9514 1404 393
Answer:
axis of symmetry: x = 2
see below for a graph
Step-by-step explanation:
You can complete the square to put the equation in vertex form.
y = (x^2 -4x +4) -1 -4
y = (x -2)^2 -5 . . . . . . vertex is (2, -5)
The equation of the axis of symmetry is the equation of the vertical line through the vertex:
x = 2 . . . . . axis of symmetry
__
Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.
what is the sum of 3b(b-4) and 6(b-8)
Answer:
This equals [tex]3b^2-6b-48[/tex]
Step-by-step explanation:
Reeva’s family budget is shown. She works 165 hours each month. With the given information, what is the minimum hourly wage she would need to earn to cover her monthly expenses?
Answer:
12.26
Step-by-step explanation:
To solve, you need to add her expenses of everything to get 2024.08. You know she works 165 hours each month, so you need to divide the 2024.08 total expenses by 165 to get her minimum hourly wage. 2024.08/165 = 12.267151515
Answer:
12.27
Step-by-step explanation:
Which expression is equivalent to 3(6m) + m?
a. 19m
b. 21m
c. 7m + 3
d. 18m + 6m
Answer: D
Step-by-step explanation: i did the quiz on it and it was D
Answer:
Choice A
Step-by-step explanation:
Multiply 3 and 6m to receive a product of 18m. Then add another m to the 18m. The answer is 19m, or Choice A.
1.02 sinusoidal graphs
WHAT IS THE MAXIMUM OF THE SINUSOIDAL FUNCTION?
Enter your answer in the box.
___
Answer:
[tex]\displaystyle -2[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = 2cos\:(\frac{4}{13}\pi{x} - \frac{\pi}{2}) - 4} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{1\frac{5}{8}} \hookrightarrow \frac{\frac{\pi}{2}}{\frac{4}{13}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\frac{1}{2}} \hookrightarrow \frac{2}{\frac{4}{13}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle \boxed{y = 2sin\:\frac{4}{13}\pi{x} - 4} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -4 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\frac{1}{2}} \hookrightarrow \frac{2}{\frac{4}{13}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:\frac{4}{13}\pi{x} - 4,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is approximately shifted [tex]\displaystyle 1\frac{5}{8}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle 1\frac{5}{8}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{1\frac{5}{8}} = \frac{\frac{\pi}{2}}{\frac{4}{13}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(\frac{4}{13}\pi{x} - \frac{\pi}{2}) - 4.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph approximately hits [tex]\displaystyle [-6\frac{1}{2}, -4],[/tex]from there to the y-intercept of [tex]\displaystyle [0, -4],[/tex]they are obviously approximately [tex]\displaystyle 6\frac{1}{2}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6\frac{1}{2}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -4,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**Now, the maximum value is the highest possible value the graph touches, and in this case, the graph's highest peaks cycle around [tex]\displaystyle y = -2,[/tex]therefore the maximum of this sinusoidal function is [tex]\displaystyle -2.[/tex]
I am delighted to assist you at any time.
RS and RT are tangents to the circle center o. Angle SRT=40 degrees. What is the size of angle SUT
Answer: is c (70 degrees) I hope it helps anyone.
Step-by-step explanation:
RS is a tangent ⇒ ∠OSR = 90°
RT is a tangent ⇒ ∠OTR = 90°
OSRT is a quadrilateral, so has an angle sum of 360°
⇒ ∠OSR + ∠SRT + ∠OTR + ∠SOT = 360°
⇒ 90° + 40° + 90° + ∠SOT = 360°
⇒ 220° + ∠SOT = 360°
⇒ ∠SOT = 140°
Now use the Angle at the Center Theorem
∠SUT = ½ × ∠SOT = ½ × 140° = 70°
Stan started soccer practice at 6:00 pm. Practice lasted for 1 hour and 55 minutes. What time was practice over?
A. 8:55 pm
B. 07:55 pm
C. 07:45 pm
D. 06:55 pm
simplify 6 radical 27
PLEASEEE HELPPP :((((
Answer:
1. 15
2. -30
3. -67
4. 28
Your welcome :)
Step-by-step explanation:
Answer:
15 degrees above zero = 15
30 degrees below zero = -30
67 degrees below zero = -67
28 degrees above zero = 28
Step-by-step explanation:
HOPE THIS HELPS!
2 medical plans. Plan 1 employee pays 10% of all medical bills. Plan 2 employee pays one time payment of $150 then employee pays 5% of all medical bills. What total medical bill would result in the employee paying the same amount with the 2 plans?
Answer:
$3000
Step-by-step explanation:
The computation of the total medical bill is shown below:
Let us assume the total medical bill be $x
For plan 1,
As he pays 10% of x, So 10% of x - (1)
For plan 2 ,
As he pays 5% of x + 150, that is 0.05 of x + 150 - (2)
Now equate both the equations
0.10x = 0.05x + 150
0.05x=150
x = $3000
Total medical bill = $ 3000
10x10x10x10x10 as an exponent?
Help ASAP!!!
Answer:
10^5
Step-by-step explanation:
Answer:
10 to the power of 5
Step-by-step explanation:
It is 10 to the power of five because the number you are multiplying is 10 and there are 5 tens so you are multiplying it 5 times so 5 is your exponent.
hope this made sense
brainiest is appreciated!
have a wonderful day!
In the Special Right Triangle below, solve for the value of y. Y = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
Step-by-step explanation:
y=6x
Find the values for x, y, and z.
Answer:
X = 65
Y = 55
Z = 25
The number a 102 is about 8 times greater than bx 103.
Find the correct value of a and b.
?
What are the resulting coordinates of triangle A′B′C′ after reflecting triangle ABC across the origin if the vertices of triangle ABC are A(2, 6), B(–4,–7), and C(5, –4)?
Question 8 options:
A)
A′(2, –6), B′(–4,7), C′(5, 4)
B)
A′(6, 2), B′(–7,–4), C′(–4, –5)
C)
A′(–2, –6), B′(4,7), C′(–5, 4)
D)
A′(–2, 6), B′(4,–7), C′(–5, –4)
Answer:
C
Step-by-step explanation:
When reflecting across the origin, negetives become positives and positives become negetives.
Hope that helps!
The coordinates of the new triangle after reflecting triangle ABC across the origin will be - A' (-2, -6), B'(4, 7) and C'(-5, -4).
We have a triangle ABC with coordinates A (2, 6), B(-4, -7) and C(5, -4)
We have to find the coordinates of the resulting triangle if the triangle ABC is reflected across the origin.
A point P(x, y) is reflected across the origin O(0, 0). What will be its new coordinates?A point P (x, y) when reflected across the origin, its new coordinates become - P'( -x, -y).
In the question given to us, we have a triangle with coordinates A (2, 6), B(-4, -7) and C(5, 4).
When this triangle is reflected across the origin, then the new coordinates will be -
A (2, 6) → A' (-2, -6)
B (-4, -7) → B' (4, 7)
C (5, -4) → C' (-5, 4)
Hence, the coordinates of the new triangle after reflecting triangle ABC across the origin will be - A' (-2, -6), B'(4, 7) and C'(-5, -4).
To solve more questions on Reflection of Points, visit the link below -
https://brainly.com/question/938117
#SPJ2
How would you classify the number 121?
Answer:
121 is a rational number, a perfect square.
Step-by-step explanation:
I know its a short answer, but I hope it helps.
Can someone plz help me plzzzz!!!!
Answer:
Co me he re tjyvynoqtu guys
Solve the proportion for the variable.
W/5=49/35
Answer:
7
Step-by-step explanation:
So if w/5 = 49/35, then you can take w/5 and make the denominator 35 by multiplying the top and bottom by 7:
w/5 * 7/7 = 7w/35
So then you have:
7w/35 = 49/35
Which means:
7w = 49
w = 7
If a coin is tossed and a number cube is rolled, find P(heads and 4).
Question 9 options:
A. 1/4
B. 1/6
C. 1/2
D. 1/12
Answer:
For the coin toss it would be 1/2
For the cube it would be 1/6
you would multiply them so you get 1/12
It's D
Why are the triangles congruent?
Answer:
SAS (side angle side)
Step-by-step explanation:
the third one
Answer:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
Step-by-step explanation:
CAN YOU PLS MARK ME BRAINLIEST THX HAVE A NICE DAY!
What is the radius of this circle if the circumference is 18 cm? 3 cm 9 cm 18 cm 36 cm
Answer:
9 cm
Step-by-step explanation:
As the circumference = 2*pi*r, as C = 18 pi cm = 2*pi*r, so r = 9 cm.
After some time, the water evaporates and the pan is 13 full. How much water, in cubic inches, evaporates from the pan?
Answer: 16 inch
Step-by-step explanation:
I believe it’s because when your work it out it gives you 16 inch
how many rows of 1 inch cubes fit in the bottom layer of the carton
Answer:
3
Step-by-step explanation: there is 3 lolllllllllllllllllllllllllllllllllllllll
I need this ASAP please
Answer:
m>2 is the correct answer
Answer:
m > 2
Step-by-step explanation:
The arrow is pointing to the right, so m must be larger than 2. When the 'alligator mouth' is pointing to m, that means m is a higher number. It is the > symbol instead of ≥ because the circle is NOT filled in, so therefore NOT equal to or more than.
The answer is number 2 , or
m > 2
Find the length of AC
I NEED HELP PLEASE I NEED TO TURN IT IN
Answer: 63
Step-by-step explanation:
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Two fathers and two sons enter a movie theater and pat ten dollars each. The ticket seller takes $30. What happened to the rest of the money?
Answer:
they wont have any left
Step-by-step explanation:
think about grandfather, father, and son.
Find the missing length of the triangle last one
The final answer:
c=29
Step-by-step explanation:
(21^2+20^2)
(441+400)
[tex]\sqrt{841}[/tex]
= 29
Can someone please help me
Answer:
-11, -5, -23, 7
Step-by-step explanation:
plug in the h value into equation
-2(2)-7
-11
-2(-1)-7
-5
-2(8)-7
-23
-2(-7)-7
7
Ling's graduation picnic will cost $6 if it has 3 attendees. If there are 4 attendees, how much will Ling's graduation picnic cost? Solve using unit rates.
Answer:
I think it will cost $8 in total sorry if wrong
Answer:
$8
Step-by-step explanation:
The cost of 3 attendees is $6. This means that it costs $2 per person to attend.
Therefore, the unit rate is $2/1.
To find the cost of 4 attendees, multiply the unit rate by 4.
$2/1 × 4 = $8
Hope that helps.
Please help me as soon as you can, thank you :') I will mark brainly who ever gets it right !!
Question 4 What happens when the player performs the trial (rolling two dice) N times? Perform the trial by using the "Dice Roller" In this simulator e. Perform the simulation N times for these values of N: 5, 10, 20, and 50. In this simulation, you will roll two dice (or, strictly speaking, click the button that simulates the roll), write down the numbers shown on the faces (a pair of numbers obtained on each roll is a outcome), and calculate the product of the two numbers for each roll.
Answer:
1,3,6,12
0.20, 0.30,0.30,0.40
Step-by-step explanation: