Answer:
Step-by-step explanation:
To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:
f(x) = 2x^2 + 3x - 2
First, we factor out the coefficient of x^2:
f(x) = 2(x^2 + (3/2)x) - 2
Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:
f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2
Simplifying the expression inside the parentheses:
f(x) = 2[(x + 3/4)^2 - 9/16] - 2
Expanding the brackets and simplifying:
f(x) = 2(x + 3/4)^2 - 17/8
Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.
Hope that helps
Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°
b. it has no reflectional symmetry
c. it has reflectional symmetry with two lines of symmetry
d. it does not have symmetry point
Answer:
a. it has rotational symmetry with an angle of rotation of 90°
Step-by-step explanation:
This year,a small business had a total revenue of 89,100. If this is 32% more than their total revenue the previous year, what was their total revenue the previous year
Answer: 60588
Step-by-step explanation:
= 89100 x 0.68
= 60,588
what is the correct expanded form and value of (One-fifth) Superscript 4?
A. 1/5+1/5+1/5+1/5=4/5
B. 1/5 x 1/5 x 1/5 x 1/5= 1/625
C.1+1+1+1/5 x 4 = 4/20
D.1/5x4=4/5
Answer:
B, 1/5*1/5*1/5*1/5=1/625
Answer:
B.
Step-by-step explanation:
because furries are alwasy right
I don’t need you to explain just answer.
Y-intercept:
To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.
Slope:
To find the slope of the line, use the equation:
(y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.
Equation:
y = (y-intercept) + x(slope)
What's the distance between - 14 and -5 on a number line?
A) 34
B) 11.7
D) 68
Question 15 (5 points)
Answer:
9
Step-by-step explanation:
Take -14 minus -5
-14 - (-5) Distribute the negative to -5
-14 + 5 Add
-9 Since distance can't be negative take the absolute value of -9
|-9| = 9
Answer:
the distance is 9
Step-by-step explanation:
its 9 because 14-5 = the distance of them on a number line
directions for constructing the centroid of a triangle?
Step-by-step explanation:
1.Draw a triangle
2. Measure one of the sides of the triangle
3. Place a point at the midpoint of one of the sides of the triangle.
4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.
5. Repeat steps 2-4 for the remaining two sides of the triangle.
equation of the line that passes through (2, -1) and has a slope of
-5
What is the slope of -2x+ 5y = 10?
Answer:
the rise is 2 and the run is 5
Step-by-step explanation:
2/5
Answer:
Step-by-step explanation:
the slope is = 2/5
the y-intercept = 2
Guess the riddle!!!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?
Step-by-step explanation:
1 rabbit
9 elephants (not clear going to river or not)
3 monkeys
6 tortoise
total 19 animal in the story
20 including the riddle maker who saw all of this (if we insist the riddle maker (human) are part of animal hahaha)
but the total animal going to river for sure is 10 animals
Need help Asap plz and thank you!
Given m
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation
Answer:
a reflection and a dilation
Step-by-step explanation:
in the wording, it was stated that the triangle was reflected then dilated.
The correct answer is translation and a dilation
What are the various types of transformation?There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
How to solve this problem?The steps are as follow:
Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC which means that ΔABC was translated i.e shifted to give ΔA"B"C"So the correct answer will be translation and a dilation
Learn more about translation and a dilation here:
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Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).
Answer:
27.4
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+ 34.6+118 = 180
Combine like terms
x+152.6 = 180
Subtract 152.6 from each side
x +152.6-152.6 = 180-152.6
x =27.4
_________________________________
Solution,
x+118+34.6=180°( sum of angle in traingle)
or,x+152.6=180
or,X=180-152.6
X=27.4
The value of X is 27.4 °
hope it helps
Good luck on your assignment
_________________________________
let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5
Answer:
g(5)=17
Step-by-step explanation:
g(x)=3x+2
Let x = 5
g(5) = 3*5+2
= 15+2
= 17
Answer:
17
Step-by-step explanation:
Just substitute 5 into the position of X
The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2
Answer:
[tex]400\pi m^2[/tex]
Step-by-step explanation:
If the diameter is 40, the radius is 20.
The area is 400π
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point -4, -3
Answer:
y=x^2+7x+12
Step-by-step explanation:
A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. Determine the price of the hamburger.
Answer:
$3.99
Step-by-step explanation:
if one fry and one Burger is $5.49, and two fries and one Burger is $6.99, the difference between those two numbers is a $1.50 so, $5.49 - $1.50 equals $3.99 also known as the amount of money for one Burger.
Simplify the expression:
3x (4x-6)
—————
2x(3x)
Answer:
[tex]=\frac{2x-3}{x}[/tex]
Step-by-step explanation:
[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]
What is one possible set of dimensions of a cone that has the same volume as the cylinder? Explain
your reasoning
Answer:
Cone that has 3 times the height, but the same base
Step-by-step explanation:
The formula for cone's volume is 1/3bh while cylinder is just bh
1. Which region has the highest population?
2. Which region has the lowest population?
3. Which range (in millions of people) on the chart contains
the greatest number of regions; 0-3, 3-6, 6-9, 9-12, 12-15 or 15-18?
4. Which regions contain more than 3 million males?
5. Does any region have significantly more females to males
in it?
6. What is the difference (to the nearest million) between the
biggest populated region and the next biggest populated
region?
all I know is for #2 greenland
PLEASE HELP ME I GIVE BRANLYIEST
A school surveyed students, asking whether they are right-handed or left-handed. This table provides data from the survey.
Right-Handed Left-Handed
Boys 108 23
Girls 99 16
Fill the tables with the relative frequencies. If necessary, round your answers to the nearest hundredth.
Answer:
[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]
[tex].18+.82=1[/tex]
[tex].14+.86=1[/tex]
[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]
[tex].41+.59=1[/tex]
[tex].48+.52=1[/tex]
[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]
Step by Step:
Step which two decimals added together equal 1?
0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18
[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]
Now solve for the rows in the first table
[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]
so there is the first row for boys in the first table
Now solve for the second rows in the first table
[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]
so there is the second row for girls in the first table
Now we do pretty much the same for table 2 just it's columns instead of rows
[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]
So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.
[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]
So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.
Hope this makes sense and helps!!!
Answer:
first box= boys= .82, .18 girls= .86, 14
second box= boys= .52 .59 girls= .48 .41
Step-by-step explanation:
i did the test
PLS HELP my homework is due tomorrow
Answer:
for 1 its -0.25 and 1.25
for 2 its -0.5. and 1.5
Step-by-step explanation:
idk if there is, but just use the graph + common sense.
you don't need to solve it in any way
which phrase best describes a theorem in an axiomatic system?
Answer:
The best phrase that describes a theorem in axiomatic system is :
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
hope this helps
Answer:
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
Which of the following best represents 43?
A number between ____ and ____.
A. 7 and 8
B. 8 and 9
C. 5 and 6
D. 6 and 7
Answer:
D
Step-by-step explanation:
If you mean the sqrt of 43, then
sqrt 36 is 6
sqrt 49 is 7,
since sqrt of 43 is between sqrt 36 and sqrt 49,
sqrt of 43 is between 6 and 7
what is the standard form of 7+3i/2-5i
Answer:
-1/29+41/29*i
Step-by-step explanation:
(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=
(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i
helppppoppooppppppppp.
A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters
Answer:
The volume remaining is approximately 536 cm³
Step-by-step explanation:
The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:
[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]
While the volume of the cone is:
[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]
What remains on the hemisphere is the difference between these volumes, therefore:
[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]
The volume remaining is approximately 536 cm³
What is the equation of a line, in standard form, for the line with slope 5 and a y-intercept of -4?
a) 5x + y - 4 = 0
b) 5x - y + 4 = 0
c) 5x - y - 4 = 0
d) 5x + y + 4 = 0
Answer:
Option c
Step-by-step explanation:
Converting all options into slope intercept, you get
a) y=-5x+4
b) y=5x+4
c) y=5x-4
d) y=-5x-4
option c has slope 5 and y-intercept -4
William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM
Answer:
12:00 AM
Step-by-step explanation:
Taking the lodge as the center of the coordinate system, the position of each person is:
William: 6+3*t
Nancy: 5*t
Edgar: 12*t
where t is in hours after 10:00 am
Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.
WN = √[(5*t)² + (6+3*t)²]
Similarly, Between the positions of Nancy and Edgar:
NE = √[(5*t)² + (12*t)²]
If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then
NE = WN + 10
√[(5*t)² + (12*t)²] = √[(5*t)² + (6+3*t)²] + 10
With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM
WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.
Answer:
6.5
Step-by-step explanation:
If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.
If In triangle PQR, PQ = 13, QR = 14, and PR = 15. M is the midpoint of QR. PM is: 12 cm.
Triangle PQRIn △PQR
M=Midpoint of side QR
PM =Median of the iangle
Using Apollonius theorem
PQ ² +PR ² =2PM ² +2QM ²
13²+14²=2PM ² +2(1/2QR) ²
169+196=2PM ²+2(6)²
169+196=2PM ²+2(36)
365=2PM ²+ 72
2PM ²=293
Divide both side by 2
PM ²=293/2
PM ²=146.5
PM=11.97 cm
PM=12 cm (Approximately)
Therefore PM is 12 cm.
Learn more about Triangle PQR here:https://brainly.com/question/1270564
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Can someone helping me?
Answer:
11
Step-by-step explanation:
Graph in desmos by making a table then you're able to count more clearly
Answer:
Answer is option b) 11
Step-by-step explanation:
[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
