The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
How to evaluate the function?The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
Read more about functions at:
https://brainly.com/question/4025726
#SPJ1
Answer:
g(-1) = 1
Step-by-step explanation:
-
If f(x) = 3x² − 4 and g(x) = 2x − 6, what is g(f(2))?
[tex]\\ \rm\Rrightarrow g(f(2))[/tex]
[tex]\\ \rm\Rrightarrow g(3(2)²-4)[/tex]
[tex]\\ \rm\Rrightarrow g(12-4)[/tex]
[tex]\\ \rm\Rrightarrow g(8)[/tex]
[tex]\\ \rm\Rrightarrow 2(8)-6[/tex]
[tex]\\ \rm\Rrightarrow 16-6[/tex]
[tex]\\ \rm\Rrightarrow 10[/tex]
Answer:
[tex]g[f(2)] = 10[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=3x^2-4\\g(x)=2x-6\end{cases}[/tex]
Find f(2) by substituting [tex]x = 2[/tex] into function f(x):
[tex]\begin{aligned}\implies f(2)& =3(2)^2-4\\& = 3(4)-4\\& = 12-4\\& = 8\end{aligned}[/tex]
Now substitute the found value of f(2) into function g(x):
[tex]\begin{aligned}g[f(2)] & = 2[f(2)]-6\\\implies g[f(2)] & =2(8)-6\\& = 16-6\\& = 10\end{aligned}[/tex]
A wire goes from the top of a 55 ft pole to the ground. It makes a 70
o angle with the ground. How long is the wire? NEEDN ASAP!!! ill give 20 points for this
Answer:
58.5 ft
Step-by-step explanation:
sin 70=55/length
length=58.5 ft
What are the factors pair of 32.
Answer:
1&32 2&16 4&8
Step-by-step explanation:
Factor Pair Pair Factorization
1 and 32 1 x 32 = 32
2 and 16 2 x 16 = 32
4 and 8 4 x 8 = 32
Find the value of x y and z
Answer:
x = 115° , y = 65° , z = 115°
Step-by-step explanation:
x and 65° are a linear pair and sum to 180°
x + 65° = 180° ( subtract 65° from both sides )
x = 115°
y and 65° are vertically opposite angles and are congruent , then
y = 65°
x and z are vertically opposite angles and are congruent , then
z = x = 115°
CPA is parallel to BPD and so it is also equal to 65 degrees
And all you have to do to find CPB is 180-65=115 and CPB is Parallel to APD thus, its equal to 115 too!
CPA= 65 degrees
BPD=65 degrees
APD= 115 degrees
CPB=115 degrees
Hope i helped
TheOneAndOnlyLara~
What is the inverse of the function f(x) =
1/9x+ 2?
Answer:
[tex]f^{-1}(x) = 9x -18.[/tex]
Step-by-step explanation:
[tex]y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.[/tex]
Use the given values to complete the table for the function below
y=2x^2+8x-5
Which shows the un-simplified solution for x2 + 8x + 6 = 0?
Answer:
A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]
Step-by-step explanation:
We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.
Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.
Answer:
Choice A
Step-by-step explanation:
Let's solve to check.
Given:
x^2 + 8x + 6 = 0
Solution:
We know that,
Let us assume that Quadratic Formula = x[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]
Here, a = 1b = 8c =6So substitute them:
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]
[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]
[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]
Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.
a concert promoter sold 475 tickets to a rock concert the ticket prices for different seat locations were 10 15 and 20 the total income from the concert was 6300 if the combined number of 10 15 tickets sold was 4 times the number of 20 tickets sold how many 10 tickets were sold
282.5 of 10 tickets were sold in the rock concert by the promoter
How to determine the number of 10 tickets?To do this, we make use of the following representations:
x represents the 10 ticketsy represents the 15 ticketsz represents the 20 ticketsThe 475 tickets that were sold means that:
x + y + z = 475
The income means that:
10x + 15y + 20z = 6300
Also, we have:
10y = 4z
Divide both sides by 10
y = 0.4z
Substitute y = 0.4z in 10x + 15y + 20z = 6300
10x + 15*0.4z + 20z = 6300
10x + 6z + 20z = 6300
Evaluate the like terms
10x + 26z = 6300
Substitute y = 0.4z in x + y + z = 475
x + 0.4z + z = 475
Evaluate the like terms
x + 1.4z = 475
Make x the subject
x = 475 - 1.4z
Substitute x = 475 - 1.4z in 10x + 26z = 6300
10(475 - 1.4z) + 26z = 6300
Expand
4750 - 14z + 26z = 6400
Evaluate the like terms
12z = 1650
Divide both sides by 12
z = 137.5
Substitute z = 137.5 in x = 475 - 1.4z
x = 475 - 1.4 * 137.5
Evaluate
x = 282.5
Hence, 282.5 of 10 tickets were sold
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
What is Parabola?
What is the transformation of parabolas?
Answer:
What is Parabola:
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
What is the transformation of parabolas?
The function y=x2+b has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards. Similarly, we can translate the parabola horizontally
Step-by-step explanation:
20 points!!!What is the equation to plug this into a graph?
t = 0
t = 5
Step-by-step explanation:
(-10t^2+50t)/(t^2+4t+3)
I'm making t into x so its not confusing with the plus sign
(-10x^2+50x)/(x^2+4x+3)
with (x^2+4x+3) :
what 2 numbers when multiplied make 3 and when added make 4 ?
they are 1 and 3
(x+1)(x+3)
(-10x^2+50x)/(x+1)(x+3)
(-10x(x-5))/(x+1)(x+3) =0
(-10t(t-5))/(t+1)(t+3)=0
t = 0
t = 5
In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the government worth $539,517. What was the combined total of their contracts?
The combined total of their contracts is $1,296,250
How to determine the combined total?The values of the contracts are given as:
Exxon Mobil= $756,733Aerospace = $539,517The combined total is represented as:
Total = Exxon Mobil + Aerospace
Substitute known values
Total = $756,733 + $539,517
Evaluate the sum
Total = $1,296,250
Hence, the combined total of their contracts is $1,296,250
Read more about sum and total at:
https://brainly.com/question/4916384
#SPJ1
Sandra wants to wrap a gift box 6 inches in length, 4 inches in height, and 13 inches in width. How much wrapping paper does Sandra need to buy
Answer:312
Step-by-step explanation: multiply 6*4*13
Point D is the midpoint of AB and point E is the midpoint of BC. Select all of the statements to the right that must be true.
Answer + Step-by-step explanation:
» ABC ≅ DBE
» DE // AC
(properties of the mid-segment of a triangle)
» Length of DE = 1/2 length of AC
(properties of the mid-segment of a triangle)
» ∠BDE = ∠DAC
(Corresponding angles)
Pls help and put equation and work
Step-by-step explanation:
that is a large gift. wow ! you have a lucky teacher ...
the surface of a block consists of 6 (3 pairs of) areas :
front and back
left and right
top and bottom
you know that the area of a rectangle is length × width ?
so,
front and back are
2× 9×13.5 = 18×13.5 = 243 m²
let and right are also
2× 9×13.5 = 243 m²
top and bottom are
2× 9×9 = 2 × 81 = 162 m²
so, for the whole package you need
243 + 243 + 162 = 648 m²
the money for that amount of wrapping paper alone would be way more than I ever spent on a teacher in my life ...
Please solve with explanation
Real life scenarios of acute angles are:
Sighting a ball from the top of a building at an angle of 55 degrees.The angle between two adjacent vanes of a fan that has 6 vanesWhat are acute angles?As a general rule, an acute angle, x is represented as: x < 90
This means that acute angles are less than 90 degrees.
The real life scenariosThe real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.
Sample of the real life scenarios that satisfy the above definition are:
Sighting a ball from the top of a building at an angle of 55 degrees.The angle between two adjacent vanes of a fan that has 6 vanesRead more about acute angles at:
brainly.com/question/3217512
#SPJ1
expression equivlant (x+5)^2
Answer:
(x+5) (x+5)
Step-by-step explanation:
it's just (x+5)^2 twice
can i have help with this
Answer:
2^1
Step-by-step explanation:
a^m/a^n = a^(m-n)
so, 2^8/2^7 = 2^(8-7) = 2^1
hope this helps :)
can someone help me here
NONSENSE=REPORT
[tex] \huge \qquad \sf \: Answer[/tex]
Here we go ~
1. A circle can be named by their Centre, so here in the diagram it's :
Circle A2. Name 4 radii :
Radii are the line segments that joins the centre and boundary of circle.
They are :
FAGABACA3. 2 Major arcs :
considering two points on a circle, and joining them forms a curve ( you can say part of circumference )
When we consider two points two arcs are formed and the arc with more length is known as Major Arc
That is :
Major arc ECFMajor arc BEC4. A Semicircle :
Semicircle is special arc which is formed when two arcs formed by the points are equals to one another... it's also half the Perimeter of circle.
that is :
Arc CF is a Semicircle5. 3 minor arcs :
The arc formed by two points having lesser length is known as minor arc.
that is :
Arc EFArc BGArc FG6. 3 Central angles :
Central angles are angles formed by arcs on centre of the circle ~
that is :
Angle FABAngle BAC Angle GAB7. A diameter :
Diameter is a chord that passes through centre of the circle.
CF8. Congruent Angles :
In the given figure, there are two equal/congruent angles that are ~
Angle BAG and Angle GAF9. Adjacent arcs :
The arcs that have one common end point are known as Adjacent arcs ~
that are :
Arc FG and Arc GBAnswer:
A circle is named by its center. The center of the given circle is A, therefore:
Name of the circle: A
The radius is any line segment from the center of the circle to the perimeter.
Name 4 radii: [tex]\sf AC, \quad AB, \quad AG, \quad A\,F[/tex]
A major arc is an arc whose measure is greater than 180°.
When naming a major arc, the first point and last point are the endpoints, and we also need include the name of any point between those two endpoints.
2 major arcs: [tex]\sf \widehat{CEG},\quad \widehat{BCF}[/tex]
A semi-circle is half a circle with an arc that measures 180°.
Its endpoints lie on the diameter of the circle. We need three points to name a semicircle (the endpoints and a point between the endpoints).
A semi-circle: CEF
A minor arc is an arc whose measure is less than 180°.
3 minor arcs: [tex]\sf \widehat{FG}, \quad \widehat{GB}, \quad \widehat{BC}[/tex]
A central angle has its vertex at the center of the circle, and is formed by 2 radii. When naming the central angle, the middle letter is the center of the circle.
3 central angles: [tex]\sf \angle F\,AG, \quad \angle GAB, \quad \angle BAC[/tex]
The diameter is the widest part of the circle. It is a straight line segment that passes through the center of the circle.
A diameter: CF
Congruent angles are angles with the same measure.
On the diagram, the same angle measures are indicated by the addition of the same number of dashes on the angle sign.
Congruent angles: [tex]\sf \angle F\,AG, \quad \angle GAB[/tex]
Adjacent arcs are arcs that have one point in common.
Adjacent arcs: [tex]\sf \widehat{GB}[/tex] and [tex]\sf \widehat{BC}[/tex] (they share point B)
Solve y = x + 8 for x.
Ox=y+8
Ox=y-8
Ox=-y + 8
Ox=-y-8
Answer:
x= -y+8
Step-by-step explanation:
hope it's helpful
A stick of gum is 2 inches long. Are 10 sticks of gum longer than 3 feet?
Triangles
Calculate the perimeter of ABC
Answer:
40 units.
Step-by-step explanation:
Consider ∆ADC
Perimeter = 26cm (Given)
★ Perimeter of a triangle is the sum of its three sides.
=> AD + DC + AC = 26
Now, from the figure we can see that side AD = DC
Hence we can also write
=> AD + AD + AC = 26
=> 2AD + AC = 26
=> AC = 26 - 2AD ——— ‘1’
Consider ∆ ABC,
Let us consider it's perimeter to be ‘x’.
=> AB + AC + BC = x
Here also we can make out from the figure that side AB = BC
=> AB + AB + AC = x
=> 2AB + AC = x
From ‘1’ substituting AC value, we get
=> 2AB + ( 26 - 2AD ) = x
=> 2AB - 2AD + 26 = x
=> 2( AB - AD ) + 26 = x
=> 2 (7) + 26 = x ( Given )
Therefore perimeter of the ∆ABC (x) = 40
10. Complete the equation to make a true statement. Use the number
bank to fill in the statement.
-7-4
-4-2 1 2 3
Enter your answers in the boxes:
7
-
=
7
[
OA. 3,-4
B. 2,-2
O C. 1;-4
D. 2; 3
+
* 1 pc
The option (B) 2,-2 is correct because the number satisfy the provided expression.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a number bank shown in the picture.
The problem given:
7 - __ = 7 + __
A. 3,-4
Checking for the above option:
7 - 3 = 7 - 4
4 = 3 (false)
B. 2,-2
Checking for the above option:
7 - 2 = 7 - 2
5 = 5 (true)
O C. 1;-4
Checking for the above option:
7 - 1 = 7 - 4
6 = 3 (false)
D. 2; 3
Checking for the above option:
7 - 2 = 7 + 3
5 = 10 (false)
Thus, the option (B) 2,-2 is correct because the number satisfy the provided expression.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
Active
3
2
D(X)
4 5
de
8
9
TIME REMAINING
50:16
10
Which input value produces the same output value for
the two functions on the graph?
O x=-1
O
x = 0
O
x = 3
O x = 4
what’s the answer
Answer:If your in FLVS i don't really know because this give really hard things. Wish you luck
Step-by-step explanation:
27 Solve for x to the nearest tenth: x² + x - 5 = 0.
Answer:
Step-by-step explanation:
We can use the quadratic formula to get the answer to this
Quadratic Formula: -b +- √b² - 4ac/2a
Once we input A, B, and C into this, and solve any multiplication, we get
x = -1 +- √1 + 20/2
We divide by 2a, which 2a = 2.
-0.5 +- 10.5.
these are the following values of x:
x = 10
x = 11
Pretty sure this is it, hope it helps!
What is the length of EF?
Answer:
(a) 3.8
Step-by-step explanation:
The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.
__
compare anglesThe given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.
compare sidesSince the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.
EF > DE
EF > 3
Only one answer choice satisfies this inequality.
EF = 3.8
__
Additional comment
If you want to do the actual computation, we have ...
EF/sin(D) = DE/sin(F)
EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828
EF ≈ 3.8
i forgot how to do some maths so i need help: solve 2x + 3 = -1
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to solve the equation [tex]\pmb{2x+3=-1}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
The goal is to isolate x.First, subtract 3 from both sides of the equal sign:
[tex]\mathrm{2x=-1-3}[/tex]
[tex]\mathrm{2x=-4}[/tex]
Now, divide both sides by 2:
[tex]\mathrm{x=-2}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
A ball is thrown upward in the air. The height h, in feet, of the ball t seconds
after being thrown can be determined by the equation
h=-16t² + 40t + 4
How long does it take for the ball to hit the ground? Round to one decimal
place.
By solving a quadratic equation, we will see that the ball hits the ground after 2.6 seconds.
How long does it take for the ball to hit the ground?
Here we need to solve the equation:
h(t) = 0 = -16t² + 40t + 4
This represents that the ball hits the ground.
So we just need to solve that quadratic equation, using the general formula we get:
[tex]t = \frac{-40 \pm \sqrt{(40)^2 - 4*4*(-16)} }{2*-16} \\\\t = \frac{-40 \pm 43.1 }{-32}[/tex]
We only care for the positive solution, which is:
t = (-40 - 43.1)/-32 = 2.6s
So the ball hits the ground after 2.6 seconds.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
what is the standard deviation from the mean
roundest to the nearest tenth
The standard deviation from the mean of the data with a variance of 36 is: B. 6.
Standard deviation can be described as the average of the distance each of the value lies from the mean of the data.
The standard deviation is the square root of the variance.
Variance of the data is given already as 36.
Standard deviation = √36 = 6.
The answer is B. 6.
Learn more about the standard deviation on:
https://brainly.com/question/12402189
#SPJ1
Which could be the missing data item for the given set of data if the median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15 A. 18
B. 24
C. 45
D. 57
Answer:
It's A
Step-by-step explanation:
Thx to the guy in the comments above
Answer:
It's A
Step-by-step explanation:
It's right
What is the smallest number of marbles that could be divided up either into bags of $18$ marbles or into bags of $42$ marbles, with no marbles left over in each case
The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles is 126.
How to find that number?
The number that could be divided up either into bags of 18 marbles or into bags of 42 marbles, with no marbles left over in each case, is the lowest common multiple between these two numbers.
By decomposing these numbers as a product of primes, we get:
18 = 2*3*3
42 = 2*3*7
Notice that the first two prime factors are the same, but the third one changes. To get the first common multiple, we need to multiply both numbers by the third factor (the different one) of the other.
We will get:
18*7 = 126
42*3 = 126
Then 126 is the smallest number that can be divided by 18 and 42.
If you want to learn more about lowest common multiple:
https://brainly.com/question/10749076
#SPJ2