Step-by-step explanation:
The expression 5x + 6y - 3x is equivalent to:
2x + 6y
This is because 5x and -3x can be combined by adding them together, which gives 2x.
The expression 5x + 6y - 3x is also equivalent to:
x + 6y - 3x
This is because 5x and -3x can be combined by adding them together, which gives x.
However, the expression 5x + 6y - 3x is not equivalent to:
2x - 3y
This is because the coefficient of the y term is 6, not -3.
The expression 5x + 6y - 3x is also not equivalent to:
x + y
This is because the coefficient of the y term is 6, not 1.
Using the equation below, what is the inverse operation needed to isolate the variable? y + 12 = 16
A. Add 12 to both sides
B. Multiply both sides by 12
C. Subtract 12 from both sides.
D. Divide both sides by 12
Please Help And Hurry
Answer: C
Step-by-step explanation:
Subtract 12 from both sides
y + 12 - 12 = 16 - 12
y = 4
By subtracting 12 from both sides, we isolate y and get the final answer
Find the length of side a.
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
Find the length of side a.\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Okay, so to solve these type of questions we need to use the pythagoras property, which is ⇨ Hypotenuse² = Base² + Altitude².
Here,
Hypotenuse (the longest side) = 5Altitude (height) = 4Base (the bottom line) = aSo, we have to find the base of the triangle .
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
Hypotenuse² = Base² + Altitude²
(5)² = (a)² + (4)²
25 = a² + 16
25 - 16 = a²
9 = a²
√9 = a
3 = a
﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
The length of side a is A. 3﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋
NOTE :-\(\downarrow\)\(\downarrow\)
We used the pythagoras property to solve this question because the given triangle is a right angled triangle. Note that the pythagoras property only works in the case of right angled triangles.Answer:
The answer is "A" (3)
Hope it helps! be safe and tell me if im wrong! :D
What is the reason for statement 2 of the two-column proof?
Given:
Prove: m
Helpppppp!!!!!!
Answer:
We have been given that PQ bisects . In the second statement of the given two-column proof, the statement is .
This implies that the two angles formed by bisection of angle by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.
Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect
Step-by-step explanation:
express x ^ - 2 + 27 ^ x in simplest form when x = 2/3
Answer:
33/4
Step-by-step explanation:
x^-2 = 1/x^2
x^2 = ( 2/3 )^2
= 2^2 / 3^2
x^2 = 4/9
x^-2 = 9/4
27^x
27 = 3 x 3 x 3 = 3^3
27^x = 3^3x
= 3^( 3* 2/3 )
= 3*2
27^x = 6
x^-2 + 27^x
= 9/4 + 6
= 9/4 + 24/4
= ( 9 + 24 )/4
= 33/4
I'm really confused
1+1=?
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
Determine the value of `w(25)`.
What does this value say about the wolf population?
Answer:
w(25) = 96
There are 96 wolves in the year 2020
Step-by-step explanation:
Given:
\(w(x)=14\cdot 1.08^{x}\)
w(25) =
\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)
Number of years : 1995 + 25 = 2020
In 2020, there are 96 wolves
70% of 140 is what value? 20 70 84 98
Answer:
Step-by-step explanation:
70% of 140 is equal to 0.7 x 140 = 98. Therefore, the answer is 98.
Answer:
98
Step-by-step explanation:
70% can also be written as 0.7, therefore, we can multiply 140 by 0.7.
140 x 0.7 = 98.
What is a one-to-one function?
a. A function f is called a one-to-one function if it has negative slope.
b. A function f is called a one-to-one function if it is a vertical line.
c. A function f is called a one-to-one function if it never takes on the same value twice.
d. A function f is called a one-to-one function if it is a horizontal line.
e. A function f is called a one-to-one function if it periodically takes on the same value.
Answer:
C.
Step-by-step explanation:
A one to one function is a function in which an element in a domain is corresponding to the a single element in the range. That is, each element in the domain has exactly one image in the range.
To answer the question that say : What is a one-to-one function?
A function f is called a one-to-one function if it never takes on the same value twice.
Therefore the correct answer is option C.
Solve....3(x+3)=-4x+30
Answer:
x=3
Step-by-step explanation:
Hey there!
In order to solve this equation, we must first distribute the 3
3x + 9 = -4x + 30
Now we combine like terms
7x = 21
Then we divide both sides by 7 to get x by itself
x = 21/7
x = 3
Answer: x=3
Step-by-step explanation:
To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.
3(x+3)=-4x+30 [distribute]
3x+9=-4x+30 [add both sides by 4x]
7x+9=30 [subtract both sides by 9]
7x=21 [divide both sides by 7]
x=3
Therefore, we get x=3.
Find sum of g(x) and h(x) where g(x) = 5x³ + 3x²y + 2xy² -9y³x² and h(x) = 10x³ - 2xy² - 2xy² - x²y + 5y³x² also find the degree.
polynomial
Answer:
differentiate between tropical and subtropical climate zone on the basis of climate and economic activities in 4 points class 10
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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Express as a trinomial.
Answer:
\(x^2+2x+1\)
Step-by-step explanation:
When given the following trinomial,
\((x+1)(x+1)\)
Distribute, multiply every term in one of the parenthesis by every term in the other,
\((x)(x)+(1)(x)+(1)(x)+(1)(1)\)
Simplify,
\(x^2+x+x+1\)
Combine like terms
\(x^2+2x+1\)
Answer:
Step-by-step explanation:
Use Foil
f: x * x = x^2
o: x * 1 = x
i: x * 1 = x
l: 1 * 1
x^2 + x + x + 1
x^2 + 2x + 1
write an equation of a line that is perpendicular to y-4=2(x-6) and passes through the point (-3,-5)
solve the inequality -2/11 j _< 8
Answer:
j ≥ -44
Step-by-step explanation:
-2/11 j ≤ 8
Multiply each side by -11/2 to isolate j. Flip the inequality since we are multiplying by a negative
-11/2 * -11/2 j ≥ 8 * -11/2
j ≥ -44
Answer:
\(j\geq -44\)
Step-by-step explanation:
The inequality given is:
\(\frac{-2}{11}j\leq 8\)
To solve the inequality, we must get the variable j by itself.
j is being multiplied by -2/11. To reverse this, we must multiply by the reciprocal of the fraction.
Flip the numerator (top number) and denominator (bottom number) to find the reciprocal.
\(\frac{-2}{11} --> \frac{-11}{2}\)
Multiply both sides of the equation by -11/2.
\(\frac{-11}{2} *\frac{-2}{11} j \leq 8*\frac{-11}{2}\)
\(j\leq 8*\frac{-11}{2}\)
Since we multiplied by a negative number, we must flip the inequality sign.
\(j\geq 8*\frac{-11}{2}\)
Multiply 8 and -11/2
\(j\geq 8*-5.5\)
\(j\geq -44\)
The solution to the inequality is: \(j\geq -44\)
Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
A dog rolls over 25 times in 2 minutes. How many times can the dog roll over in 6 minutes
Answer:
75
Step-by-step explanation:
Count By Two's
25=2 minutes
50=4 minutes
75=6 minutes
how do you find the area of this problem
Answer: 240
Step-by-step explanation:
You would multiply each of the sides to get the final answer of 240 (:
find the exact value of n in 9⅓ ×27^n = 27⅘ and express it in fraction . Its urgent
Answer:
n = 26/45
Step-by-step explanation:
If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\) and \(27^{4/5}\), then
\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)
=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)
=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)
=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)
=> 3n+2/3 = 12/5
=> 45n + 10 = 36
=> 45n = 26
=> n = 26/45
The lines represented by the equations 9 � − 6 � = − 18 9y−6x=−18 and 3 � − 2 � = 24 3y−2x=24 are
The lines are parallel because they have the same slope in the equation of lines
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first equation be 9y - 6x = -18 be equation (1)
Let the second equation be 3y - 2x = 24 be equation (2)
On simplifying the equation , we get
Adding 6x on both sides of the equation , we get
9y = 6x - 18
Divide by 9 on both sides of the equation , we get
y = ( 2/3 )x - 2
So , the slope of line 1 is m = 2/3
And , for the second equation ,
Adding 6x on both sides of the equation , we get
3y = 2x + 24
Divide by 3 on both sides of the equation , we get
y = ( 2/3 )x + 8
So , the slope of line 2 is m = 2/3
Since the slopes of the lines are same , they are parallel lines
Hence , the equation of lines are solved
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The complete question is :
The lines represented by the equations 9y - 6x = -18 and 3y - 2x = 24 are
a) perpendicular
b) parallel
c) none of the above
Find the volume of this sphere.
Use 3 for T.
d=6in
V ~ [?]in3
V = Tr3
Answer:
V = 108 in³
Step-by-step explanation:
Given:
Volume of sphere = ⁴/3πr³
π = 3
d = 6 in.
r = ½(6) = 3 in.
Required:
Volume of sphere
Solution:
V = ⁴/3πr³
Plug in the values
V = ⁴/3 * 3 * 3³
V = ⁴/3 * 3 * 27
V = 4 * 27
V = 108 in³
500 ft in 120 seconds the restaurant is 300 ft up how long will it take u by elevator
Answer:
72 seconds
Step-by-step explanation:
0.24 feet in a second
0.24 ft. x 300 = 72
72 seconds
Please help due tomorrow!!
Answer: 63
Step-by-step explanation:
When there are two lines intercepting the two angles opposite each other are the same
and GHK and IHF are opposite of each other so there for are equal
!! Please help
Solve the system using substitution
x + 3y = 3
3y - 2x = 12
Nick wants to estimate the percentage of customers that would be satisfied with the company. He surveys 150 randomly selected customers to determine whether or not they were satisfied. What is the sample
Answer:
The sample is the 150 randomly selected customers.
Step-by-step explanation:
When you survey a group of people, to gauge whaever you are interested, these people are what makes your sample.
In this question:
Nick surveys 150 randomly selected customers to determine whether or not they were satisfied.
So the sample is the 150 randomly selected customers.
whatre the values of x and y
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
What are the values of two variables associated with two angles from a right triangle?
In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:
(x + 20) + 90 + 30 = 180 (1)
20 + 90 + (y + 30) = 180 (2)
By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).
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3.
The Moy family budgeted $32,650 to remodel their kitchen. They spent
$43,987. How much more or less is the amount spent than the amount
budgeted?
A $11,337 more
B $11,337 less
C $17,887 more
D $17,887 less
Answer:
A
Step-by-step explanation:
43987-32650= 11337
And it’s more
2. Jessica's shelves hold 20 books each. How many shelves
will she need if she has 137 books? Explain how to solve the
problem.
Jessica needs 7 book shelves for 137 books in given word problem.
What is word problem?
Mathematical questions that are written as one or more sentences and ask students to use their mathematical understanding to solve problems from "real-life" situations are known as word problems. As a result, for kids to understand the word problem, they need to be familiar with the vocabulary that goes along with the mathematical symbols that they are already used to. In addition to being in the Common Core State Standards for every school level, K–12, word problems and story issues also occur in daily life. The three primary sorts of word problems—part-part whole, separate and join, and multiply and divide—can be used for anything from tip calculation to penny counting.
Here the total number of books = 137.
We can arrange 20 books in each shelves. Then ,
=> 20+20+20+20+20+20 = 120
So we can arrange 120 books in 6 shelves in each shelves in 20 books.
The remaining books= 137-120=17
In 7th shelves we can arrange `17 books.
Therefore we need 7 shelves for 137 books.
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Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
The graph of y = -x + 1 is shown.
A
B
-2 -1
3
2
7
-2-
L
14
C
1
D
2
3 x
Which statement about the graph is accurate?
O Point A is a relative minimum of the graph.
Point B is a turning point of the graph.
Point C is a maximum of the graph.
Point D is a y-intercept of the graph.
The accurate statement about the graph is: Point D is a y-intercept of the graph.
Based on the given graph of y = -x + 1, the following statements about the graph are accurate:
Point A is a relative minimum of the graph:
False.
Point A is located at (-2, 3), and it is not the lowest point on the graph. Moving to the left or right of point A, the graph continues to decrease.
Point B is a turning point of the graph:
False.
Point B is not a turning point.
It is located at (-1, 2), and the graph does not change its direction or slope at this point.
Point C is a maximum of the graph:
False.
Point C is located at (2, -2), and it is not the highest point on the graph. Moving to the left or right of point C, the graph continues to increase.
Point D is a y-intercept of the graph:
True.
Point D is located at (0, 1), and it lies on the y-axis.
This point represents the y-intercept of the graph, where the value of x is zero.
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somebody help with this
Answer:
-27
Step-by-step explanation:
5(-3)^3(5)^-1
5(-27)(1/5)
-135(1/5)
-135/5
-27
Hopes this helps please mark brainliest