Answer:
2
Step-by-step explanation:
The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.
First, find the change in y between the two points. To do this, do y2 - y1.
y2 = 6 and y1 = 2, so you have 6 - 2 = 4.
Next, find the change in x between the two points. To do this, do x2 - x1.
x2 = 5 and x1 = 3, so you have 5 - 3 = 2.
All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.
The last step is to do change in y divided by change in x, so 4 / 2 = 2.
This means that the slope of the line is 2.
A dozen of oranges costs P288.50. About how much is the cost of 5.75 dozen?
A.$2,800
B.$1,900
C.$1,800
D.$900
Answer:
A is the correct answer, hope this helps
Find the roots of the equation below.
x2 - 6x + 12 = 0
-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3
Answer:
[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 6x + 12 = 0
Step 2: Identify Variables
Compare the quadratic to standard form.
x² - 6x + 12 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = 12
Step 3: Find Roots
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify: [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply: [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract: [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor: [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor: [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide: [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]how to rewrite 6(38) using the distributive property?
Q2. Match the event with the most appropriate probability word: If a
multiple of 8 is chosen at random it will also be a multiple of 2.
Likely
Impossible
Certain
Evens
Unlikely
Other:
Which equation shows this volume formula solved for h?
Answer:
Step-by-step explanation: the answer is B i think
Answer:
A
Step-by-step explanation:
[tex]V = \frac{nd^2h}{6}[/tex]
multiply both sides by 6
[tex]6V = nd^2h[/tex]
divide both sides by [tex]nd^2[/tex]
[tex]\frac{6V}{nd^2} = h[/tex]
So the answer is A.
PLEASEEEEEEEEEEEEE ANSWER THIS FASTTTTTTTTTTTTTTTT
Answer:
B 2:1
Step-by-step explanation:
FIND THE EQUATION OF THE LINE FROM THE FOLLOWING GRAPH. please give steps
Answer:
I can't tell
Step-by-step explanation:
I'm on an ocps school laptop and i can't see the image
Answer:
D. x+2y=12
Step-by-step explanation:
From the graph we know that the y-intercept is 6. (0,6) and the x-intercept is 12. (12,0)
The graph is going down so the slope is negative, from (0,6) count down to (0,0) and count right 12 unit to reach the x-intercept(12,0) the slope is -6/12 or -1/2.
the equation of the line is y=-1/2+6 or x+2y=12
x+2y=12
2y=-x+12
y=-1/2x+6
Can someone help me please?
Given:
A line segment AB.
A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).
Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,
[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]
Let AP and AB are 3x and 10x, then
[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]
It means, point P divided the line segment in 3:7.
Using section formula, we get
[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]
[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]
[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]
[tex]P=\left(0.8,-2.3\right)[/tex]
Therefore, the coordinates of the required point are (0.8, -2.3).
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
Yes
No
Maybe
Tell whether the ordered nair is a solution to the
Answer:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
No
If sin 0 >0 and cos 0 = 0, then which of the following is
true?
Answer:
Step-by-step explanation:
There's no list but one answer would be sin O = 1.
find the lenght of ab
Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55
Answer:
6.82.26v375 is the descreasing order
Answer:
it is c, 6.82 2pi 55/9 sq37
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
-1
Step-by-step explanation:
If you multiply x by -1 you will get the y value to be the negative of that number.
Hope this helps!!
Answer:
so first find what y equals then put the negative in front of it lol there is a pattern positive and negative
3,-3
4,-4
5,-5
6,-6
y,-y
Step-by-step explanation:
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST
write the digit on the blank which occupies the place value
Answer:
guganitckihkgucifufu
5. Cuando abrió sus puertas, una tienda de café ofrecía 6 tipos diferentes de
bocadillos. Desde entonces, agregó dos nuevos bocadillos cada semana.
Si la tienda ofrece ahora 28 bocadillos diferentes, ¿cuántas semanas (s) han
transcurrido desde su inauguración?
?
Answer:
11 weeks have passed.
Step-by-step explanation:
We can create a linear function that represents the number of bocadillos offered as a function of the number of weeks (s) that went by since the beginning (when the number of bocadillos was 6):
f(s) = 6 + 2 * s
Since now the number of bocadillos is 28, we can solve for s in the equation
28 = 6 + 2 * s
subtract 6 from both sides
28 - 6 = 2 * s
22 = 2 * s
divide both sides by 2
11 = s
Therefore, 11 weeks have passed.
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 4 or greater than 8.
Answer:
the probability is 3/6 or 1/2
Step-by-step explanation:
Help ASAP plz ASAP please
Answer:
y = 6
Step-by-step explanation:
3y/2 - 1 = 8
3y/2 = 8 + 1
3y/2 = 9
3y = 9 × 2
3y = 18
y = 18/3
y = 6
Answer:
y = 6
Step-by-step explanation:
[tex]\frac{3y}{2}[/tex] -1 =8
[tex]\frac{3y}{2}[/tex] -1 + 1 =8 +1
[tex]\frac{3y}{2}[/tex] = 9
[tex]\frac{3y}{2}[/tex] × 2 = 9 × 2
3y = 18
3y/3 = 18/3
y = 6
Double check:
[tex]\frac{3(6)}{2}[/tex] - 1 = 8
[tex]\frac{18}{2}[/tex] -1 =8
9 - 1 = 8
8 = 8
A percentage is another way to write a _________________.
Answer:
Ratio, Decimal or Fraction
Step-by-step explanation:
Answer:
it's another way to write a fraction:)
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.
116.8 115.7 114.9 115.4 115.9
Required:
a. Calculate the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
Answer:
a) The deviations from the mean
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
b)
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
Step-by-step explanation:
Step(i):-
Given that the sample observations
x : 116.8 115.7 114.9 115.4 115.9
Mean of the sample
= ∑ x/n
Mean of sample x⁻ = [tex]\frac{116.8+115.7+114.9+115.4+115.9}{5}[/tex]
Mean of sample x⁻ = 115.74
Step(ii):-
The deviations from the mean
|x-x⁻| : 116.8-115.74 115.7-115.74 114.9-115.74 115.4-115.74 115.9-115.74
|x-x⁻| : 1.06 |-0.04 | |-0.84 | |-0.34 | | 0.16 |
|x-x⁻||²: 1.1236 0.0016 0.7056 0.1156 0.0256
The variance of the given sample observations
S² = ∑ (x-x⁻)² / n-1
[tex]S^{2} = \frac{1.1236+0.0016+0.7056+0.1156+0.0256}{5-1} = 0.493[/tex]
The variance of the sample S² = 0.493
The standard deviation of the sample S =√0.493 = 0.7021
7 - 14 - (-7) = 7 + (-14) +
Answer:
7 + (-14) + (7)
Step-by-step explanation:
7 - 14 - (-7) =
Subtracting is like adding a negative and subtracting a negative is like adding a postive
7 + (-14) + (7)
The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?
Answer:
100
20 = 50
50 x2
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
250 books × 40%
= 100
other way to solve it is
250 × 0.40
= 100 fiction books
6.
Suppose that a new class is opened for enrollment and currently
has 7 students. Is this class an outlier if it is added to the data set?
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
hlep plees
hi i need to do a test for mi 1 grad clas
what 2-2=
3-1=
and for my hom work
what is
56-210=
300x 285
please help
Answer:
0, 2, 154, 85,500
Step-by-step explanation:
these are the anwsers to your question
Adigital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{ST>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Snd. As usual, if T denotes the length of each time step, d < erT < u. Find the time zero price of the above option. You may leave your answer as a sum.
Answer:
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
Step-by-step explanation:
The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.
Current value of asset price = Sn after evolvement of asset price in reference to binomial model
Hence at every step value changes to SnU and Snd
where ; d < e^rΔT < u and Δ T = length of each step
u = ups
d = downs
Determine the time zero price of the above option
First we will find the price after each period
After one period :
when the price goes up, Sn + ΔT = Su
when the price goes down, Sn + ΔT = Sd
After period two
For Su
when price goes up, Sn +2ΔT = Su2
when price goes down, Sn +2ΔT = Sud
For Sd
when price goes down, Sn +2ΔT = Sd2
when price goes up, Sn +2ΔT = Sdu
To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is
sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?
Answer:
Company A is 1.99 times B.
Step-by-step explanation:
Company A charges:
[tex]A=70.50+0.50=\$71/mile[/tex]
Company B charges:
[tex]B=35.50+0.09=\$35.59/mile[/tex]
We just need to divide A by B:
[tex]x=A/B=1.99[/tex]
Therefore, company A is 1.99 times B.
I hope it helps you!
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
Help asap please!! I will mark brainlest and give me the work
Answer:
16 square feet
Step-by-step explanation:
Base: 2 * 2 = 4
Side: 2 * 3 / 2 = 3
4 sides = 3 * 4 = 12
Base + sides = 12 + 4 = 16
Jocelyn boils 24 eggs. From experience, she knows that the shell of any given during the boiling process. If shells crack independently, what is the probability the boiling process with a cracked shell? Round to 2 decimal places.
Answer:
.62
Step-by-step explanation:
Keep it nice and simple.
Answer:
.62
Step-by-step explanation: