9. (04.03 LC)
Given a polynomial f(x), if (x - 2) is a factor, what else must be true?

f(0) = -2

f(-2) = 0

f(2) = 0

f(0) = 2

show work pls

Answers

Answer 1

Answer:

f(2)=0. The third option is correct.

Step-by-step explanation:

Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:

f(x)=(x-2)\cdot g(x)

Being g(x) another unknown function.

Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect

Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect

Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct

Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect


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Step-by-step explanation:

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Step-by-step explanation:

Answer:

436.75

Step-by-step explanation:

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Step-by-step explanation:

This will help you and make me burillan

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Answer:

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Step-by-step explanation:

is the answer because it is the amount of students to adults.

- 2(3x + 4) - 2x - 5​

Answers

The answer is -8x-13 hope this helps

Find the remainder when you divide 28282828282838·28282828282839 by 28.

Answers

Answer:

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Step-by-step explanation:

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25 POINTS!!!!!!!
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Answers

Answer:

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Step-by-step explanation:

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Elaine drove 3 miles forward, then 3 miles backward. How many miles did she drive?​

Answers

Answer:

6 miles

Step-by-step explanation:

3 plus 3= 6

Answer:

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Step-by-step explanation:

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PLS I NEED THIS LIKE TODAY
Consider an example of a deck of 52 cards:

The dealer in a card game draws 3 cards from a deck of 52 cards and places them face up on a table. Select all of the correct probabilities.

Answers

Answer:

please be more specific

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Answers

-5
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Need Help with this Appreciate!​

Answers

Answer:

Whatever problem choice is equivalent to 2

Step-by-step explanation:

-f-6-2f=8
I need help

Answers

Answer:

f= -14/3

Step-by-step explanation:

-f-6-2f=8

(given)

-3f-6=8

(combine like terms)

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(add 6 to both sides)

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Solve the following system of equations using the elimination method. x – y = 11 2x + y = 19 Question 5 options: A) (–3,9) B) (10,–1) C) (–9,6) D) (–10,2)

Answers

Answer:

B.(10,-1)

Step-by-step explanation:

10-(-1)=11

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Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?

Answers

Answer:

the answer is #3

Step-by-step explanation:

the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given this, Maria took a taxicab from her home to the theater downtown. The taxicab company charges a flat fee of $5.00 plus $0.25 per mile.

Since, C represents the total cost of her ride, in terms of m, the length of the trip in miles.

So,

Total cost = fixed cost + variable cost

In our case

Fixed cost = 5

and the variable cost = 0.25 per mile

For m miles variable cost = 0.25*m

Thus,

Total cost = 5 + 0.25*m

C = 5 + 0.25m

therefore, the expression that represents C, the total cost of her ride, in terms of m, the length of the trip in miles is C = 5 + 0.25m.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

#SPJ1

In a batch of ​pedometers, are believed to be defective. A​ quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function ​f(x)​P(X​x) is given below. ​f(x)​{(0,​), ​(1,​), ​(2,​), ​(3,​)} Recall that the mean of a discrete random variable X with probability mass function ​f(x)​P(X​x) is given by . Find for the probability mass function above. What does this number​ represent?

Answers

Answer:

The mean for the probability mass function is 0.64287.

Step-by-step explanation:

The complete question is:

In a batch of ​28 pedometers, 3 are believed to be defective. A​ quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.

The probability mass function ​f (x) is:

f (x)​ = {(0, 0.47009​), ​(1, 0.42308​), ​(2,​ 0.10073), ​(3, 0.00611​)}

Solution:

The mean of a discrete random variable X with probability mass function f (x) is:

[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]

Compute the mean for the probability mass function above as follows:

[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]

  [tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]

Thus, the mean for the probability mass function is 0.64287.

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Answers

Answer:

9.6 cm

Step-by-step explanation:

Since the shapes are similar, we can write a proportion. Let x be the length of MN.

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9x = 12(7.2) Use cross products.

9x = 86.4 Multiply.

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Side MN is 9.6 cm.

What is a good topic to research for linear regression?

Answers

Answer:

Growth rate of plants compared to average daily temperature.

Step-by-step explanation:

Which sequence of transformations creates a similar but not congruent triangle? (5 points)
A
Rotation and reflection
B
Reflection and translation
C
Translation and rotation
D
Dilation and reflection

Answers

Answer:

D. Dilation and reflection

Step-by-step explanation:

There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.  

Answer:

d

Step-by-step explanation:

answer fast plz.........................

Answers

Answer:

180 customers

Step-by-step explanation:

72/100 × x/250

cross multiply

72 × 250 = 100 × x

18000 = 100x

divide both sides by 100

180 = x

Answer:

180

Step-by-step explanation:

72% of 250 is 180 :)

d) Jerry, Barry, and Harry went fishing and they each caught a giant fish! Jerry's fish is 62 inches long. Barry's fish is 7 feet long. Harry's fish is 2 yards long. Who caught the longest fish?

Answers

No it’s berry 2yards=6feet so they are all smaller than berrys 7foot fish

A nursery owner buys 7 panes of glass to fix some damage to his greenhouse. The 7 panes cost ​$17.15. ​Unfortunately,he breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of​ glass?

Answers

Answer:

$4.90

Step-by-step explanation:

17.15 / 7= 2.45

2.45*2=4.9

the cost of another two pains of glass is $4.90

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Answers

Answer:

C

Step-by-step explanation:

The answer is C for that question.

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Answers

Answer:

90.

Step-by-step explanation:

If the number of girls = x then the number of boys = x+60 and the total is 2x + 60.

As the ratio of boys to girls = 5:1, the fraction of boys = 5/6 and of girls is 1/6.  

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x = 10*3/2 = 15.

So the total number of people = 2(15) + 60 = 90.

Given: PS=RT, PQ=ST
Prove: QS=RS

Answers

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5.
Evaluate f(x) = -2x2 -4 for x = 3.
O -10
O -18
10
-22

Answers

Answer:

-22

Step-by-step explanation:

f(x) = -2x^2 - 4 for x = 3

f(3) = -2(3)^2 - 4

f(3) = -2(9) - 4

f(3) = -18 - 4

f(3) = -22

Answer: -22

Answer:

-22

Step-by-step explanation:

put the following numbers in order from smallest to largest
548654
550654
1547521
1485554
1547656
1256441
995841​

Answers

Answer: 548654, 550654, 995841, 1256441, 1485554, 1547521, and 1547656

Hope this helps

I need help please ​

Answers

The answer is 14! All you need to do is replace x for 2 and solve. Hope this helped at all :)

Ill MARK BRAINLIST PLS HELP !!!

Answers

Answer:

28

Step-by-step explanation:

you find the length of the side of one cube by using the equation they gave you, so 343^(1/3) would be 7. they're are 4 cubes lined up, so you multiply 7 by 4 to get 28.

answer is 28 bud good luck bud

6. Which of the following is true about the
graph of the equation y = -5x + 10?
A. The graph would increase from left to right.
B. The graph would pass through the origin.
C. The graph would have a positive y-intercept.

Answers

Answer:

C

Step-by-step explanation:

The graph would have a positive y-intercept

The y-intercept is when x = 0

To find the y-intercept, plug in 0 for x

y = -5(0) + 10

y = 0 + 10

y = 10

10 is a positive number

Y-intercept is positive

C. The graph would have a positive y- intercept
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