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

Question
A building is in the shape of a cube with edge lengths of 36 feet. Find the number of cubic feet of air in the building. Then find the number of cubic yards of air in the building

Answers

Answer:

216

Step-by-step explanation:

6 x 36 is 216

hope that helps :)

REPOST** helppp please, can someone please answer and explain this or just answer, i'd prefer an explanation too, I'm don't understand this...

Answers

Answer

45 miles per hour .

the mean of eight numners is 41 the mean of two of the numbers is 29 work out the mean of the other six numbers

Answers

Answer: 270/6 =45

Step-by-step explanation:

There are 3 different sets of numbers involved here.

A set of six, a set of two and the set of all eight.

Each set has its own mean.

The amounts of plastic waste generated in a region during two years were 32,400,000 tons and 20,300,000 tons. What was the total plastic waste generated over these two years in the region, expressed in scientific notation?

52.7 ⋅ 1014 tons
52.7 ⋅ 107 tons
5.27 ⋅ 107 tons
5.27 ⋅ 1014 tons

Answers

Answer:52.7• 1014

Step-by-step explanation:

REPOST*
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.

Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2

Each month's highest recorded temperature is plotted on the number line.

4. Which month had the coldest of the three temperatures? Explain.

Answers

#4

June is the most coldest.

How?

Mention the temperatures

January=+6°F

June=-24°F

November=-2°F

Lowest is the coldest .(June is the coldest month)

January = 6°F

June = -24°F

November = -2°F

By the above given observation we can say that June is the coldest as it has the lowest temperature in all.

What is the remainder of this polynomial function?

Answers

Step-by-step explanation:

P(x) is divided by (x+3)

=> P(-3) = ...?

the provided options are : (-3, 6) , (0, 3) and (3, 9)

if the x coordinate = -3, the y coordinate = 6

so, the remainder is 6

if the order of matrix A is mxp and the order of matrix B is pxn what is the order of matrix ?​

Answers

Answer:

mxn will b the order of matrix

Step-by-step explanation:

Which equations are in standard form? Check all that apply
y = 2x + 5
2x + 3y = -6
o 4x+3y = 12
Oy=x-9
=
Olx 3 = 6
0 *x+3 = 6
2 3
O x-y = 5
5x + 3y = 1

Answers

Answer:

2x + 3y = -6

4x + 3y = 12

x - y = 5

5x × 3y = 1

Step-by-step explanation:

Standard form formula ➡ Ax + By = C

Hope this helped :)

Use the table from Callie's Candies to answer the question.



Lily is buying candy for party favors. She needs 1.5 pounds of chocolates, 0.75 pounds of mints, and 15 lollipops. What is the total cost for the candy?
A.
$5.84

B.
$8.82

C.
$15.30

D.
$18.27

just show the letter

Answers

We can use logic along with 3 linear equations to solve this problem.

For the three types of candies, we will write a slope-intercept form equation. We know what m (slope) is for each equation, and there is no y-intercept because there is no starting point.

Equations:

Mints: y=.96x
Chocolates: y=4.70x
Lollipops: y=.07x

Using the given information, we can use the equations in function form. We know what x (input) is for all three types of candy, and that will give us y (output), which is the total for that candy type.

Solving:

Mints: y=.96(.75)
Chocolates: y=4.70(1.5)
Lollipops: y=.07(15)
We just input our information into the equations. Using logic, we know that we will have to multiply the cost of the candy by the number of candies to get the total of the three types.

Totals:

Mints: y=.72
Chocolates: y=7.05
Lollipops: y=1.05.
*Recall that y=total cost of candy for each type.

Now, we just simply add the three costs up to get the total sum that the candy will cost:

.72+7.05+1.05=8.82

Therefore, all the candy will cost $8.82.

Hi I need help with this question please 20 points

Answers

Answer:

log 4

---------   that's the answer yw

   9

Step-by-step explanation:

Which equation represents the line that is parallel to
5
x
+
y
=
13
and passes through the point
(
15
,

31
)
?

Answers

y=-5x-44

Step-by-step explanation:

5x+y=13 passes through (15,31)

rearrange the equation to y=mx+c

5x+y=13

y=-5x+13

substitute the points (15,31)

y=5x+c

31=5(15)+c

31=75+c

-44=c

y=-5x-44

Can be written as 5x+y=-44

IM GONNA POST ALOT OF HOMEOWRK FOR ALGEBRA 1 CUZ TMRS THE DEADLINE FOR THIS

Answers

10. x-int: 2  y-int:-2

11. x-int: 4  y-int: 4

12. x-int: 2  y-int:4

13. draw a straight horizontal line at y=4 across the entirety of the graph

14.start at origin go up 3 every 1 box over in +x direction and down 3 in -x direction

15.start at y=4 and go up 1 every box over in +x direction and down 1 every box over in -x direction

what multiplies -46 and adds up to 21

Answers

Answer:

-2 and positive 23

Step-by-step explanation:

suppose another line for a chair lift is placed at a constant distance c below the gondola line. what is the equation of the new line? is the new line also parallel to the hill? explain.​

Answers

Answer:

Yes They are Parallel.

Step-by-step explanation:

The required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.

Given that,

Suppose another line for a chair lift is placed at a constant distance c below the gondola line. the equation of the new line and is the line parallel to the hill is to be discussed.

What is a line?

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The required new line is placed at a constant distance c below the gondola line,
If the line has a constant distance from the other line that implies that the line is parallel, and the equation of the line is given as,
y = ax + c

Thus, the required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.

learn more about lines here:

brainly.com/question/2696693

#SPJ5

Tony has a small fish tank that is 3 feet long, 2 feet high, and 1 foot wide. He wants to buy more fish, so he will need a fish tank with a larger volume. What would be the volume of a fish tank, in cubic feet, that has a scale factor of 3 compared with each dimension of his old fish tank?

Answers

The volume would be 162 feet^3

Which is the correct label of the parallel lines?

Answers

Answer:

[tex]a||b[/tex]

The reason is that lines a and b are parallel.

Please help! I need the answer asap :(

Answers

Answers: 1 and -1

Explanation:
Any number raised to the power of zero is 1. In the second problem, the outside negative sign makes the 1 negative.

Answer:

[tex]1 and -1[/tex]

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).8, 20,50,...Find the 10th term.

Answers

The value of the 10th term of the geometric progression is 30517.578

Based on the information given,

First term = 8

Second term = 20

Common ratio = 20/8 = 2.5

The nth term of a geometric progression is calculated as:

= ar[tex]n[/tex] - 1

The 10th term will then be:

= 8 × (2.5)[tex]9[/tex]

= 8 × 3814.6973

= 30517.578

Therefore, the value of the 10th term of the geometric progression is 30517.578.

Read related link on:

https://brainly.com/question/24987290

The 10th term of the geometric sequence is: 30,715.578.

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio q.

The equation for the nth term is:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

The first term is [tex]a_1 = 8[/tex].The common ratio is:

[tex]q = \frac{50}{20} = \frac{20}{8} = 2.5[/tex]

Thus, the nth term is given by the following equation:

[tex]a_n = 8(2.5)^{n-1}[/tex]

The 10th term is:

[tex]a_{10} = 8(2.5)^9 = 30517.578[/tex]

The 10th term of the sequence is 30,715.578.

A similar problem is given at https://brainly.com/question/23826475

In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Prove that ABCD is a parallelogram.

Answers

Since AD is congruent to BC, AD is parallel to BC, and all of the line segments meet, it forms a parallelogram.

The proof for ABCD is a parallelogram is shown below.

What is parallelogram?The opposing sides are equally spaced and parallel.Angles on either side are equal.The following or neighbouring angles are supplemental.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.

Given:

AD is congruent to BC,

and AD is parallel to BC.

So, if the quadrilateral have opposite sides congruent and parallel.

Such Quadrilateral are parallelogram.

Hence, the given quadrilateral is a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/19187448

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Convert 250.025 to a mixed number

Answers

Answer:

1/5

Step-by-step explanation:

It's already a mixed number.

The whole number part is 250 .

The fraction part is 0.025 . (Same thing as 1/40 .)

Done

To get to her parents' house, Karen would have to drive due north 9 miles. To get to her grandparents' house, she would have to drive due east 12 miles. What is the straight-line distance between the parents' and grandparents' houses

Answers

Answer:

in total 21 miles

Step-by-step explanation:

HELP!
Choose all that give the correct expression for the quantity described.
The difference of nine times a number x and the quotient of that number and 5.
9x − x over 5
Eight more than the quotient of twelve and a number n.
n over 12 + 8
The product of a number and the quantity ’six minus the number’ plus the quotient of eight and the number.
x(6 − x) + 8 over x
Sum of three consecutive even integers.2x + (2x + 2) + (2x + 4)

Answers

uhm that’s confusing i have no idea

Answer:

did u ever get on answer cause I'm stuck in this too

Step-by-step explanation:

Is anyone else doing sails math?

Answers

One of the questions you asked were:

Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.

Answer: V=a^3 or V ~ 30.96

Seven less than twice a
number is negative five.
What is the number?

Answers

Answer:

n = 1

Step-by-step explanation:

Represent the number by n.  Then "seven less than twice a number is -5 becomes 2n - 7 = -5

Next we must solve for n.  Adding 7 to both sides yields 2n = 2, so that

n = 1

does anyone get this??​

Answers

Answer:

no HAHHAAHHA

Step-by-step explanation:

WHAT IS THAT

The questions is - What is the slope intercept? Then convert your answer to standard form.

please help me Im pretty sure the slope intercept is y=1 but I dont know what that would be as standard form would be​

Answers

Answer:

y=1

Step-by-step explanation:

You're correct also graphed so you can see your answer is right

The graph is undedefined because it doesn't have a X and continues straight on one point. So for standard for you would put Y=1/undefined or just undefined

A 145​-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
i need to figure this out in the next 20 mins cause i have to turn this in to get a good grade please...

Answers

Answer:

4x + x = 145,                            x=29 (shorter piece)

5x=145

x=145/5 = 29

Step-by-step explanation:

if x=5 and y =-z what's the value of xy-6
working needed please asap
correct answers only
HOPE EVERYONE IS HAVING A GOOD DAY<3



























































































































































































































































































































































Answers

Answer:

1z

Step-by-step explanation:

5(-z)-6

-1(-z)

1z

I think that's right, but I'm not too great at math. Lmk. Hope it helps! :)

What is a meter in exponent form

Answers

Answer:

When working with small numbers, we use a negative exponent. So 0.1 meters is 1 × 10-1 meters, 0.01 is 1 × 10-2 and so forth.

Step-by-step explanation:

I got 100

mark as brainlest please

Please answer this fast. This was due October 6th and I need to get it done!!!!! The energy E of a moving object is called its
kinetic energy. It is calculated using the formula E = { mv2,
where m is the object's mass in kilograms and v is its
speed in meters per second. The units of kinetic energy are
kilograms - meters
abbreviated as kg • m²/s2.
seconda
a. Solve the given formula for m.
b. What is the mass of an object moving at 10 m/s with a kinetic
energy of 2500 kg · mº/s2?
. n

Answers

Answer:

Question a:

[tex]{ \rm{kinetic \: energy = \frac{1}{2} m {v}^{2} }} \\ [/tex]

• then let's make m the subject:

[tex]{ \rm{E = \frac{1}{2}m {v}^{2} }} \\ \\ { \rm{m {v}^{2} = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^{2} } }}}}}} \\ [/tex]

Answer: m = 2E/v²

Question b:

[tex]{ \rm{m = \frac{2E}{ {v}^{2} } }} \\ \\ { \rm{m = \frac{(2 \times 2500)}{ {10}^{2} } }} \\ \\ { \rm{m = \frac{5000}{100} }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}[/tex]

Answer: mass is 50 kg

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