Answer:
h(3x)=18x^2-12x-7
Step-by-step explanation:
[tex]h(x)=2x^2-4x-7\\h(3x) = ?\\\\h(3x) = 2(3x)^2 -4(3x)-7\\\\h(3x)=2\left(3x\right)^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-12x-7\\\\h(3x)=18x^2-12x-7[/tex]
Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}
Answer:
C. {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}
Step-by-step explanation:
I just did the quiz. Basically all you do is switch the x and y values for each coordinate pair in order to see if it would pass the line test. If it has double X values, it is not a function with an inverse function.
What is this? k/8-5≥-6
Answer:
k≥-8
Step-by-step explanation:
Seela rented a raft from River Rafter's Inc. She paid $100
to rent the raft and $25 for each hour. Martin rented a
raft from Oscar's Outdoor Shop. He paid $50 to rent the
raft and $35 per hour. For what number of hours will
both rafting companies charge the same amount?
Answer:
she paid $125 while he paid $85
Step-by-step explanation:
Scott made $169 for 13 hours of work at the same rate how much would he make for five hours of work
Answer:
$65
Step-by-step explanation:
169 ÷ 13 = 13
13 × 5 = 65
Jamal borrowed 4000 to buy a used car he borrowed some of the money from a bank that charged 9.2% simple interest and the rest from a friend who charged 12% simple interest. If the total interest for a one year loan was 424.00 how much did jamal borrow at each rate
Answer:
2000 ; 2000
Step-by-step explanation:
Given the following :
Total amount borrowed = 4000
Total interést paid = 424
Simple interést = (principal * rate * time)
Rate 1 = 9.2% = 0.092
Rate 2 = 12% = 0.12
Let amount borrowed at 9.2% = x
Amount borrowed at 12% = y
x + y = 4000 - - - - (1)
x * 0.092 + y * 0.12 = 424
0.092x + 0.12y = 424 - - - - (2)
from (1):
x = 4000 - y
0.092(4000 - y) + 0.12y = 424
368 - 0.092y + 0.12y = 424
368 + 0.028y = 424
0.028y = 424 - 368
0.028y = 56
y = 56/0.028
y = 2000
x + y = 4000
x = 4000 - 2000
x = 2000
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water. Find the height of the dock.
Given :
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.
To Find :
The height of the dock.
Solution :
This will make a right angle triangle as given in link below .
Now , applying Pythagoras theorem :
[tex](2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0[/tex]
Now , h = 5 or h = -9 .
Now , height cannot be negative .
So , height of the dock is 5 ft .
Hence , this is the required solution .
The Zoo charges $14 per visit for non-members. To become a member of the Zoo you will be charged a $36 one-time fee $2 per visit. At what number of visits will a member and non-member pay the same amount?
Answer:
7
Step-by-step explanation:
You divide the number of visits and the price. 14÷2=7
Which equation models this relationship? Help plz
Answer:
Hey there!
t=5d.
This means that for every hour she walks, she will walk five miles.
Let me know if this helps :)
Find the absolute value |6|
Answer:
6
Step-by-step explanation:
Absolute value is the distance from 0, 6 is 6 units from 0
Two rays that intersect at a right angle are best described as which of the
following?
A. Parallel rays
B. Perpendicular rays
C. Skew rays
D. Intersecting rays
Answer:
B. Perpendicular rays
Step-by-step explanation:
Definition Perpendicular: Perpendicular lines, rays, or segments intersect at right angles. If lines, rays, or segments are perpendicular, then they are right angles. If lines, rays, or segments intersect. at right angles, then they are. perpendicular.
Hope this Helps
The rays that intersect at a right angle are perpendicular rays option (B) is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.
As we know,
From the definition, the perpendicular lines are the lines that intersect at right-angle or 90 degrees.
Two rays that intersect at a right angle are perpendicular rays.
Thus, the rays that intersect at a right angle are perpendicular rays option (B) is correct.
Learn more about the perpendicular line here:
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What is the distance between the points (−3, 5) and (−3, −9)? A) 4 B) 6 C) 11 D) 14
Answer: D)14
Step-by-step explanation: The x-factors are both -3 but the y-factors are different so you count the distance between them
tell if is: < or >
Answer:
-9 < -1
21/5 < 17/4
Answer:
-9 < -1
21/5 < 17/4
Step-by-step explanation:
A) when a number isnegitv ethe "smaller" number has more value. You would rather loose one doller than 9, right?
B) 21/5 = 4.20
17/4 = 4.25
and .25 os bigger than .20
The floors in an apartment building belong to different ____.
a.
rays
b.
segments
c.
planes
d.
points
Answer:
B. Segments
Step-by-step explanation:
"...divide (something) into separate parts or sections."
Definition of Segment
Hope it helps! :3
Answer: it would have been segment or planes Im not 100% sure
Answer the question please for me!!!
Answer:
4
Step-by-step explanation:
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money? The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time. The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time. The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time. The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
A. The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
Hope this helps!
Step-by-step explanation:
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.
Given that,
Leticia invests $200 at 5% interest.
If y represents the amount of money after x time periods.
We have to determine,
Which describes the graph of the exponential function relating time and money?
According to the question,
The graph represents the exponential function relating time and money.
Where y represents the amount of money after x time periods.
After 1 period the amount of money is,
[tex]\rm f(x) = 200 + 200\left(\dfrac{5}{100}\right)\\\\f(x) = 200(1+0.5)\\\\f(x)= 200(1.5)\\\\[/tex]
After 2 periods the amount is,
[tex]\rm f(x) = 200(1.5) \times (1.5)\\\\f(x) = 200. (1.5)^2[/tex]
After 3 periods the amount is,
[tex]\rm f(x) = 200(1.5)^2 \times (1.5)\\\\f(x) = 200. (1.5)^3[/tex]
Therefore,
The amount after x period is,
[tex]\rm f(x) = 200(1.5)^x[/tex]
The initial value is when x = 0,
[tex]\rm y = 200 (1.05)^0 \\\\y = 200\times 1\\\\y = 200[/tex]
And the increasing factor is 1.05 because any value is the previous one times 1.05.
Hence, The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time the graph of the exponential function relate to time and money.
For more details refer to the link given below.
https://brainly.com/question/17407467
Solve for x 5x - 5 = 5
Polynomial equation solver
5x - 5 = 5
Standard form:
5x − 10 = 0
Factorization:
5(x − 2) = 0
Solutions:
x = 10
5
= 2
The statement “1cm represents 2m” is the scale of the drawing. It can also be expressed as “1cm to 2m” or “1cm for every 2m.” What do you think the scale tells us?
Answer:
A scale is a way to resize drawings or figures to make them fit into a particular size.
Step-by-step explanation:
In 2D drawing or diagrams, a scale factor greater than 1 enlarges the object, while a scale factor between 0 and 1 shrinks the objects, also using a scale factor of 1 changes nothing or leaves the drawing the way it is.
Furthermore, scales are represented in ratio form 1:2, telling us that say 1cm in the virtual environment or paper represents 2km in reality
Is 5.231 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q.
Hope This Helps :)
AYUDAA es para hoyyy Un avión volaba a 14.800 metros de altura . Primero , bajo a 23.000 decímetros y luego 54 hectometros más a qué altura en kilómetros vuela ahora ? EN ESPAÑOL LA RESPUESTA POR FAVOR Gracias
Answer:
7.1 km or 7.1 kilometer
Step-by-step explanation:
Esta pregunta se resuelve mediante la conversión de unidades SI. Nuestra respuesta final será en kilómetros, por lo tanto, estamos convirtiendo todos los valores dados a kilómetros.
De la pregunta, tenemos la siguiente información:
Altura de vuelo actual del avión = 14.800 metros
1 metro = 0.001 kilómetro
14,800 metros =
14,800 × 0.001
= 14.8 kilómetros
Avión que descendió primero = 23.000 decímetros
1 decímetro = 0.0001 kilómetro
23,000 decímetros =
23,000 × 0.0001 kilómetro
= 2.3 kilómetros
Descendió la segunda vez = 54 hectómetros más
1 hectómetro = 0.1 kilómetro
54 hectómetros =
54 × 0.1 kilómetro
= 5.4 kilómetros
Por lo tanto, la altura en kilómetros que vuela el avión ahora se calcula como
14.8 km - 2.3 km - 5.4 km
= 14.8 km - (2.3 km + 5.4 km)
= 14.8 kilometros - 7.7 kilometros
= 7.1 kilometros
Por lo tanto, el avión vuela actualmente a 7.1 km o 7.1 kilómetros.
The 5 staring members of the basketball team are lining up for a picture.How many different ways can the players be lined up for the picture?
Answer:
120 different waysStep-by-step explanation:
If 5 staring members of the basketball team are lining up for a picture, the number of different ways the players can be lined up is expressed as 5!.
5! = 5*4*3*2*1
5! = 20 * 6
5! = 120
Hence the number of different ways that the players can be lined up for the picture is 120 different ways
Please Help me with this Problem
Answer:
D
Step-by-step explanation:
When y = 0 then we are on the x- axis thus x = - 2 and x = 3 are zeros
The corresponding factors are (x + 2) and (x - 3)
The corresponding equation is the product of the factors, that is
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
Solve the equation: only write the number is the box
2( 5x+2)=54
Answer:
x = 5
Step-by-step explanation:
Step 1:
2 (5x + 2) = 54
Step 2:
10x + 4 = 54
Step 3:
10x = 50
Answer:
x = 5
Hope This Helps :)
Answer:
x = 5
Step-by-step explanation:
2(5x+2)=54 (distribute)
10x+4=54 (subtract the 4 on both sides)
-4 -4
10x = 50 (divide 10 on both sides)
10 10
x = 5
What is (5x10 + 24÷12)
Answer:52
Step-by-step explanation
Answer:
Hey!
Your answer is 52
Step-by-step explanation:
5 x 10 = 50
24 ÷ 12 = 2
Because they are in the same brackets, you do the calculations simultaneously!
50 + 2 = 52
HOPE THIS HELPS!
Got another question for you guys! What is 12.5 x 4.2?
Answer:
52.5
Step-by-step explanation:
if 12 people can finish a job by 5 days how many days will be required finish the same job by 10 people
Answer:
4
Step-by-step explanation:
12p=5d
1p=5/12
10p=4.1666
≈4 days
6x* 10 = 160
what the result of X ?
Answer:
x=8/3
Step-by-step explanation:
6x*10=160
6x=16
x=16/6
x=8/3
Answer:
[tex]x = 8 \div 3 \\ \\ [/tex]
find the additive inverse of 1/2 + 1/6 + 1/12
Answer:
3/4
Step-by-step explanation:
Appreciate any help ^^ completely lost
Answer:
B
Step-by-step explanation:
4x²/2 √x^4/4x²
2x²√x²/4 ( equal to C)
4x²/2(x²/2x)
2x²(x²/2x)=
2x^4/2x =x³ ( equal to A) or √x^6 ( equal to D) also E x²√x²=x^3
Pls help I never did this before
Answer:
16 and 64
Step-by-step explanation:
When you sqaure root 16, you get 4
When you cube root 64, you get 4
Answer:
[tex]\sqrt{16}[/tex] and [tex]\sqrt[3]{64}[/tex]
Step-by-step explanation:
let me know if u need this explained
Números multiplicados que den 10?
The numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
What is multiplication?Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division.In math, multiply means the repeated addition of groups of equal sizes.Given is two multiply two numbers to give 10.
The numbers that multiply to give 10, we get -
2 x 5 = 10
5 x 2 = 10
2.5 x 4 = 10
Therefore, the numbers that multiply to give 10 are -
2 x 5
5 x 2
2.5 x 4
To solve more questions on multiplication, visit the link below -
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{Question in english is given below -
Multiplied numbers that give 10}