Answer:
Yes, the binomial is a factor of the polynomial function.
Step-by-step explanation:
Consider the given polynomial.
Factor out the common term [tex]x^2[/tex] from the first two terms and [tex]-25[/tex] from the last two terms.
[tex]x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)[/tex]
Factor out the polynomial.
[tex]x^2(x+3)-25(x+3)=(x+3)(x^2-25)[/tex]
Further, simplify.
[tex](x+3)(x^2-25)=(x+3)(x+5)(x-5)[/tex]
Therefore, [tex]x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)[/tex]
A binomial factor is simply a factor with two terms, like (x - a).
Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).
Answer:
Yes No
Yes(x+3) No (x−1)
Yes – (x−5)
Yes – (x+5) No – (x−3)
Step-by-step explanation:
Hello future k12/brainly users
pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.
Add the expression
2x + 6 and 6x−1
Answer:
8x + 5
Step-by-step explanation:
You add like terms:
2x + 6x = 8x.
6 + (-1) = 5
Adding them up, you get:
8x + 5
4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?
Answer:
14400 gallons of gas
Step-by-step explanation:
5. $115 coat; 9.5% tax
Answer:
The total would be 125.93.
help MEEEEEE PLEASEEEEEEE
Answer:
4 1/3 hours
Step-by-step explanation:
Since he will have completed 7 hours AFTER 2 2/3 more hours, he has completed 7- 2 2/3 = 4 1/3 hours so far
An arts academy requires there to be 3 teachers for every 57 students and 5 tutors for every 55 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 99 students?
Answer:
15
Step-by-step explanation:
Answer:
9 tutors would be needed
Step-by-step explanation
5/55=.0909
.0909×99=9
plz help me i did it but messed up some ware plz help . 5x5=4x5+9=
Answer: 25=29
Step-by-step explanation:5x5=25
4x5+9=29
Answer:
Need brainliest
Step-by-step explanation:
Please help!! I’ll mark you as brainliest if correct
Answer:
n(n-1)/2 use this. U may check for 5
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:24 cards - 20%= 19.2
Step-by-step explanation:
Directions: Convert the following equations from standard form to slope-intercept form.
10. 6x + 2y = 10
11. x + 2y = 4
Gina Wilson (All Things Algebra" LLC], 2012-2017
12. x + y = -3
13. -2x + 3y = -6
Answer:
in order
y = -3x + 5
y = 1/2(x) + 2
y = -x - 3
y = 2/3(x) - 2
Step-by-step explanation:
slope-intercept form is y= mx + b
10. 6x + 2y = 10
2y = -6x + 10, subtract 6x from both sides
y= -3x + 5, divide both sides by 2
11. x + 2y = 4
2y = x + 4, subtract x from both sides
y = 1/2(x) + 2, divide both sides by 2
12. x + y = -3
y = -x - 3, subtract x from both sides
13. -2x + 3y = -6
3y = 2x - 6, add 2x to each side
y = 2/3(x) - 2, divide both sides by 3
5/4y + 8 = 17.50
Please Help me
Is the equation y=4x+1 proportional? *
Yes
No
Answer:
No
Step-by-step explanation:
y = 4x + 1 is not a direct variation. Direct variations have the form y = kx. So y = 4x would be a direct variation (k=4), but not y = 4x+1
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
What is the ratio of students who dance to the total number of students?
Answer:
I'm sorry I don't know the ratio but the whole number of students is 164 and dance students is 43 i hope this helps if not im sorry i tried to help
Step-by-step explanation:
Help me, save my life.
What is the decimal equivalent of 3 over 9?
a. 0 point 2 bar.
b. 0 point 3 bar.
c. 0 point 4 bar.
d.0 point 5 bar.
Answer:
the answer is b)0.3.......
Answer:
Concept: Conversions
[tex] \frac{3}{9} = \frac{1}{3} = 0.33[/tex]Give BrainlistWrite your answer with no space and any fraction with “/“
Answer:
y+3=-1/2(x-1)
Step-by-step explanation:
Point-slope form of a line is given by the equation y - b = m(x - a), where,
(a, b) = is a point on the line
m = slope of the line.
A line that is perpendicular to y = 2x - 1 will have a slope value that is the negative reciprocal of the slope of the line.
The slope of the line, y = 2x - 1, is 2.
The negative reciprocal of 2 = -½.
The slope of the line that is perpendicular to y = 2x - 1 is -½.
Thus, m = -½.
Let's find the equation of the perpendicular if it passes through the point (1, -3).
Substitute (a, b) = (1, -3), and m = -1/2 into y - b = m(x - a).
Thus:
y - (-3) = -1/2(x - 1)
y+3=-1/2(x-1)
Express each ratio as a fraction in its simplest form 6 minutes to 1 hour
Answer:
1:10
Step-by-step explanation:
1 hour is 60 minutes, so the ratio is 6:60.
To simplify, divide both sides by 6.
Thus, you get:
1:10.
PLEASE ANSWER THESE 3 QUESTIONS I WILL MARK BRAINLIEST IF ITS RIGHT..
Answer:
1. C 2. I am pretty sure it is D if not than C 3. C
Step-by-step explanation:
Find the image of A(-2, 3) after the following transformations.
Reflection over the X - axis with a translation down 3.
Answer:
A'(-2,-6)
Step-by-step explanation:
my mind i think its right
The ratio of green houses to white houses in Queens is 5 to 7. There are 63 white houses, How many green houses are there?
Does the table represent a
linear or nonlinear function?
х y
2 8
4 4
6 0
8 -4
Exchange rates help you to know ____.
when it is best to travel
how much your currency is worth in another currency
what other economies think of your money
when to exchange your money
Answer:
B
Step-by-step explanation:
how much your currency is worth in a different currency
hope this helps <3
Simple math question (Pic provided) (Algebra)
Answer:m<k+m<k=180+167-133=100
Step-by-step explanation:
last month leonardo went to the gas station 5 times to buy gas for his car the numbers of gallons he purchased were 14.071, 14.32, 14.199 and 14.1 gallons
Answer:
its 14.32
Step-by-step explanation:
because if you line all the numbers up and you look in the hundreds place 3 is the biggest number
If x = 10 and y = -5, then what is the value of 9x - 3y - 12?
Answer:
93
Explanation:
x = 10y = -59x - 3y - 12
Substitute 10 for x and -5 for y9(10) - 3(-5) - 12
= 93
The price of blackberries at a farm is $1.56 per pound. Which equation can be used to determine c, the total price of n pounds of blackberries? (10 points)
a
c = 1.56n
b
c equals 1.56 over n
c
c = 1.56 + n
d
c = 1.56 − n
Answer:
A. c = 1.56n
Step-by-step explanation:
Hope this helps!
Stealing your points like how you stole mine! +*♡
Don't answer someone's question with some nonsense and then delete it; especially when I spent over an hour on that one question. I will surely delete my answers after this and still have my 30 points...
don't reap what you sow :)
You can search that up if you don't even know what that means.
Have a nice day! +*♡
Hope this helped.
(a) Solve for x.
(b) Solve for M.
y=Mx + b
Answer:
a) [tex]x=\frac{y}{m}-\frac{b}{m}[/tex]
b) [tex]m=\frac{y}{x}-\frac{b}{x}[/tex]
Step-by-step explanation:
We are given the equation:
y = mx + b
Part A:[tex]y=mx+b\\\\mx+b=y\\\\mx+b-b=y-b\\\\mx=y-b\\\\\frac{mx=y-b}{m}\\\\\boxed {x=\frac{y}{m}-\frac{b}{m}}[/tex]
Part B:[tex]y=mx+b\\\\mx+b=y\\\\mx+b-b=y-b\\\\mx=y-b\\\\\frac{mx=y-b}{x}\\\\\boxed{m=\frac{y}{x}-\frac{b}{x}}[/tex]Hope this helps!
19. (03.02 LC)
ABCD is a rectangle. What is the value of x? (1 point)
65 meters
33 meters
9 meters
28 meters
Answer:
33
Step-by-step explanation:
Here in rt angled triangle ABC AC= 65 which is hypotenuse
so ,
65^2 = x^2 +56^2
√(65^2 -56^2)= x
x= 33
Use trigonometry to solve for x. Round to the nearest tenth.
Answer:
14.6
Step-by-step explanation:
Tangent of 39 degrees multiplied by 18 is 14.5674, or 14.6
Is -9/4 rational. Please I need this now the thing said 20 characters long so I’m just gonna type. The best answer gets brainliest ig
Answer:
no -9/4 is irrational
Step-by-step explanation:
vacsusvvsjshsvsh plz give brainliest