The trinomial x2 bx – c has factors of (x m)(x – n), where m, n, and b are positive. what is the relationship between the values of m and n? explain.
The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
What is trinomial?A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.
The trinomial given in the problem is,
[tex]x^2 +bx - c[/tex]
This trinomial has factors of,
[tex](x +m)(x - n),[/tex]
Where m, n, and b are positive.
If this factors multiply by each other, we get,
[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]
Compare it with the trinomial, we get,
[tex]b=(m+n)[/tex]
Which is the sum of the terms,
[tex]c=nm[/tex]
Which is the product of the terms.
Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
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A coat is discounted 40% off its regular price. Which value is equivalent to 40%
Answer:
A coat is discounted 40% off its regular price. Which value is equivalent to 40%
=2/5
How do I solve problems like these
First of all we need to find the equations of the lines :
y( red ) = - x + 2
y(blue) = 2x - 1
Then we must to put the equations equal to each other and going to to find the value of x :
[tex]- x + 2 = 2x - 1[/tex]
Add both sides x
[tex] - x + x + 2 = 2x + x - 1[/tex]
[tex]2 = 3x - 1[/tex]
Add both sides 1
[tex]2 + 1 = 3x - 1 + 1[/tex]
[tex] 3 = 3x[/tex]
Switch sides
[tex]3x = 3[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{3}{3} \\ [/tex]
[tex]x = 1[/tex]
After u the value of x , put it in one the equations to find the value of y :
[tex]y = - x + 2[/tex]
[tex]y = - (1) + 2[/tex]
[tex]y = - 1 + 2[/tex]
[tex]y = 1[/tex]
Thus the solution is ( 1 , 1 ) .
The distance from one corner of a standard piece of paper to the diagonally opposite corner is 13.9 inches. If a piece of paper is 11 inches long, how many inches wide is it?
The width of the piece of paper as described in the task content is; 8.5in.
How wide is the piece of paper?It follows from the task content that the diagonal of the rectangular piece of paper is 13.9in and the length of the piece of paper is; 11in long.
On this note, it follows from Pythagoras theorem that the width of the piece of paper is;
width = √(13.9² - 11²)Width = √72.21Width = 8.5in
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Bryce left a 20% tip on a $45 dinner bill. How much was the tip?
Answer:
$9
Step-by-step explanation:
divide the value by thr total value then multiply by 100. formula=(value/total value)x100
50 POINTS PLEASE HELP Layla has a bag that contains orange chews, lemon chews, and lime chews. She performs an experiment. Layla randomly removes a chew from the bag, records the result, and returns the chew to the bag. Layla performs the experiment 71 times. The results are shown below:
A orange chew was selected 11 times.
A lemon chew was selected 18 times.
A lime chew was selected 42 times.
If the experiment is repeated 100 more times, about how many times would you expect Layla to remove a lemon chew from the bag? Round your answer to the nearest whole number.
Answer:Orange 11/71 , lemon 18/71 , lime 42/71
2. Answer is 25
Step-by-step explanation: The answers above correlate with an independent situation where Leyland always replaced the fruits.
Orange :lemon;lime is 11:18:42
In 100 Selections, lemon will be 18/71×100/1 =25.35
Answer:
25
Step-by-step explanation:
5x-3y=-2, -x+2y=-8
Solve by elimination method
Use the Distributive Property to simplify the expression 3(3x−5)
3(3x−5)
(3 times 3x)(3 times -5)
9x-15
Since you don't know what x is, you can't simplify it any more than this.
Hey there!
Use the Distributive Property to simplify the expression 3(3x - 5) :
Answer :9x - 15 ✅
Explanations :- Distributive Property :
A(B - C) = AB - BC
- Given expression :
3(3x - 5)
A = 3B = 3xC = 5>> Distribute the 3 to the 3x and to the 5 :
3(3x - 5)
= 3*3x - 3*5
Therefore, your answer is 9x - 15 .
Have a good day ;)
Which transformation "turns" a figure around a point?
Translation
Dilation
Reflection
Rotation
Answer:
Rotation
Step-by-step explanation:
Rotation is where you rotate a figure about a point on a graph. Reflection would essentially mirror a figure across and axis, translation would move a figure, and dilation woukd change the size of the figure.
Charlotte is running at a rate of 23 /h. What is Charlotte’s speed in /s?
Answer:
0.00638
Step-by-step explanation:
Use some dimensional analysis. There are 60 minutes in 1 hour, and 60 seconds in 1 minute:
[tex] \frac{23}{1} \frac{units}{hour} \times \frac{1}{60} \frac{hour}{minutes} \times \frac{1}{60} \frac{minute}{seconds} [/tex]
The units of hour will cancel, minutes will cancel, leaving the units of seconds:
[tex] \frac{23}{60\times 60} \frac{units}{seconds} = 0.00638 \frac{units}{second} [/tex]
Amanda uses her Credit card to purchase $75 of materials Amanda pays her credit card off each month
The remaining balance that Amanda will pay when the credit card is used to pay $75 from the total amount is $125.
How to compute the amount?Your information is incomplete. Therefore, an overview will be given. Let's assume that the total purchase made by Amanda is $200.
In this case, she uses her credit card to make payment for $75. Therefore to know the remaining balance, you'll subtract $75 from the total purchase. This will be:
= $200 - $75
= $125
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Please help, asap, 50 points!
Answer:
k = 30/1
The constant of proportionality is 30:1. If we divided the number of area to be covered and the number of scoops, we will always get 30. 60/2 is 30, 120/4 is 30. 180/6 and 240/8 all equal 30.
Step-by-step explanation:
6,500 dollars is placed in a savings account with an annual interest rate of 4%. If no money is added or removed from the account, which equation represents how much will be in the account after 2 years?
The equation represents how much will be in the account after 2 years will be A = $6,500 + ($6,500 x 4 x 2)/100.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
I = (PRT)/100
6,500 dollars is placed in a savings account with an annual interest rate of 4%.
Then the amount after 2 years is calculated as,
A = P + I
A = P + PRT / 100
A = $6,500 + ($6,500 x 4 x 2)/100
Thus, the equation will be A = $6,500 + ($6,500 x 4 x 2)/100.
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A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh? a. 5.10 oz b. 11.49 oz c. 32.92 oz d. 53.90 oz
A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.
How many inches in one centimeter?A centimeter is a unit to measure a length in the metric system. One centimeter is equal to 0.39 inches.
It is given that
3.25 cm length of rope weighs 61.40 grams.
There are 28.3495 grams in an ounce.
There are 2.54 centimeters in an inch.
a = b
c = x
So x = cb / a
If there are 2.54 centimeters in 1 inch,
centimeters= 19.45 × 2.54/ 1 inch
centimeters= 49.403
Now, if 3.25 centimeters long weighs 61.40 grams, then
grams= 49.403 × 61.40 / 3.25 centimeters
grams= 933.34
Finally, if there are 28.3495 grams in 1 ounce,
ounces= 933.34 × 1 ounce / 28.3495 grams
ounces= 32.92
Thus, A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.
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What is 1.625 rounded to the nearest tenth.
Answer:
1.6
Step-by-step explanation
2 is les than 5 so you round down
Someone help me please
What is the value of this expression when
d= 47 and f = 3?
6 (d - f) +f
Answer:
267
Step-by-step explanation:
We are given the expression: 6 (d - f) +f
The value of the expression when d= 47 and f = 3 is :
6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267
=267
camden is on a charter bus that has traveled 111 miles in 2 1/2 hours at this rate how many miles will the bus travel in the next 1/2 hour
There is a pic the answers are not in in please solve if you could include work that would be ideal
Answer:
400 is the required answer
correct answer is 405.125
Step-by-step explanation:
If u want complete solution do mention in the comment
Find an expression for the area of each shade region,write your answer in standard form
Answer:
8x+24
Step-by-step explanation:
(x+5)²-(x+1)²
x²+10x+25-(x²+2x+1)
x²+10x+25-x²-2x-1
8x+24
Hence the required equation is 8x+24 or 8(x+3)
question #10. The question is in the picture. I'd like a bit of help, please. I will give 15 points to whoever can help out.
What is the answer to the question 3m-8n/13
Answer:
the answer to the question is 3m8n = 13
Use a calculator to solve each problem. Round your answers to the nearest hundredth.
What is the absolute magnitude of a star that has a period of 62 days?
Answer:-6.33
Step-by-step explanation:
its correct, i did it on a test
A newspaper printer can print 15,000 newspapers in 4 hours. At the same rate, how many newspapers can they print in 24 hours?
Answer: its gonna be 90k (90,000)
Step-by-step explanation: 4 hrs = 15k meaning if u add 4 + 4 its basically gonna be 15k + 15k. so in 24 hr its gonna be 90k because 4 + 4 + 4 +4 + 4 = 24 so if 4 is 15k then it would also be 15k + 15k + 15k +15k +15k and thats 90k.
i took the test. and give brainliest pls
What is the equation of the line that is parallel to the line y − 1 = 4(x 3) and passes through the point (4, 32)? y = –one-fourthx 33 y = –one-fourthx 36 y = 4x − 16 y = 4x 16
The equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be y = 4x + 16. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the line is given below.
y − 1 = 4(x + 3)
The equation can be written as
y = 4x + 13
Then the equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be
The slope of the parallel lines will be the same
Slope = 4
Then
y = 4x + c
The line is passing through (4, 32)
32 = 4(4) + c
32 = 16 + c
c = 16
The equation of a parallel line is y = 4x + 16
More about the linear system link is given below.
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Answer:it’s d
Step-by-step explanation: y=2/5x+5
Math help!!!!!!!!!!!111
Answer:
it would be 3 8/10
Step-by-step explanation:
you have to find a common multiple and it would be 10 thin you add them up 7/10+1/10=8/10 plus you have to put the 3 with the 8/10
Mid School.
Why don't students want their name written up by their teacher, when they in trouble?
Answer:
Students will usually not want their name written because they believe it is humiliating.
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y−3x=15
__________________________________________________________
Hello! In this question, we will be changing our given equation to turn it into slope-intercept form.
__________________________________________________________
Explanation:
We are given the following equation:
3y − 3x = 15
Our goal is to turn the equation into slope-intercept form, which is:
y = mx + b
Let us rearrange the equation and simplify it:
3y − 3x = 15
Add 3x to both sides, which would cancel the 3x on the left.
3y = 3x + 15
Now, divide everything by 3 to get the "y" variable by itself.
y = x + 5
Therefore, your simplified equation in slope-intercept form would be:
y = x + 5
__________________________________________________________
Answer:
y = x + 5
__________________________________________________________
Part I: Reviewing the slope intercept form equation
Given equation:
3y - 3x = 15Slope intercept form: y = mx + b
[Where "m" is the slope and "b" is the y-intercept]
Part II: Isolating "y" and it's cooeficient on one side of the equation
In the slope intercept form equation, we can see that the "y" variable is completely isolated on one side of the equation. Therefore,
⇒ 3y - 3x = 15⇒ 3y - 3x + 3x = 15 + 3x⇒ 3y = 3x + 15Part III: Isolating "y" from it's cooeficient
The "y" variable in the slope intercept form has no cooeficient. Therefore, we need to isolate the cooeficient of "y" in our equation ( 3y = 3x + 15 ). This can be done by dividing 3 both sides or multiplying 1/3 both sides.
⇒ 3y/3 = (3x + 15)/3⇒ y = (3x + 15)/3Part IV: Simplify the other side of the equation
Finally, simplify the other side to obtain our equation in slope intercept form.
⇒ y = 3x/3 + 15/3⇒ y = x + 5Therefore, the equation in slope intercept form is y = x + 5.
Tell whether the relation is a function. Explain your reasoning
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
Answer:
no, since the numbers are mixed up both negative and positive
Answer:
relation is a function
Step-by-step explanation:
For the relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.
This is the case here so the relation is a function
Find the surface area of each solid.
Answer:
232 in^2
Step-by-step explanation:
80 + 80 + 20 + 20 + 16 + 16 = 232
Check previous answer for better explanation!