Answer:
(3x - 5)(x - 6).
Step-by-step explanation:
In order to factor this quadratic, we can use the method of grouping. First, we need to find two numbers that add up to 23 and multiply to 90. The two numbers 18 and 5 satisfy both of these conditions,
since 18 + 5= 23 and 18*5
We can then factor the quadratic as follows:
[tex]\sf 3x^2 - 23x +30[/tex]
we can write it as:
[tex] \sf 3x^2 -(18+5)x + 30 [/tex]
Opening bracket
[tex] \sf 3x^2 - 18x -5x +30 [/tex]
Taking common from each two terms
[tex] \sf 3x(x-6) -5(x-6) [/tex]
Taking common and keeping remaining in bracket
[tex] \sf (x-6)(3x-5) [/tex]
Therefore, the quadratic of [tex] \sf 3x^2 - 23x +30 [/tex] can be factored as (3x - 5)(x - 6).
Annabelle has $0.15 worth of pennies and nickels. She has a total of 7 pennies and
nickels altogether. By following the steps below, determine the number of pennies, x,
and the number of nickels, y, that Annabelle has.
Answer:
Nickels x = 11 and pennies y = 9
Step-by-step explanation:
Activity a1 takes 5 weeks a2 takes 8 weeks and a3 takes 2 weeks. what is the slack of a3?
Slack of a3 is 6 weeks.
What is slack?
Slack variables are variables that are introduced to an inequality constraint in an optimization problem to change it into an equality. An inequality constraint is replaced by an equality requirement and a non-negativity constraint on the slack variable when a slack variable is introduced. In particular, slack variables are employed in linear programming. The slack variable, like the other variables in the augmented constraints, can only have positive or zero values because of the simplex method. A constraint is binding at a certain candidate solution if its associated slack variable is zero because it limits the modifications that can occur after that.
There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.
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(There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.)
the pawn class represents the physical body, and the controller class represents the brain. choose one • 1 point true false
Actors that can be manipulated by humans or artificial intelligence (AI) all descend from the Pawn class. A player or AI entity's physical representation in the world is called a "Pawn." This means that the player's or AI entity's physical interactions with the outside environment, such as collisions and other physical interactions, are likewise controlled by the Pawn. This can be perplexing in some situations because some game types might not have an obvious player mesh or avatar. Regardless, the Pawn continues to reflect a player or other entity's actual position, rotation, etc. within the game. A unique class of Pawn that can move around is called a Character.
The default relationship between Controllers and Pawns is one to one, which means that each Controller can only have one Pawn under their control at any given moment. Additionally, a Controller does not necessarily hold a Pawn that spawns while a game is being played.
What do you mean by manipulated?When someone is manipulating you, they are likely mentally forcing you to do something you don't truly want to do, the expert claims. You may feel compelled to do it, afraid to do it, or guilty if you don't.
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Find the average rate of change of the function on the interval specified for real number b.
f(x) = 8x^2 − 6 on [1, b]
[answer], b≠1
The average rate of change of the function f(x) = 8x² - 6 is given as 8h + 16x
What is average rate of Change?It quantifies how much the function changed per unit on average throughout that time span. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.
What is the computation that justifies the above result?f(x) = 8x^2 - 6
Avge rate : [ f(x+h) - f(x)]/(x +h - x)
f(x+h) = 8(x+h)^2 - 6
f(x) = 8x^2 - 6
f(x+h) - f(x) = 8x^2 + 8h^2 + 16xh + 6 - 8x^2 -6 = 8h^2 + 16xh
Avg rate = ( 8h^2 + 16xh)/h
= 8h + 16x
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The average rate of change of the function over the interval is 8(b + 1)
How to determine the average rate of change of the function over the interval?The given parameters are
Function: f(x) = 8x^2 - 6
Interval: [1, b]
Calculate f(1) and f(b) using the function definition
So, we have
f(1) = 8(1)^2 - 6 = 2
f(b) = 8(b)^2 - 6 = 8b^2 - 6
The average rate of change of the function over the interval is then calculated as
Rate = [f(b) - f(1)]/[b - 1]
This gives
Rate = [8b^2 - 6 - 2]/[b - 1]
Evaluate
Rate = [8b^2 - 8]/[b - 1]
Factorize the numerator
Rate = [8(b + 1)(b - 1)]/[b - 1]
Divide through by b - 1
Rate = 8(b + 1)
Hence, the average rate of change of the function over the interval is 8(b + 1)
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PLS HELP
ANSWER NEED
Answer:
3 terms
Step-by-step explanation:
3, y and ^2 are all terms in the expression
The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.
The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.
Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.
Given that the length of a bacterial cell is about 5.36 x 10⁻⁴ m, and the length of an amoeba cell is about 6.2 x 10⁻⁴ m.
Ratio of the size of the cell is
B/A = 5.36 x 10⁻⁴/6.2 x 10⁻⁴
B/A = 5.36/6.2
= 0.864
Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.
micro organism are prokaryotes, lacking nicely-defined nuclei and membrane-sure organelles, and with chromosomes composed of a unmarried closed DNA circle. they come in many sizes and styles, from minute spheres, cylinders and spiral threads, to flagellated rods, and filamentous chains.
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Find the equation of the line parallel to the given line passing through the given point
y=-3x+2; (-2,-6)
Answer:
2946
Step-by-step explanation:
I don't know and iam not sure in that
Help! This is for geometry b project parabolas part 3
Answer:
[tex](x+3)^2=-4(y-3)[/tex]
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry
[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]
[tex]\textsf{Vertex}=(h, k)[/tex]
[tex]\textsf{Focus}=(h,k+p)[/tex]
[tex]\textsf{Directrix}:y=(k-p)[/tex]
[tex]\textsf{Axis of symmetry}:x=h[/tex]
If p > 0, the parabola opens upwards.
If p < 0, the parabola opens downwards.
From inspection of the given graph:
Vertex = (-3, 3)Focus = (-3, 2)Directrix: y = 4Axis of symmetry: x = -3Therefore:
h = -3k = 3k + p = 2 ⇒ 3 + p = 2 ⇒ p = -1k - p = 4 ⇒ 3 - p = 4 ⇒ p = -1Substitute the found values of h, k and p into the formula:
[tex]\implies (x-(-3))^2=4(-1)(y-3)[/tex]
[tex]\implies (x+3)^2=-4(y-3)[/tex]
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Find the arc length of the partial circle.
Either enter an exact answer in terms of pi or use 3.14, point, 14 for pi and enter your answer as a decimal.
The length of the arc of the partial circle is 18.84 units.
As per the question statement, we are supposed to find out the length of the arc of the partial circle as given in the figure provided.
Before solving this question, we need to know the formula for calculating the arc length of the circle i.e.,
Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]
where [tex]\alpha[/tex] is the angle provided between the arc end in degrees
[tex]r[/tex] is the radius of the given circle in given units and
[tex]\pi =3.14[/tex]
In the given circle, the angle subtended by the arc is complete angle minus 90 degrees i.e.,
[tex]\alpha =360 - 90 = 270 degrees[/tex]
radius [tex]r[/tex] = 4 units (given)
Therefore Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]
[tex]= 2*3.14*4*(\frac{270}{360})\\ =25.12(0.75)\\=18.84 units[/tex]
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2. Provide all the details necessary to map △XYZ to △JLK in the picture below. Show your work AND record your response below.
Translate △XYZ 9 units to the right and then 11 units down to get △JLK.
We need to map △XYZ to △JLK.
From the figure, △XYZ is in the 2nd quadrant and △JLK is in the 4th quadrant.
Also it is clear that side XY is mapped to JK, YZ to KL and XZ to JL.
To find the distance translated to the right we need to find the distance between the x- coordinates of the corresponding points of the two triangles as they are congruent.
Consider Y and K. The x- distance between Y and K = 6 - - 3 = 9 units.
So first 9 units translation to right.
Similarly, To find the translation downwards, we need to find the distance between the y-coordinates of Y and K.
y-Distance between Y and K = 1- -10 = 11 units.
So next 11 units translation to down.
This will give the △JLK from △XYZ .
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Does the figure above appear to have rotational symmetry?
If yes, select the angles of rotation less than 360°
Answer:
yes. because every time it is turned it should equal out to be the same angle as the last
on friday, you drove 145 miles to stay at your grandmother's house. on Sunday, you returned home and calculated the the road trip travel time was 5 hours. What was your average speed?
Answer:
29 mph
Step-by-step explanation:
divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!
Answer: 58 mph
Step-by-step explanation: Since its a round trip multiply 145 by 2.
290
Divide 290/5= 58
58 miles per hour
in this problem you will explain using simplre plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates
A parallelogram has an area of 20 units².
Solution:
A = bhTo find b = base, use the distance formula; to find h = height, use the perpendicular distance from a line to a point formula.Explanation:
The coordinates of a parallelogram are given. Locate the area.A = bhIt's easiest to demonstrate by doing an example.(0,0), (5,3), (5,7), etc (0,4). The base is represented by the points (0,0), and (5,3). The point (0,4) = (m,n) top leftUsing the distance formula, calculate the length of the base b:
[tex]\begin{aligned}&\mathrm{d}=\sqrt{\left(\mathrm{y}_2-\mathrm{y}_1\right)^2+\left(\mathrm{x}_2-\mathrm{x}_1\right)^2} \\&\mathrm{~b}=\sqrt{(3-0)^2+(5-0)^2}=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]
Using the perpendicular distance from a line to a point formula, calculate the height h:
[tex]\mathrm{d}=\frac{|\mathrm{Am}+\mathrm{Bn}+\mathrm{C}|}{\sqrt{\mathrm{A}^2+\mathrm{B}^2}}[/tex] where (m,n) is the left-top point from which we will drop a perpendicular to the base b line.The baseline must have the following formula: Ax + By + C = 0.Determine the baseline:
Slope = m = [tex]\frac{3-0}{5-0}=\frac{3}{5}[/tex]Line: [tex]y-y_1=m\left(x-x_1\right) ; y-3=\frac{3}{5}(x-3)[/tex]Distribute: [tex]y-3=\frac{3}{5} x+\frac{3}{5} \cdot-\frac{5}{1} ; y-3=\frac{3}{5} x-3[/tex]Baseline: [tex]y=\frac{3}{5} x[/tex]In Ax + By + C = 0 form, the bottom line is:
[tex]\begin{aligned}&\frac{3}{5} \mathrm{x}-\mathrm{y}=0 ; 5\left(\frac{3}{5} \mathrm{x}-\mathrm{y}=0\right)=3 \mathrm{x}-5 \mathrm{y}=0\\&\mathrm{A}=3 ; \mathrm{B}=-5 ; \mathrm{C}=\mathrm{O}\\&h=\frac{|3 \cdot 0+(-5) \cdot 4+0|}{\sqrt{3^2+(-5)}}=\frac{|-20|}{\sqrt{9+25}}\\&\mathrm{h}=\frac{20}{\sqrt{34}}\\&\mathrm{A}=\mathrm{bh}=\sqrt{34} \cdot \frac{20}{\sqrt{34}}=20 \text { units }^2\end{aligned}[/tex]
Therefore, a parallelogram has an area of 20 units².
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The complete question is given below:
In this problem, you will explain using simple plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates.
I need help on 11 and 12 I need it in 1 min help asp
Answer:
in 11 1 is greater in 12 they are equal
Step-by-step explanation:
Name all of the congruent parts. Give a reason for each.
Triangle OCE is congruent to Triangle OVE.
triangle LAP is congruent to triangle YAP.
9.
Triangle OCE is congruent to Triangle OVE
side CE=CV
angle COE= angle VOE
angle C = angle V
By AAS congruency Triangle OCE is congruent to Triangle OVE.
10.
angle LAP =angle YAP
AP common side
LA=PY
By SAS congruency so triangle LAP is congruent to triangle YAP.
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I need help with this,I need the awnsers before tommrow PLEASE AND THANK YOU!!!!!
The graphs of the function is attached below.
The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.Determine whether the figure looks reversed, like a reflection in a mirror. The graph has been reflected if we can locate a line of reflection, picture folding the image over the line of reflection, and the shapes stack one on top of the other.The given graph is y = 2 x³ - 3
To understand the transformation we have to find the parent function.
For this graph the parent function is given by:
y = x³
So let us transform the graph to y=2x³ , the graph is stretched 2 times.
Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.
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ford wants to administer a satisfaction survey to its current customers. using their customer database, the company randomly selects customers and asks them about their level of satisfaction with the company.
Simple Random ford wants to administer a satisfaction survey to its current customers. using their customer database, the company randomly selects customers and asks them about their level of satisfaction with the company.
What is an example of a basic random sample?
A simple random sample might consist of 25 employees' names drawn at random from a pool of 250 employees. Since each employee has an equal chance of being selected, the sample in this case is random and the population in this case is all 250 employees.Is a straightforward random sample representative?
The probability sampling technique known as simple random sampling (SRS) involves selecting participants from a population at random. The likelihood of being chosen is the same for every member of the population. This technique usually results in representative, impartial sampling.Learn more about basic random sample
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Find the equation of a line that passes through the points (-1,-3) and (1,-5).
The equation of the line is (y + x = 0).
What exactly do you understand by slope?The slope of a line indicates its steepness in addition to its direction.
A line's slope is defined as the change in y coordinate in regards to a change in x coordinate.The total increase in y coordinates is Δy, while it is x in Δx coordinates.As a result, the y coordinate shift in relation to the x coordinate shift could be written as,m = Δy/Δx
where, m is the slope
And, tan θ = Δy/Δx
The above tan is also known as the line's slope.
The slope of a line can also be calculated just using two straight line points. The slope of line formula could then be used with two point coordinates.
Now, in response to the question;
P₁ = (x₁, y₁)
P₂ = (x₂, y₂)
Then slope will be;
Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)
Consider the values given in the question;
(x₁, y₁) = (-1,-3) and,
(x₂, y₂) = (1,-5).
Put the values in the formula of the slope;
Slope = m = (-5 + 3)/(1 + 1)
m = -2/2
m = -1
Thus, the slope of the line is -4.
Now, the formula for finding the equation of line using the two points system.
(y - y₁) = m(x - x₁)
(y + 3) = (-1)(x + 1)
y + 3 = -x - 1
y + x + 4 = 0.
Therefore, the equation of the line using two point system is calculated as (y + x = 0).
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The Econo Motel charges $260 for 4 nights . At this rate , how much would 7 nights cost?
Answer: $455
Step-by-step explanation:
I would think you would divide 260 by 4 and that would get you 65 and then multiply 65*7 and that would be $455
pat wants to buy four donuts from an ample supply of three types of donuts: glazed, chocolate, and powdered. how many different selections are possible?
According to the question, Pat wants to buy four donuts.
Let us assume donuts should be represented as ’D’. And the four donuts can be represented as ‘DDDD’.
Now, as per the question, there are three types of donuts and they are glazed, chocolate and powdered. Divide the donut into two parts as first one is glazed, second is chocolate and third is powdered. And the quantity of glazed is one, chocolate is two and powdered is one. And the total object is six. Therefore, the probability can be written as:
[tex]P(E) = \frac{6P2}{2} = 15 ways.[/tex]
Hence, there are [tex]15[/tex] ways to select the donuts.
What is Probability?
The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.
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Is this answer right ?
Answer:
It's 25
Step-by-step explanation:
ooposite angle of 40 is the one between 2x and the 90 degree angle.
if that is 40 and another angle is 90, then
2x + 40 + 90 = 180
2x = 180 - 130
2x = 50
50/2 = x
x = 25
Probability : 1) A pair of fair dice each numbered 1 to 6 is tossed. (i) find the probability of getting a sum of at least 9. (ii) that the two dice show the same result.
Pls help me my deadline is on tommorow afternoon
The probability of getting a sum of at least 9 is 0.277 and the probability of the two dice show the same result is 0.166
The sample space for the pair of fair dice is { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
The probability of getting a sum of at least 9 =no of outcomes whose sum is 9 or more / no of elements of sample space
= 10/36
=0.277
The probability of the two dice shows the same result = no of elements having the same result/ total number of outcomes
=6/36
=0.166
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-406=c+430
.................
Answer:
c=836
Step-by-step explanation:
=, c=430+ 406
c=836
Rewrite 8 + 12 using the GCF and factoring.
2(2 + 6)
4(8 + 12)
4(2 + 3)
8(1 + 12)
Answer:
4(2+3) is the answer
Step-by-step explanation:
Those are both factors of 8 and 12 and it is re written.
4(2+3)
4*2 + 4*3
8+12
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
Answer:
50%
Step-by-step explanation:
theres always a 50% chance of getting either a head or a tail
Maysa made an error in her work on the following problem.
3
.
5
−
2
.
46
=
1
.
16
Describe Maysa's error. Explain how you would use a model or place-value concepts to help Maysa build understanding. Give the correct answer in your explanation.
The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.
The correct equation is as follows;
3.5 - 2.46 = 1.04
Which method can be used to find the correct value to the equation?The given equation that has an error is presented as follows;
3.5 - 2.46 = 1.16
The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.
The correct process for the subtraction is presented as follows;
3.5¹0
- 2.46
1.04
Therefore;
3.5 - 2.46 = 1.04
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Omg please help and hurry with this one .
Giving brainliest to anybody that can help and give the correct answer.
Answer:
-3 is in between - 2 and - 4, - 9 is in between - 8 and - 10
follow and likes and plot the point (-3,-9)
Answer:
your dot will be next to -10
Step-by-step explanation:
The students in the Art Club are tiling a wall at the entrance to room 111 that is 8 Ft by 16 ft. They are using tiles that are 6 in. by 6 in. to create a multi-colored design. How many tiles do the students need?
Th number of tiles the students need is 512.
How many tiles are needed?The first step is to convert feet to inches
1 feet = 12 inches
The next step is to convert the dimensions of room 111 to inches
8 x 12 = 96 inches
16 x 12 = 192 inches
Now, determine the area of the room and the tiles.
Area = length x width
Area of the room = 96 x 192 = 18,432 in²
Area of the tile = 6 x 6 = 36 in²
Number of tiles needed = 18,432 in² / 36 in² =512
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what is 1 - 3 + 8? please help
Answer:
6
Step-by-step explanation:
1-3=-2
-2+8=6
help with problem 12
Answer:
A.
Step-by-step explanation:
Due to the absolute value markers on either side of the equation, there will be no negative numbers that will equal f(x). Therefore, the range cannot equal all real numbers, only all positive real numbers.