Simplify the following expression
9y + 12 - 3 x 6y9y+12−3×6y
Answers
The expression 15y—3x + 12 is the simplest form of the expression 9y + 12 – 3x + 6y
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 9y + 12 – 3x + 6y
We can simplify the above expression as follows:
Arrange the terms:
= 9y + 6y - 3x + 12
Add like terms:
= 15y - 3x + 12
The above expression is the simplest form of the given expression.
Thus, the expression 15y - 3x + 12 is the simplest form of the expression 9y + 12 – 3x + 6y
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Related Questions
A circle has a circumference of 16 π yards. Find the area in terms of π.
Answers
Then we can proceed to find Area A;
\(\begin{gathered} A=\pi\times r^2 \\ A=\pi\times8^2 \\ A=64\pi \end{gathered}\)The area of the circle is 64pie
A bus covered a distance of 331.25 km in 25 L of diesel. Find the distance covered by the bus in 1 L of diesel . please do answer in copy
Answers
Answer:
13.25km
Step-by-step explanation:
25 Litres = 331.25km
1 Litre =
\( \frac{331.25}{25} \\ = 13.25km\)
Answer:
13.25 km
Step-by-step explanation:
25 litres = 331.25 km
1 litre =
331.25
25
=13.25 km
Can you help show steps please?
Answers
Answer:
g(x) = -2^(x-3) - 5
Step-by-step explanation:
f(x) = 2^x
3 units to the right:
2^x ----> 2^(x-3)
Moved 5 units up:
2^(x-3) ----> 2^(x-3) + 5
Reflected across the x-axis:
2^(x-3) + 5 -----> -2^(x-3) - 5
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
Answers
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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Write the fraction below as a sum or difference.
11x + 5
6
Answers
The fraction in form of sum or difference will be;
⇒ 11/6x + 5/6
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ (11x + 5) / 6
Now,
Since, The fraction is,
⇒ (11x + 5) / 6
It can be written as;
⇒ (11x + 5) / 6
⇒ 11x/6 + 5/6
Thus, The fraction is written as;
⇒ 11/6x + 5/6
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PLS HELP ASAPPAPA
Type the correct answer in the box. If necessary, use / for the fraction bar.
If a rectangular prism has a length, width, and height of centimeter, centimeter, and centimeter, respectively, then the volume of the prism is
cubic centimeter.
Answers
Explanation:
Multiply out the fractions. This is because volume = length*width*height when it comes to rectangular prisms, aka blocks.
(3/8)*(5/8)*(7/8) = (3*5*7)/(8*8*8) = 105/512
This fraction cannot be reduced since 105 and 512 have no factors in common, other than 1. A clue of this is to notice how neither 3, nor 5, nor 7 share any common factors (other than 1) with 8 in the denominator.
Answer:
105/512
Step-by-step explanation:
hope this helps
Which of the following is a solution to the inequality below?
6c < 52
C = 10
C = 12
C = 5
C = 9
Answers
Answer:
C = 5
Step-by-step explanation:
This is the only answer that makes the inequality true when you plug in the C value.
C=10
6(10) = 60
60 > 52
C=12
6(12) = 72
72 > 52
C=5
6(5) = 30
30 < 52
C=9
6(9) = 54
54 > 52
All of the other options are greater than 52 instead of less than.
What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Answers
x² +8x +4 = -4y
x² +8x +16 -12 = -4y
(x+4)² -12 = -4y
y = (-1/4)(x +4)² +3
From this, we see the vertex is (-4, 3).
The scale factor, (-1/4) is 1/(4p), where p is the distance from the vertex to the focus. Solving for p, we have
-1/4 = 1/(4p)
p = -1 . . . . . multiply by -4p
So, the focus is 1 unit below the vertex. The focus is (-4, 2).
The directrix is the same distance from the vertex, but in the opposite direction, hence the directrix is y = 4.
_____
On a graph, if all you know is the vertex, you can draw a line with slope 1/2 through the vertex. It intersects the parabola at the y-value of the focus. Then the distance from that point of intersection to the axis of symmetry (where the focus lies) is the same as the distance from that point to the directrix.
Every point on the parabola, including the vertex and the point of intersection just described, is the same distance from the focus and the directrix. This point of intersection is on a horizontal line through the focus, so finding the distance is made easy.
What is 7/30 written as a decimal? I got this wrong on a test so please help.
Answers
Answer:
Hope it helps
Step-by-step explanation:
0.23333333333333
Answer:
0.23..... (The 3 is repeating.)
Step-by-step explanation:
7/30 written as a decimal is basically 7 divided by 30 which equals 0.23....
what’s the domain of this function please help
Answers
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
C
I NEED ANSWER ASAP!!! is the mapping a fun or not a function
Answers
Answer:
function
Step-by-step explanation:
pls brainly give
1 point
A bag of marbles contains 17 red marbles, 6 blue marbles, 12 green
marbles and 3 yellow marbles. What is the probability of randomly
selecting a red marble and then a blue marble out of the bag without
replacement (the first marble isn't put back into the bag)? Round your
answer to 2 decimal places.
Your answer
I
A bag of marbles contains 17 red marbles 6 blue marbles, 12 green
Answers
Answer:
it's dependent events so multiply each probability
Total marbles = 17+6+12+3=38
P(red) = 17/38
Since without replacement, now total marble is 38-1=37
P(blue)= 6/37
Multiply two probability
(17/38) (6/37) = 0.07
25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.
Answers
Answer:
8y4 is not a perfect square.
Step-by-step explanation:
Knowing that; A difference of two perfect squares, A2 - B2 can also be factored into (A+B) • (A-B)
Verification;
(A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Notes;
AB = BA is the commutative property of multiplication.
AB + AB equals zero and is therefore eliminated from the expression.
Answer:
25 is the square of 5
8 is not a square
charges $1.25 for
gasoline plus $6.50 per hour for
mowing lawns, For she earns
$20.75, how many hours did
she work?
Answers
Hii I really need help determining the y intercept of the line.
Answers
So what's they?
X intercept is the co-ordinate where the line crosses x axis ,
Y intercept is the co-ordinate where the line crosses y axis
So
X intercept (-10,0)Y intercept (0,-45)Find the area of the bathroom/toilet
Answers
Answer:
2000^2700 = 5400000
Step-by-step explanation:
In the expression 5x6+3yr-7yz2+2y/z which of the following choices is the exponent in the term 5x6?
Answers
The exponent in the term 5x⁶ is of the expression 6
How to determine the exponent in the term?From the question, we have the following parameters that can be used in our computation:
Expression: 5x6+3yr-7yz2+2y/z
Rewrite the expression properly
So, we have the following representation
5x⁶ + 3yr - 7yz² + 2y/z
From the above expression, the spotlight is on the first term
i.e. 5x⁶
Considering an expression represented as axⁿ
Where x is a variable, the exponent is n
Using the above as a guide, we have the exponent of 5x⁶ to be 6
Hence, the exponent is 6
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Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
Answers
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
Which of the following expressions are equivalent? I. 10(k + 4) II. 10k + 40 III. 5(2k + 8)
2 points
A) I and II only
B) I and III only
C) II and III only
D) I, II, and III
Answers
Answer:
The answer is D.
Step-by-step explanation:
1. 10(k+4) → 10•k + 4•10 → 10k+40
2. is how it is
3. 5(2k+8) → 5•2k + 5•8 → 10k+40
so it's 1,2,&3
The graph of a relation must pass the vertical line test.
True or false
Answers
Answer:
The graph of a relation must pass the vertical line test.
True
Step-by-step explanation:
TrueThe graph of a relation must pass the vertical line test.
hope it is helpful to you
Suppose the x-axis of a density graph represents someone's weight in
pounds. If the area under the density graph from 120 pounds to 150 pounds
is 0.34, what is the probability of someone's weight being anywhere from 120
pounds to 150 pounds?
O A. 46%
B. 34%
O
C. 52%
OD. 28%
Answers
Answer:
b
Step-by-step explanation:
ASAP NEDDDD HELPPPPPP
Answers
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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please help me solve this problem
Answers
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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(x-1)/(x-1)=1, what is the answer and explenation
Answers
Anything you plug in for x makes the identity still one.
Express the first quantity as percentage of the second of 45g and 75g
Answers
The first quantity (45g) as 60 percentage of second (75g).
What do you mean by Percentage?A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.
To convert the given percentage value in decimal, divide the given value by 100.
For example:
1. 50% in decimal or fraction will be 50/100 = 0.5.
2. 20% in decimal or fraction will be 20/100 = 0.2.
How to calculate Percentage?1. Finding the total amount from which we need to find the percent.
2. Dividing the required amount to find the percentage by total amount.
3. Multiply it by 100.
For example:
1. It rained 10 of the 30 days in April.
Percentage will be 10/30 = (1/3) x 100
Percentage = 33.33%
Here, we have given that:
Total amount = 75g
Required amount for percent = 45g
Now, to find the percentage:
Percentage = 45/75
Percentage = 0.6 x 100
Percentage = 60%
Hence,
The first quantity (45g) as 60 percentage of second (75g).
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1. What is 0.078 written in expanded form
a) 7.0.1 +8 -0.01
b) 7.0.1 + 8 . 0.001
c) 7.0.01 +8 -0.01
d) 7.0.01 +8 -0.001
Answers
Answer:
7.8 x \(10^{-2}\)
Step-by-step explanation:
this is the real answer
Given: f(x)=5x + 7 and f(g(x))=-3x +10. Find g(x).
Answers
The expression of g(x) is g(x) = (1/5)(-3x + 3) so that f(x)=5x + 7 and f(g(x))=-3x +10.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that f(x)=5x + 7 and f(g(x))=-3x +10. Hence:
5(g(x)) + 7 = -3x + 10
5g(x) = -3x + 3
g(x) = (1/5)(-3x + 3)
The expression of g(x) is g(x) = (1/5)(-3x + 3) so that f(x)=5x + 7 and f(g(x))=-3x +10.
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wich is true
A:tree and three nineths+seven and six ellevenths=ten and eighty seven ninty ninths
B:2 and tree eighths+six and four fiths = eight and thelve 40ths
C:3 and 3 7ths+4 and 2 3rds=7 and 2 21ths
D:4 and 5 6ths+5 and 5 7ths=9 and 10 12ths
Answers
Answer:
the aswer is D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
should be the answer because
please can you help me find the derivatives for the following equations
Answers
D.
We were given that:
\(g(x)=(x^3+2x+1)(2+\frac{1}{x^2})\)We will proceed to expand the bracket as shown below. We have:
\(undefined\)Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere
Answers
Answer:
i think D. All of the above would generate a sphere is answer