Answer:
I would say the opposite function would either be a linear function, or have all the terms on one side multiplied by -1
The main features of the opposite function of the quadratic equation are; Reflection and Symmetrical
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are Given a quadratic function and its key features
To Determine: what key features its opposite function will have
The opposite function or inverse functions are reflections of each other over the straight line y = x.
We will find the inverse by switching x and y in the equation as;
f(x) = x² + 5
The inverse would be
x = √f(x) - 5
Once graph those two functions, that will see that they're symetrical that has y=x line by its middle line.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Find the general term of the ap whose 7th term is -1 and 16th term is 17? (pls Hurry up I will mark you Brainliest and don't reply in a silly way or I'll report you)
Answer:
The answer is -13.
Step-by-step explanation:
The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.
So the 7th term will be a+6d= -1 ---(1)
The 16th term will a+15d=17 ---(2)
Subtract (2) and (1)
a+15d-(a+6d)=17-(-1)
=a+15d-a-6d=17+1
9d=18
d=18/9
d=2.
Substitute d in eq (1)
a+6(2)= -1
a+12=-1
a= -1-12= -13
Thus the general term of the ap is -13
Solve for x.
x – 42 = 98 – 9x
X = [?]
Answer:
x = 14
Step-by-step explanation:
x - 42 = 98 - 9x
+42 +42
x = 140 - 9x
+9x +9x
10x = 140
/10 /10
x = 14
help me plz i will give you brainlist plzzzzz i beg you
Answer:
Solution given:
[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]
let 3^xbe a
4*a*3-a²=27
a²-12a+27=0
a²-9a-3a+27=0
a(a-9)-3(a-9)=0
(a-9)(a-3)=0
either
a=9
3^x=3²
:.x=2
or
a=3
3^x=3^1
x=1
x=2,1
Which of the following verifies that ST¯¯¯¯¯∥QR¯¯¯¯¯?
Answer:
Step-by-step explanation:
From the picture attached,
If ΔPRQ ~ ΔPTS,
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
[tex]\frac{PR}{PT}= \frac{PQ}{PS}[/tex]
[tex]\frac{7.5+4.5}{4.5}= \frac{20}{7.5}[/tex]
[tex]\frac{12}{4.5}=\frac{20}{7.5}[/tex]
[tex]\frac{120}{45}= \frac{200}{75}[/tex]
[tex]\frac{8}{3}=\frac{8}{3}[/tex]
By the converse of similar triangles,
If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.
If a real estate agent receives 17 percent of the selling price of each house he sells, then what would the agent make if the house sells for $180,000?
Answer:
$30600
Step-by-step explanation:
The selling price is $180,000
The commission rate is 17% of this
(17/100) * 180000 = 30600
Please I need help with this its being timed!!
Answer:
The first one
Step-by-step explanation:
10 fracciones que generen decimales exactos 10 fracciones que generen decimales inexactos puros y 10 fraccionarios que generen decimales periódicos mixtos
Answer:
Un número decimal exacto es algo de la forma:
3.27
Para reescribir este número como una fracción, podemos ver que tiene dos dígitos luego del punto.
Entonces podemos multiplicar y dividir por 100 (misma cantidad de ceros que dígitos luego del punto decimal)
así obtenemos:
3.27*(100)/(100) = 327/100
Entonces la fracción 327/100 genera un decimal exacto.
Así, encontrar 10 fracciones es trivial, 10 ejemplos son:
7/10 = 0.7
314/100 = 3.14
27/10 = 2.7
27/100 = 0.27
2/10 = 0.2
25/100 = 0.25
31/10 = 3.1
12/10 = 6/5 = 1.2
131/10 = 13.1
142/100 = 1.42
Ahora, un decimal inexacto puro es algo de la forma:
3.33...
donde el 3 se repite infinitamente.
Tratemos de reescribir este número como una fracción:
primero debemos ver la cantidad de dígitos que se repiten, en este caso es uno solo, el 3, entonces multiplicamos por 10:
3.33*10 = 33.33...
Ahora, podemos restar el numero original:
33.333... - 3.333... = 30
Entonces tenemos que:
3.33*9 = 30
3.33 = 30/9
La fracción:
30/9 nos da in decimal inexacto puro.
Ahora que sabemos construirlas, 10 ejemplos pueden ser:
30/9 = 3.33....
1/3 = 0.33...
40/9 = 4.44...
50/9 = 5.55...
60/9 = 6.66...
70/9 = 7.77...
20/9 = 2.22...
55/9 = 6.11...
544/99 = 5.5959...
10/9 = 1.11...
Finalmente, un periódico mixto es algo de la forma:
1.2343434...
Es decir, el 34 se repite infinitamente, pero también tenemos un 2 luego del punto decimal, por lo que este número no es puramente periódico.
Para construirlos, podemos tomar una fracción exacta, como
1.1 y una periódica, como 1.11...
Si las sumamos, obtenemos:
1.1 + 1.11... = 2.211...
donde el uno se repetirá infinitamente.
Así, simplemente sumando las fracciones del primer caso con las del segundo, obtendremos decimales periódicos mixtos, por ejemplo:
7/10 + 55/9 = 613/90 = 0.7 + 6.11... = 6.8111....
7/10 + 10/9 = 163/90 = 0.7 + 1.11... = 1.811....
31/10 + 10/9 = 379/90 = 3.1 + 1.11... = 4.2111...
31/10 + 20/9 = 479/90 = 3.1 + 2.22... = 5.322...
31/10 + 30/9 = 579/90 = 3.1 + 3.33... = 6.4333...
27/10 + 20/9 = 443/90 = 2.7 + 2.22... = 4.922...
37/10 + 20/9 = 533/90 = 3.7 + 2.22... = 5.922...
4/10 + 10/9 = 136/90 = 0.4 + 1.11... = 1.511....
3/100 + 10/9 = 1027/900 = 0.03 + 1.11... = 1.14111...
4/10 + 20/9 = 236/90 = 0.4 + 2.22... = 2.622....
what is the area of the triangle formed from (-2,2), (1,2) and (0,-6)
Answer:
I think it's 12
Step-by-step explanation:
Hope it helps!
rfan exited his apartment building and walked 20 blocks west. He then walked an additional 5 blocks west. What must he do to return to his apartment building?
Answer: If he walked 20 blocks west straight from his exited appartment, then added an additional 5 blocks to the west, he would have walked a total of 25 blocks and to return to his appartment must walk 25 blocks straight back from where he cam from to return back to his appartment.
Step-by-step explanation:
Given the algebraic representation of a linear transformation (x,y) (3x-4, 1/5y-2),what trasformations are occuring
Answer:
We can define the algebraic transformations used here as:
Horizontal translation.
For a general point (x, y), a horizontal translation of N units is written as:
(x + N, y)
if N < 0, the translation is to the left
if N > 0, the translation is to the right.
Vertical translation:
For a general point (x, y), a vertical translation of N units is written as:
(x , y + N)
If N < 0, the translation is downwards
if N > 0, the translation is upwards.
Vertical dilation:
For a point (x, y), a vertical dilation of scale factor k is given by:
(y, k*y)
Horizontal dilation:
A dilation of scale factor k is written as:
(x/k, y)
Here we go from:
(x, y) to (3x - 4, (1/5)*y - 2)
So we have:
An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.
And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.
10. A rectangle whose length is twice its width has a diagonal equal to one side of a given square. The ratio of the area of the rectangle to the area of the square is
Answer:
2/5
Step-by-step explanation:
First, we can draw the rectangle out, as shown. The length is twice the width, and the diagonal, y, cuts across the rectangle. This forms a right triangle, and using the Pythagorean Theorem, we can say that
y² = x² + (2x)²
y² = x² + 4x²
y² = 5x²
square root both sides
y=√(5x²)
The diagonal, or y, is equal to √(5x²). This is equal to one side of the square
The area for the rectangle, which we need to find for the ratio, is length * width = x * 2x = 2x²
The area for the square, which we also need to find for the ratio, is (side length)² = √(5x²) = 5x²
The ratio for the area of the rectangle to the area of the square is therefore 2x²/5x² = 2/5 (crossing out the x² in both the numerator and the denominator). We know to put the rectangle on top because of the specific wording of "the ratio of the area of the rectangle to..."
this is a geometry question, i need something quickly :)
Answer:
hope it helps mark me brainlieast!
Step-by-step explanation:
For triangle ABC with sides a,b,c labeled in the usual way,
c2=a2+b2−2abcosC
We can easily solve for angle C .
2abcosC=a2+b2−c2
cosC=a2+b2−c22ab
C=arccosa2+b2−c22ab
That’s the formula for getting the angle of a triangle from its sides.
The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.
−1≤cosC≤1
0∘≤C≤180∘
We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.
The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)
The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool
2sinAsinBcosC=sin2A+sin2B−sin2C
Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.
In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,
4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2
true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.
This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,
(a+b−c)2=4ab(1−c)
Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
Answer:
q = 80 degrees
r = 70 degrees
s = 10 degrees
t = 70 degrees
u = 40 degrees
v = 60 degrees
Step-by-step explanation:
starting with the fact that all angles in any triangle always sum up to 180 degrees :
q = 180 - 60 - 40 = 80 degrees
r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees
the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.
that means the angles must be equal.
v = 60 degrees
u = 40 degrees
similar for 10-r-blank and t-s-blank.
s = 10 degrees
t = 70 degrees
u=60°
v=40°
q=80°
r=70°
s=70°
t=10°
Answer:
Solution given:
t=10°[inscribed angle on a same chord or arc is equal]
V=40°[inscribed angle on a same chord or arc is equal]
u=60°[inscribed angle on a same chord or arc is equal]
AGAIN;
40+60+10+r=180°[sum of interior angle of triangle]
r+110°=180°
r=180°-110°
r=70°
again
r=s=70°[inscribed angle on a same chord or arc is equal]
again
q=r+10°[exterior angle is equal to the sum of two opposite interior angle]
q=70+10=80°
Help me plss I’m lost ☺️❤️
Answer:
there is only one way to to roll a 3
1/36 = .044 = 4.4%
Step-by-step explanation:
What is the value of the expression below when 4x=4? 2
x
2
+
x
−
5
2x
2
+x−5
Plzzz help!!
Answer:
I dont understand the problem because of the way its written out but I believe that the value of x itself is 1.
x=1
Step-by-step explanation:
1 x 4 = 4
(hope it helps a bit)
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
Q3. Last option Q4. 3rd option
Step-by-step explanation:
s^2 = 9.8^2+5.1^2-2(9.8)(5.1)cos39
s^2=44.366489...
s=6.7
25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91
Answer:
$43,799.50
Step-by-step explanation:
USing the formula:
A = P(1+r)ⁿ
n is the time = 5
1 + r = 1.04
P = 36,000
Substitute the values into the formula
A = 36000(1.04)⁵
A = 36,000(1.2166529024)
A = 43,799.50
Hence the value in the fifth year will e $43,799.50
hello can someone please help me this question? I don't quite understand it
Answer:
Equation: y=45x+1000
A. $45
B. 1,000
C. y=45x+1000-->Independent=1,000-->Dependent=45
D. y=45(20)+1,000=1,900
E. 30 weeks
Step-by-step explanation:
To solve step "E", you must set up an equation.
Specifically--> 45x+1,000=2350, then solve
45x=1350
x=30
(x^2 + 5x + 2) – (5x^2 – x – 2) =
Answer:
[tex]{ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2) }} \\ = { \tt{(1 - 5) {x}^{2} + (5 + 1)x + (2 + 2)}} \\ = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\ = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}[/tex]
El periodo de un movimiento circular uniforme es de
8 segundos. ¿Cuál es su velocidad angular?
Answer: I dont understand what your saying im sorry, I'd really like to help but I cant :(
Help please someonee !!!
A bank pays interest of 9% on money in deposit accounts. Mrs. Wells puts $2000 in the bank. Calculate how much she has after:
a). 1year
b). 3 years
c). 5 years
Answer:
first year
$2180
Step-by-step explanation:
9% of $2000 =$180
$2000+$180Step-by-step explanation:
1year $2180. so the ans is send me I'd and password of zoom Answer of ur Question bro
Match the expression to its value.
Answer:
1 a
2 b
3 c
4 d
Step-by-step explanation:
1b
2d
3c
4a
Answer:
10(4) > 10,000
10-(4) > 0.0001
10(4)/10(2) > 0.000001
10-(4) * 10(2) > 1/10(4) 0.01
Step-by-step explanation:
if 2[tex]\frac{1}{3}[/tex] : 4 [tex]\frac{1}{3}[/tex] , then 7 : ___
A: 12 B: 13 C: 8[tex]\frac{2}{3}[/tex] D: 6[tex]\frac{1}{3}[/tex]
temsuyanger, I don't want your BS answer
[tex] \\ \tt \longmapsto 2 \frac{1}{3} \div 4\frac{1}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \times \frac{3}{13} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{13} = \frac{7}{x} \\ \\ \tt \longmapsto 7x = 7 \times 13 \\ \\ \tt \longmapsto 7x = 91 \\ \\ \tt \longmapsto x = \frac{91}{7} \\ \\ \tt \longmapsto x = 13[/tex]
Answer:
[tex]x = 13[/tex]
Step-by-step explanation:
[tex] \frac{2 \frac{1}{3} }{4 \frac{1}{3} } = \frac{7}{x} \\ \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \frac{7}{ 3} \times \frac{3}{13} = \frac{7}{x} \\ \frac{7}{13} = \frac{7}{x} \\ 7x = 13 \times 7 \\ x = \frac{13 \times 7}{7} \\ x = 13[/tex]
g(x) = 6(x-1) find the inverse function
Answer:
let g(x)=y
y=6(x-1)
interchange the values of x and y
x=6(y-1)
Make y the subject
x=6y-6
x+6=6y
(x+6)/6=y
4. If 2 Cos A-1 = 0, then the value acute value A is
Answer:
[tex]A=60^{\circ}[/tex]
Step-by-step explanation:
Given [tex]2\cos A-1=0[/tex],
Add 1 to both sides:
[tex]2\cos A=1[/tex]
Divide both sides by 2:
[tex]\cos A=\frac{1}{2}[/tex]
Take the inverse cosine of each side (note that the question stipulates that A is acute):
[tex]\arccos(\cos A)=\arccos(\frac{1}{2})[/tex]
[tex]A=\arccos(\frac{1}{2}), A\in (0^{\circ}, 90^{\circ}),\\A=\boxed{60^{\circ}}[/tex]
Ugh I’m kinda stuck someone can help me ?
Answer:
To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).
Hope this helps!
Answer: Plot the two points (3,-6) and (1, -5). Draw a straight line through those points.
See the graph below.
=============================================
Explanation:
Plot the point (3, -6)
The slope -1/2 means the rise is -1 and the run is 2
rise = -1run = 2If we moved to the right, then we'd drop down 1 and move to the right 2. That would move us from (3,-6) to (5,-7)
We can go in reverse of this. So instead of "move down 1", we move up 1. We're going left instead of right.
-----------
So we start at (3,-6) and move up 1 and to the left 2 to arrive at (1,-5)
Two points on this line are (1, -5) and (3, -6)
Once we have two points, we have enough to graph the line.
See the graph below.
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9
I NEED HELP, WHAT IS THE ANSWER !!!!!!!!!!
Step-by-step explanation:
Hey there!
From the given figure;
Measure of angle V + measure of angle W = measure of angle VUF {exterior angle is equal to the sum of opposite interior angles}
Therefore, angle VUF= 94°.
Hope it helps!
Answer:
<V + <W = < VUF
94 = < VUF
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<V + <W = < VUF
71+ 23 = < VUF
94 = < VUF
Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?
Answer:
ratio 2 : 3 : 5
size of smallest angle
[tex]180 \times \frac{2}{10} \\ = 36[/tex]
Answer:
The smallest angle of a triangle is 36°.
Step-by-step explanation:
Given, the ratio of angles of a triangle is 2 : 3 : 5
Let the angles of a triangle be ∠A, ∠B and ∠C.
∠A = 2x, ∠B = 3x, ∠C = 5x
∠A+∠B + ∠C= 180°
[sum of all the angles of a triangle is 180°]
2x + 3x + 5x = 180°
10x = 180°
x=180°/10 =18°
∠A=2x=2 x 18° = 36°
∠B = 3x = 3 x 18° = 54°
∠C = 5x = 5 x 18° = 90°
Hence, the smallest angle of a triangle is 36°.
HOPE IT HELPS!!!
The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to
produce F"G"H". what are the coordinates of vertex F" of F"G"H"?
Answer:
Step-by-step explanation:
Given rule for the multiple translations is,
[tex]T_{5,-0.5}.R_{0.180^{\circ}}(x,y)[/tex]
Apply the rule [tex]R_{0,180^{\circ}}[/tex] first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,
[tex]T_{5,-0.5}[/tex]
(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
