Answer:
l = (p - 2w)/2
Step-by-step explanation:
For all of the Following use the function LaTeX: P\left(x\right)\:=\:\left(x+3\right)^2+2 . My original vertex is
Answer:
A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)
B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)
C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)
Step-by-step explanation:
The given function is P(x) = (x + 3)² + 2
The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)
By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)
A) A function f(x) translated α units UP gives
f(x) (translated α units UP) → f(x) + α
A translation of the function 3 units UP is given by adding 3 to the given function as follows;
Q(x) = P(x) + 3
∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5
Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)
B) A function f(x) translated b units RIGHT gives;
f(x) translated b units right → f(x - b)
∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;
P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2
R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)
C) A function translated α units DOWN and b units RIGHT is given as follows;
[tex]f(x) \ translated \ by\ \dbinom{b}{a} \rightarrow f(x - b) - a[/tex]
Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;
[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)[/tex]
S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5
[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)[/tex]
S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)
Find the sin P rounded to the nearest hundredth
Answer:
SOH-CAH-TOA
[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°
SOH = SIN = OPP/HYP
SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]
Step-by-step explanation:
Anyone Know The Answer???
Answer:
I think it is 2, downwards
Answer:
vertical shift of 2 units up
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
f(x) = 9 | x + 1 | + 2
Represents a vertical shift of 2 units up of the parent function
can i get some help solving this
Answer:
A =147 cm^2
Step-by-step explanation:
A = pi r^2
The radius is 7 and let pi = 3
A = 3*7^2
A = 3*49
A =147
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
Write out the first five terms of the sequence.
an = n - 6
Answer:
-6, -5, -4, -3, -2
or
-5, -4, -3, -2, -1
depending on if N starts at 0 or 1
Step-by-step explanation:
If n starts at 0 then the first 5 terms are the following,
-6, -5, -4, -3, -2
If n starts at 1 then the first 5 terms are these,
-5, -4, -3, -2, -1
find the interior angle sum for the following polygon.
We know that the interior angle sum of a polygon is (n − 2) × 180°, where n is the number of sides.
Here, number of sides (n) = 12
So, interior angle sum = (n − 2) × 180°
=> interior angle sum = (12 - 2) × 180°
=> interior angle sum = 10 × 180°
=> interior angle sum = 1800°
So, the interior angle sum of this polygon is 1800°.
[tex]x^4+2x^3-2x^2+2x-3=0\\[/tex]
Answer:
x=1
x=-3
Step-by-step explanation:
(x-1)(x^3 + 3x^2 +x +3) = 0
(x-1)( x+3)(x^2 +1)=0
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
what is the answer?
Answer:
6 yards 4 feet 1 inch
Step-by-step explanation:
First, we have the equation:
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
Now, let's add each:
6 yards
3 feet
13 inches
But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:
6 yards
4 feet
1 inch
There you have it!
Happy learning!
--Applepi101
Answer:
7 yds 1 ft 1 inch
Step-by-step explanation:
4 yards 2 feet 7 inches
+ 2 yards 1 foot 6 inches
------------------------------------------
6 yards 3 feet 13 inches
13 inches is more than 12 inches ( =1 ft) so subtract 12 inches and add 1 ft
6 yards 3 feet 13 inches
=1 ft - 12 inches
-----------------------------------------
6 yds 4 ft 1 inches
4 ft is more than 3f which is 1 yd ( subtract 3 ft and add 1 yd)
6 yds 4 ft 1 inches
+1 yd - 3ft
------------------------
7 yds 1 ft 1 inch
Instructions: Find the missing side. Round your answer to the nearest
tenth.
16
51°
х
II
Answer:
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x Multiply both sides by x
x * Tan(51) = 16 Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.96
Answer:
12.9
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x
Multiply both sides by x
x * Tan(51) = 16
Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.9
Solve the equation for all values of x.
-x(x – 8)(x^2+25) = 0
Answer:
0, 8, 5i, -51
Step-by-step explanation:
Just calculate algebraically. Let me know if you need a more elaborate explanation.
It takes four or three hours to get a pair of socks and seven hours to get a pair of clothes as he spends 89 hours kidding a total of 15 pairs of socks and gloves how many pairs of each does she kinit?
Answer:
Gloves = 11 pairs
Socks = 4 pairs
Step-by-step explanation:
Given that :
Time taken to knit pair of socks = 3 hours
Time taken to knit pair of gloves = 7 hours
Total time taken to knit 15 pairs of gloves and socks = 89 hours
Let :
number of socks = x and number of gloves = y
x + y = 15 - - - - (1)
3x + 7y = 89 - - - (2)
From (1):
x = 15 - y
Put x = 15 - y in (2)
3(15 - y) + 7y = 89
45 - 3y + 7y = 89
45 + 4y = 89
4y = 89 - 45
4y = 44
y = 44/4
y = 11
From :
x = 15 - y
x = 15 - 11
x = 4
Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°
Answer:
here's the answer to your question
Answer:
D) 40
Step-by-step explanation:
To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.
Question 4 (Essay Worth 10 points)
(05.06 MC)
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 7 at increments of 1, and the scale on the y-axis is shown from 0 to 24 at increments of 4. The graph has 3 straight lines. The first line is labeled A and joins ordered pairs 0, 0 and 2, 16. The second line is labeled B and joins ordered pairs 2, 16 and 4, 16. The third line is labeled C and joins ordered pairs 4, 16 and 6, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Source
StylesFormat
The motion of the ant is a nonlinear graph;
It has its increasing segment at segment A, the constant segment at B and the decreasing segment at C.
THE TYPE OF GRAPH
The graph has 3 different straight lines, all of which point to different directions.
For a graph to be linear, such graph must have just 1 straight line. This means that the graph is nonlinear.
THE SEGMENTS OF THE GRAPH
The increasing segment of the graph is the segment that points in the upward direction.
In the attached graph, line segment A [i.e. from (0,0) to (2,16)] represents an upward movement of the ant because it points upward.
The decreasing segment of the graph is the segment that points in the downward direction.
In the attached graph, line segment C [i.e. from (4,16) to (6,0)] represents a downward movement of the ant because it points downward.
The constant segment of the graph is the segment that is represented by a horizontal line
In the attached graph, line segment B [i.e from (2,16) to (4,16)] represents the constant segment.
THE MOTION OF THE GRAPH
The ant travels at a constant speed through segment A. It then rests for 2 seconds in segment B and finally travels at a constant speed through segment C.
Learn more about graphs at:
https://brainly.com/question/9348683
Answer: got 100% on test
Step-by-step explanation:
Part A: This graph is not a linear function, because a linear function is a function whose graph is represented by a straight line and this graph does not represent a straight line. Which means it is a nonlinear function, because a non-linear function is any function that is not a linear function.
Part B: In line segment A the graph is increasing. In line segment B the graph is remaining constant. In line segment C the graph is decreasing.
Part C: The ant ran 16 cm up the hill in 2 seconds. It took 2 seconds to find his hole after that, then he ran all the way down his hole in 2 seconds.
find the missing side of triangle
Using Pythagoras Theorem
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{H^2-P^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{29^2-21^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{841-441}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{400}[/tex]
[tex]\\ \sf\longmapsto B=20[/tex]
Jenny asked 12 students how many courses they have taken so far at her college. Here is the list of answers.
16, 7, 21, 14, 9, 11, 22, 19, 17, 12, 5, 25
What is the percentage of these students who have taken fewer than 21 courses?
Answer: 75%
Step-by-step explanation:
Only 9 students have taken fewer than 21 courses
9/12 = 0.75 or 75%
10x2y+40x2−2xy3−8xy2 factories this expression
Answer:
2(10y + 40 -11xy)
Step-by-step explanation:
First, multiply the expression
20y +80 -6xy - 16xy
Then collect like terms
20y + 80- 22xy
And then lastly factories the expression
2( 10y + 40- 11xy )
Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.
Answer:
The third exterior angle is [tex]103^o[/tex]
Step-by-step explanation:
Given
[tex]\theta = 158^o[/tex]
[tex]\alpha = 99^o[/tex]
Required
The third exterior angle [tex](\beta)[/tex]
The exterior angles of a triangle add up to 360 degrees.
So:
[tex]\theta + \alpha + \beta = 360^o[/tex]
Make [tex]\beta[/tex] the subject
[tex]\beta = 360^o - (\theta + \alpha)[/tex]
Substitute known values
[tex]\beta = 360^o - (158^o + 99^o)[/tex]
[tex]\beta = 103^o[/tex]
What is the interquartile range of this data set? 1,5,12,14,29,45,48,61,72,84,96
Answer:
60
Step-by-step explanation:
Q1 = 12
Q3 = 72
the interquartile range = Q3-Q1 = 72-12 =60
Answer quick plsssssssssss thx
Answer:
I think Substitution
Step-by-step explanation:
Because x is already solved for in the second equation.
Which equation relates the population (P) in millions to the time that has passed (T) if the growth rate is 4% per year and the starting
population is 10 million people?
(1) P = 10(0.96)^T
(2) P = 10(1.04)^T
(3) P = 10 + 10(0.04)^T
(4) P = 10(1.4)^T
Answer:
Step-by-step explanation:
The model for exponential growth/decay is
[tex]P(t)=a(b)^t[/tex] where a is the initial population and b is the growth/decay rate. Filling in the info you were given:
[tex]P(t)=10(1.04)^t[/tex]
Because this is a growth rate, we have 100% of the population and that population is growing by 4%, which is .04 in decimal form. If the population is not declining, we are adding to the 100% of the population we already have. That's why the growth rate is 1.04.
.96 means that the population is declining at 4% each year; and 1.4 means that the population is growing at 140% instead of the 104% that it is.
A hot air balloon is flying at an altitude of 2926 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 25°
25
°
, how far is the house from the pilot? Round to the nearest tenth.(1 point)
Choices:
The house is 1236.6 feet from the pilot.
The house is 6274.8 feet from the pilot.
The house is 3228.5 feet from the pilot.
The house is 6923.5 feet from the pilot.
Answer:
The house is 6274.8 feet from the pilot.
Step-by-step explanation:
what is 5 divided by 20.9
Answer:
0.23923444976
what is the simplified form of this expression 3x+4+5x+3
1. 7x+8
2. 15x
3. 8x+7
Step-by-step explanation:
3x+5x+4+3
=8x+7
hope it helps
Answer:
6x+7
Step-by-step explanation:
x+4+5x+3
Combine like terms
x+5x +4+4
6x+7
Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no
Answer:
Option B, (39, -59, 43)
Answered by GAUTHMATH
What is the value of a? Round to the nearest tenth.
Answer:
50 percent?
Step-by-step explanation:
Hasib earns 30 cents for every carrot he sells.
He earns an extra $3 for every 30 carrots he
sells. How many carrots must he sell in order to
earn $555?
Answer:
He must sell 1390 carrots
Step-by-step explanation:
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
1387.5
multiply 30 by .3 to get $9 for 30 carrots
Then add $3 to this amount to get $12 dollars.
Divide 555 by 12 to get 46 R3.
Multiply 46 by 30 because its 46 bundles of 30 carrots
Then divide the 3 dollars by .3 for each carrot to get 10 carrots
1380+10 = 1390
Hasib must sell 1390 carrots in order to earn $555.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given information; Hasib earns 30 cents for every carrot he sells. He earns an extra $3 for every 30 carrots he sells.
So, the equation form;
30x + 300x/30 = 55500
40x = 55500
x = 1387.5
Now, multiply 30 by .3 to get $9 for 30 carrots
Then add $3 + 9 = $12 dollars.
Now, Divide 555/ 12 = 46 R3.
46 x 30 = 1380 because its 46 bundles of 30 carrots
For each carrot to get 10 carrots
1380 + 10 = 1390
Therefore, Hasib must sell 1390 carrots in order to earn $555.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Can someone plz help me I need help
Answer:
C'(-1,-2), V'(-2,2), N(2,0)
Step-by-step explanation:
Dilation of (1/2) means multipling (1/2) to every coordinate. C'(-1,-2), V'(-2,2), N(2,0).
Plz solve question 12
Answer: C
Step-by-step explanation:
To solve for 12, we can use eliminate or substituion to solve our system of equations. Let's use elimination method.
[tex]\left \{ {{3f-2k=10} \atop {-3f-2k=14}} \right.[/tex]
Let's add the equations together. This way, 3f+(-3f)=0
[tex]-4k=24[/tex] [divide both sides by -4]
[tex]k=-6[/tex]
Now that we know k, we can plug it into either equation to find f.
[tex]3f-2(-6)=10[/tex] [multiply]
[tex]3f+12=10[/tex] [subtract both sides by 12]
[tex]3f=-2[/tex] [divide both sides by 3]
[tex]f=-\frac{2}{3}[/tex]
Now that we have f and k, we know that C is the correct answer.
instructions find the value of x
Answer:
Given two equal chords. Since the line from the centre is always equal, thus the lines that bisect the two chords are also equal. X=5
