Answers
Answer:
D
Step-by-step explanation:
The quadratic formula is
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].
It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=2, b=16 and c=-9.
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(16)+/-\sqrt{(16)^2-4(2)(-9)} }{2(2)}\\x=\frac{-16+/-\sqrt{256+72} }{4}[/tex]
We will now simplify and solve.
[tex]x=\frac{-16+/-\sqrt{328}}{4}\\x=-4+/-\sqrt{\frac{328}{16}}\\x=-4+/-\sqrt{\frac{41*8}{2*8}}\\x=-4+/-\sqrt{\frac{41}{2}}[/tex]
Related Questions
A bookstore is having a sale in which you can get 4 notebooks for $7.00 and 10 folders for 2.50. How much will it cost Rico to buy 5 notebooks and 6 folders
Answers
Step-by-step explanation:
First, you divide the money by how many notebooks/folders you can get.
Folders: $2.50 / 10 = $0.25
Notebook: $7.00 / 4 = $1.75
Now, you just multiply the notebooks and folders.
6 folders x $0.25 = $1.50
5 notebooks x $1.75 = $8.75
$1.50 + $8.75 = $10.25
Answer: $10.25
To calculate the cost for 5 notebooks and 6 folders with given sale prices, first find the unit price of each item, then multiply by the desired quantity and add the totals to get the final cost, which is $10.25.
The cost for 4 notebooks is $7.00, which means one notebook costs $1.75 (since $7.00 divided by 4 equals $1.75). To find the cost of 5 notebooks, we multiply 5 by $1.75 to get $8.75.
The cost for 10 folders is $2.50, which means one folder costs $0.25 (since $2.50 divided by 10 equals $0.25).
To find the cost of 6 folders, we multiply 6 by $0.25 to get $1.50.
Finally, we add these two amounts together to find the total cost: $8.75 (for notebooks) + $1.50 (for folders) equals $10.25, which is the total amount Rico will spend.
50 POINTS*****
Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding the length of the directed line segment?
The ratio given is part to whole, but fractions compare part to part.
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
The ratio given is part to whole, but the associated fraction is .
Answers
Answer:
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
Step-by-step explanation:
We know that partitioning a directed line segment into a ratio of 1:3 means that we are dividing the given line segment into two parts whose first part is 1 times the of some quantity while the another part is 3 times of the same quantity. So basically we are comparing part to part in by ratio. And total number of parts in the whole will be just sum of both so we get 1+3=4
Hence choice (3) is correct answer.
"The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."
Final answer:
Partitioning a directed line segment into a ratio of 1:3 is not the same as finding the length of the directed line segment. The ratio compares parts within the whole, while finding the length involves measuring the entire segment. To find the length of each part in a 1:3 ratio, divide the length of the segment by 4.
Explanation:
Partitioning a directed line segment into a ratio of 1:3 is not the same as finding the length of the directed line segment because the ratio given is part to whole, while finding the length involves determining the actual measurement of the segment. The ratio 1:3 compares the parts within the whole, while finding the length of the segment involves measuring the entire length.
When the ratio is given as 1:3, it means that the segment is divided into 4 equal parts (1 part + 3 parts). The length of the entire segment is the sum of these 4 parts. To find the length of each part, you can divide the length of the segment by 4.
For example, if the length of the segment is 8 units, each part will have a length of 8/4 = 2 units.
What is the equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3? Drag and drop the appropriate number,symbol,or variable to each box.
Answers
[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=-3[x-(-1)]\implies y+4=-3(x+1)[/tex]
The equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3 is y=-3x-7
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We are given the slope of the line of -3 and a point (-1,-4) that it passes through.
We will use the Point-Slope Formula:
Plug in the values and solve:
y-(-4)=-3(x-(-1)
y+4=-3(x+1)
y+4=-3x-3
y=-3x-3-4
y=-3x-7
Hence, the equation in point-slope form of the line that passes through the point (-1,-4) and has a slope of -3 is y=-3x-7
Learn more about slope here:
https://brainly.com/question/2503591
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I will give brainlyiest, 5 stars!, a thanks and also a friend request if you get this right
Answers
Answer:
the answer is n=>8
Step-by-step explanation:
m ∠E = 60° and m ∠G = 85° what is m ∠L?
A: 180°
B: 45°
C: 35°
D: 85°
Answers
Answer:
The answer is C: 35°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
So, 180°-(60°+85°)
= 180°-145°
= 35°
m∠L = 35°
Hope it helps!
Which of the following equations represents a quadratic function?
Answers
Answer:
The correct options should be B and C.
Step-by-step explanation:
Quadratic equation is an equation in which the highest degree of the variable is 2. No fractional power of variable is acceptable in the equation. So, the power of variable can be 0, 1, and 2 only.
The given equations are,
[tex]y=-x^2+5\sqrt{x}-16\\y=2x^2-12x+9\\x=2y^2-9y+4\\5x-3y=-6[/tex]
From the above equations, equation 1, 2, and 3 has degree 2. But in equation 1, the power of variable x is 0.5 which is a fraction.
So, equation 2 and 3 only are the quadratic equations.
Therefore, the correct options should be B and C.
For more details, refer the link:
https://brainly.com/question/24817658?referrer=searchResults
Alvin is 15 years younger than Elga. The sum of their ages is 35. What is Elga's age?
Answers
Answer:
Elga is 25 and Alvin is 10
Step-by-step explanation:
25 - 10 is 15
25 + 10 = 35
Answer:
25
Step-by-step explanation:
Let A = Alvin's age
and E = Elga's age
We have two conditions:
(1) A = E – 15
(2) A + E = 35 Substitute (1) into (2)
E – 15 + E = 35 Combine like terms
2E – 15 = 35 Add 15 to each side
2E = 50 Divide each side by 2
E = 25
find the number of scarfs of length half metre that can be made from Y metres of cloth
Answers
Answer:
2Y is the number of scarfs of length half metre that can be made from Y metres of cloth.
Step-by-step explanation:
To find the number of scarfs of length half metre that can be made from Y metre of cloth.
As per the given condition:
we have:
[tex]\text{Length of 1 scarf} = \frac{1}{2} m[/tex]
then;
Number of scarfs that can be made from Y metre of cloth = [tex]\frac{Y}{\frac{1}{2} } = Y \times 2 = 2Y[/tex]
Therefore, number of scarfs of length half metre that can be made from Y metres of cloth is, 2Y
combine like terms 19a+2b+11a-b hurry plz
Answers
Answer:
30a+b
Step-by-step explanation:
Ben is raising money for the food bank Make a line graph comparing people fed to the amount of the donation
Answers
help need more help in geometery
Answers
Answer:
can you post the question
Step-by-step explanation:
first ask the question
Answer:
What type of geometry? What is your question? Or are you looking for tutoring?
Step-by-step explanation:
Two angles form a linear pair. The measure of one angle is 2/3 the measure of the other angle. Find the measure of each angle
Answers
Answer:
108° and 72°
Step-by-step explanation:
let one angle be x then the other angle is [tex]\frac{2}{3}[/tex] x
the sum of the 2 angles = 180°, hence
x + [tex]\frac{2}{3}[/tex] x = 180 ( combining the left side )
[tex]\frac{5}{3}[/tex] x = 180
multiply both sides by 3 then divide both sides by 5
5x = 540 ⇒ x = 108
the 2 angles are x = 108° and [tex]\frac{2}{3}[/tex] x = 72°
Answer:
sorry i cant add a comment but which is the smallest angle
Step-by-step explanation:
which of the following is an irrational number
Answers
Hello there! Your answer is B.
A rational number is just a number that can be expressed as a fraction.
Let's start by simplifying each number:
A. [tex]-\sqrt{16}[/tex] = -4 or -4/1
B. [tex]\sqrt{0.4}[/tex] = 0.63245553203...
C. [tex]\sqrt{4}[/tex] = 2 or 2/1
D. [tex]\sqrt{16}[/tex] = 4 or 4/1
Out of the options given, all of them can be simplified into a fraction, except for the second one, so that means that the second one is our irrational number.
Given the function ƒ(x) = x 2 - 4x - 5
Identify the zeros using factorization.
Draw a graph of the function. Its vertex is at (2, -9).
Answers
Answer:
Zeros of the given function are x=5 and x=-1.
Step-by-step explanation:
f(x)=x^2-4x-5
f(x)=x^2+1x-5x-5
f(x)=x(x+1)-5(x+1)
f(x)=(x-5)(x+1)
To find zeros, we need to set f(x)=0
0=(x-5)(x+1)
0=(x-5) or 0=(x+1)
0=x-5 or 0=x+1
5=x or -1=x
Hence zeros of the given function are x=5 and x=-1.
We can plug some random numbers like x=0,1,2,... into given function to find few points then graph those points and join them by a curved line.
That will give the final graph as attached below:
for x=0,
f(x)=x^2-4x-5
f(0)=0^2-4(0)-5
f(0)=0-0-5
f(0)=-5
Hence first point is (0,-5)
Similarly we can find more points.
what is the slope of a line perpendicular to the line of y=-1/4x-1
Answers
Answer: 4
The given line has a slope of -1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = -1/4 is given
Flip the sign to get -1/4 turn into +1/4 or just 1/4
Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.
Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in -1.
Which unit rate corresponds to the proportional relationship shown in the graph? Drag and drop the answer into the box to match the graph with its unit rate. A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 12 comma 16 right parenthesis .
opitions- 0.33 cm/s 0.25 cm/s 0.75 cm/s 1.33 cm/s
Answers
Answer:
the correct option is D: 1.33 just finished test need any other answers feel free to message me :)
Answer:
1.33 cm/sStep-by-step explanation:
The line is going from point (0;0) to point (12;16), the proportional relationship between these points refer to the slope of the line, which can be found with this expression:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Replacing all values we have:
[tex]m=\frac{16-0}{12-0}=\frac{16}{12}=1.33[/tex]
Therefore the relation shown in the graph is represented by 1.33 cm/s, which refers to the constant speed developed by the object.
What is the value of x? 6.75+3/8x=131/4
1. 2 7/16
2. 171/3
3. 18 2/3
4. 531/3
Answers
[tex]6.75+\frac{3}{8}x=13\frac{1}{4}\\\\ 6\frac{3}{4}+\frac{3}{8}x=13\frac{1}{4}\\\\ \frac{3}{8}x=13\frac{1}{4}-6\frac{3}{4}\\\\ \frac{3}{8}x=12\frac{5}{4}-6\frac{3}{4}\\\\ \frac{3}{8}x=6\frac{2}{4}\\\\x=\frac{13}{2}\cdot\frac{8}{3}\\\\x=\frac{52}{3}\\\\ x=17\frac{1}{3}[/tex]
Answer:
its B 0o0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
and also this thing is 3 years old
i feel old -'-
Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25% less than she had hiked in the morning.
Answers
Haruka hiked 8 kilometers in the morning. This is calculated by recognizing that the 6 kilometers she hiked in the afternoon was 25% less than her morning hike, making it 75% of her morning hike.
Explanation:Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25% less than she had hiked in the morning. To solve this problem, let's represent the number of kilometers Haruka hiked in the morning as x.
Since the afternoon hike was 25% less than the morning hike, this means she hiked 75% of the distance she did in the morning in the afternoon. The 6 kilometers she hiked in the afternoon then represent this 75% of the morning hike.
We can set up the equation as follows: 0.75x = 6. To find x, we divide both sides of the equation by 0.75. So, x = 6 / 0.75 which simplifies to x = 8.
Therefore, Haruka hiked 8 kilometers in the morning.
Can someone help me with #1 please ? The picture of the triangle and answers are below !
Answers
the sum of 4 consecutive even integers is 460. Write an equation that models this situation and find the value of the 4 integers?
Answers
What does 45 dividend by 5/11
Answers
Answer:
i think the answer is 99 im not completely sure though
but i hope this helps
Emergency !!
What is the value of X?
will give brainly
Answers
Answer:
83
Step-by-step explanation:
Theorem:
The measure of any exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
The angle measuring x is an exterior angle.
The angles measuring x - 39 and x - 44 are the remote interior angles to the exterior angle.
According to the theorem:
x - 39 + x - 44 = x
2x - 83 = x
x - 83 = 0
x = 83
K(n)=10n-19 find k(-7)
Answers
Answer:
k(- 7) = - 89
Step-by-step explanation:
to evaluate k(- 7) substitute n = - 7 into k(n)
k(- 7) = (10 × - 7 ) - 19 = - 70 - 19 = - 89
Answer:
k(- 7) = - 89
Step-by-step explanation:
N= -7 so K(n)= K(- 7)
to evaluate k(- 7)
k(- 7) = (10 × - 7 ) - 19 = - 70 - 19 = - 89
The expression 12(x+4) represents the total number of cds mei bought in April and May at $12each. Which property is applied to write the equivalent expression of 12x+48
Answers
Answer:
distributive property
Step-by-step explanation:
each term in the parenthesis is multiplied by the 12 outside
12(x + 4) = 12x + 48 ← using the distributive property
what is the use of force to move an object over distance
a. power
b. work
c. distance
d. none of the above
Answers
Answer:
work
Step-by-step explanation:
480 divided by 8 with remainder
Answers
Answer:
That would be 60, and there isn't a remainder.
Step-by-step explanation:
480÷8
Since there are 6 8's in 48, it would be that but you would add a zero, since it is four hundred. Hope this helps!
Answer: 60
Step-by-step explanation:
Set up the long division.
2 Calculate 48 ÷ 8, which is 6.
3 There is no remainder. We are done. Add ending zeroes to the final answer.
-6m2 - 7m + 8) - (2m2 - 5m - 9
Answers
Answer:
-8m^2 -2m +17
Step-by-step explanation:
(-6m^2 - 7m + 8) - (2m^2 - 5m - 9)
Distribute the minus sign
(-6m^2 - 7m + 8) - 2m^2 + 5m + 9
I like to line them up vertically
-6m^2 - 7m + 8
- 2m^2 + 5m + 9
---------------------------
-8m^2 -2m +17
[tex](-6m^2-7m+8)-(2m^2-5m-9)\\\\=-6m^2-7m+8-2m^2-(-5m)-(-9)\\\\=-6m^2-7m+8-2m^2+5m+9\qquad\text{combine like terms}\\\\=(-6m^2-2m^2)+(-7m+5m)+(8+9)\\\\=\boxed{-8m^2-2m+17}[/tex]
What is the equation in point slope form of the line that passes through the point (2, 6) and has a slope of 5?
y−6=5(x−2)
y+2=5(x+6)
Answers
Answer: [tex]y-6=5(x-2)[/tex]
Step-by-step explanation:
1. You have that the point slope formula is:
[tex]y-y_1=m(x-x_1)[/tex]
Where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] the given point.
2. You know the point (2,6) and the slope 5, which are given in the problem, therefore you only need to substitute values, as you can see below:
[tex]m=5\\x_1=6\\y_1=2\\y-y_1=m(x-x_1)\\y-6=5(x-2)[/tex]
3. Therefore, the answer is [tex]y-6=5(x-2)[/tex]
Answer:
The answer is y-6=5[x-2]
Step-by-step explanation:
I just finished the test and got 100%
Simplify using the distributive property, Show all work -2(x - 5) + 4(9 + x).
Answers
-2x + 10 + 36 + 4x
=2x + 46
Answer:
c= 5
Step-by-step explanation:
right on edg 2020
Donna is ordering chocolate chip cookies for her company's picnic. The cookies are sold in packages of 6. She needs 336 cookies. How many packages should Donna buy?
Answers
Step-by-step explanation:
To find how many packages Donna should buy, we need to solve 336/6.
According to the question, there are 6 cookies in a package. This means that to find the number of packages Donna has to buy, we have to divide the the number of cookies per package, 6, from the total number of cookies, 336.
Step 1. (This is the only thing you need to do!)
336 ÷ 6 = 56 packages
If you want to double check your answer, just multiply 6 (the number of cookies) by 56 (the number of packages). This shows us how many cookies we'll get by buying 56 packages, which each have 6 cookies.
6 × 56 = 336 cookies
56 packages, which have 6 cookies each, will give us 336 cookies. Our answer is correct! :)