Answer:
(m - n ) = b
mn = c
The relationship between m and n is such that their product is c and their difference is b
Step-by-step explanation:
roots are x = -m and x = n
-m = -b/2 - root(b*b + 4c)/2
n = -b/2 + root(b*b + 4c)/2
(x + m)(x -n) = x*x +(m - n)x - mn
(m - n ) = b
mn = c
Sample Answer: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.
its right ur welcome
What is the solution to 2x2+8x=x2-16?
O x=4
O x=-2
O x=2
O x=4
Answer:
x=-4
Step-by-step explanation:
A on edg
The solution to the quadratic equation is x = -4
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
2x² + 8x = x² - 16
Subtracting x² on both sides , we get
x² + 8x = -16
Adding 16 on both sides , we get
x² + 8x + 16 = 0
On simplifying the equation , we get
( x + 4 )² = 0
Taking square roots on both sides , we get
x + 4 = 0
Subtracting 4 on both sides , we get
x = -4
Therefore , the value of x is -4
Hence , the solution is x = -4
To learn more about quadratic equations click :
https://brainly.com/question/25652857
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Tyler went to an electronics store with a gift card. After he spent 13/20 of the gift card's value on a video game, the card's value was less than $26.25. Which inequality describes x, the value of the gift card when Tyler entered the store?
Answer:
[tex]\frac{7}{20}x < 26.25[/tex]
Step-by-step explanation:
If $x is the value of the gift card when Tyler entered the store, then after spending [tex]\frac{13}{20}[/tex] of the gift card the card's value was less than $26.25.
So, we can write the inequality as
[tex]x - \frac{13}{20}x < 26.25[/tex]
⇒ [tex]\frac{7}{20}x < 26.25[/tex]
So, this is the required inequality that describes x, the value of the gift card when Tyler entered the store. (Answer)
Brent biked 800 meters on Friday. On Saturday, he biked 3 kilometers. On Sunday, he biked 2 kilometers, 600 meters. How many kilometers did Brent bike over the three days
Answer:
333
Step-by-step explanation:
A jar pinto beans and black beans in a ratio of 1: 1, and 300 of the beans are pinto beans. How many beans in total are there in the jar?
Answer:
600 beans
Step-by-step explanation:
If there are 300 pinto beans and the ratio is 1:1 there would have to be 300 black beans making 600 total.
c3 if c = 2 need help
Answer:
6
Step-by-step explanation:
If c is 2 then that means you would multiply 2 and 3 to get 6
Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.
Answer:
5n
The coefficient is 5
Step-by-step explanation:
For day 1; he fill 5 cups
For day 2; he fill 5 + 5 cups
For day 3; he fill 5 + 5 + 5 cups
For day 4; he fill 5 + 5 + 5 + 5 cups
For day n; ?
The sequence is 5, 10, 15, 20, ...
The sequence increases linearly.
a = 5, d = 5, n = ?
Using the Formula for nth term of a sequence, we have:
[tex]T_{n} = a + (n - 1)d\\T_{n} = 5 + (n - 1) 5\\T_{n} = 5 + 5n -5\\T_{n} = 5 - 5 + 5n\\T_{n} = 5n[/tex]
The question is not complete. Here is the complete question:-
Michael started by filling up 12 cups. Each day he will fill 5 cups more. Write an algebraic expression to represent the number of cups he will have after n days. Identify the coefficient.
Answer:
The algebraic expression is :
y = 12 + 5n
The coefficient is 5
Step-by-step explanation:
Please kindly check the attached files for explanation
Juan has $2,224.52 in his checking account that charges a $23 per check overdraft
protection fee. In the next 4 days, the following checks arrived from payment in the
following order: check 129 for $1,520.00, check 126 for $750.89, and check 127 for $185.00.
How much does Juan have in his account?
Answer: good luck
Step-by-step explanation:
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 140 feet. How long will it take to move from one end to the other?
Answer:
The answer is : 20 seconds
Step-by-step explanation:
First, we are told that it takes the person 8 seconds to travel 56 feet, hence, we will find the time it takes to travel one foot.
56 feet = 8 seconds
∴ 1 foot = 8/56 seconds
Next, we are told that the length of the sidewalk is 140 feet, therefore walking from one end of the sidewalk to the other is the the same as walking 140 feet, and this is calculated thus:
1 foot = 8/56 seconds (calculated above)
∴ 140 feet = 8/56 × 140 = 20 seconds
Solve the system of equations.
y = 1/2x + 3
x + y = 6
A farmer has 45 acres of land and plants 17 apple trees on each acre. How many trees in total did the farmer plant?
765 trees
775 trees
865 trees
875 trees
Answer:
765
Step-by-step explanation:
17 * 45 = 765
Answer:
765
Step-by-step explanation:
If f(x)= 3x-9, fine each function value.
F(12)
Answer:
27
Step-by-step explanation:
Plug in 12 every time you see "x". When you do this it should be f(12) = 3(12) - 9 = 36 - 9 = 27.
Hope this helped :)
The function value f(12) for f(x) = 3x - 9 is calculated by substituting x with 12, resulting in f(12) = 3(12) - 9, which simplifies to f(12) = 27.
Explanation:To find the value of f(12) for the given function f(x) = 3x - 9, you simply substitute the value of 12 for x and then perform the calculation:
f(12) = 3(12) - 9
f(12) = 36 - 9
f(12) = 27
Therefore, the function value of f(12) is 27. When plotting or using a graph, this is the y-coordinate when x is 12 for the equation y = 9 + 3x, which has a slope ('m') of 3 and a y-intercept ('b') of 9.
Evelyn needs to buy a season pass to the water park that
costs $320. How much will the season pass to the water
park cost if she uses credit, pays $80 a month, and pays an
extra $6 a month in interest?
Answer:
344
Step-by-step explanation:
80*4=320
6*4=24
320+24=344
what’s the area of the trapezoid
Answer:
i will give you the steps to find out how
Step-by-step explanation:
Explanation: To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Answer:
The equation to find the area of a Trapezoid is A=h·([tex]\frac{b1+b2}{2}[/tex])
Step-by-step explanation:
Jake made these miniature golf scores: 2, 3, 2, 4, 3, 3, 3, 4, 2, 3, 4, 2, 4, 4, 9, 3, 4, 4.
Match the measure to the corresponding value for these scores.
mode
median
range
mean
7
3.5
4
3
Answer:
Mode is 4 median is 3 range 7 mean 3.5
Step-by-step explanation:
The midpoint of AB is M(-5, -2). If the coordinates of A are (-3,4), what are
the coordinates of B?
Answer:
The coordinates of b are (-7, -8)
Step-by-step explanation:
Answer:
(-2,6)
Step-by-step explanation:
The domain is: - infinity
Answer for the first blank = infinity
Answer for the second blank = 9000
===================================================
Explanation:
Note how the graph goes on forever in both left and right directions. So x extends forever in both directions. This means any x can be an input to the function. The domain is -infinity < x < infinity. Basically, the domain is the set of all real numbers.
The range is -infinity < y <= 9000 since there is no smallest y value, but the largest y can be is y = 9000. Look at the highest point of the parabola and note the y coordinate of this point. This highest point is called the vertex.
A set of 3 consecutive integers adds up to 42. What are the integers?
Answer:
Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
Step-by-step explanation:
Simplify the expression.
9(-10-4v)+9v
Answer: -90-27v
Step-by-step explanation:
N A
Answer:
-90-27v
Step-by-step explanation:
9(-10-4v)+9v
-90 - 36v + 9v
-90 - 27v
mr webb gave his waiter a $5.60 tip on a $40 bill. what percent tip did he give the waiter?
Answer:
14%
Step-by-step explanation:
5.60 / 40 = 0.14
0.14 x 100 = 14
Mr. Webb left a 14% tip.
Answer:
14%.
Step-by-step explanation:
You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%
Consider Jasper’s balance sheet. Which shows how to calculate Jasper’s net worth? $4,400 - $15,800 = -$11,340 $15,800 + $4,400 = $20,260 $15,800 - $4,400 = $11,400 $20,260 - $15,800 = $4,400
Answer:
15,800-4,400
Step-by-step explanation:
Add the assets column which equals to 15,800, then add the liability column which adds up to be 4,400 :)
Answer:$15,800 - $4,400 = $11,400
Step-by-step explanation:
yes
1. Approximate the length of the hypotenuse to
the nearest tenth using a calculator.
Answer:
What is the answer?
Step-by-step explanation:
Giving brainlest to the first right answer
If the area of a pentagonal pyramid has a 440. 4 mm2 base area, 16 mm. pentagon side
length, and 20 mm. slant height, then determine the surface area of the pyramid.
Answer:
Sorry man I could answer it I could find the step
But I hope you have good look on this!
But if You are using trygonometry here
a , 4
m 3 , 16
m 2, 20
m 2
Answer:
it's a 4 m 3,16 m 2,20 and m 2
mm, 3,2,
Step-by-step explanation:
i got it right
The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?
Answer: 4.22
Step-by-step explanation:
Choose the correct box plot for the data set below . 32 , 39 , 46 , 50 , 57 , 62 , 66.
Answer:
C
Step-by-step explanation:
The median is 50, the lower quartile is 39, and the upper quartile is 62.
Answer:
c
Step-by-step explanation:
Solve for x :
6x=36
Answer:
6
Step-by-step explanation:
6 multiplied by 6 is 36.
Answer:
6
Step-by-step explanation:
When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.
6x=36
Divide both sides by 6
x=6
hope that helped.
Find the value and expression for 0
Sin(0) = cos(28)
Answer:
The value of 0 is 62
The expression of 0 is 0 = arcsin (cos (28))
Step-by-step explanation:
Sin(0) = cos(28)
The value of 0 is 90 - 28 = 62 degrees.
The expression of 0 is derived from algebraically solving for 0
0 = arcsin (cos (28))
Which of the following questions are true statements about the expression 6+(-6)
Frederick made a quilt for his cousin's doll. The quilt had a 7 × 7 array of different color square patches. If each patch is 3 1 2 in long, what is the area of the whole quilt?
Answer:
Step-by-step explanation:
Given that, .
Frederick make 7 × 7 quilt array
This shows that there are seven rows and there are seven columns.
So, the total quilt is
7 × 7 = 49 squares patches
We are told that each of this square patches are 3½ in long
Then, since it is a square patch, it's area is
A = S² = 3½ × 3½ = 12¼ in²
So, each square patch has an area of 12¼in²,
Then, for 49 square patches
The total area of 49 Square patches is
A = 49 × 12¼ = 600.25 in²
So, the area of the whole quilt is 600.25 in²
Answer:
The area of the whole quilt is 600.25 ft²
Step-by-step explanation:
Here we have the length of each patch given as [tex]3\frac{1}{2} in[/tex]
Therefore, whereby the quilt had 7 × 7 array of different color square patches, we have;
Length of each side of quilt = [tex]7 \times 3\frac{1}{2} = 7 \times \frac{7}{2} = \frac{49}{2} = 24\frac{1}{2}[/tex]
∴ Area of the whole quilt = [tex]24\frac{1}{2} \times 24\frac{1}{2} = \frac{2401}{4} = 600\frac{1}{4} \ ft^2[/tex]
The area of the whole quilt = 600.25 ft².
What is the risk of going into a group of more than 20 or more people at this time from coronavirus?
Answer:
Even if a person doesn't show symptoms, they can still have it.
Step-by-step explanation:
That's the problem.
Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.
Answer:
Getting infected
Step-by-step explanation:
The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approximately what percent of the students are between 14 and 18 years old?
We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.
We are asked to find the percentage of students that are between 14 and 18 years old.
First of all, we will find z-score corresponding to 14 and 18 using z-score formula.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{14-15}{2}[/tex]
[tex]z=\frac{-1}{2}[/tex]
[tex]z=-0.5[/tex]
Similarly, we will find the z-score corresponding to 18.
[tex]z=\frac{18-15}{2}[/tex]
[tex]z=\frac{3}{2}[/tex]
[tex]z=1.5[/tex]
Now we will find the probability of getting a z-score between [tex]-0.5[/tex] and [tex]1.5[/tex] that is [tex]P(-0.5<z<1.5)[/tex].
[tex]P(-0.5<z<1.5)=P(z<1.5)-P(z<-0.5)[/tex]
Using normal distribution table, we will get:
[tex]P(-0.5<z<1.5)=0.93319-0.30854[/tex]
[tex]P(-0.5<z<1.5)=0.62465[/tex]
Let us convert [tex]0.62465[/tex] into percentage.
[tex]0.62465\times 100\%=62.465\%\approx 62.5\%[/tex]
Therefore, approximately [tex]62.5\%[/tex] of the students are between 14 and 18 years old.
Answer:
62.47%
Step-by-step explanation: