Polynomial functions' standard form is f(x)=ax^n+bx^n-1...+k
However, polynomials can also be written in intercept form
f(x)=(x-x1)(x-x2)(x-x3)...(x-xn) for roots/zeros x1,x2,x3,...,xn
With the three numbers that you have -2, 3, -4 you can write function
f(x)=(x-(-2))(x-3)(x-(-4))
Then you can simplify and distribute
f(x)=(x+2)(x-3)(x+4)
f(x)=(x^2-x-6)(x+4)
f(x)=x^3+3x^2-10x-24
Which would be the answer
A submarine at - 45 feet dives 50 feet. Write an expression to represent the submarine's elevation. Need help
-150+(-45)= -195
Negative since it’s deeper
this might be yo answer im not sure
i hope this helped u tho
The sum of four consecutive even integers is 180
The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.
Which expression is equivalent to (4^5/4x4^1/4/4^1/2)^1/2?
Answer:
2Step-by-step explanation:
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You deposit $3500 in an account. Find the interest earned in 5 years at a simple interest rate of 7 1/2% per year.
Answer: $1312.5 is the amount of interest earned in 5 years.
im in the 6th and im helpful and i like to do math
Answer:
ok
Step-by-step explanation:
Josephine decides this shed is a little too big. She decides to cut 2 feet off the length and 2 feet off the width. She says this will make the shed 4ft^3 smaller. Explain with words and numbers why Josephine is incorrect
Answer:
Josephine needs to include the height as part of the volume calculation.
Step-by-step explanation:
See attached image.
1. The amount of extension in an elastic spring varies directly as the weight hung on it. If a weight of 150 gm produces an extension of 2.9 cm, then what weight would produce an extension of 17.4 cm
Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
[tex]\frac{2.9}{150}[/tex] = k , that is
k = [tex]\frac{29}{1500}[/tex]
e = [tex]\frac{29}{1500}[/tex] w ← equation of variation
when e = 17.4 , then
17.4 = [tex]\frac{29}{1500}[/tex] w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w
How do you identify a table as linear, exponential, or quadratic?
The way to identify these tables is through the way that the value of y increases.
How to identify a linear tableA linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.
How to identify an exponential tableThis is the table that the value increases with a common ratio. The y value doubles in this case.
How to identify a quadratic tableThis is a table that has a constant second difference.
Read more on Quadratic and linear functions here:
https://brainly.com/question/25841119
Suppose a pack of candy bars has 6 bars. Each bar weighs 5.87 ounces. How much does the pack weigh
Answer:
It would weigh 35.22 ounces.
Step-by-step explanation:
If there are 6 bars, that weigh 5.87 ounces each, then multiply the 2 values:
6 bars x 5.87 ounces = 35.22 ounces.
If you feel like this helped you, feel free to give me Brainliest! :)
Find the G.C.D. of the following:
(a) 30, 45, 75
Answer:
15
Step-by-step explanation:
We can start by trying to figure out the divisors for each number. A divisor is a whole number that we can multiply by another whole number to equal our target number.
For example, 2's divisors would be 2 and 1, because we can multiply 2 and 1 together to get 2.
30's divisors would be: 1, 30, 2, 15, 3, 10 4, 5, 6
45's divisors would be: 1, 45, 3, 15, 5, 9
75's divisors would be: 1, 75, 3, 25, 5, 15
We should start with 30's divisors because we're searching for a greatest common divisor, so we have to make sure that divisor still fits into the smallest number. Additionally, we should go from biggest to smallest because by eliminating the highest possibilities first, we can ensure that our answer will be the biggest possible one without having to check every single one.
30's biggest divisor is 30, but neither 45 nor 75 have it. 30's next biggest divisor is 15, and that is a common divisor between 45 and 75. Since we worked from the biggest to the smallest, we also know that it is the highest possible common divisor.
That means the G.C.D. of 30, 45, and 75 is 15.
1. Alex decided to look at new and used SUVs. He found a used SUV for $24,000. if a new SUV is $32,000, what percent of the price of a new
SUV does Alex pay for a used SUV
Answer:
25%
Step-by-step explanation:
used SUV = $24000
new SUV = $32000
find the differences between the new SUV and the used SUV.
$32000 - $24000 = $8000
take the difference price and divide by original price ( $32000 ), multiply with 100
8000/32000 x 100
=25%
Please help ill vote you brainliest. [tex]-2 ^-3[/tex]
Answer:
Ok.
Your answer is -1/8
Have a nice day!
Step-by-step explanation:
I believe the answer is - 1/8
The graph to the right is the uniform probability density function for a friend who is x minutes late.
(a) Find the probability that the friend is between 10 and 20 minutes late.
(b) It is 10 A.M. There is a 30% probability the friend will arrive within how many minutes?
Using the uniform distribution, it is found that:
a) There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.
b) Within 9 minutes.
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Researching the problem on the internet, it is found that the variable is uniform with a = 0 and b = 30.
Item a:
[tex]P(10 \leq X \leq 20) = \frac{20 - 10}{30 - 0} = 0.3333[/tex]
There is a 0.3333 = 33.33% probability that the friend is between 10 and 20 minutes late.
Item b:
This is x for which P(X < x) = 0.3, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.3 = \frac{x}{30}[/tex]
[tex]x = 9[/tex]
Within 9 minutes.
To learn more about the uniform distribution, you can check https://brainly.com/question/13889040
Which statement(s) are true? multiple choice question
Step-by-step explanation:
the more likely an event the closer it is to being certain
the more unlikely an event the closer it is to being impossible
In the expression below, a is an integer.
12x2 + ax - 20
If 3x + 4 is a factor of the expression above, what is
the value of a ?
Answer:a=1
Step-by-step explanation:
If x > 0 and y > 0, where is the point (x, y) located?
Answer:
Quadrant I, see both images below...
Step-by-step explanation:
Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form.
Answer:
y = -1/2x +5/2
Step-by-step explanation:
The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.
__
The slope of the line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (18 -12)/(5 -2) = 6/3 = 2
The slope of the perpendicular line is the opposite reciprocal of this:
m' = -1/m = -1/2
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line we want can be described by the equation ...
y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)
__
Rearranging to slope-intercept form, we find ...
y = -1/2x +3/2 +1
y = -1/2x +5/2
_____
Additional comment
The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...
x +2y = 5
Solving for y gives the slope-intercept equation:
2y = -x +5 . . . . . . . . subtract x
y = -1/2x +5/2 . . . . . divide by 2
Jen was making cake pops for the bake sale. After 3 hours, she had completed half of the work. She called Maryna for help and together they finished everything in half an hour. How long would it take Maryna to finish the job alone if she replaced Jen after Jen baked for 3 hours?
Answer:
Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6
Step-by-step explanation:
It says, " After 3 hours, she had completed half of the work" it means it would take all together Jen 6 hours to do the entire job.
It says, " together they finished everything in half an hour", so that means Jen does an a little bit more work, [1/2 / 6] or 1/12 for the entire job , and Maryna does 5/12 of the whole job in 1/2 hr.
Then, the equation would have been (5/12) / (1/2) = (6/12) / t, and the time for Maryna to finish on her own portion she would be doing 6/12 (half) of the whole job.
So therefore Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6 :)
Hope this helped : )
Each line of a computer printout contains 72 characters. A: how many characters can print in a 75-line report? B:The computer printer can print 135 characters each second. How long will it take to print this report.
5 pages X 60 minutes = 300 pages per hour
It will take 1 hour to print 300 pages on a printer that prints at 5 pages per minute. Do you have enough ink to print 300 pages?
Peter bought 3 different types of
cheese. He bought 1/4 pound of each
type of cheese. How much cheese
did Peter buy in all?
Answer:
3/4 lb
Step-by-step explanation:
You can use multiplication:
3 × 1/4 lb = 3/1 × 1/4 lb = 3/4 lb
You can also use addition:
1/4 lb + 1/4 lb + 1/4 lb = 3/4 lb
Answer:
Peter bought 3/4 lb of cheese.
Step-by-step explanation:
To find out the total amount of cheese, you have to multiply 3 types by 1/4 lb which is 3*1/4 = 3/4. I hope this helps!
Convert the following into percentage. 2.00 =
Answer:
2/100
Step-by-step explanation:
to find a percentage you times by a hundred
What expression shows 3 less than a number?
A. n + 3
B. n - 3
C. 3 - n
D. 3n
Hey there!
Remember, 3 less than a number means we subtract 3 from that number.
It's the same as "a number minus 3"
Now, let's check all 4 options and see which one's right.
The first one is
n+3
Well, that's definitely not the right option, because it says "a number plus 3"
Is it Option B? Yeah!
Because n-3 is the same thing as "a number minus 3"
Is it Option C? Nope!
Because 3-n is the opposite of "a number minus 3"
Is it Option D? no.
Because 3n means "3 times a number"
Hence, the right expression is
[tex]\boxed{\boxed{\bold{n-3}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
what is the acceleration of a baseball when its speed increases from 1 m/sec to 25 m/sec in 1 second?
Answer:
24 m/s²
Step-by-step explanation:
Acceleration is change in velocity over time.
a = Δv / Δt
a = (25 m/s − 1 m/s) / 1 s
a = 24 m/s²
A video store took in $450 in DVD rentals during one day. If DVDs rent for $9 each, how many DVDs were rented.
Answer:
50
Step-by-step explanation:
This is because if each DVD costs $9 and the total cost was $450 then all you have to do is divide the numbers.
795 times 12 then add 6754 then divided by 7
Answer:
795 * 13 + 6754 / 7 = 2,327.71
Step-by-step explanation:
795 * 13 + 6754 / 7 = 2,327.71
Jennifer is planning a holiday. The hotel costs $130 per night and her flight costs $600. She has a budget of $2,000 for hotel and flights.
If x represents whole nights at the hotel, complete the inequality below to show how many nights Jennifer can afford. The answer must be a whole number.
Answer:
kindly house you have a good day and I will be there
Answer:
you can get one hotel
Step-by-step explanation:
Could you please answer these
Step-by-step explanation:
here u gggggggggggggggoooo
Answer:
x = 4, y = 2 or (4, 2)
Step-by-step explanation:
Given :-
2x + 3y = 14 -(1)
x + 3y = 10 -(2)
To Find :-
x and y
Solving :-
Subtract (2) from (1).
=> x = 4
Substituting value of x in Equation 2 :-
4 + 3y = 10
3y = 6
=> y = 2
Solution :-
x = 4, y = 2
Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym that
cost an additional $8 per class. At the end of January, she paid $43.50 in total. How many yoga classes
did Wanda take in January? Write and solve an equation.
Answer: She took 6 yoga classes
Step-by-step explanation: So first
Subtract
$43.50 - $19.50 = $24
Carry then Divide
$24 / 8 = 6 Classes
PLEASE MARK ME BRAINLIEST!!!
7:8:9=__:12:__ 20 characters lolololol
Answer:
21/2 : 12 : 27/2
Step-by-step explanation:
7:8:9=__:12:__
12/8 = 3/2
Multiply each term by 3/2
7*3/2 :8* 3/2 :9*3/2
21/2 : 12 : 27/2
The smaller of two consecutive even integers is five more than one half of the greater. Find the integers.
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Solvew for n.
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].
2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))
2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14