Answers
Answer:
Step-by-step explanation:
Since, zeros of the relation are 5, 6 and y-intercept is (0, 30).
Therefore, equation of the quadratic relation will be in the form of,
y = a(x - 5)(x - 6)
For (0, 30),
30 = a(0 - 5)(0 - 6)
30 = 30a
a = 1
Therefore, equation will be,
y = (x - 5)(x - 6)
y = x² - 11x + 30
y = x²- 2(5.5)x + (5.5)² - (5.5)² + 30
y = (x - 5.5)²+ 30 - 30.25
y = (x - 5.5)² - 0.25 [Standard form}
b). Vertex → (-4, -7) and passes through a point (-2, 1)
Vertex form or standard equation of the quadratic relation is,
y = a(x - h)² + k
Here, (h, k) is the vertex
Therefore, equation will be,
y = a(x + 4)² - 7
Since, (-2, 1) lies on this relation
1 = a(-2 + 4)² - 7
a(2)²- 7 = 1
4a = 8
a = 2
Equation will be,
y = 2(x + 4)²- 7
Related Questions
What is the answer 30 points to who ever finishes.
Answers
Answer:
the answer to what?
Step-by-step explanation:
theres no file attached, i think u forgot...
25. Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy?
26. A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?
Please help with steps
Answers
g(x)=-|x| ; find g(-4)
Answers
Answer:
-4
Step-by-step explanation:
Plug in -4 for x, so the absolute value of -4 is 4. However, there's a minus sign out in front still, so it gets tacked on to the 4. So, g(-4)=-4
If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?
A. 1 1/4 miles
B. 1 2/4 miles
C. 1 3/4 miles
D. 2 miles
Answers
Answer:
the answer would be c
Step-by-step explanation:
the answer is 1 3/4
Danny has at least $15 more than his big brother. Danny's brother has 72. How much money does Danny have?
Answers
Answer:
d >= $87
Step-by-step explanation:
Since we are not given the exact difference between the amount of money that Danny has in comparison to his brother, then this would ultimately be an inequality question. We are told that Danny has atleast $15 more than his brother, meaning that the minimum that Danny can have is $15 more than his brother. Danny's brother has $72 so we need to add these two values together.
$72 + $15 = $87
Therefore Danny would have a minimum of $87 but at the same time can have more than that. Therefore, we can use the following inequality to represent Danny's money (d)
d >= $87
Which line is congruent to which
Answers
Answer:
QO and QN
Step-by-step explanation:
The little lines mean they’re congruent. The arrows tell you PO and MN are paralle. The curved line means the angles are congruent.
Hope that helped!
y=3x+3 y=−2x+3 how many solutions does the system have
Answers
Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
-----------------------------------------------------------------------------------------------------------
To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
-----------------------------------------------------------------------------------------------------------
These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
QUESTION ATTACHED (on inverse proportion)
Answers
Answer:
this is the answer :) good luck
Answer: This is not my work! Don't report me!
Step-by-step explanation:
I don't really understand this but I found a similar question that was answered and that answer is expert verified. I hope its correct and it helps you!
In ΔFGH, h = 9.6 inches, f = 2.5 inches and ∠G=78°. Find the length of g, to the nearest 10th of an inch.
Answers
Answer:9.4
Step-by-step explanation:
Answer: 9.4
Step-by-step explanation:
S.A.S.→Law of Cosines
a^2=b^2+c^2-2bc\cos A
g^2 = 9.6^2+2.5^2-2(9.6)(2.5)\cos 78
g^2 = 92.16+6.25-2(9.6)(2.5)(0.207912)
g^2 = 92.16+6.25-9.97976
g^2 = 88.43024
g=√88.43024 ≈9.404≈9.4
Calculate the pressure
300 Newtons ÷ 5 meters²
Answers
Answer:
60 pascals
Step-by-step explanation:
Answer:
60
Hope it helps
Please mark me as the brainliest
Thank you
ALGEBRICAL EXPRESSIONS
SIMPLIFY
(7x+8y)² - (7x-8y)²
Answers
Step-by-step explanation:
hope it helps you
mark me as brainliest
HELP PLZ FAST!!!!!! 100 POINTS PLZ HELP!!!!!!
An equivalent ratio to the tape diagram shown is __ to __.
Chose A: 8, 9, 7
Chose B: 20, 16, 17
Answers
Answer:
A. 8B. 16Step-by-step explanation:
The ratio as per diagram:
2 to 4Equivalent ratio from the options is:
8 to 16There are no matches for 9, 7, 20, 17
Answer:
Equivlent ratio is 8:16
Step-by-step explanation:
8:16 can be further simplified into 2:4 but 8:16 is correct choice.
need help on this question
Answers
Which of the following choices is the definition for a "variable"? *
Answers
Answer:
a symbol, usually a letter, used to represent a number in mathematical expressions or sentences
Step-by-step explanation:
Hope it helps
Answer:
4) choice 2, "a symbol, usually ......."
5) choice 1, "one variable equals ...."
Step-by-step explanation:
a term is either a single number or variable, or the product of several numbers or variables.
what is -2/3 times -12. This questions is related to converting slope point form into slope intercept form.
Answers
Answer:
-2/3 times -12=8
Step-by-step explanation:
2y-5=4y
what is y? really stuck
Answers
Answer:
y = - 5/2
Step-by-step explanation:
Use the number line to show and explain why 4/10 ÷ 2 and 4/10 × 1/2 both equal 2/10
Answers
Step-by-step explanation:
When you divide by a number, you basically are multiplying by the reciprocal
The reciprocal of 2 is 1/2
4/10 ÷ 2 = 4/10 × 1/2 = 2/10
4/10 × 1/2 = 2/10
Using a number line,
Start at 4/10 and move down by 2 until you reach 0
Start at 4/10 and move up by 1/2 from 0 until you reach 4/10
(Count the number of humps)
Both will be the same
Use the figure below to solve for the value of x.
Answers
Given:
A figure of a right triangle and an altitude form the right angle vertex to hypotenuse.
To find:
The value of x.
Solution:
From the given figure, it is clear that the altitude divides the hypotenuse in two segments x and 8.
Length of altitude = 18
If an altitude divide the hypotenuse in 2 segments, then according to the geometric mean theorem, the length of the altitude is the geometric mean of two segments of hypotenuse.
By using geometric mean theorem, we get
[tex]18=\sqrt{x\times 8}[/tex] [tex][\because \text{Geometric mean of }a,b,c:b=\sqrt{ac}][/tex]
[tex]18^2=8x[/tex]
[tex]324=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{324}{8}=x[/tex]
[tex]40.5=x[/tex]
Therefore, the value of x is 40.5.
solve 10r-5r+3r-8r plz
Answers
Answer:
0
Step-by-step explanation:
Combine like terms and everything cancels out
Multiply. Express in simplest form. 3/6 x 4/5
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
12/30 = 2/5
Step-by-step explanation:
numerator x numerator, denominator x denominator, 6 goes into both
There’s an option D on the bottom you just can’t see.
Someone please help with this question
Answers
Answer:
B. 25
Step-by-step explanation:
30 + 35 + 10 = 75
100 - 75 = 25
Answer:
it's B (25%) players play the woodwinds.
Step-by-step explanation:
35% + 10% + 30%= 75%
100% - 75%= 25%
hi, please help thank you !
A randomly selected group of 80 high school students was surveyed to see if Math or English was their favorite subject.
Part A: What percent of students surveyed are in the 10th grade? Round your answer to the nearest percent.
A)29%
B)14%
C)71%
D)15%
Answers
Answer:
A because 11 +12 is 23 and A is the closest
what is the value of x ?
Answers
Answer:
97 degrees
Step-by-step explanation:
360 degrees is our total. so:
306 - 60 - 30 - 72 - 46 - 55 = x
x = 97
Find X. This is a 40°, 40°, 90° triangle.
Answers
Answer:
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.
Step-by-step explanation:
Angle A is a supplementary to Angle B. If < b = 65 degrees what is the value of x if < A = 5x -20 ?
Answers
Answer:
x = 27
Step-by-step explanation:
Supplementary angles add up to 180 degrees
65 + 5x - 20 = 180
45 +5x = 180
5x = 135
x = 27
What is the solution to the system of equations shown below?
Answers
Answer:
Need to see the solution
Step-by-step explanation:
Answer:
what
Step-by-step explanation:
which where is the equation
2x - 1 1/2 = 31
solve the equation for the variable
Answers
Answer:
x=16 1/4
Step-by-step explanation:
is that a 11/2 or a 1 1/2? the answer i put was for 1 1/2
Answer:
x=16 1/4
Step-by-step explanation:
2 - 1/2 = 1/2
31 / 1/2 = 15 1/2
Check Answer:
(2 x 16 1/4)- 1 1/2
32 1/2 - 1 1/2
=31
Sooo:
x=16 1/4
Find the value of x. in the below given diagram.
Answers
Answer:5,8
Step-by-step explanation:
x^2= 3^2 + 5^2
x^2= 9 + 25
x^2= 34
x = (square root)34
x= 5,8
Answer:
x = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )
x = [tex]\sqrt{34}[/tex] ← exact value
x ≈ 5.83 ( to 2 dec. places )
Which value for x makes the following equation TRUE? x 9 + 16 = 20
A. 4/9
B. 20/9
C. 13
D. 36
Answers
Answer:
A. 4/9
Step-by-step explanation:
Given
x 9 + 16 = 20
When x = 4/9 Then
4/9 * 9 + 16 = 20
4 + 16 = 20
20 = 20
Hope it will help :)
Natalie paid $3.84 in sales tax on an item that cost $44.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $67.00 before tax?
Answers
Answer:
$70.84
Step-by-step explanation: