Answer:
Combining and simplifying [tex]48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})[/tex] we get [tex]\mathbf{-4x-34y-32}[/tex] or we can write as [tex]\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}[/tex]
Step-by-step explanation:
We need to combine and simplify
[tex]48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})[/tex]
First we will combine like terms and then perform the mathematical operations like addition or subtraction.
Like terms: terms having same variable
[tex]48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})[/tex]
Now we take LCM of like terms
[tex]=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})[/tex]
Now, we can multiply 48 with terms inside the bracket.
we can simplify the terms if they are both divisible by same number.
[tex]=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32[/tex]
So, Combining and simplifying [tex]48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})[/tex] we get [tex]\mathbf{-4x-34y-32}[/tex] or we can write as [tex]\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}[/tex]
The domain on which the following function is increasing
The domain on which of the following function is increasing is [0,4].
Given:
The graph of a function.
To find:
The domain on which of the following function is increasing.
Domain is the set of x-values or input values.
From the given graph it is clear that the vertex of the given function is at (4,75).
Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.
The function is defined for 0≤x≤9 .
Since the graph is increasing when 0≤x≤4 , therefore the function is increasing over the interval [0,4].
Therefore, the domain on which of the following function is increasing is [0,4].
What is domain?
The domain is the value that x can take from a given function and codomain is the value of y from a function.
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what is the answer please help
Answer:
B: 22.5 degrees
Step-by-step explanation:
The interior angles of a pentagon add up to 540 degrees
(if you dont believe me you can turn a pentagon into three triangles, 3x180 = 540)
So you have four same angles say measure "x" degrees, and one final one that measures "5x" degrees, so 9x = 540, and x = 60
Unless I read the problem wrong, 60 degrees is the answer which is not an option :P
Edit: Yea I read it wrong, the final angle is 5 times the other four angles COMBINED, so that angle measures "20x" degrees.
The total would be 24x = 540, and so x = 22.5
The first side of a triangle measures 5 in. less than the second side, the third side is 3 in. more than the first side, and the
perimeter is 17 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
s-5
S-2
s+3
Answer:
see explanation
Step-by-step explanation:
let s be the second side then the first side is s - 5 and the third side is
s - 5 + 3 = s - 2
-------------------------
the perimeter (P) is the sum of the 3 sides of the triangle.
given P = 17 , then
s - 5 + s + s - 2 = 17
3s - 7 = 17 ( add 7 to both sides )
3s = 24 ( divide both sides by 3 )
s = 8
third side = s - 2 = 8 - 2 = 6 in
if 4-3(2-x)<10+x what is the greatest possible integer value of x?
Answer:
4-3(2-x) < 10+x
4 -6 +3x< 10 + x
-2 +3x< 10 +x
2x< 12
x<6
↣ First we solve the Inequality.
[tex]4-3(2-x)<10+x[/tex]
[tex]4-6+3x<10+x[/tex] ↣ Distribute -3 in (2-x) for easier in solving.
[tex]3x-2<10+x\\3x-x<10+2\\2x<12\\x<6[/tex]
Thus, the answer is x < 6.
↣ Therefore, the greatest possible Integer value of x is 5.
Which of the following can be used to prove that triangle ABC is congruent to triangle DEF?
Answer:
SAS congruence theorem
Step-by-step explanation:
since we are given the two congruent sides and the right angle. We know all right angles are congruent and the right angle is an angle that is between the two sides which is why it is SAS. hope this helps :))
There are 3072 books in the school library if 96 students reads the same number of books how many books would each student need to read?
Answer:
32 books each
Step-by-step explanation:
f(x) = x + 9, g(x) = x2 − 4x, h(x) = x4 + 2x3
What is the degree of (f º g º h)(x)?
7
8
21
24
Answer:
the degree of the function is 8
Step-by-step explanation:
(f º g º h)(x) = [tex]f(g(h(x)))[/tex]
first lets evaluate g(h(x))
[tex](x^4 + 2x^3)^2 - 4(x^2 + 2x^3)[/tex]
simplify
[tex]x^8 + 4x^3 + 4x^6 - 4x^4 -8x^3[/tex]
[tex]x^8 + -4x^3 + 4x^6 - 4x^4[/tex]
you can easily see that the highest power term is 8 meaning the degree of the function is 8
Answer:
its 8 :)
Step-by-step explanation:
PLEASE HELP I HAVE 6 MINUTES LEFT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:the answer is D
Step-by-step explanation:
__Na2O + __ H2O → __NaOH
Answer:
Na20+H20 -> 2NaOH
Step-by-step explanation:
The graph of linear function f passes through the point (4,–2) and has a slope of –1.
What is the zero of f ?
Answer: 2
Step-by-step explanation:
y=mx + b
plug in known values
-2= (-1)(4) + b
b= 2
Equation: y= -x+2
graph and locate the x-intercept
The various categories that are being graphed on a circle graph usually indicate what?
a. patterns
c. percentages
b. the title of the graph
d. a pie graph
The categories that are graphed on a circle usually represent the percentage. Option C is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A circle graph represents the percentage fraction, and a pie chart is the form of a circle graph, Where a whole circle represents the 100% composition of the entities and data set.
Thus, the categories that are graphed on a circle usually represent the percentage. Option C is correct.
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Simplify the expression:
10t - 40 + 3t + t
Answer:
Your correct answer is 14t - 40
Step-by-step explanation:
Combine like terms:
10t + 3t + t = 14t
Since there are no other integers, just tag on the -40:
14t - 40
**please mark brainliest!!
Grant spent half of his weekly allowance. Then he earned $5 back by doing the dishes. What is his weekly allowance if he ended with $15?
Answer:
Grant's weekly allowance is $20.
Step-by-step explanation:
We know that Grant ended with $15. We can say that Grant's weekly allowance is x.
x/2 + 5 = 15
Now to solve:
x/2 + 5 - 5 = 15 - 5 (subtract 5 from both sides to isolate the x/2)
x/2 = 10
x/2 * 2 = 10 * 2 (multiply both sides by 2 to isolate the x)
x = 20
Grant's weekly allowance is $20.
Which tables represent functions?
Answer:
They provide a general summary of the status of all your Outbound, Inbound, Third Party and Import shipments. They allow you to classify and reorder the data in the table. Allow you to use filters to reduce the amount of shipment information displayed in the view
Answer:
table a
Step-by-step explanation:
when a number gets put in, its only going to have 1 output. table b have 7 put in and 2 different outpputs which means its wrong ,
so table a is right
hope this helps
take care
what is the correct decimal expansion of 55/35
i am in middle school
Answer:x[tex]\geq[/tex]35/2
Step-by-step explanation:
4x-5[tex]\geq[/tex]65
4x-5+5[tex]\geq[/tex]65+5
4x[tex]\geq[/tex]70
4x/4[tex]\geq[/tex] 70/4
x[tex]\geq[/tex]35/2
Please help due soon
If x - y2 = 6 and x - y = 2, find the value of (x + y)2.
Step-by-step explanation:
so so first you have to use that common sense and see what y is equal to and what x is equal to
I would give you a proper explanation but first you have to think before I can helpFind the inverse. PLEASE HELP ME asap!!!!! thank you!!!!!! *will give brainliest*
Answer:
A
Step-by-step explanation:
I need help with this one
Answer:
c
Step-by-step explanation:
4) The speed of light is 3 x 10^8 meters per second. The distance to the
sun is 1.5 x 10^11 meters. How long does it take light to reach the Earth
from the Sun. 0.5 seconds
5 seconds
50 seconds
500 seconds
Answer:
500 seconds
Step-by-step explanation:
This is a distance = rate × time problem
d = 1.5 × 10^11 m
rate = 3 × 10^8 m/s
So, d = rate × t
t = d ÷ rate = 1.5 × 10^11 m ÷ 3 × 10^8 m/s = 500 s
For a sledding trip you randomly select one of your four hats- red, blue with stripes, purple, or black. Write a ratio that compare the number of red hats to the number of total hats.
if you answer you get the brainlist idk the name
Which linear function has the same y-intercept as the one that is represented by the graph?
what’s the code for this puzzle?
Answer:
1. f
2. n
3. n
4. f
5. f
6. f
7. n
8. f
Solve the system using the elimination method. Answer in simplest fraction form. x+2y-z=3 -2x-y+z=-1 6x-3y-z=-7
For a real value of z, the general solution of above system of equations is x = -1/3 + (1/3)z, y = 5/3 + (1/3)z and z = z
In this question, we have been given a system of equations.
x+2y-z=3 ...........(1)
-2x-y+z=-1 ............(2)
6x-3y-z=-7 ...........(3)
We need to solve above system of equations using the elimination method.
We solve above system of equations by Gaussian elimination method.
First we write above system f equations in as an augmented matrix.
[tex]\begin{bmatrix}1 & 2 & -1 &|& 3 \\-2 & -1 & 1 &|& -1 \\6 & -3 & -1 &|& -7\end{bmatrix}[/tex]
We convert the augmented matrix into the row echelon form as:
[tex]\begin{bmatrix}1 & 2 & -1 & 3 \\0 & 3 & -1 & 5 \\0 & 0 & 0 & 0\end{bmatrix}[/tex]
So, we get an system of equations as:
x + 2y -z = 3 ............(4)
3y - z = 5 ...........(5)
From equation (5),
y = 5/3 + (1/3)z
Substitute above value of y in equation (4),
x = 3 - 2[5/3 + (1/3)z] + z
x = -(1/3) + (1/3)z
So, the general solution is,
[tex]\left(\begin{matrix}\frac{-1}{3}+\frac{1}{3}*z \\\\\frac{5}{3}+\frac{1}{3}*z \\\\z\end{matrix}\right)[/tex]
Therefore, for a real value of z, the general solution of above system of equations is x = -1/3 + (1/3)z, y = 5/3 + (1/3)z and z = z
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pls help , I’ll give you brainly
Answer:
your answer is C
Step-by-step explanation:
i took the quiz, may i have brainliest please! :D
help answer correctly and i will give you brainliest
Answer:
The slope is 2/3
Step-by-step explanation:
(3,2);(−3,−2)
(x1,y1)=(3,2)
(x2,y2)=(−3,−2)
Use the slope formula:
m= y2−y1 /x2−x1
-2−2 /−3−3
−4 /−6
2 /3
HELP ! I don’t get this math question
Answer:
what is it u gotta type it
PLEASE HELP FAST ILL GIVE BRAINLIST MAKE SURE YOU READ IT BEFORE YOU ANSWER ITS QUESTION 18
Answer:
D. y=3x+15
Step-by-step explanation:
find the slope
[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]
y=mx+b
plug in known values
3=3(-4) + b
b=15
y=3x+15
1/2 divided by 2/3 and how do you simply the answer
Answer:
3/4 or 0.75
Step-by-step explanation:
1. Cross multiply: (1/2) / (3/4)
2. 1 x 3 = 3 and 2 x 2 = 4
3. 3/4 or 0.75