Answer:
C. The x-terms are the same, and the constant terms are the same.
Step-by-step explanation:
Solve for x:
7 (x - 4) = 8 (x + 8)
Hint: | Write the linear polynomial on the left-hand side in standard form.
Expand out terms of the left hand side:
7 x - 28 = 8 (x + 8)
Hint: | Write the linear polynomial on the left-hand side in standard form.
Expand out terms of the right hand side:
7 x - 28 = 8 x + 64
Hint: | Move terms with x to the left-hand side.
Subtract 8 x from both sides:
(7 x - 8 x) - 28 = (8 x - 8 x) + 64
Hint: | Combine like terms in 7 x - 8 x.
7 x - 8 x = -x:
-x - 28 = (8 x - 8 x) + 64
Hint: | Look for the difference of two identical terms.
8 x - 8 x = 0:
-x - 28 = 64
Hint: | Isolate terms with x to the left-hand side.
Add 28 to both sides:
(28 - 28) - x = 28 + 64
Hint: | Look for the difference of two identical terms.
28 - 28 = 0:
-x = 64 + 28
Hint: | Evaluate 64 + 28.
64 + 28 = 92:
-x = 92
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of -x = 92 by -1:
(-x)/(-1) = -92
Hint: | Any nonzero number divided by itself is one.
(-1)/(-1) = 1:
Answer: x = -92
Use long division to convert the rational number 5/16 to its equivalent decimal form
Answer: the answer would be 0.3125
Just use a calculator and type in 5 divided by 16 :)
Data were collected on two variables, x and y, to create a model to predict y from x. A scatterplot of the collected data revealed a curved pattern with a possible cubic relationship (y=ax^3, where a is a constant) between the variables. Which of the following transformations would be most appropriate for creating linearity between the variables?
A - Taking the cube of y
B - Taking the cube root of y
C - Taking the cube root of both y and x
D - Taking the log of y
E - Taking the log of both y and x
Answer:
B - Taking the cube root of y
Step-by-step explanation:
Data provided in the question
y = ax^3
Based on the above information
Now we take the cube root of y
So, it would be calculated below:
y1/3 = a1/3 × x
So
As it can seen by the above equation there is a linear relationship between the cube root of y and x
Therefore, the correct option is B.
Hence, all the other options are wrong
Linearity is the concept used to describe linear relationships between variables.
The appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x
The function is given as:
[tex]\mathbf{y = ax^3}[/tex]
The function is a power function (i.e. cube of x)
To create linearity between power function, we simply take the logarithms of both variables
So, we have:
[tex]\mathbf{\log(y) = a\log(x^3)}[/tex]
Apply law of logarithm
[tex]\mathbf{\log(y) = 3a\log(x)}[/tex]
Hence, the appropriate method for creating linearity between the variables is: (e) Taking the log of both y and x
Read more about linearity between variables at:
https://brainly.com/question/11496246
A line of symmetry for the figure is shown in red. Find the coordinates of point A. (Photo attached)
Answer:
a. Coordinate of A (-4,-1)
b. Coordinate of A (4,4)
c. Coordinate of A (-2,2)
at the bank , mr smith changes a e5 note for 20p pieces . how many 20 pieces does he have
Answer:
it should be 25
Step-by-step explanation:
£500 = 500p
500 ÷ 20 = 25
There are 22 students in a 6th grade class. For the class field trip, they went to the local museum. Admission to the museum was $7 a person. After going to the museum, they went to the art festival. Admission to the art festival was $4 a person. Each student paid $12 for the field trip and the bus. What is the total amount of money the teacher collected from the students?
Answer:
$264
Step-by-step explanation:
There is some useless information that you need to ignore. The only important numbers is 22 students that each paid $12, so multiply them together to get $264.
Answer:
528
Step-by-step explanation:
12*2=24
24*22=528
Round to the nearest tenth: 0.087
Answer:
0.1
Step-by-step explanation:
When rounding, look at whether or not the number is less than 5, or greater than or equal to 5.
If it is greater than 5, you will round up to the next number.
In this number, 8 is greater than 5. This means to the nearest tenth, it will be rounded to 0.1
Answer:
0.1
Step-by-step explanation:
0.087
The number to the right of the decimal is always the tenth's place. To the left of the decimal is the one's place 8 is a high number, so you are rounding up because 5 or higher is always a high number. If it was a low number, you round down because a low number is 4 and under.
Hope this helps
Solve r-x+2y = 1 for y
Answer:
y=(1-r+x)/2
Step-by-step explanation:
(r-x)+2*y=12*y=1-(r-x)y=(1-r+x)/2A shirt cost 160$ last week. The price of a shirt has increased 48$ this week. What was percentage increase in price?
Answer:
30%
Step-by-step explanation:
% = increase/original * 100%
= 48$/160$ * 100%.
= 48/160 * 100%
= 30%
Answer:
30%
Step-by-step explanation:
percentage=increased marks / marks before increased*100
=48/160*100
=30%
therefore the percentage increase in price is 30%
I hope this will help u
Best of luck
Find the slope of the line that passes between the points (4, 3/8) and (6, 7/8)
Answer:
1/4
Step-by-step explanation:
We have two points, so we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7/8 - 3/8 ) / ( 6-4)
= ( 4/8) /2
= 1/2 / 2
= 1/4
HELP THIS IS MY LAST MATH QUESTION PLEASE HELP MEEEE!
Answer:
length =6 2/3 option 2.......
Help please help pre Algebra
Answer:
none is a solution...the solution.is -3
You don’t have ti explain just tell me if it’s true or not
Answer:
no its not true
Step-by-step explanation:
5. Translate this sentence into an equation. 23 more than Hector's savings is 75. Use the
variable h to represent Hector's savings.
Answer:
h+23=75
Step-by-step explanation:
This is true because x is basically h, and if its more then you add.
Latoya drove 335 miles in 5 hours.
At the same rate, how long would it take her to drive 603 miles?
Answer:
It would take her 9 hours because she would be going 67mph
Step-by-step explanation:
335mph divided by 5 hours is 67mph
what is the slop between (2,7) and (10,22) on fraction form
Answer:
m=15/8
Step-by-step explanation:
Slope intercept form- Y=mx+b
Slope- 15/8x
Y- intercept- (0,13/4)
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
it is 25 percent
Step-by-step explanation:
in a decimal it is 0.25
What is the approximate length of minor arc XZ
Answer:
3.7
Step-by-step explanation:
2r(pi)(∅/360)
2*3*(pi)*(70/360)
6*(pi)*(0.19444...)
3.665191429188092
3.7
a high school had 740 students at the start of the year but then some students left the school after , that the school had 726 students .
if s = the number of students who left the school which mathematical sentence expresses the information above?
Answer:
I believe it's 726=740-S
Answer:
s = 740 - 14
Hope it helps u
solve the following : -6x(-2) =
Answer:
12
Step-by-step explanation: Just do 6 x 2
the degree of non constant zero polynomial is
Answer:
it is zero . zero is the degree of zero polnomial
Can you please solve? And if anyone can please explain how to do this, thank you so much!
Answer:
15
Step-by-step explanation:
Both angles can add up to 180, so what I did was 7t-6 plus 5t+6=180. From there, I combined both positive 6 and negative 6 to which they cancel out. All that leaves is 7t+5t, which is 12t. Finally leaving 12t=180, so divided both sides by 12 to remove the 12 from 12t. 180/12=15. I think this is correct, but I am not sure. Please do check
Answer:
15
Step-by-step explanation:
ig my question was deleted lol
Find the midpoint M of the line segment joining the points R = (-3,-7) and S = (1, -1).
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}[/tex]
Step-by-step explanation:
Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).
[tex] \text{Finding \: the \: midpoint} : [/tex]
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2 } \: , \frac{y1 + y2}{2} )}}[/tex]
[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \:, \frac{ - 7 + ( - 1)}{2} })[/tex]
[tex] \text{Remember} : [/tex]
( + ) * ( - ) = ( - )( - ) * ( + ) = ( - )( + ) * ( + ) = ( + )( - ) * ( - ) = ( + )[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \: , \frac{ - 7 - 1}{2} )}[/tex]
[tex] \text{Remember} : [/tex]
The positive integers are always added and posses the positive ( + ) sign.The negative numbers are always added but posses the negative sign ( - ).The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \sf{➳midpoint = ( \frac{ - 2}{2} \: , \frac{ - 8}{2} )}[/tex]
[tex] \sf{➳midpoint = ( - 1 \:, - 4})[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
[tex] \text{TheAnimeGirl}[/tex]
Same has 3 apples Carly has 8 how many apples do Sam Carly have together
Grant is making muffins for a reunion. The recipe to makes 12 muffins. The recipe for bran muffins makes 18 muffins. He wants to make the same number of each kind of muffin using only recipes of each. A. What is the least number of each type of muffin Grant can make B. How many batches of each recipe will Grant make if he makes t number of each type of muffin possible? Blueberry: batches Bran: batches
Answer:
a 36
b 3 blueberry, 2 bran
to celebrate the end of the school year, Gabby and her friends go out for pizza. the total bill is $37.84. if the 4 people split the cost evenly, how much does each person pay?
Answer:
9.46, u get this by dividing 37.84 by 4
Step-by-step explanation:
Answer:
9.46
Step-by-step explanation:
p- 6= -5 what is the answer (NEED HELP)
Answer:
P=1
Step-by-step explanation:
1-6=-5
For the function h(x) = 9 + 6x , what is the domain of function h if the range is {-12, -3, 15, 24}? TIMED!WILL GIVE BRANLIEST!
A. {−3.5, −2, 1, 2.5}
B. {−3, 6, 24, 33}
C. {−63, −9, 99, 153}
D. {−0.5, 1, 4, 5.5}
Answer:
A. {−3.5, −2, 1, 2.5}
Step-by-step explanation:
Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:
y=9+6x
6x=y-9
[tex]x=\frac{y-9}{6}[/tex]
So we just insert the values, the first one being -12.
[tex]x=\frac{y-9}{6}\\x=\frac{-21}{6}\\x=\frac{-12-9}{6}\\x=-3.5[/tex]
So since from the options only A has -3.5 as an option that's the correct answer.
A firm makes bulldozers (B), cranes (C) and tractors (T) at two locations, New York City (NYC) and Los Angeles (LA). The matrices below show the number of each item made in each location for the months of January (J) and February (F).
B C T
J = NYC 144 474 274
LA 598 572 302
B C T
F = NYC 424 492 546
LA 596 530 164
Required:
Suppose the production for March of all products at all locations was the average of the January and February production. Write an expression using the matrices J and F for the March production matrix M.
Answer:
The expression is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ C \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right][/tex]
Step-by-step explanation:
From the question we are told that
The number of each items made in the month of January[J] is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ C \ \ \ \ \ \ T\\J = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{144}&{474 }&{274}\\{598}&{572}&{302}\\\end{array}\right][/tex]
The number of each items made in the month of February[F] is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ C \ \ \ \ \ \ T\\J = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{ 424}&{492}&{546}\\{596 }&{530}&{164}\\\end{array}\right][/tex]
Generally given that the production for March of all products at all locations was the average of the January and February production then the number of each items made in the month of March[M] is
[tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ \ \ \ \ \ \ \ C \ \ \ \ \ \ \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{\frac{144 +424}{2}}&{\frac{474 +492}{2}}&{\frac{274 +546}{2}}\\{\frac{598 +596}{2}}&{\frac{572 +530}{2}}&{\frac{302+164}{2}}\\\end{array}\right][/tex]
=> [tex].\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ C \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right][/tex]
A friend asks to borrow $250 for 100 days and agrees to pay 36.5% annual simple interest. How much interest will you earn? Assume that one year has 365 days
Answer:
$25
Step-by-step explanation:
We express the interest rate r in decimal form, so we have r=36.5%=36.5100=0.365. We express the time t in years, so we have t=100365. The principal is P=250, so the interest is I=Prt=(250)(0.365)(100365)=$25. The interest earned is $25.
URGENT SOLVE
13 - 2n = 19
Answer:
n=−3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
13−2n=19
13+−2n=19
−2n+13=19
Step 2: Subtract 13 from both sides.
−2n+13−13=19−13
−2n=6
Step 3: Divide both sides by -2.
−2n/−2=6/−2
[tex]13 - 2n = 19[/tex]
Subtract sides -13
[tex]13 - 13 - 2n = 19 - 13[/tex]
[tex] - 2n = 6[/tex]
Divided sides by -2
[tex] \frac{ - 2}{ - 2}n = \frac{ 6}{ - 2} \\ [/tex]
[tex]n = - 3[/tex]
Done....♥️♥️♥️♥️♥️