The simplified expression, 36a + 42b - 18a + 6 by combining the like terms is 18a + 42b + 6
How to simplify expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).
To simplify an expression means to write an equivalent expression which contains no similar terms.
Therefore, let's simplify the expression by combining the like terms.
36a + 42b - 18a + 6
Like terms can be defined as terms that contain the same variables raised to the same power.
36a + 42b - 18a + 6
combining the like terms
36a - 18a + 42b + 6
Therefore, the simplified expression is 18a + 42b + 6
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Solve the system of equations.
2x - 4y -z = 10
4x - 8y - 2z = 16
3x + y + z = 12
Answer:
no solution
Step-by-step explanation:
Divide both sides of the second equation by 2.
2x - 4y - z = 8
The first equation is
2x - 4y - z = 10
Subtract the simplified second equation from the first equation.
2x - 4y - z = 10
- 2x - 4y - z = 8
---------------------------
0 = 2
Since 0 = 2 is false, there is no solution.
Answer:no solution
Step-by-step explanation:
5 YEARS AGO, IT
COST $500/MONTH TO
RENT AN APARTMENT.
TODAY, THAT
COST IS $850.
Answer:
$70 per year
Step-by-step explanation:
Answer: can you please give me answer choices
Step-by-step explanation:
Find a monthly payment on a 48 month new car loan for $15,000 with a credit score of 700Find a monthly payment on a 48 month new car loan for $15,000 with a credit score of 600
We know that with a 700 credit score we pay $23 per $1000 financed, then the monthly payment will be:
[tex]\frac{15000+48\cdot15\cdot23}{48}=657.50[/tex]Therefore for a 700 credit score tour monthly payment is $657.50
Answer : $28.00
Step-by-step explanation: because it says on the chart the 590-619 it would be $28.00.
(-2, 8) (r, 4) when m=-1/2
write the number in scientific notation0.000471
Given the number :
[tex]0.000471[/tex]The scientific notation is a method to the write the numbers as two parts
The first part is the number as between 1 and 9
the second part as 10 to powers
so,
[tex]0.000471=\frac{471}{100000}=\frac{471}{10}\cdot\frac{1}{10000}=4.71\cdot10^{-4}[/tex]
Reduce the rational expression to lowest terms.cd — c+d —1/ cd +c+d+1=
we have the expression
[tex]\frac{cd-c+d-1}{cd+c+d+1}[/tex]Group terms
[tex]\frac{(cd+d)+(-c-1)}{(cd+d)+(c+1)}[/tex][tex]\frac{d(c+1)-(c+1)}{d(c+1)+(c+1)}[/tex]factor (c+1)
[tex]\frac{(c+1)(d-1)}{(c+1)(d+1)}[/tex]Simplify
[tex]\frac{(d-1)}{(d+1)}[/tex]A teacher gives 5 points for correctly completing an "easy" homework question and 10 points for correctly completing a "challenge" question. To get an A on a homework assignment, a student must get at least 100 points. Using x to represent the number of easy questions and y the number of challenge questions, what inequality models the number of questions a student needs to complete correctly in order to earn an A on an assignment?
The inequality models the number of questions a student needs to complete correctly in order to earn an A on an assignment is x + y > 100
A teacher gives 5 points for correctly completing an "easy" homework question and 10 points for correctly completing a "challenge" question.
To get an A on a homework assignment, a student must get at least 100 points.
Let x to represent the number of easy questions and y the number of challenge questions,
x + y > 100
Therefore, the inequality models the number of questions a student needs to complete correctly in order to earn an A on an assignment is x + y > 100
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Use the drawing tools to form the correct answer on the graph.
These equations represent functions p and q:
p(x)=2x+3
q(x)=1/2x-2
The graph of (p − q)(x) is shown.
Plot a point at the ordered pair that represents (p − q)(2) on the graph of the combined function.
Answer:
The point should be plotted at (5, -1).
Step-by-step explanation:
Select all the relations that represent a function.A. (1,3), (2,5), (2,7) (4,9)B. (1,3), (2,5), (3, 7) (4,9)C. (1, 3), (1,5), (1, 7) (4,9)D. (1,3), (2, 3), (3, 3) (4, 3)E. (1, 2), (2,5), (2, 1) (4,5)
Explanation:
A relation is a function if and only if for each value of x there's only one value of y. In other words, if we find one value of x more than once, the relation is not a function.
Relation A is not a function because x = 2 shows up twice: (2, 5) and (2, 7)
Relation C is not a function because x = 1 shows up three times: (1, 3), (1, 5) and (1, 7)
Relation E is not a function because x = 2 shows up twice: (2, 5) and (2, 1)
Relations B and D have only one time each value of x
Answers:
Which sequence is generated by the rule 3n - 1, where n represents the position of a term in the sequence? Select one: 1) 3, 6, 9, 12, 15... 2) 4,7, 10, 13, 16 ... 3) 4,5,6,7,8,9... 4) 2,5, 8, 11, 14 ..
The answer is 4 .
evaluate each inverse trig expression below. include a diagram of a unit circle justifying your solution.
The given expression :
Find the slope intercept of the line that passes through 0,-5 and has a slip of -1/2
The slope intercept of line with point (0,-5) and slope=-1/2 will be x+2y=-10 as the definition of slope intercept form is "The meaning of SLOPE-INTERCEPT FORM is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept."
What is slope intercept form of line?Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are immediately visible. This form is frequently known as the y = mx + b form. Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
Here,
Slope intercept form of line,
y=mx+ b
(x, y)=(0,-5)
m=-1/2
-5=-1/2*0+b
b=-5
y=mx+b
y=-1/2x+5
2y+x=-10
Since the definition of slope intercept form is "The meaning of SLOPE-INTERCEPT FORM is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept," the slope intercept of a line with point (0,-5) and slope=-1/2 will be x+2y=-10.
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The population of white-tailed deer is growing rapidly in the United States. In 1905 the population was approximately 5×105 and in 2000 the population was approximately 2×107.
How many times larger was the population of white-tailed deer in 2000 than it was in 1905?
40 times larger was the population of white-tailed deer in 2000 than it was in 1905 and it solved by using exponent formula.
What is the exponent?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2³) means 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent.
Given that the population of white-tailed deer in 1905 was 5 × 10^5. The population of of white-tailed deer in 2000 was 2 × 10^7.
To find how many times larger was the population of white-tailed deer in 2000 than it was in 1905, divide 2 × 10^7 by 5 × 10^5
The value of the expression (2 × 10^7)/(5 × 10^5)
Applying the power rule a^m/a^n = a^(m-n)
=(2 × 10^(7-5))/5
=(2 × 100)/5
= 40
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find the perimeter of a polygon with 7 in by 4 in
The polygon given is a rectangle, we can find the perimeter quite quickly.
The perimeter of a rectangle is;
[tex]\begin{gathered} P=2(L+B) \\ L=length,B=breadth \end{gathered}[/tex]Here, L=7in and B = 4in , so;
[tex]\begin{gathered} P=2(7+4) \\ P=2(11) \\ P=22in \end{gathered}[/tex]Therefore, t
The Metzgers want to seed theirbackyard. The seed they selectcovers 375 m² per box. Howmany boxes of seed will theyneed to buy? Use the yarddiagram. Round any portionof a box to the next box?
In order to find how many boxed they need, first they need to know the area they will have to cover:
In order to find it, we have find the total area of the rectangle and take off the area of the House and the area of the shed:
We know that all those areas are rectangles, their area are found multiplying their sides lenght:
House area = 5m x 16m = 80m²
Shed area = 3m x 3m = 9m²
Since the lateral side of the total area is
5m + 16m + 5m = 26m, then
Total area = 26m x 50m = 1300m²
Then, the area they need to cover is
total area - house area - shed area = 1300m² - 9m² - 80m²
= 1211m²
Since the seed they select covers 375 m² per box, in order to find how many boxes they need, we just need to divide the area they are going to cover with this number:
1211m² ÷ 375 m² = 3.229
We round it to 4 boxes as indicated.
Answer: they need to buy 4 boxes of seeds
Tickets for an adult cost 4 times more than a child. If they one adult and one child got a ticket and paid $20 for tickets total how much was each ticket.
this is a similar problem to the one on my test and i need to know the step on how to do it.
Answer:
One adult ticket is $16, and one child ticket is $4
Step-by-step explanation:
Let A be the price for an adult ticket
Let C be the price for a child ticket
First write out the equations based on the given information
A = 4C
A + C = 20
Since we know that A is the same as 4C, you can sub in 4C into A + C = 20
4C + C = 20
5C = 20
C = 4
You can now sub in C = 4 into A + C = 20
A + 4 = 20
A = 16
Therefore, an adult ticket costs $16, and one child ticket is $4
This is not a test , please help me !
Step 1: Write out the function
[tex]f(x)=3^x[/tex]Step 2: Evaluate the functions at x=1,3,4 and 6
[tex]\begin{gathered} f(1)=3^1 \\ f(3)=3^3 \\ f(4)=3^4 \\ f(6)=3^6 \end{gathered}[/tex]Step 3: Compute f(6)/f(4)
[tex]\frac{f(6)}{f(4)}=\frac{3^6}{3^4}=3^{6-4}=3^2[/tex]Step 4: Compute f(3)/f(1)
[tex]\frac{f(3)}{f(1)}=\frac{3^3}{3^1}=3^{3-1}=3^2[/tex]Step 5: Compare f(6)/f(4) and f(3)/f(1)
[tex]\frac{f(6)}{f(4)}=3^2[/tex][tex]\frac{f(3)}{f(1)}=3^2[/tex]Therefore,
[tex]\frac{f(6)}{f(4)}=^{}\frac{f(6)}{f(4)}[/tex]what is 4.4.4 as an exponent
Answer:
4*4*4=4^3
Step-by-step explanation:
4 is multiplied by itself 3 times so it's to the third power which equals [tex]4^{3}[/tex]
x²+2x for x=-3 i just need help on this math assingment
Answer:
-33
Step-by-step explanation:
We know that x = -3
So,
-3² + 2 x -3
9 + 2 x -3
11 x -3
-33
Please help BRAINLIST!
By the property of congruency of triangles, the following conclusions are taken from the figure
Second, third and fifth options are correct
First and fourth option are wrong.
What is congruency of triangles?
Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same.
There are five axioms of congruency
They are SSS axiom, ASA axiom, AAS axiom, SAS axiom, RHS axiom
Here,
From the second option,
AB = DE [Given]
[tex]\angle ABC = \angle CED[/tex] [ Given]
BC = CE [Given]
So, [tex]\Delta ABC \cong \Delta CED[/tex] [SAS axiom]
Second option is correct
For the third and fifth option
[tex]\angle ABC = \angle CED[/tex] [ Given]
BC = CE [Given]
[tex]\angle BCA = \angle DCE[/tex] [ Vertically opposite angle]
So, [tex]\Delta ABC \cong \Delta CED[/tex] [ASA axiom]
Third and fifth option are correct
Second, third and fifth options are correct
For first and fourth option,
There is no axiom like side- side and Angle - side-side in congruency
First and fourth option are wrong.
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help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
Let g(y)= - y2 +9y + 10. Find g(-2).
To find g(-2)
We will have to replace y in the function with -2
[tex]g(-2)=-(-2)^2\text{ + 9(-2) + 10}[/tex]g(-2) = - 1x 4 + 9 x -2 + 10
g(-2) = -4 -18 + 10
g(-2) = -22 + 10
g(-2) = -12
Answer:
Step-by-step explanation:
g(y) = -y^2 + 9y +10
g(-2) = (-2)^2 + 9(-2) +10
g(-2) = 4 - 18 + 10
g(-2) = -4
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per day (rounded to the nearest hour):Number of hours spent doing leisure and sports activities per day 1 2 3 4 5Sample A: Number of adults 70 90 135 140 65Sample B: Number of adults 80 80 130 135 75Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct—Dan or Bret? Explain your answer in two or three sentences.
Dan is correct, because if you spend a mean of 3 hours each day doing leisure and sports activities, you have to add people that spend 4 and 5 Hours and verify that addition will be more than 51% of 500 people (250) and it its the case, adding 340 for both samples.
Translation along vector (-3, 1
Rotation 360 degrees about the origin
Rotation 270 degrees counterclockwise about the origin
Translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
Given, the points
J(2 , -5) , K(-1 , -3) and L(-4 , 5)
(a) Now, Translation along the vector (-3 , 1) is
J' = (2 - 3 , -5 + 1) = (-1 , -4)
K' = (-1 - 3 , -3 + 1) = (-4 , -2)
L' = (-4 - 3 , 1 + 1) = (-7 , 2)
(b) Now, Rotation of 360° about the origin is
J' = (2 , -5)
K' = (-1 , -3)
L' = (-4 , 5)
(c) Now, Rotation of 270° counterclockwise about the origin is
J' = (-5 , -2)
K' = (-3 , 1)
L' = (5 , 4)
Hence, translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
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Which function has a greater slope? Function 1 Function 2 or both
Answer:
Function 2!
Step-by-step explanation:
the slope is longer
Ms.Chen announced the grade distribution for this week's book reports. Of the 20 students in the class, 7 received A's for their book reports, 8 received B's and 5 received C's. One of the students in the class will be chosen at random to read his or her book report to the class. What is the probability that the student that will be chosen had received an A for the book report?
Answer:
7/20
Step-by-step explanation:
7 students received an A out of the total 20.
What is the behavior of the graph y=-³-52-3x+9 at each of its zeros?
Answer:
A.
Explanation:
Using a graphing tool, we the that the graph of y = -x³ - 5x² - 3x + 9 is
Then, the zeros are the points where the graph crosses the x-axis. Therefore, we can say that one of the zeros resembles a linear function and one resembles a quadratic function because the graph looks like a line at (1, 0) and it looks like a parabola at (-3, 0).
So, the answer is
A.
Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
Answer:
around $9.0
Step-by-step explanation:
10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9
Please help! I need explanation on why the answer is what it is.
I can’t understand slope and graphs :(
The slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.
What is the slope?The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on a straight line, a slope can be determined using a variety of approaches. A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).So, the slope will be:
Points are: (4, 3) and (6, 7)Slope formula: m = y2 - y1/x2 - x1Now, calculate as follows:
m = y2 - y1/x2 - x1m = 7 - 3/6 - 4m = 4/2m = 2Therefore, the slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.
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Which describes the Coriolis effect?(1 point)
Responses
the circulation pattern of air near the equator
the circulation pattern of air near the equator
the density of hot and cold air
the density of hot and cold air
the uneven heating patterns between the equator and the poles
the uneven heating patterns between the equator and the poles
the direction of air currents in the Northern and Southern Hemispheres
the direction of air currents in the Northern and Southern Hemispheres
The option that describes the Coriolis effect is D. the direction of air currents in the Northern and Southern Hemispheres.
What is the Coriolis effect?The effect of the Earth's rotation on weather patterns and ocean currents is known as the Coriolis effect. Storms swirl clockwise in the Southern Hemisphere and counterclockwise in the Northern Hemisphere due to the Coriolis effect. Circulating air is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere as the Earth rotates on its axis. The Coriolis effect refers to this deflection.
The rotation of the Earth causes the Coriolis effect. Moving objects in the Northern Hemisphere tend to curve to the right of their intended paths; moving objects in the Southern Hemisphere tend to curve to the left of their intended paths. The Coriolis effect causes moving objects to accelerate or decelerate.
Therefore, based on the information given, it should be noted that the correct option is D.
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