6.
Identify the axis of symmetry of the parabola.
A. y = 1
B. x = 1
C. y = −1
D. x = −1
Answers
Answer:
D. x = −1
Step-by-step explanation:
In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.
Related Questions
There are 14 girls and 15 boys in a sixth grade math class. What is the ratio of girls to total students?
Answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Answers
Answer:
f^-1(x) = [ln (x + 4)]/2
Step-by-step explanation:
f(x) = e^(2x) - 4
y = e^(2x) - 4
x = e^(2y) - 4
x + 4 = e^(2y)
ln (x + 4) = ln (e^(2y))
ln (x + 4) = 2y
y = [ln (x + 4)]/2
f^-1(x) = [ln (x + 4)]/2
Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is bordered by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?
Answers
Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.
Recall:
Alternate angles are congruent and have equal angle measures.Angles on a straight-line = 180 degrees.The diagram showing the information and sketch of the Highland Park is attached below (see attachment).
Thus:
m<BAC = 36° (given)
m<BCE = 60° (given)
<ACD = <BAC (alternate angles)
Therefore,m<ACD = 36°
m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)
Substitutem<ACB = 180° - (36° + 60°)
m<ACB = 84°
Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.
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A small town has two local high schools. High School A currently has 250 students and is projected to grow by 50 students each year. High School B currently has 450 students and is projected to grow by 25 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Graph each function and determine after how many years, t, the number of students in both high schools would be the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
students
students per year
years
years of student
Answers
Answer:
in 8 years both school will have 650 students
Step-by-step explanation:
HS A (t) = 250+50t
HSB (t) = 450+25t
250 + 50t = 450 + 25t
25t=200
t=8
in 8 years
to graph this:
HSA points (0,250) (2, 350) (4, 450) (8, 650)(10, 750)
HSB points (0, 450) ( 2, 500) (4, 550) (8, 650) (10, 700)
when you graph then you will notice they intercept at 8, which gives you 650 students
I need some help math
Answers
Answer:
ok I will help you please wait for some time
Answer:
23
Step-by-step explanation:
Add the total number of hours in the given situation
what is equation of the line shown in this graph
Answers
Since this is a horizontal line, the equation for this is simply
[tex]y = -3[/tex]
When you have > or <, the solutions are only in the shaded area.
True
or
False
Answers
Answer: True
Step-by-step explanation: Because the solutions can not land on the dotted lines.
you’ll live 100 more years if you help me answer 1 through 5 :D!!!
Answers
Answer:
You need to give me a thanks and brainliest: 1. = 16 ; 2. = 100 ; 3. = 64; 4. = 604; 5. Cant see the problem in the screen shot.
Step-by-step explanation:
5^-x = 6
Help ASAP
STEPS MUST.
Answers
We have to Find:
The value of x[tex] \sf \longmapsto5^{ - x }= 6[/tex]
Let's start.
Take Logarithm of both sides[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]
Solving Further[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]
[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]
Take the minus from (-x) and put in on log(6)[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]
Done
Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14 please help me
Answers
To find the area of a cylinder, we multiply the area of the base times it’s height. For a cylinder the base is a circle so we use
pi r^2 to find it. In this problem the radius or r = 4 so the area of the base equals 16 pi. The height is 8. So we multiply these two to get the answer of 128 pi
Find Y if f(x)=g(x),please help me to answer this problem.
Answers
If f(x) = g(x)
Then :
(x-4)/(x²+1) = (x² - 4) / (x²+ 1)
We can simplify on both sides by x² + 1 :
x - 4 = x² - 4
x = x²
x - x² = 0
x(1-x) = 0
So either x = 0, or x = 1
S = {0,1}
Good Luck
Answer:
Step-by-step explanation:
( x , y )
( 0 , - 4 )
( 1 , - 1.5 )
[tex]y_{1}[/tex] = - 4
[tex]y_{2}[/tex] = - 1.5
A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?
Answers
There are 1000 cm cubes in one litre
30000/1000 = 30 litres
So 300 x 30
9000 taka
Answer:
Step-by-step explanation:
The volume of the tank= (50x30X20) cm^3
= 30000cm^3
= 30 l
1 l costs 300 tk
therefore 30 l costs= 30X300 taka
= 90000 taka
Evaluate - (3 ^ - 5) * (3 ^ 3)
Answers
Answer:
1 / 3^2 = 1/9
Step-by-step explanation:
3^-5 = 1/3^5
(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2
The value of the given expression is 1/9 .
Given,
[tex](3^{-5}) (3^{3} )[/tex]
According to the power rule,
[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]
Now,
[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]
[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]
[tex](3^{-5}) (3^{2} ) = 1/9[/tex]
Thus with the power rule answer will be 1/9.
Learn more about power rule,
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please help me i really need it and NOOOO BOTS
Answers
For questions 3 - 6, find F'(x), the inverse of F(x).
3. F(x) = x-10
4. F (x) = x/6 + 3
5. F(x) = 3x + 7
6. F(x) = 8x
Answers
Answer:
3) f'(x) = x + 10
4) f'(x) = 6x - 18
5) [tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]
6) f'(x) = ⅛x or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]
Step-by-step explanation:
3. f(x) = x - 10Step 1: In order to find the inverse function of f(x) = x - 10, start by replacing f(x) with y.
y = x - 10
Step 2: Switch x and y:
x = y - 10
Step 3: Add 10 to both sides to isolate y:
x + 10 = y - 10 + 10
x + 10 = y
Step 4: Replace y with f'(x):
f'(x) = x + 10 ⇒ This is the inverse function of f(x).
4. [tex]\displaystyle\mathsf{f(x)=\:\frac{x}{6}\:+\:3}[/tex]Replace f(x) with y:
[tex]\displaystyle\mathsf{y=\:\frac{x}{6}\:+\:3}[/tex]Switch x and y:
[tex]\displaystyle\mathsf{x=\:\frac{y}{6}\:+\:3}[/tex]Subtract 3 from both sides:
[tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}\:+\:3-3}[/tex][tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}}[/tex]Multiply both sides by 6 to isolate y:
[tex]\displaystyle\mathsf{6(x-3)=\:\frac{y}{6}(6)}[/tex]6x - 18 = y
Replace y with f'(x):
f'(x) = 6x - 18 ⇒ This is the inverse function of f(x).
5. f(x) = 3x + 7Replace f(x) with y:
y = 3x + 7
Switch x and y:
x = 3y + 7
Subtract 7 from both sides:
x - 7 = 3y + 7 - 7
x - 7 = 3y
Multiply both sides by ⅓:
⅓(x - 7) = 3y (⅓)
[tex]\displaystyle\mathsf{\frac{1}{3}x-\frac{7}{3}=y}[/tex]
Replace y with f'(x):
[tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex] ⇒ This is the inverse function of f(x).
6. f(x) = 8x
Replace f(x) with y:
y = 8x
Switch x and y:
x = 8y
Multiply both sides by ⅛:
⅛(x) = ⅛(8y)
⅛x = y or [tex]\displaystyle\mathsf{\frac{x}{8}=y}[/tex]
Replace y with f'(x):
f'(x) = ⅛x or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex] ⇒ This is the inverse function of f(x).
A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.
Answers
Answer:
volume=300m3
length=5m
width=300cm=300/100=3m
To find: height of tank .
so,
volume=l×b×h
300=5×3×h
300/15=h
finally,h=20m
What is the value of 1027
A. 100
B. 1,000
C. 10,000
D. 100,000
Answers
Answer:
huh? this doesn't even make sense or I'm just tripib
Step-by-step explanation:
-xoxo
x^3-3x^2+x-2/10x^4-14x^3-10x^2+6x-10
Answers
Answer:
The quotient is 10x+16
The remainder is 28x^2+10x+22
how long is the shadow the tree casts?
Answers
Anwser: 12 feet long
nesesito ayuda ..........4c`````````````````````````````````````````````````````z#DRsw
Answers
Answer: ???
Step-by-step explanation:
Latonya swims 50 meters in 1/2 minute. What is the slope
Answers
Answer: 100
Step-by-step explanation: 50 x 1/2=100
Can anybody answer this for me?
Answers
[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]
the length of the house is 1,200 feet and 1,100 feet wide. what is the perimiter
Answers
Answer:
4,600
Step-by-step explanation:
1,200+1,200+1,100+1,100
Will give brainliest
Answers
Answer:
down - up +
Step-by-step explanation:
Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?
Answers
Answer:
24
Step-by-step explanation:
4x6=12or 2x6=12so then 12+12=24
Answer:
6 songs per hour, so multiply that with the number asked which is four
so four times six is24
so she can play 24 songs in four hours!
~ ...
~ !
~ !
Convert to an exponential equation.
In 17 = 2.8332
Answers
Answer:
17 = e^2.8332
Step-by-step explanation:
Precalc please help!!
Answers
Answer:
Step-by-step explanation:
Mariam only saves quarters and dimes. She has already saved 13 quarters and 5 dimes. She wants to purchase a book that costs 7.75. Not including the money she already has, what combinations of quarters and dimes could Mariam save so she has exactly enough money to buy the book?
Answers
Answer: 8 Quarters, 20 Dimes
Quarters:
Current/ 13
13x25= 3.25
Dimes:
Current/ 5
5x10= 50 …. 50 cents
Current price: $3.75
Need $4.00
What you need:
Quarters: +8
4 = 100 x2 is 200 …. $2.00
Dimes: + 20
10 = 100 x2 is 200 … $2.00
You accelerate from 5m/s to 60m/s in 11 seconds what is the average acceleration.
Answers
Change in acceleration: 60 - 5 = 55 m/s
Average acceleration = 55 m/s / 11 second = 5 meters per second squared ( m/s^2)
Answer: 5 m/s^2
100 POINTS! show work or i report!
Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?
Answers
Answer:
$4,720
Step-by-step explanation:
$4,000 fridge
$120/1 year
[tex]\frac{120}{1} = \frac{x}{6}[/tex]
120 * 6 = 720
720 / 1 = 720
$720 for 6 years
720 + 4,000 = 4,720
$4,720
Answer:
$4,720
Step-by-step explanation: