Write the formula for the parabola that has x- intercepts (1.3.0) and (-1.3.0). and y - intercept (0.169)
Answers
From x- intercepts it was possible to find the formula of the parabola: x²-1.69=0.
Quadratic functionThe quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
From the sum and product of the roots in a quadratic function it is possible to write your respective equation. Since:
S= sum of the roots (x1+x2) = [tex]-\frac{b}{a}[/tex]P= product of the roots (x1*x2)= [tex]\frac{c}{a}[/tex]This question gives the root since it informs the x- intercepts (1.3,0) and (-1.3,0). Then, the roots are: x1=1.3 and x2= -1.3.
Hence, you should write the equation in factors from the known roots. See: (x-1.3) * (x+1.3)=0. Multiplying the factor, you will have:
x²+1.3x-1.3x-1.69=0
x²-1.69=0
You can check the previous result from :
the sum of the roots (S) will be 1.3-1.3=0.
the product of the roots (P) will be 1.3*(-1.3)=-1.69.
So, the formula of the parabola is x²-1.69=0. The attached figure shows the x-intercepts and y-intercept informed.
Read more about a quadratic function here:
https://brainly.com/question/1497716
Related Questions
Which shows the products ordered from least to greatest?
57
x 564
57
101
X 564
102
29
x 564
27
101
x 564
102
57
x 564
57
29
x 564
27
101
x 564
102
29
x 564
27
57
x 564
57
29
x 564
27
57
x 564
57
101
x 564
102
Answers
Answer:
101 divide by 102 multiply by 564
factorise and divide
3^ 2 (2 ^2 − 14 + 24) ÷ 6 (x − 4)
who willbdo this will be branliestband i will follow
Answers
GIVING BRAINLIEST 100 points
Answers
Answer:
A) 4n+30=95
B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95
C) the least number of weeks would be 17 since it says a whole week
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Answer:
i dont know
Step-by-step explanation:
Solve for x round to nearest tenth of a degree
Answers
To find the measure of angle NLM which is x, we must use trigonometry.
In this case we use the sine function:
[tex]sin(x) =[/tex] (side opposite angle NLM) / (hypotenuse)
[tex]sin(x) = \frac{4.9}{7.5} \\x = sin^{-1}(\frac{4.9}{7.5})\\x= 40.8 degrees[/tex]
Hope that helps!
What is the value of x?
x
21.5
13.1
Round your final answer to the nearest tenth.
Use the Pythagorean theorem
Answers
Answer
x=37.8
Step-by-step explanation:
According to Pythagoras theorem
AB = 21.5
BC = 13.1
AC = ?
AC²= AB²+BC²
x² =(21.5)²+(13.1)²
x² =462.25+967.21
x² =1429.46
x =√1429.46
x =37.8
John 450 words in half an hour. How many words would he type in 7 minutes?
Answers
Answer:
that is the correct answer
in simple terms, how do u factor a polynomial by distribution? for example " 36a^2 + 24a?
Answers
Answer:
6a (6a + 4)
Step-by-step explanation:
What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a
So 6a(6a + 4)
Write an algebraic expression that is the product of two factors. One of which should be a sum
Answers
Answer:
2x + 9
Step-by-step explanation:
because you need a variable in it to make it an algebraic
If 1 measures 135°, what is the measure of 6? (Lines b and c are parallel.)
65°
45°
135°
90°
Answers
Answer:
45 degrees
Step-by-step explanation:
135+135=270
360-270=90
90/2=45
your answer is 45 degrees
Answer:
Step-by-step explanation:
Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.
Corresponding angles: When two parallel lines are intersected by the transversal, the angles formed on the matching corners of the same side of the transversal are called corresponding angles.
∠1 + ∠2 = 180° {Linear pair}
135 + ∠2 = 180
∠2 = 180 - 135
∠2 = 45°
∠6 = ∠2 {Corresponding angles}
∠6 = 45°
When a photographer can't change a scene, she changes her angle and lens to capture the best of that scene. Similarly, when you can't change your situation in your life, change your perspective and mindset to get the best out of that situation.
Answer the question below:
What does the quotation above tell us?
Answers
Answer:
idrk the answer but now I know
or Jake is admiring a statue in Cedarburg Park from 8 meters away. If the distance between the top of the statue to Jake's head is 10 meters, how much taller is the statue than Jake?
Answers
Answer:
Step-by-step explanation:
Jake is 5 feet tall. The distance from the flagpole to Jake is 28 feet and the distance between the tip of the shadows and jake is 7 feet.
Can someone answer these questions?? Thank you!!!
Answers
10. b(a-c-3d)
11. -3xy+xz-4xw
also i think that 8 is supposed to be a(10-13)
Need help on this question ASAP pleasee
Answers
Answer:
c
Step-by-step explanation:
vertical translation down two units
What is the average rate of change from -1 to 3?
Answers
Answer:
-15
Step-by-step explanation:
(y2 - y1)/( x2 - x1) = (4-64)/(3+1) = -60/4 = -15
X^2+16x+_=(x+_)^2 what are the missing digits?
Answers
Answer:
x^2+16x+64=(x+8)^2
Step-by-step explanation:
For the first spot you find the perfect square of the equation
This is found by doing (1/2 16)^2
1/2 16 = 8
8^2 = 64
The second spot is factoring, where you would put half of 16 or the square root of 64
1/2 16 = 8
root 64 = 8
HELP Please
I really need the answer
Answers
Step-by-step explanation:
a full circle has 360°.
so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.
labour = 360 - 136 - 34 - 54 - 14 = 122°
the fraction 122/360 represents the 183 votes for labour.
122/360 = 183
the fraction 1/1 = 1 then represents the total number of votes in the whole system.
61/180 = 183
1/180 = 3
1 = 3×180 = 540
540 pupils voted altogether.
3. Maria signed up for a lawn service. She was
charged an initial fee of $75 plus $18 for every
application. How many applications did she
get with $525?
Answers
Step-by-step explanation:
525 - 75 = 450
18 for ever one
equals to 450
18x = 450
450÷18 = x
450 ÷ 18 is
comment and i will check
please put brainest
Line 1 passes through points ( 4 , − 4 ) and ( 8 , − 3 ) while line 2 passes through points ( 1 , − 6 ) and ( − 1 , 2 ). Determine whether the lines are parallel, perpendicular, or neither.
Answers
[tex]\stackrel{\textit{\Large line 1}}{(\stackrel{x_1}{4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-3+4}{4}\implies \boxed{\cfrac{1}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\Large line 2}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{1}}}\implies \cfrac{2+6}{-2}\implies \cfrac{8}{-2}\implies \boxed{-4}[/tex]
keeping in mind that parallel lines have exactly the same slope, let's check for the slopes hmmm nope, they're not equal, so the lines are not parallel.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slopes hmmm
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{1}\implies -4}}[/tex]
low and behold, Line 2 has a slope that is negative reciprocal to the slope of Line 1, thus, they're indeed perpendicular.
If suzannah's budget limit is 0.10 per month, how many text messages can she send per month
Answers
Answer:
How much is her phone bill? There is not enough information for me to solve this. Not even answer choices.
Factor completely
x²-9
Answers
Answer:
(x + 3)(x - 3)
Step-by-step explanation:
Use difference of squares property:
(x + 3)(x - 3)
To raise money for a class trip, students sold bags of mixed nuts and bags of dried fruit. Evan sold 12 bags of mixed nuts and 10 bags of dried fruit and collected $54. Brett sold 8 bags of mixed nuts and 15 bags of dried fruit and collected $61. How much did they charge for each type of bag?
Answers
12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each
Help me I need this withing 3 hours
Answers
Answer:
a. min: 6 1/2 max: 13 median: 8 1/50 range: 6 1/2 mode: 8
b. min: 8 1/2 max: 11 1/2 median: 9 7/10 range: 3 mode: 9 1/4
Step-by-step explanation:
A cylinder has radius 2.5 meters. its volume is 50pi meters. Find its height.
Answers
Answer :
8 meters .⠀
Explanation :
The volume of the cylinder is 50π cubic meters.The cylinder has radius 2.5 meters.⠀
To Find :
The height of the cylinder.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow\qquad \bf\pi {r}^{2}h = \bf{Volume_{(cylinder) } }}[/tex]
⠀
Where,
r is the radius of the cylinder.h is the height of the cylinder.⠀
Now, Substituting the values :
[tex]{ \longrightarrow\qquad \sf\pi \times {(2.5)}^{2} \times h = {50 \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf\pi \times 6.25 \times h = {50 \pi } }[/tex]
⠀
Cancelling π from both sides :
[tex]{ \longrightarrow\qquad \sf \cancel\pi \times 6.25 \times h = {50 \: \cancel \pi } }[/tex]
[tex]{ \longrightarrow\qquad \sf 6.25 \times h = {50 } }[/tex]
[tex]{ \longrightarrow\qquad \sf h = { \dfrac{50}{6.25} } }[/tex]
[tex]{ \longrightarrow\qquad {\pmb {\bf{h = {8 } }}}}[/tex]
⠀
Therefore,
The height of the cylinder is 8 meters .HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answers
Roses: 6
Daisies: 15 - 6
= 9
The ratio of all flowers to all rose flowers.
15:9
The ratio of roses to daisies.
6:9
2:3 (simplified)
The Smiths bought an apartment for $65,000. Assuming the value will appreciate at most 3% a year, how much will the apartment be in 4 years?
Answers
Answer:
$73158.07
Step-by-step explanation:
The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.
please mark me as brainlyest
Answer: $73,157.50
Step-by-step explanation:
Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years
We know the compound interest/appreciation formula is:
S=p(1+r/100)^t
[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]
Therefore, the apartment will be worth about $73,157.50 in 4 years
Mrs. Johnson wants to know which type of cake she should make for the middle school dance. She will conduct a survey asking certain students which kind of cake they prefer. Which method would provide the most accurate results
Answers
Answer:
Asking four boys and four girls from each first period class which type of cake they prefer.
Step-by-step explanation:
cant really explain it just knew it off the top of my head.
What is the midpoint of CD?
5
4
3
2+
O
1
ㅇ [1]
( )
54 -3 -2 -11
X
1 2 3 4 5
D(4-1)
-2
C(-3,4)
Answers
Answer:
See below. (0.5,1.5)
Step-by-step explanation:
I can't make out most of the question. What is:
5
4
3
2+
O
1
ㅇ [1]
( )
54 -3 -2 -11
X
1 2 3 4 5
?????
=====
I do see D(4-1) and C(-3,4). The question asks what is the midpoint. That would be point M, with a coordinate of (0.5,1.5), which is derived from the average of the two points: x: (4-3)/2 = 0.5; y: (-1+4)/2) = 1.5
See the attached image for how the points relate to each other. I derived an equation for the point to illustrate where the midpoint, M, is situated.
=============================
Slope = Rise/Run
Rise: (-1 - 4) = -5
Run: (4 - (-3)) = 7
Slope = -(5/7)
Equation for the line is y = -(5/7)x + 1.9
NEED HELP ASAP EASY 10 to 20 POINTS
Answers
Given :
Find the gcf of the first two terms and the GCF of the last two terms for the polynomial.[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]
Solution :
The first two terms of the polynomials are :
[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]
[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]
Therefore,
Their Greatest common factor is 5p² .⠀
The last two terms of the polynomials are :
[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]
[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]
Therefore,
Their Greatest common factor is 3 .i do not know this answer
Answers
Answer:
try (-4,6)
Step-by-step explanation:
if you use tracing paper, put a mark where the point is
put the tip of the pencil on the point which it will rotate around
spin the paper by the degrees
see where the traced point ends up
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answers
Answer:
-2, 0
Step-by-step explanation:
The solution(s) to f(x) = g(x) are the x-coordinates of the points where the graphs intersect. The points of intersection of these graphs are ...
(-2, 0) and (0, 4)
The x-coordinates of these points are -2 and 0.
The solutions to f(x) = g(x) are x=-2 and x=0.
Answer:
The answer is -2 and 0
Step-by-step explanation:
it was confirmed to be correct