Mathematics High School

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?
f(0) = 5
Ob
f(0) = -5
Ос
f(5) = 0
Od
f(-5) = 0

Answers

Answer 1

Answer:

As

[tex]p(-5) = 0[/tex]

Thus, the correct option is 'd'.

Step-by-step explanation:

We know that the special theorem of remainder states that:

if

[tex]x-k[/tex] is a factor of [tex]p(x)[/tex]

then

[tex]p(k) = 0[/tex]

so

[tex]x+5 = x-(-5)[/tex]

[tex]k = -5[/tex]

Thus,

[tex]p(k) = 0[/tex]

[tex]p(-5) = 0[/tex]

Thus, the correct option is 'd'.

Related Questions

Which option is the simplified version

Answers

The third answer is the right one (G7h7)

Answer:

its the 2 option......................

how many solutions does the following equation have?
4(2x+3)-7=8x+5
a- infinite
b- no solution
c- one solution

Answers

A-Infinite. If you distribute the 4 to the 2x+3 you get 8x+12-7=8x+5. This simplifies to 8x+5=8x+5 which means no matter what the value of x is, the two sides of the equation will be equal to each other.

Plz answer corecctlt 4 1⁄6 ÷ 1 1⁄3 = and also give the mixed fraction

Answers

Answer:

The answer is 0.5 and the Mixed Fraction is 1/2

Step-by-step explanation:

Answer:

3 1/8

Step-by-step explanation:

im only answering this late incase if someone else is looking for the right answer

Pleaseeeee help meeeee !!!!!!!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

8^2+√34^2

64+1156

1227

√1227

35.02

Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.​

Answers

Answer:

[tex]x = bc + 2b[/tex]

PLEASE MARK ME AS BRAINLIEST

I need help solving this

Answers

Answer:

I think it's C.

Step-by-step explanation:

The Correct and Right Answer Is C

suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each

Answers

Answer:

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

A 45 foot tall tree casts a shadow that is 58 feet long. Find the measure of the angle of elevation of the sun from the tip of the shadow to the top of the tree. Round your answer to the nearest degree.

Question options:
A 90
B 38
C 45
D 52

Answers

Answer:

d

Step-by-step explanation:

Joe bidenisapedophi and likes little children recomend u stay away from the freak

a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?

A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)

Answers

Answer:

c or d

Step-by-step explanation:

Y = 3/4x + b
2 = 3/4 + b, b = 1.25
Y = 3/4x + 1.25
Plug in the points and see
6 = 3 + 1.25, false
7 = 3 + 1.25, false
5 = 3.75 + 1.25, true
Solution: C. (5,5) is the answer

13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.​

Answers

Answer:

Step-by-step explanation:

63

1/7x-5=4

1/7x=9

X=63

QUIC what is the LCM of 6 and 8

Answers

Answer:

24

Step-by-step explanation:

I need help solve this problem

Answers

Answer:

i am not sure of my answer sorry can you make the question simpler maybe then I can answer it

Step-by-step explanation:

A pair of dice is tossed. what is the probability of getting sum of 5 or 9?
A)7/9
B)5/9
C)1/9
D)2/9​

Answers

Answer:

[tex]Probability = \frac{2}{9}[/tex]

Step-by-step explanation:

Given:

A pair of dice

Required

Determine the probability of a sum of 5 or 9

Let the sample space of the first die be S1 and the second, S2

[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes

[tex]S_2 = {1,2,3,4,5,6}[/tex]  --- 6 outcomes

Number of sample space, n is:

[tex]n = 6 * 6[/tex]

[tex]n = 36[/tex]

Next, we list out all possibilities of obtaining a sum of 5

[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]

n(Sum5 )= 4

Next, we list out all possibilities of obtaining a sum of 9

[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]

n(Sum9)= 4

The required probability is then calculated as:

[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]

[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]

Take LCM

[tex]Probability = \frac{4+4}{36}[/tex]

[tex]Probability = \frac{8}{36}[/tex]

Simplify

[tex]Probability = \frac{2}{9}[/tex]

9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.

Answers

[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:

Step-by-step explanation:

a)

x= gourmet pretzels

y= boxes of strawberries

system will be:

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]

b)

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]

a box of strawberries is 6.5

Tell whether the statement is always, sometimes or never true.

A positive integer is greater than its opposite.

Answers

True

An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.





True!!!!!!!!!!!!!!!!

What is the solution to this equation?

9x + 5 = 86

Answers

Answer: 9(9)+ 5 = 86

Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86

Answer:

x = 9

Step-by-step explanation:

9x + 5 = 86, minus 5 of both sides

9x = 81, divide 9 on both sides

x = 9

What sum is represented by the arrow diagram?

Answers

Answer:

Would it be 1?

Step-by-step explanation:

I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..

What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?

Answers

Pretty sure the equation is: y=2x+4

Given that g(x) = −2x+20, find g(−3).

Answers

Answer: 26

Step-by-step explanation:

Okay, so... The new equation would be -2(-3)+20...

So follow the rule of PEMDAS, PEMDAS is;

Parentheses

Exponents

Multiplication

Division

Adding

and Subtracting

Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.

-2(-3) = 6 because a negative multiplied by a negative is a positive..

Now we have 6 + 20 which is 26, so 26 is your answer.

-2=-2/3x
write in standard form pls answer quick

Answers

Answer:

2x=6

Step-by-step explanation:

Helppppp
Thank You!!!

Answers

Answer: B and C

Step-by-step explanation: To start off, you subtract 3 from both sides, to get 4<z/2, then multiply both sides by 2, you get z>8. Now it's greater than 8, so it can't equal 8, so the answers would be B and C, since they are both greater than 8, and you have to select multiple choices.

Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.

Answers

Answer:

-1.6

Step-by-step explanation:

4 + 10x = -12

10x = -12 -4

x= -1.6

guys pls i post two more questions that i dont kno and i want to pass my test sorry ,but they are important

Answers

okkk .. this is what this app is for anyways to help.

I need help! and someone to tell me how to do it
step by step i have my exams tmr!

Answers

Answer:

Step-by-step explanation:

if you look at the graph 0-3 is positive

so that gives us 3+

3-2(you count 3 to -2 is negative since it goes left

so that gives us 3+(-5)

thks

The answer that the other person gave you is correct! Good luck on your exam:)

Please help ASAP.

A ferris wheel has a diameter of 42 feet. About how far does it travel if it makes 10 revolutions?

Answers

Answer:

the freak

Step-by-step explanation:

Which expression fits this description?
-The expression is the sum of two terms.
-the first term is the product of 2 and a.
-the second term is the quotient of b and 4.
-----------------------------------------------------------------
(2+a)+(b-4)
2a+(b-4)
2a+b/4
(2+a)+b/4

Answers

Answer:

i didthe math, its c

Aye plz help. Im abt to die. Find the perimiter of the shape below.

Answers

Answer:

40

Step-by-step explanation:

Add all the sides together which is 40

Answer:35

Step-by-step explanation:

exact decimals of 7 5/6​

Answers

Answer:

7.83 repeating

Step-by-step explanation:

Cal’s

Answer: 7.83 with the 3 repeating

Steps:

First change it to a mixed number.

47/6


Then, divide the numerator by the denominator.

_
47/6= 7.83 with the 3 repeating

Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)

Answers

Answer:

Growth rate is -0.25

Growth factor is 0.75

Step-by-step explanation:

The general form of an exponential equation is;

y = a(1 + r)^x

Where a is the initial value

r is the growth rate

For x = 3; we have

168.75 = 400(1 + r)^3 •••• (i)

For x = 2, we have

225 = 400(1 + r)^2 •••••(ii)

Divide i by ii

That will be;

168.75/225 = 1 + r

1 + r = 0.75

r = 0.75-1

r = -0.25

The growth rate is -0.25

The growth factor is 1-0.25 = 0.75

Evaluate
41+31
21
Answers 10’ 8’ 15

Answers

Answer:

the answer its 15 I hope helps you

Step-by-step explanation:

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