Y-INTERCEPT
[tex]y = 5x^2 - 16x + 10[/tex]
The y-intercept is where the equation/curve/parabola cosses the y-axis.
The y-axis is where x = 0. (The x-axis is where y = 0)
To find the y-intercept:
[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]
The y-intercept must be at (0, 10)
X-INTERCEPT (ROOTS/SOLUTIONS)
[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]
We need to use the quadratic formula
The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]
The x-intercepts are at:
[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]
A music concert is selling two types of tickets: VIP tickets and regular tickets. On the
first day, 70 regular
tickets and 25 VIP tickets were
sold raising $7325. On the second day, 40 VIP tickets
and
60 regular tickets
were sold raising $8600.
What is the cost of each type of ticket?
A. VIP tickets cost $
B. Regular tickets cost $
Answer:
A. each VIP ticket costs 125$
B. each Regular ticket costs 60$
Step-by-step explanation:
25A+70B=7325
40A+60B=8600
5A+14B=1465
2A+3B=430
10A+28B=2930
10A+15B=2150
13B=2930-2150=780
B=780/13=60
A=（430-3*60）/2=125
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer:
x is 52°
Step-by-step explanation:
Lines m and d are parrallelBecause of this, we can use the alternate angle rule, which is that alternate angles are equalTherefore, 2x - 20 is equal to 84°Create an equation [tex]2x-20=84[/tex]Add 20 to both sides[tex]2x=104[/tex]Divide both sides by 2[tex]x = 52[/tex]I dont know how to do this please help me now
Answer:
D. (2,5)
Step-by-step explanation:
it's correct go for it
Help with this question
What is the formula of (a+b)² if you give correct answer I will give you brainliest
Answer: You will have to multiply (a+b)×(a+b) . Thus is the formula
Step-by-step explanation: hope it is correct .
Answer:
(a+b)² = a² + 2ab + b²
Step-by-step explanation:
Hello!
This is one of three special binomial products:
(a+b)² = a² + 2ab + b²(a-b)² = a² - 2ab + b²(a+b)(a-b) = a² - b²All you have to do is expand the parenthesis, and this will give you a simple format to follow. This can be used to quickly factor the expanded forms, or quickly multiply the factored forms.
Write the mixed number as an improper fraction 4 1/6
Answer:
25/6
Step-by-step explanation:
Take the number on the left multiply by the denominator and add the numerator which is 4×6+1 =25
Reuse the same denominator which is 6 so 25/6
Work backwards: 25/6 to 4 1/6 (25 divide by 6 is 4 remainder 1 so 4 on the left and 1 as the numerator)
Answer:
25/6
Step-by-step explanation:
put the denominator as it is
7x 3 1/4 Answer fast or not idc i don't even want to do this
434
because 7 times 31 will give u 217 and 217 divided by 4 will give an answer of 434.I hope my answer will help u.
Write the equation of the circle
with center (2,-5) and radius of 4.
*
Answer:
[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]
Step-by-step explanation:
Equation of circle is:
[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \\ [/tex]
Here (h,k) are the coordinates of center and r is radius
(h,k) =(2,-5)
r. = 4
plug in the values of h,k and r
[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]
Answer:
[tex](x-2)^2+(y+5)^2=16[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (2, -5)radius = 4Substitute the given values into the equation:
[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]
[tex]\implies (x-2)^2+(y+5)^2=16[/tex]
Do you know SpongeBob? According to a survey by Nickelodeon TV, 88% of children under 13 in Germany recognized a picture of the cartoon character SpongeBob SquarePants. What is the probability that a randomly chosen German child recognizes SpongeBob?
Answer:
22/25
Step-by-step explanation:
Well, you just convert the 88% into a fraction as probability is in fractions so 88% = 22/25
22/25
Step-by22/25-step explanation:
Find the missing dimension of the triangle.
Area = 30 mm
-
6 mm
b
b=
mm
Answer:
10 mm
Step-by-step explanation:
We know that the formula for a triangle is A= 1/2(b)(h)
Plug in 30mm for the area as shown and 6 for the base= 30=1/2(6)(h)
Solve= 30=3h
Divide each side by 3 to get h by itself. h=10 or b= 10
depends on which one is missing ^^
does anybody know what 2x+5y=9 is
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
z = 180° - 113° = 67°
sum of angles of quadrilateral shape = 360°
y = 360° - ( 67° + 81° + 106° ) = 106°
The diameter of a circle is 22 yards. What is the circle's circumference?
Use 3.14 for .
Will mark brainleest
Answer:
the circumference is 69.08
Step-by-step explanation:
If 22 is the diameter, all u do to find the circumference is multiply the diameter by 3.14.
Answer:
34.54
Step-by-step explanation:
22 is diameter
formula for circumference is radius times pi
2 radius=1 diameter
22/2=11
11*3.14=34.54
A car traveled 120 miles driving 60 miles per hour. The trip took 2 hours.
If the car traveled 50 miles per hour, how much time would it take to reach the
same destination? Write your answer in hours and minutes.
2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.
7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Hey there!
2 - 4 * 6
= 2 - 24
= -22
Option A.
7 * (5 - 2) + 6
= 7 * 3 + 6
= 21 + 6
= 27
Option A. is incorrect
Option B.
5 + 2 * 7 + 6
= 5 + 14 + 6
= 19 + 6
= 25
Option B. is also incorrect
Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6
= 49 - 6
= 43
Option C. is also incorrect
Option D.
6 - 2 + (7 * 5)
= 6 - 2 + 35
= 4 + 35
= 39
Thus, it seems like NONE of the ABOVE is correct
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
-What does the “Volume” of a geometric figure mean?
Answer:
The volume relates to the space inside a figure a measurement amount can take-up
Step-by-step explanation:
Find the area of the triangle.
Height = 4 ft
Base = 12 1/2 ft
Area = ? square feet
Solve for a side in right triangles
Answer:
The answer is AC = 3.76
Step-by-step explanation:
CohCahToa
Coh: sin(theta) = Opp/Hyp
sin(theta°) = AC/AB
sin(70°) = AC/4
AC = 4*sin(70°)
AC ≈ 3.758770483
AC = 3.76
Answer:
AC = 3.76
Step-by-step explanation:
The opposing side of ∠B needs to be found, where the value of the hypotenuse is given. Take the sin ratio.
sin∠B = AC/4sin70° = AC/40.94 = AC/4AC = 4 x 0.94AC = 3.76Help please!
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that
Its focus is 30 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the
equation of the halfpipe?
A) (0,60); y = 1/240x^2 - 60
B) (0,60); y = 1/240x^2 + 60
C) (0,15); y = 1/60x^2 - 15
D) (0,15); y = 1/69x^2 + 15
Answer: i think the answer should be A,
Step-by-step explanation: I feel like iv done this before sometime ago but i have a feeling its A, hope this helps ^_^
Which operation is equivalent to dividing by 1/5?
A Dividing by 5
B Dividing by 50
C Multiplying by 5
D Multiplying by 5
suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if there are at least four integers between the selected integers?
6. Annie has a cube that has a side length of 9 cm. What is the surface area of the cube?
Answer:
486
Step-by-step explanation:
Surface area means the area of each side added upIn a cube, every side is the samethe area of one side = 9 * 9 = 81, since it is a square (width*height) and width and height are the same. in a cube there are 6 sidesso there are 6 sides with area 8181 * 6 = 486PLEASE HELP PLEASE PLEASE HELP
Answer:
option A Is the answer
Step-by-step explanation:
Quantity of cup used per batch=3/4
No of batches=5/2
Hence number of cups=5/2×3/4
I hope it helped you
the number of gallons of gas were in the tank minus 9 leaves 3 gallons
Answer:
The number of gallons of gas were in the tank minus 9 leves 3 gallons
I don't know that
A computer is used to generate passwords made up of numbers 0 through 9 and lowercase letters. The computer generates 400 passwords one character at a time.
A uniform probability model is used to predict the first character in the password.
What is the prediction for the number of passwords in which the first character is a vowel?
Round your answer to the nearest whole number.
56 passwords
77 passwords
111 passwords
233 passwords
The prediction for the number of passwords in which the first character is a vowel is 56 passwords.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\[/tex]
Given that the characters that can be used are numbers 0 through 9 and lowercase letters. Therefore, a total of 36 different characters are available.
Since we need to know the passwords made with vowels, therefore, the probability of a password in which the first character will be a, e, i, o, u is (5/36).
Now as the computer produces 400 passwords, therefore, the predicted value can be written as,
[tex]E = np = 400 \times \dfrac{5}{36} = 55.5556 \approx 56[/tex]
Hence, the prediction for the number of passwords in which the first character is a vowel is 56 passwords.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
#SPJ1
what is a pie chart in mathematics
Answer:
A pie chart is a type of graph that represents the data in a circular graph.
Answer:
Brainliest please if this helps!
Please help with math! :)
Answer:
1. (10,-4)
2. 12
3. 108
Step-by-step explanation:
First find the cordinate by seing were the point lands on the graph
sense it is +10 right the x = 10, and it is 4 below the origin making it a negitive 4, so u get (10,-4)
The graph is measured 2 units per box and sence the sides are parallel to the axies you can count each square by 2, giving you the measuers of 12 units.
Now finally, The area of a triangle is A=1/2bh, we arlready have our base, and we just found our hight, so now we just have to plug it in.
A= 1/2 (12) (18)
12*18 = 216
A= 1/2 (216)
A= 108
And we are done!
In the diagram, m ZXYZ = 115° and mZWXY = 45°
Х
Answer:
m∠XWY = 70°
Explanation:
Two opposite interior angle sum up to one exterior angle on a straight line.
============
? + 45° = 115°
? = 115° - 45°
? = 70°
Answer:
The value of angle XWY = 70°
Step-by-step explanation:
=> angle XYZ + angle XYW = 180° { linear pair }
=> angle XYW + 115° = 180°
=> angle XYW = 180° - 115°
=> angle XYW = 65°
Now angle WXY + angle XWY + angle XYW = 180° { sum of angles of a triangle is 180° }
=> 45° + 65° + angle XWY = 180°
=> angle XWY + 110° = 180°
=> angle XWY = 180° - 110°
=> angle XWY = 70°
the aquarium of americas has two new shark tanks. each shark tank holds a total of 1,440 gallons of water. the ratio of sharks to gallons of water in tank 1 is 8 to 120 and the ratio of sharks to gallons of water in tank 2 is 3 to 90
Answer:
144 total # sharks
Step-by-step explanation:
Don't know what it is that you are looking for BUT here is the total number of sharks
1440 / 120 * 8 + 1440 / 90 * 3 =
You mix the letters S,E,M,I,T,R,O,P,I,C,A, and L throughly.Without looking,you draw one letter.Find the probability that you select a vowel.Write your answer in simplest form.
A. 12/5
B. 5/12
C. 1/3
D. 7/12
I need this answer in 5 MINUTES!
Answer:
B. 5/12
Explanation:
Total Letters mixed: {S, E, M, I, T, R, O, P, I, C, A, L} = 12 Letters
There are 5 vowels and they are: 'a', 'e', 'i', ' o', and 'u'
In here the vowels are: E, I, O, I, A = 5 vowels here
So,
probability: number of favourable outcomes/total number of outcomes
probability: 5/12