If a polynomial function f(x) has roots 4 - 131 and 5, what must be a factor of f(x)?

Answers

Answer 1

Answer:

(x - 4), (x + 131), and (x - 5) must all be factors of f(x).

Step-by-step explanation:


Related Questions

Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of beef?

Answers

Answer:

$13.77 for three pounds of beef

Answer:

THE ANSWER WOULD BE $13.77 FOR THREE LBS OF BEEF

Step-by-step explanation:

$4.59 x 3 = $13.77

PLEASE MARK BRAINLIEST IF THIS HELPED I ONLY NEED 1 MORE

How many multiples of 4 are natural
numbers less than or equal to 10?

Answers

Answer:

2, there'd be more, but natural numbers are like, whole numbers, integers basically except they're like non-negative integers. Enough ranting. So 4 and 8 would be the numbers because they are mulitplied by 4,1, and 2.

Since 4 cant go into 10 completely without a decimal, there'd only be 2 multiples.

Confusing explanation, but i think my answer is correct. (or is it, dun dun dun!)

Have a good day~

The rectangles in the figure below are similar. Find the value of x.

A. 2.4
B. 2.7
C. 6
D. 6.7

Answers

Answer: the answer is 6

Step-by-step explanation:

The value of x is 6.

What is Similarity?

Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.

Given:

As, the rectangles in the figure below are similar.

Using the property of similarity

x/(x+ 4) = 3/5

5x = 3x + 12

5x - 3x = 12

2x = 12

Divide both side by 2

2x /2 = 12/2

x = 6

Hence, the value of x is 6.

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A pitcher throws a baseball to a batter who then hits the ball. At which of these times would the ball have its maximum speed? A. just as it leaves the bat B. a second after it leaves the bat C. two seconds after it leaves the bat

Answers

Answer:

  A. just as it leaves the bat

Step-by-step explanation:

It depends on the assumptions you make.

If you assume that the speed is reduced by air resistance, and that the hit is a fly ball, then the speed begins to slow as soon as the ball leaves the bat. Its maximum speed will be just as it leaves the bat.

__

If you assume no air resistance and that the ball takes 1 second to reach the ground, the speed will be a maximum just as the ball hits the ground, a second after it leaves the bat.

__

If you assume no air resistance and that the ball takes 2 seconds to reach the ground, the speed will be a maximum just as the ball hits the ground, two seconds after it leaves the bat.

__

Depending on the nature of the pitch and the hit (and the assumptions you make about energy loss and gain), the maximum speed may be as the ball leaves the pitcher's hand, or just as the ball hits the bat.

__

My guess is that the assumptions listed for the first case are the ones you're most likely expected to use. The answer above reflects that choice.

helppppppppppppppppp​

Answers

Answer:

C

Step-by-step explanation:

Note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 4x + 1 + x² - 5 ← collect like terms

= x² + 4x - 4 → C

x = 1 and y = -3 satisfy x - 2y = 5
True or false

Answers

Answer:

false

Step-by-step explanation:

Step :1

Given x- 2 y =5 .......(1)

put x=1 and y= -3 on left hand side of given equation

1 - 2 (-3) = 5

1 + 6 = 5

7 ≠ 5

both sides are not equal

so it is false

Answer:

false

Step-by-step explanation:

x - 2y = 5

when x = 1, and y = -3

1 -2(-3) = 5

1 +  6 = 5

7 ≠ 5

The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?

Answers

Answer:

25

Step-by-step explanation:

Solving the inequality

x - 3 ≥ 2 ( add 3 to both sides )

x ≥ 5

Thus the least value of x is x = 5, hence

least possible value of 5x = 5(5) = 25

Final answer:

The least possible value of 5x, when x-3≥2, is 25, as x must be at least 5, and 5x equals 25 when x is 5.

Explanation:

The student's question asks to find the least possible value of 5x given the inequality x-3≥2. To solve this, we first find the smallest value of x that satisfies the inequality. We add 3 to both sides of the inequality to isolate x, obtaining x≥3+2, which simplifies to x≥5. Therefore, the smallest value of x is 5. Now, we multiply this value by 5 to find the least possible value of 5x, which is 5×5=25.

12(5+2y) = 4y - (5 - 9y)
What is y?

Answers

Answer:

y=-65/9

Step-by-step explanation:

12(5+2y)=4y-(5-9y)

60+24y=4y-5+9y

60+24y=13y-5

60+24y-13y=-5

60+9y=-5

9y=-5-60

9y=-65

y=-65/9

The value of y that satisfies the equation is y = -65/11.

The equation is given as follows:

12(5+2y) = 4y - (5 - 9y)

To find the value of y that satisfies the equation, we can solve for y by simplifying the equation.

Given equation:

12(5 + 2y) = 4y - (5 - 9y)

First, let's simplify both sides of the equation:

60 + 24y = 4y - 5 + 9y

Next, let's combine like terms:

24y - 4y - 9y = -5 - 60

Simplifying further:

11y = -65

Finally, divide both sides of the equation by 11 to solve for y:

y = -65/11

Therefore, the value of y that satisfies the equation is y = -65/11.

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Puppy B weighs 8 pounds which is about 75% of its adult weight what will be the adult weight of puppy B

Answers

Final answer:

The adult weight of puppy B is estimated to be around 11 pounds, as we learned by understanding percentages and using a mathematical formula to determine the total from a known percentage.

Explanation:

The subject is Mathematics and it involves a commonly used concept known as ratios and percentages. From the question, we know that puppy B weighs 8 pounds which is about 75% of its adult weight. This means that the adult weight will be greater than 8 pounds.

To find the adult weight, we know that the puppy's current weight represents 75% of it. So, we use the formula to find the total when we know the percentage:

Weight = percentage / 100 * total Weight = 8 pounds, Percentage = 75 Then we rearrange to find the total: Total = Weight / (Percentage / 100) = 8 / (75 / 100) = 8 / 0.75 = 10.67 pounds approximately

Therefore, we can estimate that the adult weight of puppy B will be around about 11 pounds.

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The adult weight of Puppy B will be approximately 10.67 pounds.

To find the adult weight of Puppy B, we can set up a simple proportion based on the given information that 8 pounds is 75% of its adult weight. Let's denote the adult weight as A .

We can express the relationship as:

[tex]\[ 8 \text{ pounds} = \frac{75}{100} \times A \][/tex]

To solve for [tex]\( A \)[/tex], we can multiply both sides of the equation by [tex]\( \frac{100}{75} \)[/tex] to isolate [tex]\( A \)[/tex]:

[tex]\[ A = 8 \text{ pounds} \times \frac{100}{75} \][/tex]

Now, we calculate the value of  A:

[tex]\[ A = 8 \times \frac{4}{3} \][/tex]

[tex]\[ A = \frac{32}{3} \][/tex]

[tex]\[ A \approx 10.67 \text{ pounds} \][/tex]

Therefore, the adult weight of Puppy B is approximately 10.67 pounds.

The system crosses (3,4). How many solutions will the system have?

Answers

Answer:

the system would have crossed one solution

scientific notation of .313

Answers

Answer:

3.13 * 10^-1

Step-by-step explanation:

you mean like 3.13 x 10^2?

martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t seconds after martin releases it.
how many seconds before the ball martin threw hits the ground?
show your work.
(pls answer asap!!)

Answers

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

[tex]h(t)=-16t^2+40t+5[/tex]

we know that

When the ball hits the ground, the height is equal to zero

so

[tex]-16t^2+40t+5=0[/tex]

The formula to solve a quadratic equation of the form

[tex]at^{2} +bt+c=0[/tex]

is equal to

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^2+40t+5=0[/tex]

so

[tex]a=-16\\b=40\\c=5[/tex]

substitute in the formula

[tex]t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}[/tex]

[tex]t=\frac{-40\pm\sqrt{1,920}} {-32}[/tex]

[tex]t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec[/tex]

[tex]t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec[/tex]

therefore

The solution  is t=2.62 seconds

which inequality is graphed on the number line ?

Answers

c because the dot in the middle is filled, aka it’s a equal to answer and the arrow is pointing higher so it’s greater than or equal to. so x is greater than or equal to -3

a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel

Answers

Answer:

1/7

Step-by-step explanation:

Heads: 1/2

Accomplished: 14 letters

Accomplished: 4 vowels

P(vowel) = 4/14 = 2/7

P(H and vowel) = 1/2 * 2/7 = 1/7

Final answer:

The probability of tossing a head and then selecting a vowel from the word 'accomplishment' is 3/28 or approximately 0.107.

Explanation:

The question asks us to find the probability of getting a head on a coin toss and then picking a vowel from the word 'accomplishment'. First, we determine each probability separately. The probability of getting a head when tossing a fair coin is 1/2, as there are two outcomes (head or tail), and getting a head is one of them.

The word 'accomplishment' has 14 letters, of which 3 are vowels (a, o, i). Therefore, the probability of picking a vowel at random from 'accomplishment' is 3/14. To find the combined probability of both events happening in sequence (tossing a head then picking a vowel), we multiply the probabilities of the individual events: (1/2) * (3/14) = 3/28 or approximately 0.107.

Please solve for x. (-:

Also please show me a step-by-step, thanks! uwu

Answers

Answer:

[tex]x=27[/tex]

Step-by-step explanation:

we know that

[tex](3x+9)^o+90^o=180^o[/tex] ----> by supplementary angles (form a linear pair)

Solve for x

Combine like terms

[tex](3x+99)^o=180^o[/tex]

subtract 99 both sides

[tex]3x=180-99\\3x=81[/tex]

Divide by 3 both sides

[tex]x=27[/tex]

7 2/3 + 2 1/5 as a fraction

Answers

Answer:

148/15 or 9 13/15

Step-by-step explanation:

7 2/3 + 2 1/5

7 2/3 needs to be translated into a bigger fraction by taking 7 and multiplying it with the denominator and then adding onto the numerator.

7 2/3 = 23/3

The same goes for 2 1/5.

2 1/5 = 11/5

Now we have 23/3+11/5 so we need to find a common denominator which would be fifteen.

23/3 + 11/5

23/3 x 5/5 = 115/15

11/5 x 3/3 = 33/15

115/15 + 33/15 = 148/15

The value of 7 2/3 + 2 1/5 is 9 13/15

The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:

= 7 2/3 + 2 1/5

= [7 + 2/3× 15] + [2 1/5 × 15]

= 7 10/15 + 2 3/15

= 9 13/15

In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15

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Hair Color Boys Girls
Black 4 5
Blonde 4 6
Brown 10 8
Red 2 1

The table shows the number of boys and girls that have black, blonde, brown, or red hair color.

What is the probability that a student has brown hair? (round to nearest hundredth)
A) 0.42
B) 0.45
C) 0.58
Eliminate
D) 0.82

Answers

Answer:

B) 0.45

Step-by-step explanation:

The total number of students is:

4 + 5 + 4 + 6 + 10 + 8 + 2 + 1 = 40

The number of students with brown hair is 10 + 8 = 18.

So the probability is:

P = 18/40 = 0.45

Answer:  B.) 0.45

~~~~~~~~~~~~~~

At Keller's Bike Rentals, it costs 42$ to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar? rounded to nearest hundredth

Answers

Final answer:

By dividing the total hours of bike use (8 hours) by the total cost ($42), you find that a customer gets approximately 0.19 hours of bike use per dollar when renting a bike at Keller's Bike Rentals, rounded to the nearest hundredth.

Explanation:

To determine how many hours of bike use a customer gets per dollar at Keller's Bike Rentals, we need to perform a simple division calculation using the information provided. The total cost of renting a bike for 8 hours is $42.

Dividing the total hours of bike use by the total cost gives us the hours of bike use per dollar:

Hours per dollar = Total hours of bike use / Total cost

Hours per dollar = 8 hours / $42

Now, we perform the division:

Hours per dollar = 0.19047619...

When rounded to the nearest hundredth, this is approximately 0.19 hours per dollar.

Selma is buying a cell phone for business. The regular price of the phone is $179. If she buys the phone at 20% discount how much will she save?

Answers

Answer:

[tex]\large \boxed{\$35.80}[/tex]  

Step-by-step explanation:

Discount = Regular price × % discount

[tex]\text{Discount} = \text{\$179 regular price} \times \dfrac{\text{\$20 }}{\text{\$100 regular price}} = \textbf{\$35.80}\\\text{Selma will save $\large \boxed{\mathbf{\$35.80}}$}[/tex]

Selma will save $35.8 after getting 20% discount on regular price.

What is Discount?

" Discount is the deduction amount from the regular price assigned to any product."

Formula used

Discount = Regular Price × discount %

According to the questions,

Regular price = $179

Discount% = 20%

Substitute the value in the formula we get,

Discount = 179 × 20%

               = 179 × (20 / 100)

              = $ 35.8

Hence, Selma will save $35.8 after getting 20% discount on regular price.

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george buys a bowl of soup and bread for $8.00 and leaves a 6% tip what is the total cost of the meal

Answers

Answer:

$8.48

Step-by-step explanation:

$8.00 x .06%= $ .48  ---$8.00 + $ .48=$8.48

Answer:

$8.48

Step-by-step explanation:$8.00 x .06%= $ .48  ---$8.00 + $ .48=$8.48

plz help asap......................................

Answers

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

[tex]c^2=a^2+b^2-2abcos\theta[/tex]

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

[tex]$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Given ∠P and the sides r, q are known.

To find the value of p:

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

The product of 10 and half of A

Answers

Answer:

Step-by-step explanation:

What is the quotient?
212,960 - 1000
o
2.1296
21.296
212.96
0
2129.6

Answers

The quotient is 212.96.

Solution:

Given expression is [tex]\frac{212,960}{1000}[/tex].

Divide the given expression to find the quotient.

Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..

If you have one zero in the divisor (10), then the decimal point will move 1 place to the left of the last digit.If you have two zeros in the divisor (100), then the decimal point will move 2 place to the left of the last digit.If you have three zeros in the divisor (1000), then the decimal point will move 3 place to the left of the last digit.

[tex]$212960\div1000=\frac{212960}{1000}[/tex]

Here, we have 3 zeros in the denominator.

So, the decimal point is move 3 digit to the left of the last digit.

[tex]$212960\div1000=212.96[/tex]

So, option C is the right answer.

Hence the quotient is 212.96.

Answer:212.96

Step-by-step explanation:

The first house on the street has a lawn that is 300 feet long. The second house
has a lawn that is 50 feet shorter than the first lawn. The third house has a lawn
that is twice that of the second house. How far is it from the beginning of the
first house's lawn to the end of the third house's lawn?
feet

Answers

Final answer:

The total distance from the beginning of the first house's lawn to the end of the third house's lawn is 1050 feet. This calculation is done by adding the length of the first house's lawn (300 feet), the second house's (250 feet), and double the second's lawn for the third house's (500 feet).

Explanation:

To calculate the total length of the lawns from the first to the third house, we first determine the length of each lawn individually and then add them together:

The first house has a lawn that is 300 feet long.

The second house has a lawn that is 50 feet shorter than the first lawn, so it is 300 - 50 = 250 feet long.

The third house has a lawn that is twice the length of the second house's lawn, so it is 2 × 250 = 500 feet long.

Add the lengths of the three lawns together to find the total distance from the beginning of the first house's lawn to the end of the third house's lawn:

300 feet + 250 feet + 500 feet = 1050 feet

Therefore, it is 1050 feet from the beginning of the first house's lawn to the end of the third house's lawn.

Melanie read 45 pages of a hundred page book her younger sister read half of a 10 page book who read a greater fraction of her book Melanie or her sister

Answers

melanies fraction would be 45/100 and her younger sisters would be 5/10 since it’s only half. so her sister read more.

Lolo typed 1,125 words in 15 minute let w represent the number of words typed each minute if Lolo typed the same number of word each minute how many words did she type in 1 minute

Answers

Answer:

15 words

Step-by-step explanation:

i looked it up online

The rate at which energy is used is called
work, voltage, power, or amperage.

Answers

Answer:

The rate at which energy is used is called power.

Step-by-step explanation:

Answer:

Power is the answer

Step-by-step explanation:

What is the value of 7 in the number 82.76? Give your answer as a fraction

Answers

Answer:                                                            

it would be 7/10

The required value of the 7 in the number is 1/10th of the given number.

Given that,
The value of 7 in the number 82.76, is to be determined.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
The number 82.76 = 8 × 10 + 2 × 1 + 1/10×7 + 1/100×6
So the position of the value 7 in the given number from the above expression is given as 1/10th.

Thus, the required value of the 7 in the number is 1/10th of the given number.

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Can someone please answer this question please answer my questions answer it correctly please and show work please

Answers

Answer:

1) A

2) B

Step-by-step explanation:

1)   Zoe payed a total of $77.49

$4.99 shipping fee + 14.50(n) scarves = $77.49

4.99 + 14.50n = 77.49

A

2)  

2 electrons, each have a (-1) charge

2 protons, each have a (+1) charge

-1 - 1 + 1 + 1

-2 + 2

0

B

Hope this helps :)

Determind the total area of the rectangle. Give your answer in factorised form.

Answers

Answer:

2(x + 3)(4x + 1)

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = length × width

length = 2(x + 3)

width = 2x + x + 1 + x = 4x + 1

Thus

A = 2(x + 3)(4x + 1)

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