Answers
Answer:
The correct option is;
B) -6
Step-by-step explanation:
The given parameters are;
The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis
f(x) = 3·x² + b·x + c
From the given graph of g(x), we have;
The vertex point of g(x) = (-1, 8)
The line of symmetry is the line x = -1
The image of the reflection of (x, y) over the y-axis is (-x, y)
The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)
Therefore;
The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1
The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola
Where;
a = The coefficient of x²
b = The coefficient of 'x'
For f(x) = 3·x² + b·x + c, a = 3, and b = b
Given that f(x) and the image of g(x) have the same line of symmetry, we have;
The line of symmetry of f(x) is x = 1
Therefore, from the formula for the line of symmetry, we have;
x = -b/(2·a)
x = 1
By substitution, we have;
1 = -b/(2·a)
∴ -2·a = b
Given that a = 3, we get;
-2 × 3 = -6 = b
b = -6
Related Questions
A car priced at $ 60000 is sold for $57000. Find the percentage discount.
answeerrrr quick pls trest is going on pls pls
Answers
In a sale, the normal price of a book is reduced by 20%.
The sale price of the book is £4.80
Work out the normal price of the book
Answers
Answer:
5.76
Step-by-step explanation:
4.80×.20=0.96
4.80+0.96=5.76
find the value of x please
Answers
Answer:
it should be 47 because of (3x-4)
Step-by-step explanation:
what is 3 2/4 as a whole number
Answers
Answer:
4Step-by-step explanation:
3 2/4 = 3.5If rounded up,
3.5 ≈ 4 as a whole numberplzzzz help ASAP! Due in 5 mins
Answers
Please help.... Jason saves $12 each week. What expression represents the total money he saved after y weeks.
a. 12 + y
b. y/12
c. y × 12
d. 12 - y
Answers
Write the number in standard form 2.7. x 10^-4
Answers
Answer:
2.7 x 10^-4 = 0.00027
Step-by-step explanation:
This equation is already in standard form. So if you're looking for the answer, there it is.
PLS HELP ME ITS MATH PLSSSS
25 points if u help I’ll send 40 moreeee
Answers
Answer:
x= 45
I hope it's helps you
The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?
Answers
Answer:
x^87
Step-by-step explanation:
Multiplying x^22 and x^7 results in x^29.
Then we have:
(x^29)^3 = x^87
Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)
How was y'all day :)?
Answers
which of the following could be factored by grouping?
a. wy+wz+xy-xz
b. wy+yz-wx+yz
c. wy+wz+xy+xz
d. wx+wz-wy+wv
Answers
Answer:
wy+wz+xy+xz
Step-by-step explanation:
C.) wy+wz+xy+xz could be factored by grouping.
What is factorization by grouping?Method of factorization by grouping the terms:
(i) From the groups of the given expression a factor can be taken out from each group.
(ii) Factorize each group.
(iii) Now take out the factor common to group formed.
= wy + wz + xy + xz
= w(y+z) + x(y+z)
= (w+x)(y+z)
Learn more about factorization by grouping here
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How to find the point of intersections on these equations? (x+6)^2 =-12 (y+2) x^2/81 + y^2/100 =1
Answers
Answer:
Graphically.
Step-by-step explanation:
We have the equations:
(x + 6)^2 = -12*(y + 2)
(x^2/81) + (y^2/100) = 1
First, we can see that the second one is an ellipse, and we can write it as:
(x/9)^2 + (y/10)^2 = 1
This adds some complexity to our problem.
The first equation is just a quadratic equation, that we can write in standard form as:
y = (x^2 + 12*x + 36)/(-12) - 2
y = (-1/12)*x^2 - x - 5
Then our two equations are:
(x/9)^2 + (y/10)^2 = 1
y = (-1/12)*x^2 - x - 5
This is actually really hard to solve analytically, we may end with a quartic equation or something like that (this happens for the nature of the ellipse equation)
So now that we have two rather simple equations that we know how to graph (or that we can just input the equations in a program and graph them) we can find the intersections visually.
You can see the graph of this below:
Of course, this only works to find estimations for the intersections, where one intersection is (3.35, -9.28) and the other is at (-8.69, -2.6)
−6(4a +3) Multiply the polynomial below
Answers
Answer:
[tex] - 6(4a + 3) \\ =( - 6 \times 4a) + ( - 6 \times 3) \\ = - 24a - 18 \\ [/tex]
Step-by-step explanation:
-6(4a+3)
(-6×4a) (-6×3)
-24a-18CAN U HELP ASAP ILL GIVE 15 POINTS AND PROLLY BRAINLIEST IT
Answers
Answer:
(2, 8) and (3, 11) --- > For example
Step-by-step explanation:
Plug in any number for x
I will use 2.
So if the equation is y = 3x + 2, then the new equation will be ...
y = 3(2) + 2
y = 6 + 2
y = 8 ----> One coordinate can be (2, 8)
Another number you could use is 3.
y = 3(3) + 2
y = 9 + 2
y = 11 ----> Another coordinate may be (3, 11)
. If three angle of a quadrilateral are in the ratio 2: 3: 5 and fourth angle is 130
find the angles
Answers
Sum of angles in a quadrilateral is 360
4th angle = 130
360 - 130 = 230
Sum of remaining 3 angles must be equal to 230
1st angle 2/10 * 230 = 46
2nd angle 3/10 * 230 = 69
3rd angle 5/10 * 230 = 115
Adding all angles together 46 + 69 +115 + 130 = 360
Answe
[tex]\huge\mathfrak\red{hello} \\ \\ sorry \: again[/tex]
Tell how many solutions each one has
Answers
Answer:
Step-by-step explanation:
1) 3(x + 2 ) +4 = 31
3*x + 2*3 + 4 = 31
3x + 6 + 4 = 31
3x + 10 = 31 {Subtract 10 from both sides}
3x = 31 - 10
3x = 21 {divide both sides by 3}
x = 21/3
x = 7
This equation has one solution
2) 3x + 1 = 3x + 9
Subtract 3x form both sides
3x + 1 -3x = 3x + 9 - 3x
1 ≠ 9
There is no solution for this equation.
3) 2x - 4 = 2x -4
This equation has many solution
If you have supplementary angles and one of the angles is 123°, what is the other angle?
Answers
Answer:
57 degrees.
Step-by-step explanation:
180 - 123 = 57.
Answer:
im pretty sure its 57
Step-by-step explanation:
Also love your profile picture
Find the surface area of the prism.
Answers
Answer:
108
Step-by-step explanation:
triangles of the sides 3×4=12
5×8=40
4×8=32
3×8=24
add everything
Question 2 (1 point)
drawing a vowel from letter tiles that spell out MATHEMATICS
chance
Blank 1:
Blank 2:
Answers
Answer:
3/ 8 ; 3/8
Step-by-step explanation:
MATHEMATICS
vowels in mathematics = (A, E, I)
letters in mathematics = (M, A, T, H, E, I, C, S)
Probability = required outcome / Total possible outcomes
Required outcome = vowels in mathematics = 3
Total possible outcomes = letters in mathematics = 8
Probability of drawing a vowel letter tiles = 3/8
2.)
Spinner division :
Red = 4 ; white =2 ; green = 1 ; blue = 1
Total divisions = 8
Probability (landing on blue) = number of blue / total
P(landing on blue) = 1 / 8
P(landing on white) = 2/ 8 = 1/4
P(landing on blue or white) = 1/8 + 2/8 = 3/8
Ralph and Jody go to the shop to buy potato chips and candy bars.
Ralph buys 3 bags of potato chips and 4 candy bars. He spends
Jody buys 4 bags of potato chips and 2 candy bars. She spends $3.00.
Later Clancy joins Ralph and Jody and asks to buy one bag of potato chips and one candy bar from
them. They need to work out how much he should pay.
Ralph writes
3p+ 4b = 375
1. If p stands for the cost, in cents, of a bag of potato chips and b stands for the cost, in cents, of a
candy bar, what does the 375 in Ralph's equation mean?
Answers
Answer:
375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars
Bag of potato = 45 cent
Candy = 60 cents
Step-by-step explanation:
375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars
3p + 4b = 375 - - (1)
4p + 2b = 300 ---(2)
From (2)
4p = 300 - 2b
p = 75 - 0.5b
Put b = 75 - 0.5b
3(75 - 0.5b) + 4b = 375
225 - 1.5b + 4b = 375
225 + 2.5b = 375
2.5b = 375 - 225
2.5b = 150
b = 150 / 2.5
b = 60
3p + 4(60) = 375
3p + 240 = 375
3p = 375 - 240
3p = 135
p = 45
Bag of potato = 45 cent
Candy = 60 cents
The table below represents an exponential function of the form y = ab^x
1a. Complete the table.
1b. Determine the corresponding rule.
Answers
1=63
3=163
4=325
I hope this answered your question
Make q the subject of the formula p = 2q2 .
Answers
Answer:
q = ± [tex]\sqrt{\frac{p}{2} }[/tex]
Step-by-step explanation:
Given
p = 2q² ( divide both sides by 2 )
[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )
± [tex]\frac{p}{2}[/tex] = q
Answer:
q = +√p/2
Step-by-step explanation:
p = 2q²
divide both sides by 2 and root we get,
√p/2 = √2q²/2
√p/2 = q
q = +√p/2
Thus, q = +√p/2
-TheUnknownScientist
what is the equation of the line that passes through the point (-6,3) and has a slope of -1/6
Answers
Answer:
y = -1/6x + 2
Step-by-step explanation:
y = -1/6x + b
3 = -1/6(-6) + b
3 = 1 + b
2 = b
What is
as a percent?
20%
35%
6%
60%
Answers
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
7. Find f(9) when f(x) = 12 (17 – 3x) *
Answers
Answer:
-120
Step-by-step explanation:
Maria must choose a number between 55 and 101 that is a multiple 4,8 of and 12 . Write all the numbers that she could choose. If there is more than one number, separate them with commas.
Answers
Answer:
they mean numbers that 4,8 12 can go into and there between 55 and 100 answers: 60,72,80,96,100
Can someone please help on this question
Answers
Answer:
area = 147.03 cm²
Step-by-step explanation:
area =16.9 x 8.7 = 147.03 cm²
Answer:
147.03cm
Step-by-step explanation:
A parallelogram is just a tilted rectangle, so it uses the same formula, base times height.
This would be 8.7 × 16.9
87 × 169 = 14703
move the decimal to get
8.7 × 16.9 = 147.03
the area of the shape is 147.03 cm, don't forget the cm sign!
good luck my friend :D
-cheesetoasty
The graph of line p represents = x-1. If the slope of line p is multiplied by (-10)
to create liner, which statement about the graphs of the two lines is true?
A
Line r intersects line p.
B Line ris parallel to line 2.
CLine ris 10 units above line p.
D
Line ris 10 units below line p.
Answers
Answer:
A. Line r intersects line p
Step-by-step explanation:
to find the second graph multiply the slope of line p by -10
slope is 1/5 or 0.2
So,
0.2 * -10 = -2
slope of second line is -2
Graph shown
Altered line shown in blue
Line p shown in green
As you can see, they intersect and meet no other answers
Given: Circle k(O), diameter US , m RU=50°, m UT=30° Find: m∠RUS, m∠UST
**WILL GIVE BRANLIEST**
Answers
Applying the inscribed angle theorem, the missing angles are:
m∠RUS = 65°m∠UST = 15°What is the Inscribed Angles Theorem?Based on the inscribed angle theorem, we have the following relationships:
Inscribed angle = 1/2(measure of intercepted arc)Central angle = measure of intercepted arc.Given the following:
m(RU) = 50°m(UT) = 30°Find m(RS):
m(RS) = 180 - m(RU)
Substitute
m(RS) = 180 - 50
m(RS) = 130°
Find m∠RUS:
m∠RUS = 1/2(m(RS) [inscribed angle theorem]
Substitute
m∠RUS = 1/2(130)
m∠RUS = 65°
Find m∠UST:
m∠UST = 1/2(m(UT))
Substitute
m∠UST = 1/2(30)
m∠UST = 15°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/3538263
When measuring volume of a cone, if the line goes all the way across the base, define this current value (what is the term for that line) and how do I identify the value of what to input into the formula?
Answers
Answer: the line across the circle is the diameter, you find diameter by multpyling radius by two
Step-by-step explanation: