A vertical parabola has its vertex in the second quadrant and y=ax2+bx is the equation of this parabola. Sketch the line that has equation y=ax+b.
Answers
The vertex of a parabola is the minimum or the maximum point of the parabola.
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
The equation of the parabola is given as:
[tex]\mathbf{y = ax^2 + bx}[/tex]
For the vertex of the parabola to be in the second quadrant, then the following must be true:
a > 0 and b > 0
Take for instance:
a = 2, and b = 1
So, we have:
[tex]\mathbf{y = 2x^2 + 1x}[/tex]
Rewrite as:
[tex]\mathbf{y = 2x^2 + x}[/tex]
Factor out x
[tex]\mathbf{y = x(2x + 1)}[/tex]
So, the line equation is:
[tex]\mathbf{y = 2x + 1}[/tex]
See attachment for the equation of [tex]\mathbf{y = 2x + 1}[/tex]
Read more about parabolas at:
https://brainly.com/question/20333425
Related Questions
Please help i will give brainliest :)
Answers
m = (212-32)/(100-0) = 180/100 = 1.8
We can see that the y intercept is 32, because they give you the point (0, 32).
So y = 1.8x + 32 is the equation in slope intercept form.
PLEASSEE HELP:Dits for khan
What is the constant of proportionality in the equation
y
=
1
2
x
y=
2
1
xy, equals, start fraction, 1, divided by, 2, end fraction, x?
Answers
The constant of proportionality in the equation y=1/2x
is 1/2
The direct proportionality between x and y is established by :
y α x
α = proportionality symbol
y = kx - - - (1)
Where;
y and x are the variables
k = proportionality constant
Comparing (1) with the equation given : y=1/2x y=kx
The value of k aligns with 1/2 in the given equation.
Therefore, the constant of proportionality, k in the equation is 1/2
Answer:
yo yo yo! here to help :) answer is 1/2
Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?
243/15
11
-15/243
33
Answers
From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.
The average rate of change of a function p(x) over an interval [a,b] is given by:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].
The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].
Hence:
[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]
[tex]A = \frac{204 - 39}{20 - 5}[/tex]
[tex]A = 11[/tex]
The average daily change in the share price from d = 5 to d = 20 is of 11.
A similar problem is given at https://brainly.com/question/20732437
15 points for anwser
Determine whether each expression is equivalent to x^(7/4).
Expression Yes No
√(7&x^4 )
∜(x^7 )
(∜x)^7
√(x^(7/4) )
∜(x^5 )∙∜(x^2 )
√(5&x^4 )∙√(2&x^4 )
(∜x)^7/(√x)^0
Help.
Answers
Answer:
Step-by-step explanation:
what is halfway between 140,000 and 150,000
Answers
Answer:
145000
Step-by-step explanation:
(150000-140000)÷2=10000÷2
=5000
140000+5000=145000
Answer:
145,000
Step-by-step explanation:
To find halfway between two numbers is the same as finding the mean of two numbers.
140,000+150,000=290,000
290,000/2
=145,000
Hope this helps :)
All of the following are equivalent, except _____.
3x
2x 2
x(2 + 1)
2x + x
Answers
When there are two variables (letters) you combine them by adding
help me pls thankyouuuuuuu
Answers
hope it helps. ...........
How much profit will a store make on the sale of a flat screen TV that is marked up by 30% and then sold at a 20% discount if the original price of the TV is $1500?
Answers
The flat screen TV that is marked up by 30% and 20% discount had a profit of $60 after being sold.
The mark up percentage is given by:
Mark up percentage = (selling price - cost price)/cost price
Since the original price is $1500, hence:
30% = (selling price - 1500)/1500
0.3 = (selling price - 1500)/1500
(selling price - 1500) = 450
Selling price = $1950
It was again sold at a discount of 20%:
Final selling price= 1950 - 20% of 1950 = 1560
Profit = 1560 - 1500 = $60
Hence $60 profit was made by the store for the sale of a flat screen TV.
Find out more at: https://brainly.com/question/15699405
Please help!
(at the start it says "Albert's mom bought" but it was accidentally cropped out...sorry)
Answers
Answer:
Option D
Step-by-step explanation:
We convert 5 2/3 into an improper one:
17/3
There are 5 people in his family
17/3 * 1/5 = 17/15
So option D
For reviewing purposes.
Answers
Answer:
88
Step-by-step explanation:
9 × 8 + [tex]2^{4}[/tex]
=> PEMDAS
so first exponent 2^{4} = 16
next multiplication
9*8 = 72
=> 72 + 16
=> 88
Let B be the basis of P3 consisting of the Hermite polynomials in Exercise 21, and let p.t / D 7 ! 12t ! 8t 2 C 12t 3. Find the coordinate vector of p relative to B.
Answers
To calculate the relative vector of B we have to:
[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]
The coordenates of:
[tex]p(t)= 12t^3-8t^2-12t+7[/tex], with respect to B satisfy:
[tex]C_1(1)+C_2(2t)+C_3(-2+4t^2)+C_4(-12t+8t^3)= 7-12t-8t^2+12t^3[/tex]
Equating coefficients of like powers of t produces the system of equation:
[tex]\left \{ {C_1-2C_3=7} \atop {2C_2-12C_4=-12} \right. \\\left \{ {{4C_3=-8} \atop {8C_4=12}} \right.[/tex]
After solving this system, we have to:
[tex]C_1=3\\C_2= 3\\C_3= -2\\C_4= \frac{3}{2}[/tex]
And the result is:
[tex]P_B=\left[\begin{array}{ccc}3\\3\\-2\\3/2\end{array}\right][/tex]
Learn more: brainly.com/question/16850761
in which group males or females did a greater percentage use other modes of transport and by how much?
Answers
I think the answers here:-
dp201111.pdf
PLEASE HELP ME WITH THIS QUESTION!!
A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?
Answers
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x
The number directly across from 19 on a military clock is 17.
How to determine the number directly across from 19 on a militaryTo find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.
12 - 19 = -7
Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.
-7 + 24 = 17
Therefore, the number directly across from 19 on a military clock is 17.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ2
Brax has $12.00 to spend at the gift shop. He wants to buy a book for $7.50 and a dinosaur for $3.75. What change will Brax have after he purchases these items?
Answers
you do 7.50+3.75 which gives you 11.25 and you subtract 12.00 which gives you 75 cents :)
How to predict the charge of monatomic ions.
Answers
Answer:
by gaining or losing electrons
Step-by-step explanation:
hope it helped
brainliest pls
At Keller's Bike Rentals, it costs $36 to rent a bike for 7 hours.
How many hours of bike use does a customer get per dollar
Answers
Answer:
I'm sure it's 43 rent a bike cause I'm fat
how would you answer 8 (4 + 2) im confused please help
Answers
what does x equal in 150 = -6(x)^2 + 100x -180
Answers
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x
=
25
+
√
130
3
,
25
−
√
130
3
Decimal Form:
x
=
12.13391808
…
,
4.53274858
…
Step-by-step explanation:
Answer:
x=\frac{25-\sqrt{130}}{3}
Step-by-step explanation:
x_{1,\:2}=\frac{-100\pm \sqrt{100^2-4\left(-6\right)\left(-330\right)}}{2\left(-6\right)}
x_{1,\:2}=\frac{-100\pm \:4\sqrt{130}}{2\left(-6\right)}
x_1=\frac{-100+4\sqrt{130}}{2\left(-6\right)},\:x_2=\frac{-100-4\sqrt{130}}{2\left(-6\right)}
x=\frac{25-\sqrt{130}}{3},\:x=\frac{25+\sqrt{130}}{3}
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
Answers
a^2 + b^2 = c^2
Substitute
a^2 + (5)^2 = (20)^2
Solve for a^2
a^2 = (20)^2 - (5)^2
Solve for a
a = 5 √15
The slope will be rise over run
5/5 √15 = √15/15 or 0.258…
Which equation is correct?
792 × 5 = 700 × 5 + 90 × 5 + 2
792 × 5 = 700 + 90 × 5 + 2 × 5
792 × 5 = 700 × 5 + 90 × 5 + 2 × 5
792 × 5 = 7,000 × 5 + 900 × 5 + 20 × 5
Answers
Answer:
what's the correct number supposed too equal?
Answer:
I don't see a Solution to this equation
write the equation of the line passing through the origin of the coordinate system and is parallel to the line x-2y+3=0
Answers
Answer:
x - 2y = 0
Step-by-step explanation:
The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0, with only the constant (3) being different. Solving this equation for y to find the slope, we get:
x + 3 = 2y, or y = (1/2)x + 3/2. The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2. This result may be rewritten as 2y = x or x - 2y = 0.
help? plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
you're right, d measures 180 degrees
Step-by-step explanation:
the protractor is measuring a straight line and straight lines measure 180 degrees
hope this helps
plz help me plz plz plz
plz
Answers
Answer: 549
Step-by-step explanation:
aidan runs every morning before he goes to work.on Sunday,he ran 0.54km, on Monday he ran 1.25km,on Tuesday he ran 1.50km, on Wednesday he ran 1.75km and on Thursday he ran 2.30km.His goal was to run10km in these five days.dis aidan meet his goal?how long did he run?estimate and find the solution.
Answers
Answer:
no
Step-by-step explanation:
0.54 rounded to the nearest one is 1
1.25 is 1
1.50 is 1
1.75 is 2
2.30 is 2
all that added would give you 7 which is less than 10
the exact number is also 7.34
Ms Castillo took 40 minutes to drive from Town A to Town B at an average speed of 60 miles per hour. (a) Find the distance between A and B. (b) If she increased her speed by 12 mph, how long would she take to travel the same distance?
Answers
Answer:
40 miles, 2000seconds or 33minutes and 20 seconds
Step-by-step explanation:
a. multiple time by miles/hour -> 40*60/60=40 so 40 miles
b. 60+12=72 so her new speed is 72mph. next, to find the time we need to divide distance by 1/mph -> 40* 1/(72/60)=40*60/72=100/3 which is 2000seconds or33minutes and 20 seconds
The sun of 3 less than 5 times a number and the number increased by 9 is 24. What is the number?
Answers
Answer:
the answer is 3
Step-by-step explanation:
5 x - 3 + x + 9 =24
6X + 6 = 24
6X =18
×=3
Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE
Answers
Answer:a
Step-by-step explanation:
i know
f(x) = 3.2 +5 +6
g(x) = 7
Find (f + g)(x).
A. (f+g)(x) = |3x+11| +7
B. (f+g)(x) = |3x+18|
C. (f+g)(x) = |3x+5| + 13
D. (f+g)(x) = |3x| +18
Answers
Answer:
A
Step-by-step explanation:
f (x)=3x+5+6
g (x)=7
(f+g)(x)=|3x+5+6|+7
=|3x+11|+7
(ASAP) i need help plsssssszzz
Answers
Answer:
the first one is right....
Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4
Answers
Answer:
B
Step-by-step explanation:
11/4=2.75
3/4=0.75
5/4=1.25
23/4=5.75
Answer:
3/4
Step-by-step explanation:
Proper fractions are less than 1
3/4 is proper fraction.(Numerator less than denominator)
[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]
