One factor of f(x) = x^3 - 3x^2 - 28x + 60 is (x - 6). What are the zeros of the function? Please show and explain all your steps. Thank you for your help.

Answers

Answer 1

Answer:

Step-by-step explanation:

f(x) = x^3 - 3x^2 - 28x + 60

x(x^2-3x-28)+60

Factor the inside of the parenthesis

Multiples of 28: (1X28),(2X14),(4X7). 7-4=3, 7 & 4 is the correct multiple.

x(x-7)(x+3)+60

Roots: 0,7,-3,6

Also you can plug your function into Desmos and see where it crosses the x-axis.


Related Questions

Graph ​y=−47x+1​. Use the line tool and select two points on the line.

Answers

Answer:

Ok so I don't have a graphing thing on my computer but on the y axis you are going to put a dot on the one then go up 47 and to the right 1 and put a dot sorry that is as much as i can help you

can someone help me how to do this​

Answers

Answer:

Answers in Bold

Step-by-step explanation:

Point Slope Form: (y - y₁) = m(x - x₁)

4. y - 4 = 0.8(x - 2)

   - To make it slope-intercept form

   y - 4 = 0.8x - 1.6

   y = 0.8x + 2.4

5. (Use slope finding formula) 4 - 10 / -2 - (-5) = 2

   y - 4 = 2(x + 2)

   - To make it slope-intercept form

   y - 4 = 2x + 4

   y = 2x + 8

NEED HELP ASAP!!
find the measure of the angle.

Answers

Answer:

35 degree

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11/3 / ? = 11


Please help!!

Answers

Answer:

the answer is 1/3

Step-by-step explanation:

hoped I helped :)

0.941176471 to the nearest hundredth ?

Answers

0.941176471 to the nearest hundredth is 0.94

In London. I pint of milk costs 58p.
In Paris, 1 litre of milk costs 1.05 euros.
1 litre = 1.76 pints
£1 = 1.17 euros
In which city is the milk better value for money, London or Paris?
You must show your working.

Answers

Comparing the equivalent cost of Milk in Euro in the two countries, then we can conclude that Milk is a better value for money in Paris.

In other to make accurate comparison of the cost ; we need to using the same unit or milk and same currency value :

Cost of 1 pint of Milk in London :

1 pint = 0.58 pounds

The equivalent value of 1 pint of Milk in terms of Euro in London will be :

1 pound = 1.17 euro

0.58 pound = x

Cross multiply :

x = 1.17 × 0.58

x = 0.6786 euro

x = 0.68 euro

Hence, 1 pint of Milk cost 0.68 euro in London

Cost of 1 pint of Milk in Paris :

1 Litre = 1.76 pint

Hence,

1.76 pint = 1.05 euro

1 pint = c

1.76c = 1.05

c = 1.05 / 1.76

c = 0.597 euro

Hence, cost of 1 pint of Milk cost 0.60 euro in Paris

Therefore, since the cost of Milk in Paris cost less in Paris than in London, then Milk is a better value for money in Paris.

Learn more :https://brainly.com/question/18109354

There are 454 grams in a line. There are 16 ounces in a pound.How many grams are in an ounce?

Answers

Answer:

28.375 (rounded to 29 grams)

Step-by-step explanation:

there are about 454 grams in a pound and 16 ounces in a pound, so to find the relationship we divide 454 by 16 to get 28.375 or about 29 grams

which units in the metric system are used to measure distance?

Answers

Answer:

In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

I think it is right ...

28. A factory makes rugs at a constant rate of 10 rugs every 4 hours. Which statement is true?

Answers

Not sure what the statements are but the most probable answer would be the factory makes 2.5 rugs every hour. Please give me a brainliest if you found this helpful:)

A line passes through the points (0, –5) and (8, –10). What is its equation in slope-intercept form?

Answers

Answer:

y=-[tex]\frac{5}{8}[/tex]x-5

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].

[tex]\frac{-10-(-5)}{8-0}=\frac{-5}{8}[/tex]

This is the slope of your equation

Now rearrange the slope-intercept equation to get your y-intercept

y=mx+b

y-mx=b

Now substitute either of your two points to find your y-intercept

-10-(-[tex]\frac{5}{8}[/tex](8))=b

-10-(-5)=b

-10+5=b

b=-5

Now that you have slope and the y-intercept you can write your equation:

y=-[tex]\frac{5}{8}[/tex]x-5

Is line p || to line q? Why?

Answers

Step-by-step explanation:

yes, because the angles match. per rule of intersecting lines the angles in one side of an intersected line are the same but mirrored on the other side of the line.

since q behave exactly as p would regarding the intersecting angles, they are parallel.

Maria conducted an in-person pre-election survey about voter preferences in the Democratic primary. She found that nearly all respondents (98 percent) were open to supporting a woman candidate. However, in the anonymous follow-up survey that re-interviewed the respondents, only 80 percent responded that they would be open to supporting a woman candidate. What could be generating these different results

Answers

Answer:

the social desirability effect

Step-by-step explanation:

Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.

As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies. As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.

Hence the social desirability bias is the main culprit for such a response.

Learn more about the Maria conducted an in-person pre-election survey about voter preferences.

brainly.com/question/16593814.

tom asks at an average speed of 80km per hour for 3 hours and 45 minutes. work out how many kilometers Tim drives.

Answers

Answer: 300km

Step-by-step explanation:

The question is how long will he go in 3 hours and 45 minutes.

3 hours and 45 minutes is equal to 3.75 house 45/60=3/4 75/100=3/4

So multiply 3.75 by 80 for 300

Hope this helps!

Please mark Brainliest!

helpp pleaseee
this is due tmr

Answers

Answer:

25 weeks

Step-by-step explanation:

I did the work so you can see if you need the explanation just ask and I'll comment it

Answer:

i think it is 25

Step-by-step explanation:

i 900÷36 × the answer which is 25

Please help me I will mark brainliest
Solve for X
2 + 3.0-9=1-1+22
1

Answers

Answer:

x = 2

Step-by-step explanation:

what's 52 written as a decimel

Answers

52% as a decimal would be 0.52.
Move the decimal to the left twice.

Answer:

0.52

Step-by-step explanation:

12. Zachary Tylar 72% commission? earns commission on sales of $4,255. What is his commission ​

Answers

Answer:

$3063.6

Step-by-step explanation:

72% of $4,255 = $3063.6

The formula for finding percents is number x percent ÷ 100.

4,255 x 72 ÷  100 = 3063.6

using the remainder theorem which quotient has a remainder of 20?

Answers

Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

[tex](-4)^{4}[/tex] - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3[tex](2)^{4}[/tex] - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

Answer:

(3x^(4)-5x^(3)+5x+2)-:(x-2)

Step-by-step explanation:

Plato/Edmentum

ty again
In March, Isaiah and Freddie had the same amount of money in their savings accounts. In April, Isaiah deposited $210 into his account. Freddie increased the money in his account by 15%. When they compared their balances, they found that they were still equal.

How much money did they both have in their accounts in March?

Enter your answer in your box.

Answers

Answer:

let the amount deposited by each of them in march be m.

in April, Isaiah deposited 210$, this means the amount in his account became m+210

Freddie increased the amount by 15%, this means that the amount of money in his account became: m+0.15m

since both values are still equal, we will equate both equations and solve for m.

m+210 = m+0.15m

0.15m = 210

m = 1400$

Step-by-step explanation:

Write the mixed number as an improper fraction. 7 2/7

Answers

Answer: 10 2/7

Explanation
7 2/7 = 7*7+2 = 49+2 = 51

Hope this helps!
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I’ll give brainliest plz help me

A kitten weighs 84 grams and gains 12 grams each day. The kitten's weight is
a linear function of time. Which statement best describes the rate of change
and initial value of this function?

A. The rate of change is the number of grams gained per day, and the
initial value is the first day.

B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.

C. The rate of change is the starting weight, and the initial value is
the number of grams gained per day.

D. The rate of change is the number of days per gram gained, and the
initial value is the first day.

Answers

B. The rate of change is the number of grams gained per day, and the
initial value is the starting weight.

Answer:

B.The rate of change is the number of grams gained per day, and theinitial value is the starting weight.

Step-by-step explanation:I GOT IT RIGHT

guess my age and ill make you brianlest 2007 8 14

Answers

Answer:

15 or 16

is it? I dont know

Answer:

14 year old

Step-by-step explanation:

8 14 2007

The Lopez family spends 28% of their monthly budget on housing. What is the equivalent fraction of the family’s budget that is spent on housing?

please help me .

Answers

We are required to find the equivalent fraction of the family’s budget that is spent on housing

fraction of the family’s budget that is spent on housing is 7/25

let

Total budget of the family = x

Monthly housing budget = 28%

percentage monthly housing budget = 28% of x

= 28/100 × x

= 0.28x

Fraction of the family’s budget that is spent on housing = 28/100 × x

= 7/25 × x

= 7/25x

Therefore, fraction of the family’s budget that is spent on housing is 7/25

Read more:

https://brainly.com/question/20865580

f(x) = 3x^2+ 4x^2 – 8x - 2
g(x) = 3x - 5
Find (f - g)(x).

Answers

The answer is D. 3x^3+4x^2-11x+3

write the log equation as an exponential equation. you do not need to solve for x.

Answers

Answer:

2x^5log=1/6

Step-by-step explanation:

using the natural log (e), we were able to give the power of 5 to 2x and then take it out from the parantheses

The slope of ( 3, 5 ) with ( 4, 6 )

Answers

I hope this helps you

whats the answer 100x100-234+098

Answers

I need someone to answer pls

Answer: Simplify the expression.

9864

3 -14x -x + 25 + 15 simplify​

Answers

Answer:

−15+43

Step-by-step explanation:

1. Add the numbers

= 3−14x−x+25+15

= 43−14−

2. Combine like terms

= 43−14x−x

= 43−15

3. Rearrange terms

= 43−15x

= −15+43

What is the diameter of the following circle?
5 units

Answers

Answer:

10

Step-by-step explanation: Just mutiply the radius by 2

Calcula la suma de las longitudes de los catetos, si la hipotenusa mide 15 u y la altura relativa a ella mide 6 u.
UwU

Answers

Answer:

9 sqrt(5)

Step-by-step explanation:

La altura relativa a la hipotenusa corta la hipotenusa en dos segmentos.

Defina x como

x = la longitud de uno de esos segmentos

Entonces, la longitud del otro segmento = 15 - x.

Entonces, por el teorema, tenemos que (15-x) (x) = 36, de modo que

15x - x ^ 2 = 36

x ^ 2 - 15x + 36 = 0

(x-3) (x-12) = 0

Entonces, x = 3 o x = 12.

Sin pérdida de generalidad. sea ​​x = 3.

Entonces, la suma de las dos piernas es

raíz cuadrada (6 ^ 2 + 3 ^ 2) + raíz cuadrada (12 ^ 2 + 6 ^ 2) =

raíz cuadrada (36 + 9) + raíz cuadrada (144 + 36) =

raíz cuadrada (45) + raíz cuadrada (180) =

raíz cuadrada (9 * 5) + raíz cuadrada (36 * 5) =

3 raíz cuadrada (5) + 6 raíz cuadrada (5) =

9 cuadrados (5)

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