Answers
You are being asked to compare various expressions to the given one, and to determine which are equivalent and which are not. You are asked to simplify the given expression—collect terms.
The given expression ...
... 4y -8x² -5 +14x² +y -1
can be simplified by identifying like terms and adding their coefficients.
... y(4 +1) +x²(-8 +14) +(-5 -1)
... = 5y +6x² -6 . . . . . simplified form
Any expression that has a different y-term, a different x² term, or a different constant term is not equivalent.
Once you have found this simplified expression, you can drag it to the appropriate box. Looking at the top three expressions on the left, you see immediately that they have different y-terms, so all those go to the "not equivalent" box. The expression on the bottom row has a different x² term, so it, too, is "not equivalent". (The sign is negative instead of positive. Details matter.)
The remaining expression, the one on the far right, has the appropriate y-term and constant term. The x² terms have not been combined, so it is equivalent, but not fully simplified.
Related Questions
Point E is located at (-2, 2) and point F is located at (4,-6). What is the distance bewtween points E and F?
Answers
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{-6})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\d=\sqrt{[4-(-2)]^2+[-6-2]^2}\implies d=\sqrt{(4+2)^2+(-6-2)^2}\\\\\\d=\sqrt{6^2+(-8)^2}\implies d=\sqrt{100}\implies d=10[/tex]
EF = 10
to calculate the distance use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 2 ) and (x₂, y₂ ) = (4, - 6 )
EF = √(4 + 2 )² + (- 6 - 2 )² = √(36 + 64 ) = √100 = 10
99 POINTS! WILL GIVE BRAINLIEST TO FIRST,BEST EXPLAINED ANSWER!!!
What does the multiplication property of equality allow us to do while solving equations?
A. The multiplication property of equality allows us to say zero times any value is zero.
B. The multiplication property of equality allows us to say one times any value is the value itself.
C. The multiplication property of equality allows us to multiply both sides of the equation by the same value to maintain equivalent equations.
D. Or None of the above.
Answers
Answer:
What does the multiplication property of equality allow us to do while solving equations?
C. The multiplication property of equality allows us to multiply both sides of the equation by the same value to maintain equivalent equations.
~batmans wife dun dun dun...
The multiplication property of equality in Mathematics allows us to multiply both sides of an equation by the same value without affecting the equality. This property is useful for simplifying equations and finding unknown variables.
Explanation:The multiplication property of equality is a crucial concept in solving equations. It states that if you have an equation, you can multiply the same quantity to both sides of the equation without affecting the equality. Essentially, what it says is captured in option C: The multiplication property of equality allows us to multiply both sides of the equation by the same value to maintain equivalent equations.
For example, if we have an equation 2x = 8, we can apply the multiplication property of equality by multiplying both sides of the equation by 1/2 (the reciprocal of 2) to find the value of x, without changing the balance of the equation. So, 2x * 1/2 equals 8 * 1/2, simplified gives us x = 4. This helps in simplifying complex equations and reaching the solution.
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What is the answer to -3+5+6g=11-3g
Answers
g=1
Add like terms on both sides. That would lead to 2+6g=11-3g
Add -6g to both sides or add 3g to both sides so that g is on one side. Also get the whole numbers on the opposite side to get 9g=9 or -9g=-9. That makes g=1
Factor the quadratic expression completely. 15xˆ2-4x-4
Answers
Answer:
(3x-2)(5x+2)
Step-by-step explanation:
we have to multiply 15 and 4.
then find the factors of this product.
we get,
15 x 4=60
Now, factors of 60 which make 4 are 6 and 10
because 6-10=-4
So,
[tex]15 x^{2}-4x-4\\ =15x^{2} -10x+6x-4\\[/tex]
Now, we have to take common factor pairwise.
Taking 5x as common factor from first pair and 2 from second pair,
we get
[tex]15x^{2} -10x+6x-4\\=5x(3x-2)+2(3x-2)\\=(3x-2)(5x+2)[/tex]
(3x - 2 )(5x + 2 )
consider the factors of the product 15 × - 4 = - 60
which sum to give the coefficient of the middle term ( - 4 )
the factors required are - 10 and + 6
split the x- term using these factors
15x² - 10x + 6x - 4 ( factor by grouping )
= 5x(3x - 2) + 2(3x - 2)
Take out the common factor (3x - 2)
= (3x - 2)(5x + 2)
David wants to install a fence around his garden. The garden is rectangular and has an area of 240 square feet. One side of the garden is along the street and is 12 feet long. For this side of the garden, David will use fencing that costs $18 per linear foot. For the other three sides of the garden, David will use fencing that costs $15 per linear foot. What is the total cost of fencing? $756 $996 $1,032
Answers
Answer:
$996
Step-by-step explanation:
The rectangular plot has an area that is the product of its length and width. We are given the width as 12 feet, and the area as 240 ft², so we can find the length from ...
... A = L×W
... 240 ft² = L×(12 ft)
... 240 ft²/(12 ft) = L = 20 ft
Opposite sides of the rectangle are the same length, so the cost of fence for a side of a given length will be the sum of the costs of the opposites sides.
The 12 ft side has one segment that is $18 per foot, and one that is $15 per foot. For the 20 ft sides, both are $15 per foot. Then the total cost can be figured from ...
... (12 ft)·($18/ft + $15/ft) + (20 ft)·($15/ft +$15/ft) = 12·$33 +20·$30 = $996
Please help me!
Which number equals (3)-3?
Answers
Answer:
1/27
Step-by-step explanation:
Its 1/27 because you have to multiply (3)-3,
3 times 3 times 3
that will give you positive 27 so if your on usatestprep its positive 1/27
The number (3)⁻³ equals 1/27, which is the result of taking the reciprocal of 3 raised to the third power.
The question asks which number equals (3)⁻³. The notation (3)-3 indicates that we are dealing with an exponentiation operation, specifically raising the number 3 to the power of -3. To solve this, we'll use the rule that any number raised to a negative exponent is equal to 1 divided by that number raised to the positive exponent. Therefore, (3)⁻³ is equal to 1/(3³).
Now we'll calculate the exponent 3³, which is 3 multiplied by itself three times: 3 x 3 x 3 = 27. So, 1/(3³) is 1/27.
The final answer is therefore (3)⁻³ = 1/27.
Complete the synthetic division problem below. -1|2 8 6What is the quotient in polynomial form?
Answers
A 2x + 6 is the quotient
Answer:
The quotient in polynomial form is 2x+6
Step-by-step explanation:
use the synthetic division
---------------------------
-1 2 8 6
0 -2 -6
-------------------------------------
2 6 0
Now we use the quotient we got.
quotient is 2 and 6. Remainder is 0
In quotient we have only two numbers
So we write it as 2x+6
The quotient in polynomial form is 2x+6
The boys at Academy camp are working on math problems to prepare for a math competition. The camp leader has put a problem on the board for the students to work on. Paolo does the following problem incorrectly. Explain the error and redo the problem showing the correct answer
Paolo's answer -0.43-0.2 = -0.23
Answers
We don't actually know what the problem originally was, so we don't know what the error was or what the correct answer should be.
If the numbers on the left are given, and the problem is to find the number on the right, then ...
Paolo added 0.2 instead of subtracting it.
-0.43 -0.2 = -0.63 . . . . . correct answer
_____
If the left and right numbers are given and the problem is to find the one in the middle, then ...
Paolo incorrectly calculated 0.43 -0.23, getting -0.2 instead of +0.2.
-0.43 +0.2 = -0.23 . . . . correct answer
_____
If the problem is to find the term on the left, then ...
Paolo incorrectly added 0.2 and -0.23, getting -0.43 instead of -0.03.
-0.03 -0.2 = -0.23 . . . . correct answer
Please Help Soon!
Find (1.6 x 108)(5.8 x 106) (4 x 106) , expressed in scientific notation
A) 1.05 * 10^8
B) 2.32 * 10^8
C) 2.32 * 10^9
D) 9.28 * 10^8
Answers
we are given
[tex]\frac{(1.6\times 10^{8})(5.8\times 10^{6})}{(4\times 10^{6})}[/tex]
Since, we have to write this in scientific form
so, we will make all 10^x terms together
and all other terms together
so, we get
[tex]=\frac{(1.6\times 5.8) (10^{8}\times 10^{6})}{(4\times 10^{6})}[/tex]
we can multiply terms
[tex]=\frac{(9.28) (10^{8+6})}{(4\times 10^{6})}[/tex]
[tex]=\frac{(9.28) }{4} \times 10^{8+6-6}[/tex]
[tex]=2.32 \times 10^{8}[/tex]
so, option-B...........Answer
Answer:
2.32 x 10^8
Step-by-step explanation:
2.32 x 108
108 + 6 - 6 = 108
and
(1.6)(5.8)
(4)
=
9.28
4
= 2.32
thus,
2.32 x 108
What are the domain and range for the exponential function f(x)=ab^x , where b is a positive real number not equal to 1 and a > 0? Help please!
O domain: ( -∞,∞) ; range: (-∞,0)
O domain: (-∞,0] ; range: (-∞,∞)
O domain (-∞,∞) ; range: (0,∞)
O domain (0,∞) ; range: (-∞,∞)
Answers
Answer: Domain (-∞,∞) ; range: (0,∞)
Step-by-step explanation:
1. The exponential functions with the form [tex]f(x)=ab^{x}[/tex] has domain of all real numbers, becaure there is no values in the set of real number for which the value of [tex]x[/tex] is not define. When [tex]x[/tex] approches to ∞, the function approches to ∞.
2. When [tex]x[/tex] approches to -∞, the function approches to 0 but never touches it. This means that [tex]y[/tex] is always greater than zero ([tex]y>0[/tex]). Therefore, the range of the function is (0,∞).
Answer:
Lesson 1 unit 5 exponential, logarithmic, pricewise functions
Step-by-step explanation:
1. A and D
2. C
3. B
4.c
Rewrite y = 9x + 7 in standard form
Please help, with explanation
Answers
Answer: 9x - y = -7
Step-by-step explanation:
Ax + By = C
9x + 7 = y
9x + 7 - y = 0
9x - y = -7
Hope this helps! :)
9x - y = - 7
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange y = 9x + 7 into this form ( subtract y from both sides )
0 = 9x - y + 7 ( subtract 7 from both sides )
9x - y = - 7 ← in standard form
Need help lease!!!!!!!
Answers
(11)
the equation of a line in point- slope form is
y = mx + c ( m is the slope and c the y-intercept
thus y = 4x + 3 ← in slope-intercept form
the equation of a line in point- slope form is
y - b = m(x - a ) ( m is slope and (a, b ) a point on the line )
thus y - 3 = 4 ( x - 0 ) or y - 3 = 4x ← in point- slope form
the equation of a line in standard form is
Ax + By = C ( a is a positive integer and B, C are integers
rearrange y - 3 = 4x into this form
4x - y = - 3 ← in standard form
(12)
y = - 2x - 1 ← in slope-intercept form
y + 1 = - 2x ← in point- slope form
2x + y = - 1 ← in standard form
Can u plz help me ASAP.I REALLY NEED HELP I DONT UNFERSTAND AT ALL.
Answers
The solution follows the sequence ...
eliminate parenthesescollect termselminate decimal fractionsisolate the variable on one side and the constant on the otherdivide by the coefficient of the variable.The problem is in the first step, where parentheses are eliminated. One of the multiplications is done incorrectly, and the error is propagated through the rest of the solution.
0.15(y -0.2) = 0.15y - 0.03 . . . . not 0.15y - 0.3
If you carry forward the value 0.03 instead of 0.30, you find the answer is
... -153/35 = y
______
Some of the other steps should be ...
.15y -.03 = 2 - .5 + .5y
15y -3 = 150 +50y
-153 = 35y
Your employee have expressed an interest in flextime, and would like to work 4 days a week instead of 5. The employees have been working 9-hour days, including an hour for lunch. How many hours will they need to work daily if they switch to the new schedule
Answers
5 nine-hour days is a total of 5×9 = 45 hours.
If 45 hours are worked in 4 days, the daily average is
... 45/4 = 11 1/4 . . . hours
They will need to work 11 hours 15 minutes daily if they switch.
PLZ HELP FAST WILL MARK BRAINLIEST
Two similar triangles are shown below:
Which two sets of angles are corresponding angles?
∠a and ∠d; ∠b and ∠c
∠a and ∠c; ∠b and ∠d
∠a and ∠e; ∠b and ∠d
∠a and ∠e; ∠b and ∠c
Answers
∠ a and ∠ d ( 2 arcs at angles indicate corresponding angles ) ;
∠ b and ∠ c ( single arc at angles indicate corresponding )
what is the correct solution to the equation 5 - 2x = -9?
5 - 2x = -9
Answers
to start, you must isolate the variable. you would subtract 5 from both sides of the eqauation:
-2x = -14
next you must get rid of that -2 so you would divide each side by -2:
x= 7
[tex] \: \: \: \: \: \: \: \: \: \: \: \bold{ - 2x = - 9 - 5}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ - 2x = - 14}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x = \cfrac{ - 14}{ - 2}} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x = \cfrac{14}{2} }[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{x = 7}[/tex]
Note: For a problem like this, we must first subtract the number that is 5, then we must know that two negatives make a positive and that we must add 9 and 5 to give us 14, then we must put it as a fraction since it makes it easier for us to finish the problem, next it is known that two negative signs make a positive thus eliminating the less Parentheses and finally we divide so that we get a result of[tex]\bold{ x = 7}[/tex]
Q # 16..please help me
Answers
Direct variation is a relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).
Given the equation [tex]2x-4y=0,[/tex] you can see that
[tex]4y=2x,\\\\y=\dfrac{2}{4}x=\dfrac{1}{2}x.[/tex]
Then the constant [tex]k=\dfrac{1}{2}.[/tex]
Answer: correct choice is C.
Wanchen makes limeade using 3 5 cup water per 1 3 cup lime juice. Find the unit rates of water (cups) per lime juice (cups).
Answers
Answer:
Unit rate is 2.69 cups of water for 1 cup of lime juice.
Step-by-step explanation:
Rate of water (cups) per lime juice (cups) means how much water (cups) is added to 1 cup of lime juice to make limeade.
This can be calculated as,
Unit rate = Number of water (cups) / Number of lime juice (cups)
Unit rate = [tex]\frac{35}{13}[/tex]
Unit rate = 2.69 cups of water for 1 cup of lime juice.
Write an expression that equals (x-13). It must have atleast 2 sets of parentheses and one minus sign. Verify that it is equal to (x-13).
Answers
The positive x and negative x cancel out and equal zero. The positive 13 and negative 13 cancel and equal zero also. Then you are left with (x-13)
Simplify. 7√50x^15y^21 Assume x and y are nonnegative.
A.5x7y102xy−−−√B.35x7y102xy2−−−−√C.35x7y10xy−−√D.35x7y102xy−−−√
Answers
Given expression is [tex]7 \sqrt{50x^{15}y^{21}}[/tex] where x and y are non negative.
Now we have to simplify this to find the correct matching choice.
[tex]7 \sqrt{50x^{15}y^{21}}[/tex]
[tex]=7 \sqrt{25*2x^{15}y^{21}}[/tex]
[tex]=7 \sqrt{25*2x^{14}*xy^{20}*y}[/tex]
[tex]=7*5x^{7}y^{10} \sqrt{2*x*y}[/tex]
[tex]=35x^{7}y^{10} \sqrt{2xy}[/tex]
Which best matches with choice D.
Hence final answer is [tex]35x^{7}y^{10} \sqrt{2xy}[/tex] .
Answer:
B
Step-by-step explanation:
I also got 35x^7y^10√2xy
:)
PLEASE HELP What is the range of this function? -1, -4, 4, 1, 8, 7, 18, 15
Answers
B
the range of the function are the values that the domain map to
here range { - 4, 1, 7 , 15 }
The range is the output values (also known as the y values)
-4, 1, 7 ,15 or letter B
describe the continuity or discontinuity of the graphed function. I WILL GIVE MORE POINTS AND BRAINLIEST TO WHOEVER HELPS FIRST
Answers
the function has only 2 points of discontinuity. Both a jump and removable discontinuity
The data shown in the graph states that the graph is continuous at point [tex][-2,1][/tex] and [tex][-1, 2.5][/tex] and discontinuous at [tex](-2,2)[/tex] and [tex](-1,3)[/tex].
The graph is a systematic representation of data in pictorial form. The definition of continuity states that the function is defined at that point, and discontinuity defines that the function is not defined at that point.
The information provided in the given graph states that the function is defined at the point[tex][-2,1][/tex] and[tex][-1, 2.5][/tex] and discontinuous at [tex](-2,2)[/tex] and [tex](-1,3)[/tex] which is represented in the form of holes.
The graph is continuous at point [tex][-2,1][/tex] and [tex][-1, 2.5][/tex] and discontinuous at [tex](-2,2)[/tex] and [tex](-1,3)[/tex].
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What is the domain and range of each relation?
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
A mapping diagram. Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.
A) Domain -1, 3, 4
Range -4, -3. -1. 1
B) Domain -7, -2, 0, 4
Range 1, 2, 5
C) Domain -4, -3, -1, 1
Range -3, -1, 4
Answers
{(−7, 2), (−2, 2), (0, 1), (4, 5)} = B
Element x contains negative 4, negative 3, negative 1, and 1. Element Y contains negative 3, negative 1, and 4. = C
i hope this helps, i got kinda confused :/
Answer:
1) Domain -7, -2, 0, 4
Range 1, 2, 5
2) Domain -4, -3, -1, 1
Range -3, -1, 4
Step-by-step explanation:
1) Given relation,
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
That, has the input values, -7, -2, 0, 4,
And, has the output values 2, 1, 5
We know that the set of all possible input values of a relation is called the domain of the relation,
While the set of all possible output values is called the range of the relation,
Thus, the domain of the above relation would be,
{ -7, -2, 0, 4 }
And, the range of the function,
{ 1, 2, 5 }
2) In the second relation,
Negative four maps to negative 1. Negative three maps to negative 3 and 4. Negative one maps negative 1. One maps to 4.
Let g(x) be the relation,
⇒ g(x) = {(-4, -1), (-3, -3), (-3, 4), (-1,-1), (1,4)}
Input values are -4, -3, -1, 1,
⇒ Domain = { -4, -3, -1, 1 }
Also, output values are -1, -3, 4,
⇒ Range = { -3, -1, 4 }
Find the slope of the line passing through the two points.
(–7, 8), (–4, 3)
Answers
Answer:
-5/3
Step-by-step explanation:
The slope of the line between two points is the "rise" divided by the "run". That is, it is the ratio of the vertical change to the horizontal change.
It is usually convenient (but not necessary) to choose the horizontal change to be positive when finding slope from a graph.
When finding slope from a pair of point coordinates, you can do the math with the points in any order. The x- and y-values need to correspond, meaning if you subtract the first y-value from the second, you must also subtract the first x-value from the second.
slope = (change in y)/(change in x) = ∆y/∆x
... = (3-8)/(-4-(-7)) . . . . . . . . (difference of y-values)/(difference of x-values)
slope = -5/3
every hour on mondays, the bakers make 75 pies. They make an equal number of pies in each of three flavors: apple, cherry, and lemon. If the bakers work 8 hours on mondays, how many do they make that day?
Answers
If they're making 75 pies an hour, and working 8 hours a day, you would multiply 8 by 75. 8x75=600. Hope this helps!
What is it called when transformation of the plane which reflects each point and then translates it called
Answers
The figures in a plane can be reflected, rotated, translated or dilated to produce new figures or images.
A transformation that moves all points to the same distance and in the same direction. The final figure looks the same, just moved over. It does not flip or gets rotated. It also does not change size.This type of translation is called glide reflection. Its the summation of translation and reflection.
Answer:
Glide Reflection
Step-by-step explanation:
What percentage increase is this?
225 to 255
Answers
13 .3333... = 13 [tex]\frac{1}{3}[/tex] %
percentage increase is calculated as [tex]\frac{increase}{original}[/tex] × 100%
increase = 255 - 225 = 30 and original = 225
[tex]\frac{30}{225}[/tex] × 100% = 13.33.... % = 13 [tex]\frac{1}{3}[/tex] %
Solve x for the equation 2x^2-5x+1=3
Answers
Steps:
subtract 3 from both sides:
2x²-5x+1 - 3 = 3 - 3
Simplify:
2x² - 5x - 2 = 0
Solve with the quadratic formula :
for a = 2 , b = - 5 , c = - 2
x₁ = - ( - 5 ) +√ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2 =
x₁ = 5 + √ 41 / 4
x₂ = - ( - 5 ) - √ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2
x₂ = 5 - √ 41 / 4
what is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i?
Answers
x³ - 3x² + 4x - 2
complex roots occur in conjugate pairs
1 + i is a root then so is 1 - i
the factors of the polynomial are therefore
f(x) = (x - 1 )(x - (1 + i))(x - (1 - i))
= (x - 1 )(x² - 2x + 2 ) ( expand factors and simplify )
= x³ - 3x² + 4x - 2
Answer:
f(x) = x3 – 3x2 + 4x – 2
Step-by-step explanation:
Are the following figures similar?
a. No; the corresponding angles are not congruent.
b. No; the corresponding sides are not proportional.
c. Yes; the corresponding angles are congruent.
d. Yes; the corresponding sides are proportional.
Answers
a no the corresponding angles are not congruent
∠A ≠ ∠E and ∠D ≠ ∠H
Answer:
No, the corresponding angles are not congruent.
Step-by-step explanation:
In the bigger model, the corresponding angles are 1 degree bigger