Answer:
3(x^3 + 5x)^2 - 4 (please mark brainliest)
Step-by-step explanation:
plug g equation into x values of f equation
f equation = 3(x)^2 - 4
^g goes here
So....
3(x^3 + 5x)^2 - 4
^ g goes here
Composite function is a function in another function. The composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
Composite functionsComposite function is a function in another function
Given the following functions
f(x)=3x^2-4
g(x)=x^3+5x
f(g(x)) = f(x³ + 5x)
Substitute x³ + 5x into the function f(x)
f(x³ + 5x) = 3(x³ + 5x)² -4
Hence the composite function f(g)(x) is equivalent to 3(x³ + 5x)² -4
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What is the equation of the graphed line written in standard form?
Answer:
The last one 5x-3y=15 This is the same as y= (5/3)x -5
Step-by-step explanation:
5x-3y=15
Move 5x to the right (becoming negative)
-3y = -5x +15
Divide everything by - 3
y= (5/3)x -5
y intersect= -5 ( line crosses y coordinate at -5)
Slope = 5/3 From -5 you start counting (5 up,3 right,5 up,3 right.... OR 5 down,3 left,5 down,3 left........)
Sandra hikes 9/10 mile every 30 minutes,or 1/2 hour. How many miles does she hike each hour?
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Answer:
1.8 miles
Step-by-step explanation:
In the first half hour, Sandra hikes 9/10 = 0.9 miles. She hikes that distance again in the second half-hour. After an hour, Sandra has hiked ...
2 × 0.9 miles = 1.8 miles
__
If you like, you can consider it a "unit rate" problem. To find miles per hour, divide miles by hours:
(9/10 mi)/(1/2 h) = (9/10)(2/1) mi/h = 9/5 mi/h = 1.8 mi/h
Sandra hikes 9/5 or 1.8 miles in an hour.
diameter of the cylinder given that the volume is 704 cm³ and the height is 14 cm .
Answer:
8.00 cm (to 3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: cylinder = \pi {r}^{2}h }[/tex]
*r= radius of the cylinder
h= height of cylinder
Substitute the given volume and height into the formula:
704= πr²(14)
[tex]{r}^{2} = \frac{704}{14\pi}[/tex]
Square root both sides:
[tex]r = \sqrt{ \frac{704}{14\pi} } \\ r = 4.0008 \: (5 \: s.f.)[/tex]
Diameter= 2(radius)
∴ Diameter of cylinder
= 2(4.0008)
= 8.0016
= 8.00cm (3 s.f.)
HELP!!!!! I will gove brainliest
Answer:
what do u need help on?
Step-by-step explanation:
i don't know what u need help with
The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?
Answer:
24 individuals
Step-by-step explanation:
Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...
($480 - $120) / $15 = x
$360 / $15 = x
24 = x
Finally, we can see that a total number of 24 individuals attended the party
The Party Room at Sky Zone rents for an initial fee of $45 and then $12 per hour. Jamie’s Bill for her birthday party was $63.For how many hours did she rent the room?
Answer:
Step-by-step explanation:
From what i got was a hour and a half hope it helps
Answer:
She rented it for an hour and a half.
Step-by-step explanation:
Take $63 and subtract it by $45 because that is the initial fee. Then, with $18 left, divide it by 12. (18/12) The answer you get is 1.5.
PLEASE HELP NOW ASAP!!!!!!
Which expression has the same sum as the one below? Negative 15 + 6 15 + 6 Negative 6 + (negative 15) 15 + (negative 6) 6 + (negative 15)
Answer:
6+(-15)
Step-by-step explanation:
Answer:
i belive its d but im not sure, sorry for being late to ur question <3
Step-by-step explanation:
Have a Great Day!!
a. What is the distance between points and K? Show
your work.
Answer:
Can you attach a picture?
Step-by-step explanation:
Put it DB and I'll gladly answer!
if 10 people and 400 animals go to a barn were are the people? if you cant figure out please do not report ill cry.
Answer:
18
Step-by-step explanation:
So you need to do f(x) 5x^2+3x-19+3
You would simplify the equation to get to y=4x+5f(x)+2
Naturally, you would now graph the equation to a linear degree but still inducing a parabellum, y-(d-3)=0
Then solve using the square method (b/2)^2=(6)^2
Then put the 6 on both sides of the equation.
6^2+w0+8x+7t^2
After you get hydrogen oxide as your answer please note: Puenomia can only occur inside the respiratory system.
There ya go: 18.
What is the first step in solving the system by the substitution method?
x + 2y = 8
3x - 4y = 4
19
O Subtract 2y from cach side of x + 2y = 8
O Add x + 2y = 8 to 3x - 4y = 4
O Multiply x + 2y = 8 by-3
O Set x + 2y equal to 3x - 4y = 4
What is that rate of change for the equation y=2x+60?
Answer:
2
Step-by-step explanation:
the rate of change is basically the slope. In this equation the coefficient of x is the slope. The coefficient of x is 2. So 2 is your slope
please help and answer......
Answer:
C not like terms
Step-by-step explanation:
Answer:
the answer is LIKE TERMS because 10 doesnt have a variable of y
Step-by-step explanation: Brainliest please.
Write each percent as a fraction in simplest form. 16%
PLEASE CAN YOU ANSWER THIS? AND IF YOU CAN PLEASEEEEEEEEEE EXPLAIN HOW YOU GOT IT, THANKS!
Answer:
[tex]\frac{4}{25}[/tex]
Step-by-step explanation:
16% is equal to [tex]\frac{16}{100}[/tex]
[tex]\frac{16}{100}[/tex] can be simplified by dividing by 2, giving you [tex]\frac{8}{50}[/tex], which can be divided by 2 again, giving you [tex]\frac{4}{25}[/tex].
[tex]\frac{4}{25}[/tex] can't be simplified again.
Answer:
16% = 4/25
Step-by-step explanation:
First, turn the percentage (16%) into a fraction with 100 in the denominator:
16% = 16/100
Now, you just need to simplify 16/100:
16/100
= 4/25
Both sides were divided by 4 to get the most simplified answer because 4 is the greatest common factor of 16 and 100.
HELP PLEASE QUICK multiple choice.
What is the solution set of the equation?
7w2=1183
{−28,561, 28,561}
{−13, 13}
{−91, 91}
{−169, 169}
Answer:
{-13, 13}
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
{−13, 13}
Answer:
Solution given:
7w²=1183
w²=1183/7
w=√(169)
w=±13
hi pls help! :)
!!!!!!!!!!!!!!!!!
Answer:
y=14
x=30
Step-by-step explanation:
I dont know the equation but here are the measure of the angles
3y+5=43 y=14
2x=60 x=30
Adult tickets to a musical cost $15 and children's tickets cost $8. A total of 725 tickets were sold which brought in a total of $8775.
How many of each type of ticket were sold?
State the equation used to solve, along with both answers.
Given:
Cost of adult's ticket = $15
Cost of children's ticket = $8
Total tickets = 725
Total sales = $8775
To find:
The number of each type of ticket were sold.
Solution:
Let x be the number of adult tickets and y be the number of children's ticket.
Total tickets : [tex]x+y=725[/tex] ...(i)
Total sales : [tex]15x+18y=8775[/tex] ...(ii)
Multiply equation (i) by 15.
[tex]15x+15y=10875[/tex] ...(iii)
Subtract (iii) from (ii),
[tex]15x+18y-15x-15y=8775-10875[/tex]
[tex]3x=-2100[/tex]
[tex]x=-700[/tex]
Putting x=-700 in (i), we get
[tex]-700+y=725[/tex]
[tex]y=725+700[/tex]
[tex]y=1425[/tex]
Therefore, the number of adult tickets is -700 and number of child tickets is 1425.
Note: The number of tickets cannot be negative. So, there must be some error in the question.
How many solutions does the equation 3x – 2x + 4 = 2 + x + 2 have?
A two solutions
B. infinitely many solutions
O
C. no solution
D. one solution
Please help!!!!! The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below. Drawing Tools Select Line Click on a tool to begin drawing.
Answer:
g(x) = - x + 1Step-by-step explanation:
Lets get the equation for the graphed function
Using two points:
(0, -6) and (3, 0)Y-intercept is known, it is -6 as per the first point
Slope is:
m = (y2 - y1)/(x2 - x1)m = (0+6)/(3-0) = 6/3= 2So the function f is:
f(x) = 2x - 6g(x) is going to be
g(x) = -1/2f(x + 2) = -1/2 (2(x+2) - 6) = -1/2(2x + 4 - 6) = -1/2(2x - 2) = - x + 1So
g(x) = -x + 1The graph is attached
Answer: g(x) = - x + 1 i think
Step-by-step explanation:
Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0
find area and perimeter
pls show work
Step-by-step explanation:
ok so first you can split the object into 2 different shapes like the first picture.
next you can start with shape labeled 1
and the perimeter of that would be 5+5+4+4 =14
so the perimeter is shape 1 is 14
the area would be5×4 which is 20
now shape 2 the perimeter of that would be 8+8+2+2 which is 20
the area would be 8×2 which would be 16
so then you add the are and perimeter of each shape together
p= 14+20=34
a= 20+16= 36
Write an expression equivalent to (6x + 4y) – 2y by combining like terms.
Answer: 6x + 2y
Step-by-step explanation:
Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda
Answer:
Step-by-step explanation:
this ratio of (1/8) to (1/4) can be written as a fraction
however, since we want to find out how much salt is needed for one teaspoon of baking soda, salt is the numerator (top) of the fraction and baking soda is the denominator (bottom) of the fraction
(1/8)/(1/4)
(1/8)x(4/1) when you divide fractions the second fraction switches the top and bottom
(1/8)x4
4/8
1/2
1/2 or 0.5 teaspoons of salt are needed per teaspoon of baking soda
What is the slope intercept form of the equation 4x-8y=72
Answer:
y = 1/2x - 9
General Formulas and Concepts:
Alg I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: 4x - 8y = 72
Step 2: Find slope-intercept form
Subtract 4x on both sides: -8y = 72 - 4xDivide both sides by -8: y = -9 + 1/2xRewrite: y = 1/2x - 9Identify the property on this equation 4x + 3 = 3 + 4x
Answer:Infintely many
Step-by-step explanation:
Step 1:4x+3=3+4x. Subract 3 from both sides
Step: 4x=4x. Because 4x=4x,if it was 3x=4x it would be no solution.
Answer: Commutative Property of Addition
The general rule for this is a+b = b+a
We can add any two numbers in any order we want.
Example: Since 2+3 = 5 and 3+2 = 5, we know 2+3 = 3+2
Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
15 points!
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Answer:
Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EFReflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with EStep-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
__
Additional comment
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
Answer:
Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
__
Additional comment
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
i need help with this 293 ÷ 102
the answers are:
2.93
29.3
293
2,930
Answer: 2.93
Step-by-step explanation:
The answer is appx. 2.8725, when rounded up it becomes 2.93.
Answer:
2.93
Step-by-step explanation:
A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true
Answer:
Option (4)
Step-by-step explanation:
Transformations like translation, rotation, dilation and reflection are the examples of rigid transformations.
Since, size and shape remains unchanged in the rigid transformation,
Image of a parallelogram will remain the same (congruent) after the given transformations.
Therefore, Option (4) will be the answer.
Draw the straight line y= 2-x
Answer:
Step-by-step explanation:
y = 2 - x
(0, 2)
(1, 1)
(2, 0)
The attached graph represents the line of y = 2 - x
How to draw the line?The equation of the line is given as:
y = 2 - x
The above is a linear equation that has the following features:
Slope = -1y-intercept = 2Next, we draw the line using a graphing tool
See attachment for the line of y = 2 - x
Read more about linear equations at:
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help plzzzzzzzzzzzzzz
Who needs help with Ratios?
2:3 OR 2 to 3 : or 2/3
Willing to help
Answer:
2/3 is the best
