Answer:
x^2-6x + 14
Step-by-step explanation:
Here, we want to
write the standard form of the quadratic equation in the question.
This can be written by expanding the bracket.
F(x) = (x-3)^2 +5
F(x) = (x-3)(x-3) + 5
F(x) = x(x-3)-3(x-3) +5
F(x) = x^2 -3x-3x + 9 + 5 = x^2-6x + 14
Complete each proof. Remember to mark the diagram as you go. You may not need all the rows.
Answer:
did u ever get hte answers for this ?
Please help me!!!!!!!!! thanks!
Answer:
4.19 units^3
Step-by-step explanation:
The volume formula for spheres is [tex]V = \frac{4}{3} r^3[/tex]
If you plug in the radius which is 1 in this problem you'll get the volume of the sphere.
Answer: 4.19 cu. units
Step-by-step explanation:
Volume of a sphere = 4/3πr^3
= 4/3 x 3.14 x 1^3
= 4/3 x 3.14 x 1
= 4.19 cu. units
Point B ∈ AC so that AB : BC = 2:1. Point D ∈ AB so that AD : DB = 3:2. Find AD : DC.
Answer:
AD : DC is 2:3
Step-by-step explanation:
The parameters given are;
Point B ∈ AC
AB : BC = 2:1
Point D ∈ AB
AD : DB = 3:2
Therefore, whereby we sum the ratios, we have;
For AC
AB = 2/(2+1)×AC = 2/3×AC
BC = 1/3×AC
For AB
AD = 3/(3+2)×AB = 3/5×AB
DB = 2/5×AB
We are required to find AD:DC
Given that AD = 3/5×AB and AB = 2/3×AC
We have;
AD = 3/5×2/3×AC = 6/15 AC
DC = DB + BC = 2/5×AB + 1/3×AC = 2/5×2/3×AC + 1/3×AC = 4/15×AC + 1/3×AC
DC = 3/5×AC
AD : DC = 6/15 AC : 3/5×AC = 2:3.
factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression...
Answer:
(3+2m)(3-2m)
Step-by-step explanation:
(3+2m)(3-2m)
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the phone. If he talks to her at school, he's 90% likely to ask hem
to a party. However, he's only 60% likely to ask her over the phone.
This is the tree diagram that represents the probability of Thomas inviting Madeline to a party.
What is the probability of Thomas inviting Madeline to the party over the phone?
Answer:
The probability of Thomas inviting Madeline to the party over the phone is 0.143.
Step-by-step explanation:
Consider the tree diagram below.
The events are denoted as follows:
A = Thomas bumps into Madeline at school
B = Thomas call Madeline on the phone
X = Thomas asks Madeline to the party
The information provided is:
P (A) = 0.80
P (B) = 1 - P (A) = 1 - 0.80 = 0.20
P (X|A) = 0.90
⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10
P (X|B) = 0.60
⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40
The conditional probability of event U given that another events V has already occurred is:
[tex]P(U|V)=\frac{P(V|U)P(U)}{P(V)}[/tex]
The law of total probability states that:
[tex]P(V)=P(V|U)P(U)+P(V|U')P(U')[/tex]
In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).
Use the law of total probability to determine the value of P (X) as follows:
[tex]P(X) = P(X|A)P(A)+P(X|B)P(B)[/tex]
[tex]=(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84[/tex]
Compute the value of P (B|X) as follows:
[tex]P(B|X)=\frac{P(X|B)P(B)}{P(X)}[/tex]
[tex]=\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143[/tex]
Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.
Answer:
84%
Step-by-step explanation:
Its the correct answer
Given that 5 x − 3 y = 32 Find y when x = 4
Answer:
y=-4Solution,
X=4
Now,
[tex]5x - 3y = 32 \\ or \: 5 \times x - 3y = 32 \\ or \: 5 \times 4 - 3y = 32 \\ or \: 20 - 3y = 32 \\ or \: - 3y = 32 - 20 \\ or \: - 3y = 12 \\ or \: y = - \frac{12}{ 3} \\ y = - 4[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
y = 16/3 or 5.333333...
Step-by-step explanation:
5x - 3y = 4
→ Substitute the value of x = 4 into the expression
(5 × 4) - 3y = 4 ⇔ 20 - 3y = 4
20 - 3y = 4
→ Minus 20 from both sides to isolate -3y
-3y = -16
→ Divide both sides by 3 to isolate y
y = 16/3 or 5.333333...
What is the decimal multiplier to decrease by 60%?
Answer:
0.4
Step-by-step explanation:
To decrease something by 60% you multiply by 0.4
Answer:
0.4
Step-by-step explanation:
Say you have an object that costs $100.
Now 60% of $100 is $60.
Subtract $60 from $100 and you get $40.
Now $100 × [tex]x[/tex] = $40
[tex]x=0.4[/tex]
$100×0.4=$40
You need to multiply it by 0.4
The weights (lbs.) of the 5 offensive linemen for the High School football team are as follows: 215, 225, 285, 260, and 250. The median weight is:
A)205 lbs
B)250 lbs.
C)247 lbs.
D)None of these choices are correct.
BC = -2x+85 BD = 5x-48 What is the length of BC?
Answer:
-2x + 85 = 5x - 48
85 = 7x - 48
7x = 133
x = 19
BC = -2(19) + 85
BC = -38 + 85
therefore, BC = 47
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2
2(3x-5y) = 2*15
6x - 10y = 30
This is the same as the second equation
They are the same line
This means there are infinite solutions
use the elimination method to solve 4x+8y=16 4x-8y=0
Answer:
x=2, y=1
Step-by-step explanation:
4x+8y=16
4x-8y=0
Add the two equations together:
8x=16
Divide both sides by 8:
x=2
Plug this back into one of the original equations to find y:
4(2)-8y=0
8-8y=0
y=1
Hope this helps!
Answer:
x, y = (0, 0)
Step-by-step explanation:
photo math broo
Nikolas and his son, and Peter with his son, went fishing. Nickolas caught as many fish as did his son. Peter caught three times as many as his son did. Altogether they caught 35 fish. Nikolas' son's name is Gregory. What is the name of Peter's son? How many fish did each of them catch?
Step-by-step explanation:
4unit is 35
1unit is 35/4 which is 8.75
Convert 28 ounces to pounds. Express your answer in simplest form. a. 2 1/4 pounds b. 1 12/16 pounds c. 1 4/7 pounds d. 1 3/4 pounds
Answer:
1.75 pounds
Step-by-step explanation:
28 divided by 16 = 1.75!
Hope it helps!
Answer:
1.75 pounds or 1 3/4 pounds
Step-by-step explanation:
28/16 = 1.75
There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing two red marbles in a row.
Answer:
2/7
Step-by-step explanation:
4 red marbles and 3 blue marbles in a bag = 7 marbles
P(red) = red/total = 4/7
No replacement
3 red marbles and 3 blue marbles in a bag = 6 marbles
P(red) = red/total = 3/6 = 1/2
P(red, no replacement, red) = 4/7 * 1/2 = 2/7
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?
Answer:
i think 9.8 but im not sure
Step-by-step explanation:
The distance between points M and N is; 9.8 meters.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.
Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:
NM/19.6 = 7.4/(2×7.4)
Solving;
NM = 19.6/2
NM= 9.8 meters.
This follows that, the ratio of corresponding sides of congruent triangles are equal.
The distance between points M and N is; 9.8 meters.
Read more on congruent triangles;
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Solve - 2/3 x > 8 or - 2/3 x < 4.
Answer:
Brainliest? I solved both!
Step-by-step explanation:
Pls help as fast as possible
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the triangle
Answer:
384 centimeters squared.
Step-by-step explanation:
96/(6+8+10)
96/24 = 4
6×4 : 8×4 : 10×4
24:32:40
The length of its sides are in the ratio of 24:32:40
The longest side is the hypotenuse which is 40.
The area is base × height × 1/2 of a triangle.
32 × 24 × 1/2
768 × 1/2
=384
The area of the triangle is 384 cm squared.
Answer:
Area = 384 cm²
Step-by-step explanation:
Perimeter = 96 cm
Ratio = 6:8:10
So,
6x+8x+10x = 96
=> 24x = 96
Dividing both sides by 24
=> x = 4
So, The sides are
=> 24 cm
=> 32 cm
=> 40 cm
Now the area using Heron's Formula
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is the semi-perimeter = 48 cm, a , b and c are the sides
Area = [tex]\sqrt{48(48-24)(48-32)(48-40)}[/tex]
Area = [tex]\sqrt{48(24)(16)(8)}[/tex]
Area = [tex]\sqrt{147,456}[/tex]
Area = 384 cm²
What is the percent of 3.16 to 3.70
Answer:
85.4054%
Step-by-step explanation:
3.16/3.7 × 100
Divide.
0.854054 × 100
Multiply.
= 85.4054
URGENT! WILL GIVE BRAINLIEST!! The graph shows the data of texting speed according to time.A graph has time (minutes) on the x-axis and texting speed (words per minute) on the y-axis. Points are at (1, 14), (1, 18), (2, 10), (2, 15), (2, 17), (3, 14), (4, 10), (4, 15), (5, 6), and (5, 10).Use the scatter plot to determine if there is a relationship. If there is a relationship, explain it.Yes, there is a relationship. As time increases, texting speed increases.Yes, there is a relationship. As time increases, texting speed decreases.Yes, there is a relationship. As texting speed increases, time increases.No, there is no relationship displayed.
Answer: Yes, there is a relationship. As time increases, texting speed decreases.
Step-by-step explanation:
that is for the people looking for the correct answer.
The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.
Learn more about Scatter Plot:
https://brainly.com/question/13984412
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3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
HELP!!!!!! PLZZZ!!!!!HELPPPP
Answer:
x=10
Step-by-step explanation:
set it up and solve
2x-1=x+9
2x=x+10
x=10
Factorize the following :- 12y²_20y+3
Answer:
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
Step-by-step explanation:
[tex]12y^2-20y+3[/tex]
-20y can be written as -2y + -18y.
[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]
Factor out 2y from the first expression and factor out 3 from the second expression.
[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]
Factor out the common term 6y-1.
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
I need mega help I can't get it wrong
Answer:
4320 square inches
Step-by-step explanation:
Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.
Find the volume of the prism.
13ft 7ft
Answer:
the volume of the prism is VOLUME=BASE*HEIGHT
Step-by-step explanation:
SO it's ,
13*7=91ft
Answer:
591.5 ft^3
Step-by-step explanation:
does anyone know this??
complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42
Answer: y = 6
Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.
the top of two poles of height's 20m and 14m are connected by the wire
if the wire makes an angle 30 degree with the horizontal then length of the wire is
8m
10m
12m
Answer:
The correct option is;
10 m
Step-by-step explanation:
The parameters given are;
Height of the first pole = 20 m
Height of the second pole = 14 m
The angle the wire connected to their top makes with the horizontal = 30°
The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.
Let the horizontal distance between the two poles = D
Therefore;
The horizontal length of the wire = D
From trigonometric ratios, we have;
[tex]tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}[/tex]
Which gives;
[tex]D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m[/tex]
The correct option is 10 m.
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
Write 18-2 square root of -9 in the form of a+bi
Answer:
[tex]18+(-2)(\sqrt{-9})[/tex] or [tex]18-2\sqrt{9}[/tex]
Step-by-step explanation:
if BPD and dpc have a sum
of 72 degrees What is APC?
A. 18°
B 90°
D.180°