Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?
Answer:
36 boys
Step-by-step explanation:
let x be the number of pupils in the class , then
[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )
3x + 120 = 5x ( subtract 3x from both sides )
120 = 2x ( divide both sides by 2 )
60 = x
Then
number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36
Please HELP ITS DUE LATER TODAY PLZ HELP ILL AWARD BRAINLIST
What is the exact area of shaded region of the circle? Show all work.
Answer:
[tex]A=\frac{513\pi}{8}[/tex]
Step-by-step explanation:
1.Approach
To solve this problem, find the total area of the circle. Then multiply the total area by the fraction of the circle that is shaded.
2.Find the area of the circle
The formula to find the area of a circle is the following,
[tex]A=(\pi)(r^2)[/tex]
Where ([tex]r[/tex]) represents the radius of the circle, that is the distance from the center of the circle to the circumference of the circle (the outer edge). ([tex]\pi[/tex]) represents the numerical value (3.1415..).
Substitute the given values into the formula and solve for the area.
[tex]A=(\pi)(r^2)\\\\A=(\pi)(9^2)\\\\A=(\pi)(81)[/tex]
3.Find the percent of the circle that is shaded
There are a total of (360) degrees in a circle. It is given that (75) degrees are not shaded. To find the fraction of a circle that is shaded, subtract (75) form (360). Then put this value over (360) and simplify.
[tex]360 - 75 = 285[/tex]
Now put this number over (360) to find the fraction of the circle that is shaded.
[tex]\frac{285}{360}[/tex]
[tex]=\frac{19}{24}[/tex]
4.Find the area of the shaded region
Now multiply the total area by the fraction that the shaded region occupies.
[tex](81)(\pi)*(\frac{19}{24})\\\\=\frac{(81)(19)(\pi)}{24}\\\\=\frac{513(\pi)}{8}[/tex]
The area of a rectangle is given as x^2+ 5x+6. Which expression represents either the
length or width of the rectangle?
a) (x-3)
b) (x + 6)
c) (x + 1)
d) (x+3)
Answer:
d) x + 3
Step-by-step explanation:
= x² + 5x + 6
Factorise :-
= x² + 2x + 3x + 6
= x(x + 2) + 3(x + 2)
= (x + 2)(x + 3) [Taking common]
Here we are getting (x + 3) as a factor of x² + 5x + 6 which will be either length or the width
10^ log 2 to the base 10
Answer:
the answer is 2
Step-by-step explanation:
It is like you are taking the antilogarithm of log 2
Answer:
2 is the answer of your question
hope it is helpful to you
Solve for
20 = 5(x + 1)
X =
Answer:
x = 3
Step-by-step explanation:
5(x+1) = 20
x+1 = 20/5
or, x+1 = 4
or, x = 4-1
so, x = 3
What is the simplified value of the expression below?
3(8-4)+2x5.5
31
Оооо
47
i cant do this lollllllll
Answer:
12
Step-by-step explanation:
first, do the question in parenthesis
then do the questions in the exponent
then do the question with division
then do addition part
(7-4)^2 = (3)^2
9/3 = 3
9+3 = 12
Khairul deposited $ 600 in a bank at the end of 2010 and another $ 400 in the same bank at the end of 2011. The bank offers simple interest at a rate of 3% per annum. Find the total amount he has in his bank at the end of 2013.
the answer is 1078 .
(But how )
Answer:
bat puro math pede history lng
Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15
Answer:
this is the answer
Step-by-step explanation:
20:15=20/15=4/3=n
Hence, 1:n=3:4
What is the area? Bit confused on this one.
Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
For the blue one:
A1=length*breadth
=3*3x^2
=9x^2
For pink:
A2=length*breadth
=3*4x
=12x
So the total area is:
A=A1+A2
=9x^2+12x
what is the place value of the 3 in the numeral : 247.3
the place value of 3 in the following is (0.3)
If each dimension of the cylinder is doubled, how many
times larger will the volume of the cylinder be?
Question 13 (1 point)
Hans is jumping on a trampoline. His distance from the ground, in metres, in terms of time, is modelled by the
equation () - 1.5 sm(360s)" + 2. What does the 2 in this equation represent?
Solve
What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)
Answer:[tex]3^1^1\\[/tex]
Step-by-step explanation:
[tex]\frac{81^4}{3^5}[/tex]
[tex]\frac{3^1^6}{3^5}[/tex]
The base is same power can be add or subtract
[tex]3^1^6^-^5[/tex]
[tex]3^1^1[/tex]
Of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange. What fraction of the teacups are either blue or orange?
Answer: 1/6
Step-by-step explanation:
This is a question that has to do with the addition of a fraction. Since we are given the information that of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange.
Then, the fraction of the teacups that are either blue or orange will be calculated as:
= 1/12 + 1/12
= 2/12
= 1/6
Therefore, the fraction of the teacups that are either blue or orange is 1/6.
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
Last year, samantha spent $2,478 for natural gas. This year, she decided to use balance billing. What will her monthly payment be this year?
Answer:
She will need to pay $206.50 per month.
Step-by-step explanation:
Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:
$2,478
---------------- = $206.50/month
12 months
She will need to pay $206.50 per month.
son las partes de las que se compone el reporte de la encuesta:
A)lnicio, desarrollo y fin.
B) lntroduccion, desarrollo y conclusiones.
C ) Entrada,cuerpo y cierre
D )Ninguno de los anteriores
Answer:
Na dimio reso
Ta pidi yo
Era olvida yo contigo
Step-by-step explanation:
there's no explanation
Can someone please help I need the answer ASAP
do you have a clearer picture please? I can help :))
Hiiioo! Can someone please help me out! :)❤️
Answer:
-2/3
3/2
Step-by-step explanation:
slope is m in the equation y = m*x+b.
3y=-2x-3
y=-2/3x-1
parallel lines have the same slope, so slope of parallel lines is -2/3
perpendicular lines have negative the inverse
so -(-3/2)=3/2
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.
Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
I need help fast please!!!!
Answer:
f translates right 2 units to get g. sorry about my English
Here are five number cards. 19 13 10 14 22 Two of the five cards are picked at random. Work out the probability that the total of the two numbers is more than 32 + Total marks: 3
Answer:
Here are five number cards.
19
13
10
14
22
Two of the five cards are picked at random.
Work out the probability that the total of the two numbers is more than 32
+
Total marks: 3
The probability that the total of the two numbers is more than 32 is 2/5.
What is Probability ?Probability is the study of likeliness of an event to happen.
The number cards given are 19 , 13 , 10 , 14 , 22
The Probability when two number cards are drawn then th sum is moire than 32 is ?
Probability = Favourable Outcomes / Total Outcomes
Total outcomes when total cards is 5 and no. of cards drawn is 2
= [tex]\rm ^5C_2[/tex]
= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))
= 10 outcomes
Favourable Outcomes
= ( 19 , 14) (19,22) (13,22)(14,22)
= 4
Probability = 4/10 = 2/5
Therefore the probability that the total of the two numbers is more than 32 is 2/5.
To know more about Probability
https://brainly.com/question/11234923
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Based on your observations, what conclusion can you draw about the lengths of AB DB AE EC
Answer:
The ratio of AD to DB is equal to the ratio of AE to EC. In other words, the pairs of lengths are proportional.
Step-by-step explanation:
Sample answer from plato
Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
Carlos keeps his cards in an album. So far he has lots of full pages plus another 48 cards ready to go in. Altogether, he has more than 500 cards. If each page holds 20 cards, write an inequality that represents how many pages of cards Carlos might have. Solve the inequality. Guys how do i do this, this is hard, pls pls help.
Answer:
x ≥ 22.6 pages
Step-by-step explanation:
Each page = 20 cards
Cards ready to go in = 48
Let x = number of pages of cards Carlos might have
The inequality:
20x + 48 ≥ 500
20x ≥ 500 - 48
20x ≥ 452
x ≥ 452 / 20
x ≥ 22.6 pages
small question will mark brainly “A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. how much is the total?? and please explain
Answer:
Volume of cube = 216
Dimesnions of cuboid = 4 * 6 * x
x = 216 / 24x
x = 9cm
Step-by-step explanation:
Hope this helps... pls vote as brainliest
