Answer:
The value of g(f(3)) = 2
Step-by-step explanation:
We are given:
[tex]f(x)=2x[/tex]
[tex]g(x) = x-4[/tex]
And we need to find g(f(3))
First we need to find g(f(x))
by putting the value of f(x) into g(x) i.e put x = 2x
[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]
Now, we need to find g(f(3)) by putting x = 3 in g(f(x))
[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]
So, the value of g(f(3)) = 2
the equation of line L is y=5x+1
Consider the complete question is "The equation of the line [tex]L_1[/tex] is y=5x+1 and the equation of line [tex]L_2[/tex] is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of [tex]L_1[/tex] is [tex]y=5x+1[/tex].
Equation of [tex]L_2[/tex] is [tex]2y-10x+3=0[/tex].
To show:
The these line as parallel.
Solution:
We have,
[tex]y=5x+1[/tex] ...(i)
[tex]2y-10x+3=0[/tex] ...(ii)
Equation (ii) can be written as
[tex]2y=10x-3[/tex]
[tex]y=\dfrac{10x-3}{2}[/tex]
[tex]y=\dfrac{10x}{2}-\dfrac{3}{2}[/tex]
[tex]y=5x-\dfrac{3}{2}[/tex] ...(iii)
Slope intercept form of a line is
[tex]y=mx+b[/tex] ...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line [tex]L_1[/tex].
[tex]m_1=5[/tex]
On comparing (iii) with (iv), we get slope of line [tex]L_2[/tex].
[tex]m_2=5[/tex]
Since, [tex]m_1=m_2[/tex], therefore, lines [tex]L_1[/tex] and [tex]L_2[/tex] and parallel because slope of two parallel lines are always equal.
Hence proved.
which ratio does not represent the slope of a line
Answer:
more info please
Step-by-step explanation:
one more lol sprry for a lot of post
Answer:
A
Step-by-step explanation:
help me asap plssssssss
Answer:
Step-by-step explanation:
12 + 4c + c = c + 4
12 + 5c = c + 4
12 + 4c = 4
4c = -8
c =-2
what is the slope of the line
2x+12y-192
Answer:
-1/6
Step-by-step explanation:
To get the slope we need the equation in the form y=mx+c, and m is the slope.
2x+12y=192
12y = -2x + 192
y = -2/12 x + 16
-2/12 is the slope but this can be simplified to -1/6
Which statement describes the congruent triangles?
Z
Y
W
Х
AWXZ AYZX
AWXZ: AYXZ
AWXZ=AXYZ
AWXZ=AZYX
Answer:
it has to be b or c
Step-by-step explanation:
If Jared wanted to buy a t-shirt, how much would it cost him if he also had to pay a seven percent sales tax?
Answer:
it depends how much the shirt is too.
The price per night of a hotel room is $ 250.00 plus $15 per person staying in the room. Which function rule would be used to determine the price of a hotel room, p (x) given the number of people, x, staying in the room.
The equation is 250+15x is that's what your asking
The expression above can also be written in the form
Will mark brainliest!!!!! Please help
Answer:
but its somwere in 67
Step-by-step explanation:
Answer:
Have a great rest of ur day
Step-by-step explanation:
6x + 10 = - 2y
y=mx+b
Answer:
y = -3x - 5
Step-by-step explanation:
-2y = 6x + 10
divide both sides by -2
y = -3x - 5
-7/10 or -0.81 which is greater
Answer:
-0.81 one is greater
Step-by-step explanation:
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200
Answer:
Option A
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Step-by-step explanation:
Let the
Number of Adults = x
Number of campers = y
A summer camp cookout is planned for the campers and their families.
There is room for 200 people.
x + y ≤ 200
Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.
Maximum means the total cost is equal to or less than $750
$4 × x + $3 × y ≤ $750
4x + 3y ≤ 750
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Option A is correct
Given that, 1 Turkish lira = £0.17, convert £312 into Turkish lira. Give your answer to the nearest lira.
Answer:
£53
Step-by-step explanation:
According to the scenario, the computation of the given data are as follows,
1 turkish Lira = £0.17
Now convert £312 into turkish lira
So it can be calculated below:
= £0.17 × £312
= £53.04
After converting into turkish lira, it is £53
Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?
Answer:
63 employees.
Step-by-step explanation:
Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.To find the number of employees highered last year;
110% of employees represent 70
100% of the employees will represent;
Cross-multiplying gives;
[tex]\frac{100 * 70}{110} = 63.6[/tex]
To be realistic, 63 employees were highered last year.
What is the greatest common factor of 26 and 34?
Answer:
Answer is
2
Step-by-step explanation:
Lisa buys 0.56 pound of pasta. marlana buys 0.27 pound of pasta. how much do they buy in all?
Answer:
0000000000000000000000.83 pounds
On a map, 5 centimeters is equal to 140 kilometers. How far apart are two towns which are 18 centimeters apart on the map? A.39kilometers B.163 C.230kilometers D.504Kilometers
Answer:
504
Step-by-step explanation:
140 divided by 5 is 28 so for every centimeter there is 28 kilometers so 18x28=504
Complete the table by finding the values of y if y = −2x + 1.
Need ASAP!!! Please and thank you.
Answer:
1. 5
2.1
3.-1
4.-3
Step-by-step explanation:
Hope this helps :)
Pleaseee help me out!
In the triangle shown, what is the length of the hypotenuse?
Step-by-step explanation:
the answer is
[tex] \sqrt{136} [/tex]
..................
if it feels wrong
be free to correct ....
What is the lenth of EG
x = 78 + 10 = 88
So the lenght of EG is 88
Answer:
Step-by-step explanation
Multiply 54 + 24 and take the square root of both numbers
A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.
Answer:
Lower bound = 3.835
Upper bound = 3.844
Step-by-step explanation:
Given,
A number rounded to 2 decimal place = 3.84
In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.
Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.
Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.
Lower bound = 3.835
The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5
Upper bound = 3.844
write an expression where h is doubled then increased by 20%
2h*0.2
2h is h doubled
20% becomes 0.2
ten men clear a field of area 10 hectares in four days. How many hectares would 15 men clear in six days?
Answer:
22.5
Step-by-step explanation:
4 days=15
2days=7.5
6=22.5
83% of what number is 240? Round the answer to the closest tenth.
SYSTEMS OF EQUATIONS- How many solutions?
y = 5x - 10
y = 10 + x
O one solution
O no solution
O many solutions
Answer:
0ne solution; x = 5
Step-by-step explanation:
if y equals both 5x - 10 and 10 + x then you can do the following:
5x - 10 = 10 + x
4x = 20
x = 5
I’ll give you BRAINLEST PLEASE HELP
Answer:
Help with what?
Step-by-step explanation:
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
8 + (-10) just confused lol
ASAP SOLVE THE SLOPE
translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7