Identify all of the roots of the function.
f(x) = x3 – 5x2 – 2x + 24
–2
–3
2
3
4
Answer:
Roots are -2, 3, and 4
Step-by-step explanation:
Let's use the rational roots test.
Starting with the constant term (24), the roots are 1, 2, 3, 4, 6, 8, 12, and 24 (both positive and negative).
Starting with 2.
8 - 20 - 4 + 24 = 8 (so 2 is not a root).
Let's try 3.
27 - 45 - 6 + 24 = 0 (so 3 is a root). (x-3) is a factor.
Now we can divide x3-5x2-2x+24 by x-3 to get a polynomial.
x3-5x2-2x+24 / x-3
x2 - 2x - 8 = (x-4)(x+2)
Answer:
A, D, E
Step-by-step explanation:
For edge
Determine each missing number.
a) 25% of 84 = ■
b) 24% of 200 = ■
c) 10% of ■ = 5
Fil in the squares please!!
Step-by-step explanation:
a. 25% of 84 = ?
To solve this problem;
[tex]\frac{25}{100}[/tex] x 84
25 goes in 100, 4 times
= [tex]\frac{1}{4}[/tex] x 84
= 21
b. [tex]\frac{24}{100}[/tex] x 200 = ?
100 goes in 200 , 2 times
24 x 2 = 48
c. [tex]\frac{10}{100}[/tex] of t = 5
[tex]\frac{10}{100}[/tex] x t = 5
[tex]\frac{t}{10}[/tex] = 5
t = 50
Consider the graph below of a piecewise defined function.
Which of the following statements are true? Select all that apply.
A. The graph is increasing when x<-2.
B. The graph has a relative minimum at (0, 0).
C. The graph has two relative maximums.
D. The graph is decreasing when -2
E. The domain is -6
F. The range is x≤4.
Answer:
D is the answer
Step-by-step explanation:
What happens when you press the enter key at the end of a line of bulleted text.
Answer:
when you use to typewriter, you have to use the carriage return at the end of every line In a typewriter, the fundamental unit of display,if you like,is a line. You type a line, then use the carriage return.
the fundamental unit a Word document is a paragraph.
When you use to word processor,such as Word, you don't use the carriage return at the end of every line. You just keep typing. Type type type. Word knows where the margins are. You can see the margins, too: the dotted rectangle on the page show you where they are. Just keep typing and Word will wrap the text within the margins.
Make sure you can see when you've pressed Enter by clicking the q button on the Standard Tollbar or on the Home tab. The q is the end-of-paragraph market.It shows you when you've pressed Enter
Press Enter to indicate the end of a paragraph,not the end of a line.
Compare the degree of a polynomial and its depressed polynomial.
Answer:
The degree of a polynomial is one more than the degree of its depressed polynomial.
Step-by-step explanation:
A music store owner noted that CD sales had dropped 12% from one quarter to the next. If the owner sold 460 units in the first quarter, how many did she sell in the next quarter?
Answer:
404.8
Step-by-step explanation:
100%=460
12%=x
x=(12*460)/100
x=55.2
Answer=460-x
What number is 45% less than 80?
Answer:
44
Step-by-step explanation:
Find 10% of 80 = 8
Multiply by 5.5 because 10-4.5
get = 44
Answer:
45% less than, or 45% of 80 would be 36.
Step-by-step explanation:
pls mark brainliest
a box can hold 3 1/3 pounds of gold a chest can hold 2 3/5 times the amount of the box. how many pounds can the chest hold
Answer:
[tex]\frac{26}{3}[/tex]pounds
Step-by-step explanation:
Given parameters:
Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds
Unknown:
Number of pounds of gold the chest can hold = ?
Solution:
The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;
So;
Number of pounds of the gold in the chest can hold;
= [tex]2\frac{3}{5}[/tex] times x Mass of gold in the chest box
= [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]
= [tex]\frac{26}{3}[/tex]pounds
Please help me with this please
Answer:
3.50 one thats it
if you need anyother help im here for you um yea...im not really in colage i just found this place at imn class lol im in 6th grade and am 11 years old lol thats my live oh and my dad is abusive lol yea...
Step-by-step explanation:
25 students are working in groups on a science project age group can have either two or three students in it what is the fewest number of groups there could be
Answer:
I believe 9
Step-by-step explanation:
25-21=4 (21 is 7×3)
4-4=0 (2×2)
The fewest number of groups are 9.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
25 students are working in groups on a science project, age group can have either two or three students in it.
To find the fewest number of groups:
25 divided by 3 we get remainder 1.
But 1 student can not form a group.
So, we have to find the remainder number that can form a group or groups.
25 divided by 3,
we get quotient 7 and 4 remainder.
And 4 means, 2 groups of 2 students in each.
That means, the number of groups are 7+2 = 9
Therefore, 9 is the required number.
To learn more about the division;
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A number more than 2.
Answer:
2n+2
Let the "number" be represented algebraically as
n.2 more than twice a number ⇔2 more than 2n 2 more than X2n
⇔2+2n or 2n+2
Step-by-step explanation:
A race car has gas mileage equal to 5.48 kilometers per liter. What is the car's gas mileage in miles per gallon?
Answer:
The probability that a car has a gas mileage between 29.8 and 30.3 miles per gallon is 0.0955
Step-by-step explanation:
Solve the inequality. |2x-6|+7 <15
Answer:
the answer to your questionis (-1,7)
I hope this helps
Write an equation to match this graph
Answer:
its y=x+7
Step-by-step explanation:
Find the value of a and b in the following = a + b
Can someone please help, ty!!
(Will mark brainliest)
Answer:
3rd one
Step-by-step explanation:
Answer:
1 AND 3 it was hard........
Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?
Help me please 10-13 please please helpp
Step-by-step explanation:
3 is the answer but i dont Know what is the real answer
Answer:
Look on internet, how to calculate definite properties of graphs. Hope this helps...
Step-by-step explanation:
Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
Answer:
See below.
Step-by-step explanation:
Total weekly salary:
regular weekly salary + amount from working over 40 hours
In one full week of 40 hours of work, you earn a regular salary of $340.
For each hour you work over 40 hours, you earn $12.50 per hour.
Let x = number of hours you work over 40 hours.
The amount you make from these extra hours is 12.5x
Your total weekly salary is
340 + 12.5x
You want your total weekly salary to be more than $490.
340 + 12.5x > 490
Answer:
answer
Step-by-step explanation:
Help plzzz will give brainliest
Answer:
1/3 and false at least i think wait for other answer to make sure it is correct
Step-by-step explanation:
pls help pls ill mark u brainliest
Answer: 3 1/3 - 3/5 + 1/2+3.2
Step-by-step explanation:
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
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does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.
Answer:
Infinite number of solutions
Step-by-step explanation:
Use distributive property to eliminate the parenthesis on the left:
8 x + 12 = 16 x + 12 - 8 x
combine like terms on the right:
8x+ 12 = 8 x + 12
subtract 12 from both sides
8 x = 8 x (notice both sides are identical)
subtract 8 x from both sides
0 = 0
This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")
The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?
Answer:
The base is 24 cm long.
Step-by-step explanation:
Equations
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]
And its value is 180:
[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]
Multiplying by 2:
[tex](h+9)h=360[/tex]
Operating:
[tex]h^2+9h-360=0[/tex]
Factoring:
[tex](h-15)(h+24)=0[/tex]
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
The number line shows the graph of an inequality:
A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)
Group of answer choices
No it cannot, because −4.5 lies to the left of −3.5.
No it cannot, because −4.5 lies to the right of −3.5.
Yes it can, because −4.5 lies to the right of −3.5.
Yes it can, because −4.5 lies to the left of −3.5.
Answer:
Problem says that the number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Graph is not given so I have created graph as per given description.
Now we have to select correct choice.
From graph we can easily see that third statement
"Yes it can, because −3.5 lies to the left of −1.5. " is correct.
Step-by-step explanation:
The answer is D
Misty wants to save money to purchase a new bicycle that costs $279. She
opens a savings account and deposits $7 per week. How many weeks will it
take for her to save enough money to buy the bicycle?
Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!
Step-by-step explanation:
Answer:
40 weeks
Step-by-step explanation:
Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.
Solution :
Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex] which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].
And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.
The area if the triangle is = [tex]$\frac{1}{2} \times 9 \times 9$[/tex]
= [tex]$\frac{81}{2}$[/tex]
Now the entire area is [tex]$(16)^2$[/tex] = 256
Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]
or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]
Thus the answer is [tex]$\frac{431}{512}$[/tex]
which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?
Answer:
17600
Step-by-step explanation:
calculator
Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51
The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:
3.5% / 12 months = 3.5/12%
6 years x 12 = 72 months
The amount after 6 years is:
= Amount x (1 + rate) ^ number of periods
= 5,000 x (1 + 3.5/12%)⁷²
= $6,166.51
In conclusion, the amount in the account after 6 years is $6,166.51.
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