Which is the graph of f(x) = 3x.
Answers
Answer:
Step-by-step explanation:
The
x
-intercepts are
(
0
,
0
)
and
(
3
,
0
)
because
3
x
−
x
2
=
0
factored equals
(
x
)
(
x
−
3
)
=
0
When each of the parenthetical expressions is set equal to zero, you get
x
=
0
and
x
=
3
The vertex is
(
3
2
,
9
4
)
because the
x
-coordinate of the vertex is
x-coord. vertex
=
−
b
2
a
=
−
3
2
(
−
1
)
=
3
2
Then, you plug
3
2
into the equation for
x
and get
f
(
3
2
)
=
3
(
3
2
)
−
(
3
2
)
2
=
9
4
the graph of f(x) = 3x will be a Line.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a equation f(x) = 3x
Comparing with the slope-intercept form of the graph:
We can see the slope of the line will be 3 and since the y-intercept is 0
Since Function f(x) will be a linear equation
Therefore, its graph would be a line.
Learn more about Linear equations here:
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Related Questions
a new school has a teacher to student ratio is 2:15. the school has 42 teachers. how many students are there in the school?
Answers
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
Answer:
315
Step-by-step explanation:
42÷2 = 21
2×21 = 42
So, 15×21 = 315
315÷21 = 15
A line has a slope of -3 and a y-intercept of 3.
6
4 +
3
1
-5 -4 -3 -2 -1
-1,
1
2
3
4 5
Answers
Answer:
y = -3x + 3
Step-by-step explanation:
If ... A line has a slope of -3 and a y-intercept of 3, then the equation of that line is y = mx + b => y = -3x + 3. You don't need the table of values.
Can someone answer 32 points
Answers
Answer:
a= 3/4
Step-by-step explanation:
2/3 x 3/4- 1/6 = 1/3
Which expression should you simplify to find the 90% confidence interval,
given a sample of 64 people with a sample proportion of 0.55?
Answers
Step-by-step explanation:
CI = p ± z √(pq/n)
For 90% confidence, z = 1.645.
CI = 0.55 ± 1.645√(0.55 × 0.45 / 64)
The expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
What is confidence interval?A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.
CI z
0.70 1.04
0.75 1.15
0.80 1.28
0.85 1.44
0.90 1.645
0.92 1.75
0.95 1.96
0.96 2.05
0.98 2.33
0.99 2.58
According to the question
Data of people = 64
Data proportion (P) = 0.55
The 90% confidence interval
therefore, [tex]z_{c}[/tex] = 1.645
CI = P± [tex]z \sqrt{\frac{P ( 1-P}{N} }[/tex]
substituting the value
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
CI = 0.5563
Hence, expression to find the 90% confidence interval is
[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]
To know more about confidence interval here:
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Can anyone help? I will mark you as brainliest!
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
First calculate the area of the field using this equation:
area = (a+b)/2 x h
Substitute the values in:
area = (210 + 190)/2 x 250
area = 50000 m^2
Calculate how many hectares this is:
50000/10000 = 5
This is 5 hectares
Multiply this by the number of kg per hectare
5 x 7200 = 36000
It would produce 36000 kg
Have A Nice Day ❤
Stay Brainly! ヅ
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A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream
Answers
Answer:
t=4h
Steps below
Step-by-step explanation:
We know:
speed of boat with respect to earth: 13 km
speed of stream with respect to earth: 4 km
13 km/h + 4 km/h = 17 km/h The time to travel 68 km with this speed is thus t = 68 km 17 km h = 4 h
Hope this helps.
39 less than the product of a number and 13 is 39
Answers
Answer:
13n - 39 = 39
Step-by-step explanation:
Let the number be n. Then we have 13n - 39 = 39
What do the variables in this problem stand for V=Bh
V=
B=
h=
Please help
Answers
H= Height
V=Volume
B= base
h= height
therefore: volume= base(height)
Help
Please!!!!!!!!!
Answers
Answer:
6 s^9t^3
...............
........................
Evaluate y=(1/5)x
when x=- 3
Answers
Answer:
125y
hope this helps
Answer:
Y = 125
Step-by-step explanation:
Solve –3d + 5 = 14.
–57
12
–27
–3
Answers
Answer:
d = -3
Step-by-step explanation:
–3d + 5 = 14.
Subtract 5 from each side
–3d + 5-5 = 14-5
-3d = 9
Divide each side by -3
-3d/ -3 = 9/-3
d = -3
Answer:
[tex]d = - 3[/tex]
last answer is correct
Step-by-step explanation:
[tex] - 3d + 5 = 14 \\ - 3d = 14 - 5 \\ - 3d = 9 \\ \frac{ - 3d}{ - 3} = \frac{9}{ - 3} \\ d = - 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the perimeter of a regular hexagon with a side of 8 meters
Answers
Answer:
8 x 6 = 48
Step-by-step explanation:
Hexagon = 6 sides
8 x 6 = 48
Answer:
48 meters
Step-by-step explanation:
A regular hexagon has six sides, all six sides are the same length. So you have to add 8 meters six times. Or just multiply 6 by 8. So you get 48 meters.
PLS HELP WITH TRIG NEED TO SHOW ALL WORK
Answers
Answer:
see explanation
Step-by-step explanation:
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
tan C = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{4}{2}[/tex] = 2
Angela and Tyler are selling tickets for a charity football game. Students will get a discount for the game. Angela sells 6 adult ticket and 10 student ticket for $122. Tyler sells 11 adult tickets and 5 student tickets for a total of $157. What is the of an adult ticket and what is the price of a student ticket?
A, Define your varibles and write a system of equations that represents the ticket sales for both Angela and Tyler.
let x=
Let y=
system of equation:
B' Solve system of equation
c' Write answer using a complete sentence.
Answers
Answer:
Step-by-step explanation:
Let’s say that the price of an adult ticket is x and a student ticket is y.
we know that 6 adult tickets (6x) and 10 student tickets (10y) equal 122, so 6x+10y=122. Then, 11x+5y=157
6x+10y=122
11x+5y=157
Multiply the first equation by -1/2 and add it to the second to cancel out the y
8x=96
x=12
Plug this back in to equation 2 to find y
132+5y=157
y=5
Checking this with the first equation, it all works out.
The price of an adult ticket for a charity football game is $12, while the price for a student ticket for the same game is $5
Please I need help with my geometry math assignment with 13C and is Almost soon to due and I been struggling and needing help on it I try my best and don’t work out for me so I will mark your guys brainlist
Answers
Answer: y = 2x + 2
Step-by-step explanation:
To find the slope of a line perpendicular to another line, you take the slope of the other line and flip it (find the negative reciprocal) and make it negative.
In this case, -1/2 would become 2. 2 is now the slope of the line perpendicular to the other line.
Since the line passes through (1, 4), we can plug the point in - the line will be
y = 2x + 2.
Answer:
y=2x+2.
Step-by-step explanation:
Honestly the perpendicular flipping didn't make sense, but somehow google thought so, so ill leave it at this, if you need more help, just message me.
If 3n – 2 = 10, then n = _______.
Answers
Answer:
n = 4
Step-by-step explanation:
[tex]3n-2=10\\3n=10+2\\3n=12\\n=12/3\\n=4[/tex]
I hope I helped you! Please mark me brainiest if I am correct. Thanks!
Answer:
n=4
Step-by-step explanation:
Solve for
theta in the interval 0 ≤ theta≤ 2 pi
cos theta sin theta − 1/2 sin theta=0
Answers
Answer:
< theta international
Which equation in rectangular form describes the parametric equations x=5-3cost and y=4+2sint?
A. (x+5)^2/9+(y+4)^2/4=1
B. (y+4)^2/2-(x+5)^2/3=1
C. (y-4)^2/2-(x-5)^2/3=1
D. (x-5)^2/9+(y-4)^2/4=1
Answers
Answer:
D. (-x+5)^2/9+(y-4)^2/4=1 (I assume there was a mistype)
Step-by-step explanation:
The first step is isolating the sine and cosine functions.
x=5-3cos(t)
x + 3cos(t) = 5
3cos(t) = 5 - x
cos(t) = (5 - x)/3
y=4+2sin(t)
y - 4 = 2sin(t)
(y - 4)/2 = sin(t)
Then, square at both sides of the equal sign
cos²(t) = (5 - x)²/3² = (5 - x)²/9
sin²(t) = (y - 4)²/2² = (y - 4)²/4
Recall the trigonometric identity and replace.
cos²(t) + sin²(t) = 1
(5 - x)²/9 + (y - 4)²/4 = 1
Im not sure about the answer
Answers
Answer:
D. 5:7 and 10:14
Step-by-step explanation:
25:35=5:7
5x2=10
7x2=14
When 240 sixth-grade students were polled, results showed that 96 students were dissatisfied with the music played at the school dance. What percentage of the sixth-grade students does this represent? Use at least 2 strategies.
Answers
Answer:
40%
Step-by-step explanation:
one strategie is doing proportions
96/240= ?/100
simplify 96/240= 2/5
so 2/5=?/100
multiply 100 by 2
then divide it by 5
another strategie is putting it into a decimal and percent
96/240= 2/5
in decimal is 0.40
move the decimal twice to the right and you get 40%
which of the following is equal to the square root of -5
Answers
Answer:
√5 i
Step-by-step explanation:
√-5
√5*√-1
√-1=i
√5*i
√5 i
A recipe needs 4/5 cups of butter for every 2 cups of flour. If you plan to use 3 cups of flour, how much butter will you need?
Answers
Answer:
1 1/5 cups of butter
Step-by-step explanation:
4/5=2
=3
4/5 x 3=12/5
12/5 / 2
12/5 x 1/2=1 1/5
what is the area of a sector created by a circle with a radius of 4cm and a 40 central angle
Answers
Answer:
5.59 cm
Step-by-step explanation:
I had set up a proportion. The proportion is below.
360° 50.27
------- = ----------
40° ? (What you're trying to figure out)
So what I did was 50.27 times 40 which equals: 5.58555556, so I rounded it to 5.59 so that's your answer!
I hope that's helpful :D
gerald accepted a job as jazz pianist after being offered a $425 signing bonus l, if he makes $24 an hour, which equation models gerald's total pay y, in dollars, as it relates to the number of hours x that he works ?
Answers
Answer:
425+24x=y
Step-by-step explanation:
Answer: y=425x + 24
Step-by-step explanation: :PP
Identify the terms and the like terms in this expression.
7 + a – 2 + 3a + b^2
Which statements are true? Check all that apply.
a. The expression contains seven terms.
b. The terms in the expression are 7, a, 2, 3a, b2.
c. Constants are like terms.
d. 2 and b2 are like terms because they both contain the number 2.
e.a and 3a are like terms.
f. a, 3a, and b2 contain variables, so they are like terms.
Answers
Answer:
B, C, E
Step-by-step explanation:
I took the test and I got it right
Answer: B C E
Step-by-step explanation: Edge 2020-WAiT! It’s not 2020 any MORE! Anyways edge 2021
Which equation can be used to find m, the midpoint of the
two numbers?
(m - 5)(m + 5) = 99
(m - 10)(m + 10) = 99
m2 - 25 = -99
m² – 100 = -99
Answers
Answer: D
Step-by-step explanation:
Answer:the correct answer is D
Michel started to drive from New York to Washington, DC, which is 120 miles away, at 7:00 AM. For the first hour and a half of her trip, Michel was driving at a speed of 50 mph. What was her average speed during the second part of the trip, if she reached Washington at 10:00 AM?
Answers
Answer:
30 mph
Step-by-step explanation:
The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.
Answers
Answer:
9x^4 - 6x^3 + 97x2 - 88x + 16
Step-by-step explanation:
so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and
(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.
(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2 - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16
Which of the following is equivalent to 7-2( x + 2) <-4 - 3(1 – x)?
(A) -5 x < -10
(B) - X<-16
(C) -2x <-17
(D) 6x<-9
Answers
pls help will mark as brainliest
Answers
If you plug in the x values, such as 2, into the equation you should get the y value. For example 1/4^2 is 1/16 which matches the table
Answer:
C or [tex]y=\frac{1}{4}^{x}[/tex]
Step-by-step explanation:
when x is 0 y is 1 and every positive number to the zeroth power is 1
so It can be A or C
but the value of y goes down when x goes up so its exponential decay or less than 1 so 1/4<1 So
C or [tex]y=\frac{1}{4}^{x}[/tex]