Answer:
D
Step-by-step explanation:
Polynomials are always closed with addition, subtraction, and multiplication. Division cannot be used to close a polynomial because when you divide two polynomials, its not going to come out as polynomial. All the other operations after completed will create another polynomial.
Best of Luck!
Given the quadratic equation ² + + = 0 where , , are real numbers and ≠ 0, which of the following is the sum of its roots? *
A.) a
B.) c
C.) -b/a
D.) c/a
Answer:
Here is a more clearer version of the same question ;
29 1.2. Constructing Direct Proofs 1. Let a, b, and c be real numbers with a 0. The solutions of the quadratic equation ax 2 + bx + c = 0 are given by the quadratic formula, which states that the solutions are xi and x2. where and x2 2a 2a (a) Prove that the sum of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to -b/a . (b) Prove that the product of the two solutions of the quadratic equation ax2 + bx + c = 0 is equal to c/a.
The proving of both a) and b) has been done
Step-by-step explanation:
The step by step explanation has been given in the attachment below.
Step-by-step explanation:
whats the value of x if x2=10
Answer:5
Step-by-step explanation:
2x=10
10÷2= 5
x=5
Answer:
X = 5
Step-by-step explanation:
2x means x plus itself. if x + x is 10, what number fits that description?
5!
2.5 = 10, so X = 5
Janet bought same bars of choclate to share equally with her friends. she bought between 35 and 50 bars altogether. if she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over. If she shares the bars equally with 6 friends she will have 5 bars left over. How many bars of chocolate did she buy?
a.47
b.45
c.46
d.48
For the conditions to be fulfilled number of chocolate bars Janet bought is 35.
What is an equation?An equation is a statement in form of numbers and variables that both sides are equal.
Janet bought the same bars of chocolate to share equally with her friends and it is between 36 and 50.
There are two possible cases,
Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'A'.
(i) If she shares the bars of chocolate equally with 7 friends, she will have 7 bars left over,
∴ N = 7A + 7...(i).
(ii) If she shares the bars equally with 6 friends she will have 5 bars left over,
Let the number of chocolates be 'N' and no. of chocolates each friend gets be 'B'.
∴ N = 6B + 5...(ii)
Now, we have to equate these two equations,
7A + 7 = 6B + 5.
7A = 6B - 2.
A = (6B - 2)/7.
From here we have to find such integer value of B which also makes the value of A an integer and also when we put the values of either A or B in our equations it should lie between 35 and 50.
So,
A = (6B - 2)/7.
When B = 5 then A = 4. Or when B = 12 the A = 10.
But the B = 12 and A = 10 is inadmissible.
Now, we'll put the value of A or B in eqn (i) or (ii).
Which results in N = 35.
So, the number of chocolate bars she bought is 35.
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what is the answer to 8(4h+5)
Answer:
32h+40
Step-by-step explanation:
8*4h=32h
8*5=40
Sheila is going to the arcade with only 15 dollars to spend. The cost of each game is 75 cents and the price of admission into the arcade is 5 dollars. Which inequality can be used to solve for g, the number of games that she can play, and what is the maximum number of games she can play?
A - 5g + 0.75 <_ 15, 13 games
B - 0.75g + 5 <_ 15, 14 games
C - 0.75g + 5 <_ 15, 13 games
D - 5g + 0.75 <_ 15, 14 games
Answer:
C
Step-by-step explanation:
It is 75 cents a game plus 5 dollars admission. You should automatically subtract 5 dollars for admissions. That would give you ten dollars. You would just multiply how many games by how much they cost.
(You can also find the number of games first, and then solve the two inequalities that match that number backwards)
Hope this helps :)
Charmaine cutaway 3.65 meters of rope. Before that, she had 9 meters of rope. How much rope does Charmaine have left?
Answer:
5.35
Step-by-step explanation:
9-3.65=5.35
The results of a recent survey indicate that the average new car costs $23,000 with a standard deviation on $3,500. The prices of the car are normally distributed. a. If someone buys a car for $32,000, what proportion of cars cost an equal amount or more than this? b. If someone buys a car for $16,000, what proportion of cars cost an equal amount or more than this?
Answer:
(a) 0.0051
(b) 0.9773
Step-by-step explanation:
Let X = prices of the car.
It is provided that [tex]X\sim N(23,000, 3,500^{2})[/tex].
(a)
Compute the value of P (X ≥ 32000) as follows:
[tex]P(X\geq 32000)=P(\frac{X-\mu}{\sigma}>\frac{32000-23000}{3500})[/tex]
[tex]=P(Z>2.57)\\=1-P(Z<2.57)\\=1-0.99492\\=0.00508\\\approx 0.0051[/tex]
Thus, the proportion of cars cost an equal amount or more than $32,000 is 0.0051.
(b)
Compute the value of P (X ≥ 16000) as follows:
[tex]P(X\geq 16000)=P(\frac{X-\mu}{\sigma}>\frac{16000-23000}{3500})[/tex]
[tex]=P(Z>-2)\\=P(Z<2)\\=0.97725\\\approx 0.9773[/tex]
Thus, the proportion of cars cost an equal amount or more than $16,000 is 0.9773.
write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-6,2);m=7
Does Kerri's dot plot match the data in the tally
table? Yes or no?
Use kerri’s for plot to complete these statements
___classmates spent 3 hours at the park
___Classmates spent 4 hours at the park
___Classmates spent 5 hours at the park
____Classmates spent 6 hours at the park
Answer:
the answer is none
Step-by-step explanation:
because as you can see the dots dosent match the tally's on the chart
five less than the qouicent of number of a number and 3 is -7
Sorry. Had to redo this with the correct answer.
Here it is...
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x = - 2/5 (fraction)
Decimal Form:
x = - 0.4 (decimal)
WILL GIVE BRAINLIEST
The image of the point (7, -2) under a reflection across the x axis is (-7,2) true or false
Answer:
no it is(7,2)
Step-by-step explanation:
whats the property for x ⋅ 4y = 4x ⋅ y
−3 1/3÷9
I need help!!!
Answer:
- 10/27
Step-by-step explanation:
Answer:
-10/27
Step-by-step explanation:
-3 1/3 divided by 9 = -10/3 divided by 9/1= -10/27
what..................
Answer:ni
Step-by-step explanation:
A baby can crawl at a speed of 10 feet per minute. About how many feet per hour is this?
Answer: 600 feet per hour
Because there are 60 minutes in an hour and 10 times 60 is 600
i need help fast can y’all pls help!thanks
Answer:
1 and 3 = 84
Step-by-step explanation:
the lines are parelle meaning you will get the same agles
we know that all the even angles are equal to 96 degrees
we need to do 180- 96= 84
so know we know that 84 equalls all the odd numbers
which number is a perfect square
7
25
66
27
Answer:
The answer is 27 your welcome
Step-by-step explanation:
The area of a square is 77 square feet.
What is the approximate length of each
side of the square?
SIDE LENGTH=?FEET
PLEASE HELPPPP
100 Points
Answer:
8.8 cm , but not sure.....
Thank you ☺️
Please help! Explain step by step pls :)
(The question is on the image that i attached)
Answer:
3
Step-by-step explanation:
6(-8)/-12 -1
Multiply.
-48/-12=4
Divide.
4-1=3
Subtract.
Answer:
3
Step-by-step explanation:
6(-8)/-12 -1
Now, multiply
-48/-12=4
Now, divide.
4-1=3
and your last step should be subtracting.
Lester started the day with $12 in his pocket he is saving for the new mop with the snazzy Pinstripes on Amazon Prime he works a job making $8 an hour the moped cost $268 write the equation that represents how many days letter needs to work to have $268
Answer:
32h (1 day and 8h )
Step-by-step explanation:
268-12=256
256:8= 32
32h
Answer:
8x+12= 268
Step-by-step explanation:
We know that Lester already has $12, so that would be: +12
Since he works for $8 an hour, x will represent each hour: 8x
*x will determine the number of hours, if you want days, then divide the amount of hours by 24.
WILL MARK BRAINLIEST PLZ ANSWER FAST GUYS AND GIRLS I AM CRYING. Don't mind the second question. You can answer it if you want that will help me.
Answer:
1. 10d + 5n = 85
2. idk how to attach stuff
3. 17 nickels
4. 8.5 thats weird tho since its not possible to get 85 with using only dimes you would have to use 8 dimes and 1 nickel but its doesn't ask for that so 8.5 ig
Step-by-step explanation:
5n = 85
5*17 = 85
10d = 85
10*8.5 = 85
After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza? *
1 point
8 guests
26 guests
28 guests
33 guests
Answer:
26 guests
Step-by-step explanation:
-3 belongs to the set of
Answer: integers
Step-by-step explanation:
2. Findf(g(x))andg( f(x)).
f(x) = 102; 9(1) = 1 + 3
Answer:
9=4
Step-by-step explanation:
9(1)= 1+3
9(1)=9
1+3=4
9:4
anyone need help asap
Answer:
x = -3
Step-by-step explanation:
x + 2/x = 4/3 - 1 (collect like terms)
The rest of the steps are in the screenshot.
Hayley and Maxwell are jogging on a track. Hayley jogs 3/4 mile in 1/6 hour. Maxwell jogs 2/3 mile in 2/15 hour. Who is faster?
Maxwell runs faster than Hayley
In order to determine who runs faster, the average speed has to be determined
Average speed is total distance travelled divided by total time travelled.
Average speed = Total distance / Total time
Hayley's average speed = [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{6}[/tex]
= [tex]\frac{3}{4}[/tex] x 6 = [tex]\frac{9}{2} = 4\frac{1}{2}[/tex] miles / hour
Maxwell's average speed = [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{2}{15}[/tex]
[tex]\frac{2}{3}[/tex] x [tex]\frac{15}{2}[/tex] = 5 miles / hour
Maxwell runs faster because he has a higher average speed when compared with Hayley
A similar question was solved here: https://brainly.com/question/7381435?referrer=searchResults
PO
Question 1
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answer:
C=5+0.25m
Step-by-step explanation:
what is bigger 3.14 or 3.1 repeating
Answer:
3.14
Step-by-step explanation:
compare 3.4 to 3.111111111111111111...
4 is bigger than 1
3.14 is bigger than 3.1 repeating.
The number 3.1 repeating (or 3.1 with an infinite number of decimal places of 1) is equivalent to the mathematical concept of the number 3.1111..., where the digit 1 repeats indefinitely.
When comparing 3.14 and 3.1 repeating, we can consider the decimal places:
3.14 has a hundredth place digit of 4, which is greater than the repeating decimal of 3.1, where the hundredth place digit is 1.
Therefore, 3.14 is bigger than 3.1 repeating.
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Determine the value of y, if x is -2.
y= | x |– 9
Answer:
Answer:
y = -7
Step-by-step explanation:
b
It takes 4 workers 6 days to build a shed.
How many sheds could 2
of the workers make in 36
days, if all of the workers
work at the same rate?