4[/tex]

Bodie purchases a rectangular prism ( a box ) to store his dog food in. The prism is LaTeX: \frac{7}{4}7 4 inches long, LaTeX: \frac{9}{4}9 4 inches wide, and 3 inches in height. Bodie's dog food are these cute little cubes that are each LaTeX: \frac{1}{4}1 4 inches long, wide, and high. If Bodie carefully stacks the dog food into the prism, how many little dog food cubes will fit in the prism?

Answers

Answer:

84dog cubes

Step-by-step explanation:

First we need to get the volume of the rectangular prism and the little cubes

Volume of the prism = base area × height

Volume f the prism = length × width × height

Given

Length = 7/4in

Width = 9/4in

Height = 3in

Volume of the prism = 7/4×9/4×3

Volume of the prism = 63/48

Volume of the prism= 21/16 in³

Volume of the cube = L³

L is the length of one side of the cube

Volume of the cube =(1/4)³

Volume of tje cube = 1/64in³

Number of dog food cubes that will fit in = 21/16÷1/64

= 21/16×64/1

= 21×4

= 84

Hence 84 dog cubes will fit in

3-7/8

please answer :p

Answers

Answer:

2.125 is your answer!! pls give brainlist (:

Step-by-step explanation:

6 - 2 4/7 = ?

answer asap and correct pls.

Answers

Answer:

24/7

Step-by-step explanation:

What is 3f + 8f - 8f - 3f simplified?​

Answers

Answer:

0

Step-by-step explanation:

everything cancels out so the answer is 0

Answer:

0

Step-by-step explanation:

3f + 8f - 8f - 3f

commutative property

(3f - 3f) + (8f - 8f)

3 - 3 = 0

0f + (8f - 8f)

8 - 8 = 0

0f + 0f

combine like terms

0 + 0 = 0

0f, or just 0

Help (what is the correct answer)?

Answers

The answer is b because the slope is rise over run it goes up 2 times and right 4 times which are both positive so the answer is 2/4 or 1/2

Answer:

C

Step-by-step explanation:

Isaiah measured a pencil to be 4.8 inches. The actual measurement is 4 inches. What is Isaiah's percent error?

Answers

Answer:

80%

Step-by-step explanation:

The actual value measurement = 4

Estimated value of the measurement= 4.8

percent error= (Estimated value - actual value) ×100%

= (4.8-4)×100%

=0.8×100%

=80%

Hence, Isaiah's percent error is 80%

Answer:

20%

Step-by-step explanation:

I did this on a test and I got it right trust me

For what value of x can the given lengths
be side lengths of a right triangle?
28, x, 53

Answers

Answer:

45

Step-by-step explanation:

The formula for finding the longest size of a right angle is

[tex]c^{2} = a^{2} + {b}^{2}[/tex]

a = 28, b = ? and c = 53;

Therefore, if you make b the subject of the formula, you will have

[tex]b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]

And after plugging the value of c=53 and a=28, b is gotten to be 45

Y=-x^2-12x-37 find the 1) Roots 2) Factors 3) Vertex (x,y) 4) Interception with 'Y" axis 5) Axis of Symmetry 6)Direction of Opening 7)Max / Min ? Coordinates 8)Sketch 9) Domain 10) Range

Answers

Answer:

1) The roots of the equation Y = -x² - 12·x - 37 are x = -6 - √73 and -6 + √73

2) The factors of the function Y = -x² - 12·x - 37 are (x + (-6 - √73)) and (x - (-6 + √73))

3) The vertex is (-6, -1)

4) The Y-intercept is (0, -37)

5) The axis of symmetry is x = -6

6) The parabola opens downward

7) The maximum point is (-6, -1)

8) The graph of the function created with Microsoft Excel is attached

9) The domain of the function is -∞ < x < ∞

10) The range of the function is -∞ < Y ≤ -1

Step-by-step explanation:

The given function is Y = -x² - 12·x - 37

1) The roots of the equation Y = -x² - 12·x - 37 is given as follows;

0 = -x² - 12·x - 37

∴ -x² - 12·x - 37 = 0

The roots are;

x = (12 ± √((-12)² - 4 × 1 × (-37)))/(-2)

∴ x = -6 - √73 and -6 + √73

2) The factors are (x + (-6 - √73)) and (x - (-6 + √73))

3) The vertex is given by h = -b/(2·a) = 12/(2) = -6

k = c - b²/(4·a) = -37 - 144/(-4) = -1

The vertex = (h, k) = (-6, -1)

4) The intercept with the "Y" axis is given when x = 0, therefore, the y-intercept is (0, -37)

5) The axis of symmetry can be found at the vertex or the line x = -6

6) The sign of the coefficient of x² is negative therefore, the parabola opens downward

7) The maximum point is given as follows;

At the maximum point, dY/dx = d(-x² - 12·x - 37)/dx = -2·x - 12 = 0

x = 12/(-2) = -6, which is the vertex, therefore Y = -(-6)² - 12×(-6) - 37 = -1

The maximum point is the vertex (-6, -1)

8) Please find attached the graph of the function created with Microsoft Excel

9) The domain of the function is -∞ < x < ∞

10) The range of the function is -∞ < Y ≤ -1

Functions assignment
Y= 2/3x+20
When x=21 what is the function and solution

Answers

Answer:

y = 2/3 (21) + 20 (plug it in and multiply)

y = 14 +20 (add)

y = 34

(21,34)

Step-by-step explanation:

i hope this helps :)

Use the graph to answer the question.
y
5
4
3
2+
1
-4 -3 - -
3
4
5
X
N
1
-24
-3
-4+
-5
Which line is perpendicular to the line shown on the graph?
O A. y=-x+2
O y
B. y=-{x-4
oc. y = {x+1
OD. y = kx + 1

Answers

Answer:

C

Step-by-step explanation:

A large soup pot holds 20 quarts of soup. What could be its volume in liters? (Note a
liter is slightly larger than a quart)

a. 7.57

b. 19

c. 21

d. 75.7

Answers

Answer:

a

because it is math

simple math

VERY simple math

4.1 Warm-Up

Tuesday
Video Example:

Write the algebraic rule that represents the dilation that was applied.



You Try:

Which rule best represents the dilation that has been applied?

(x, y) → (2x, y)

(x, y) → (0.5x, 0.5y)

(x, y) → (2x, 2y)

(x, y) → (2 + x,2 + y)

Wednesday
Video Example:
Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)(0.5x, 0.5y) to create Triangle X’Y’Z’. Which statement is true?

Triangle A’B’C’ is larger than Triangle ABC, because the scale factor is greater than 1

Triangle A’B’C’ is smaller than Triangle ABC, because the scale factor is less than 1

Triangle A’B’C’ is smaller than Triangle ABC, because the scale factor is greater than 1


You Try:
A figure will be dilated on a coordinate grid to create a smaller figure. The figure is dilated using the origin as the center of dilation. Which rule could represent this dilation?

(x, y) (0.5 + x, 0.5+y)

(x, y) (0.5 - x, 0.5-y)

(x, y) (32x, 32y)

(x, y) (23x, 23y)

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete but i would show how to solve.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are dilation, rotation, translation and reflection.

Dilation is the enlargement or reduction in the size of a figure.

a) If an point A(x, y) is dilated by a factor k, the new coordinate is A'(kx, ky). From the above options the ones that represent dilation is (x, y) → (0.5x, 0.5y)  and (x, y) → (2x, 2y) . If the object is reduced then the correct option is (x, y) → (0.5x, 0.5y)   while if the object is enlarged the correct option is (x, y) → (0.5x, 0.5y)

b)Dilation is the enlargement or reduction in the size of a figure by a factor k. If k < 1, then it is a reduction and if k > 1, it is an enlargement.

Since Triangle XYZ is dilated with the origin as the center of dilation using the rule (x, y)⇒(0.5x, 0.5y) to create Triangle X’Y’Z’, since the factor is less than 1(0.5 < 1), it is a reduction. Hence Triangle X’Y’Z’ is smaller than Triangle XYZ, because the scale factor is less than 1

c) The dilation creates a smaller figure hence the factor of dilation should be less than 1.

Help plsssssssss. Find X

Answers

Answer: A) 7

hope that helps you. :)

tha answer that you want is 11 because 5×11=55

X<-5

Graphing the inequality

Answers

Answer:

Draw the graph of line x=5 , which would be vertical line passing through (5,0) . Since x is less than but not equal to 5 , make it a dotted line and shade the region to the left.

Step-by-step explanation:

please solve this question in mathematics
75*75+4543-8745/3.5

Answers

Answer:

7669.42857

Step-by-step explanation:

The regular price of an ice cream cone is $1.25 but on Monday it sells for $0.95. Karen and her friends bought 5 ice cream cones on Saturday, 3 on Sunday and 4 on Monday. Calculate the average price they paid for ice cream.

Answers

Answer:

$13.8

Step-by-step explanation:

I did the math

Evaluate the expression for b=5.

4b2

Answers

Step-by-step explanation:

When b = 5,

4b² = 4(5)² = 4 * 5 * 5 = 100.

Answer:

100 is the right answer.

Step-by-step explanation:

Given that b=5

4b² = 4(5)² = 4×25 = 100

1) Convert 1/3 to a decimal
using long division

Answers

just divide 1 by 3 and you will get 0.33333333 so just put 0.3

-2x - 14 =-2

(Solve for x)​

Answers

Answer:

x = -6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

-2x - 14 = -2

first, you have to add 14 to both sides

-2x = 12

now you divide -2 from both sides

x = -6

10.25 divided by -0.5 =

Answers

Answer:

20.5 this is the answer 10.25 divided by 0.5

What is the image of the point (-9, 1) after a rotation of 90° counterclockwise about
the origin?

Answers

Answer:

(- 1, - 9 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , so

(- 9, 1 ) → (- 1, - 9 )

The image of the point (-9, 1) after a rotation of 90° counterclockwise about the origin is (1, 9).

What is rotation rule of 90°?

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

The given coordinate point is (-9, 1).

Rule: (x, y)→(y, -x)

The image of the point (-9, 1) is

(-9, 1)→(1, 9)

Therefore, the image of the point (-9, 1) after a rotation of 90° counterclockwise about the origin is (1, 9).

Learn more about the rotation of 90° counterclockwise here:

brainly.com/question/1571997.

#SPJ2

32/a = 12.8/5.6

Pls show work for brainest
(Question worth 12 points)

Answers

Answer:

a=14

Step-by-step explanation:

32/a=12.8/5.6

a(32/a)=(12.8/5.6)a

32=12.8/5.6a

5.6a(32)=(12.8/5.6a)5.6a

12.8a=179.2 or a = 179.2/12.8

a=14

If MNP - TSR and NQ and SU are angle bisectors, find TS.

MN = 2
TS = n + 2
NP = 3
SU = 1
NQ = n + 3

Answers

Answer:

TS is 1

Step-by-step explanation:

The given parameters are;

ΔMNP is similar to ΔTSR

[tex]\overline {NQ}[/tex] and [tex]\overline {SU}[/tex] are angle bisectors of ∠MNP and ∠TSR respectively

MN = 2, TS = n + 2, NP = 3, SU = 1, NQ = n + 3

We have;

MN and TS are corresponding sides

[tex]\overline {NQ}[/tex] and [tex]\overline {SU}[/tex] are corresponding sides

Therefore, we have;

MN/TS = [tex]\overline {NQ}[/tex]/[tex]\overline {SU}[/tex]  which gives;

2/(n + 2) = (n + 3)/1

(n + 2)·(n + 3) = 2

n² + 3·n + 2·n + 6 = 2

∴ n² + 5·n + 4 = 0, which gives, by factorization;

(n + 1)·(n + 4) = 0

∴ n - 1 or n = -4

TS = n + 2

When n = -1 TS = -1 + 2 = 1

When n = -4, TS = -4 + 1 = -3

Therefore, for a natural number value, we have, n = -1 and TS = 1.

Please put them in order THANK YOU

Answers

Answer:

Synthetic drugs: are drugs made in a Laboratory

Over-the-counter drugs: our medicines that are found at your local pharmacy, supermarket, or convenience store

Prescription drugs: are medicines prescribed by a doctor as a treatment for a health problem

Illegal drugs: serve no medical purpose, and it’s against the law for people of any age to manufacture, possess, buy, or sell illegal drugs

Psychoactive drugs: are drugs that affect the function of the brain

goodmorning, can somebody help me plsss

Answers

Answer: I believe it's c. atoms form molecules

Step-by-step explanation:

because atoms are the smallest unit of matter and when atoms join together they form a larger unit of matter called molecules.

|3x-4| +2=1
Please help!

Answers

1.6 !!!!!!!!!! x=1.6 !!!!!

Please Help Meh I dont Get this

Answers

The final answer is x = -19/6. The first step is to reduce the expression to
2/3 * 3(5-3x)= 29. This will make the equation much easier. The next step is to simplify by cancelling out the 3 in 2/3 with the 3 multiplying 5-3x so it leaves you with 2(5-3x)=29. Then you would remove the parenthesis by using the distributive property and simplifying 2(5-3x) to 10-6x= 29. Then subtract 10 from both sides, which leaves you with -6x = 19. Divide by -6 on both sides and you get x= -19/6. Hope this helps

Jerry started sit-ups every day . The first day he did 15 sit up . Everyday he did 2 more sit ups than he did the previous day today jerry did 33 sit-ups

Answers

Answer:

2x+15=33

Step-by-step explanation:

Computation of the equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day

Based on the information given the EQUATION will be :

2x+15=33

Where,

x represent Jerry Sit up numbers of days excluding the first day

2x represent the additional 2 more sit ups

2x +15 represent the total number of sit up that was done after the first day

2x+15=33 represent the total 33 sit-ups that jerry did today

Therefore the EQUATION that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day will be 2x+15=33

What is the value of -17 - (-1)?

Answers

Answer: -16

Explanation: Since you are subtracting a negative number from -17, you are actually just adding that number to it, and -17 + 1 is -16

Answer: it’s 1

Step-by-step explanation:

A negative num

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