The expression simplifies to 5 is -27/3 +14 .
The option D is correct.
What is Simplification?
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.
Given,
Which expression simplifies to 5?
Here, Options are
A. 27/3 - 14
= 9 - 14 = -5
B. 27/3 + 4
= 9 + 4 = 13
C. --27/3 - 4
= -9 - 4 = -13
D. -27/3 +14
= -9 + 14 = 5
Hence, The expression simplifies to 5 is -27/3 +14 .
The option D is correct.
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What is the result of adding these two equations? 2c + 3y = -5 5x - y = -12
2x + 3y = -5
5x - y = -12
add result is
(2x + 5x) + (3y - y) = -5 -12
7x + 2y = -17
Answer is
7x + 2y = -17
Please answer I need this answer for my test tmr
help me please
thank you
Answer:
Domain: A, [tex](-\infty, \infty)[/tex]
Range: A, [tex][4, \infty)[/tex)
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
graph the linear equation and identify the aloe and y-intercept: y = -2/5x-4
the given expression is,
y = -2/5 - 4
the y-intercept of this equation is -4
f(x)=9x^4-28x^3+159x^2+12
Answer:
You really can't solve this one because there is no x value to solve with
6 11 x 4 which statement is true about the expression above unit test
A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.
An illustration of a conditional statement?
Example: A conditional statement is present. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.
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x =5|y| - 3Step 1 of 2: Find four points contained in the inverse.
First, we find the inverse
[tex]y=-4|x|+3[/tex]Then, we solve for x = 1, 2, 3, 4.
[tex]\begin{gathered} y=-4|1|+3=-4+3=-1 \\ y=-4|2|+3=-8+3=-5 \\ y=-4|3|+3=-12+3=-9 \\ y=-4|4|+3=-16+3=-13 \end{gathered}[/tex]Hence, the points are (1, -1), (2, -5), (3, -9), and (4, -13).Evaluate the function f(x) for the indicated values of x, if possible. Then find the domain of f. f(x)=2x^-x+1; x=2,-2
Answer:
5
Step-by-step explanation:
If my interest rate is 2% and Time(years) is 20 and the interest paid(dollars) what is the Principal borrowed (dollars) ?
As per the given rate of interest 2% ,time 20 years and interest paid is $400 then the principal borrowed is equal to $1000.
As given in the question,
Given data :
Rate of interest is equal to 2%
Time for which interest paid is equal to 20 years
Interest paid in dollars is equal to $400
Let P be the Principal borrowed in dollars ,
Simple interest = ( Principal × Rate of interest × time )/100
⇒400 = (P × 2 × 20 ) /100
⇒ P = ( 400 × 100 ) / 40
⇒ P = $1000
Therefore, for the given rate of interest 2% ,time 20 years and interest paid is $400 then the principal borrowed is equal to $1000.
The complete question is:
If my interest rate is 2% and Time(years) is 20 and the interest paid(dollars) is $400 what is the Principal borrowed (dollars) ?
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5ху(2x - y) + 617(22 + 6)
Evaluate
The evaluation of the equation will be 10x²y-5xy²+17216 where x,y⊆W; W stands for whole number.
What is equation?Equations are mathematical statements that contain two algebraic expressions on both sides of an equal sign (=). It depicts the equality relationship between the expression written on the left side and the expression written on the right side. L.H.S = R.H.S (left hand side = right hand side) appears in every mathematical equation. Equations can be used to calculate the value of an unknown variable that represents an unknown quantity. If the statement lacks the 'equal to' symbol, it is not an equation. It will be treated as an expression. In the following section, you will learn the distinction between equation and expression.
How to evaluate equation?You must substitute a number for each variable and perform arithmetic operations to evaluate an algebraic expression. Because 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can evaluate the expression after replacing the variables with their values if we know their values.
For the given equation,
5xy(2x-y)+617(22+6)
open the brackets,
10x²y-5xy²+17216
This is the required equation.
The equation will be evaluated as 10x²y-5xy²+17216 where x,y⊆W; W stands for whole number.
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A car at the junk yard weighed in a 20000 pounds. If the junk yard offers $50 per ton of scrap metal how much money would you make off this car?
We know that 1 ton is the same as 2000 pounds. Then we have:
[tex]\begin{gathered} 2000\rightarrow1 \\ 20000\rightarrow x \end{gathered}[/tex][tex]\begin{gathered} x=\frac{20000}{2000} \\ x=10 \end{gathered}[/tex]Hence the car weighs 10 ton and therefore you would make $500
Given the following table with selected values of f (x) and g(x), evaluate f (g(4)).
To find the value of f(g(4)), first, find the value of g(4).
According to the table, if x=4 then g(x)=-6. Then:
[tex]\begin{gathered} g(4)=-6 \\ \Rightarrow f(g(4))=f(-6) \end{gathered}[/tex]According to the table, if x=-6 then f(x)=4. Then:
[tex]f(-6)=4[/tex]Therefore:
[tex]f(g(4))=4[/tex]The answer is 4.
Need help with all five questions please help with ALL FIVE
Question 1.
Given:
Loan amount = $22,000
New Loan amount after reduction = $15,200
Let's determine how much of the debt he paid off.
To find how much he has already paid that year, we have:
Amount paid = Original loan amount - New loan amount
Amount paid = $22000 - $15200 = $6,800
Therefore, the amount he paid off that year is $6,800
ANSWER:
$6,800
Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices
The option that is true after the transformation is that; D) The segments share an endpoint.
What is the rotation of the given Line Segment?Usually when we rotate a line segment about the origin in a clockwise manner, we will discover that the transformation rule is;
(x, y) = (y, -x)
Now, in this case it is not about the origin but about the point C and as such the coordinate C will not change after rotation as only the coordinate D will have a change in coordinate.
The coordinates of C and D originally are C(3,1) and D(7,4) .
Thus, the new coordinate of D will be;
D' (−(y − b) + a, (x − a) + b)
D'( (−(4 − 1) + 3, (7 − 3) + 1)
= D'(0, 5)
Using distance coordinate formula which is;
d = √((y₂ - y₁)²+ (x₂ - x₁)²)
where;
(x₁, y₁) is the coordinate of the first point on the line
(x₂, y₂)
CD = √((7 - 3)²+ (4 - 1)²)
CD = 5
Likewise;
CD' = 5
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Complete Question is;
Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices
A) The segments have lengths with a ratio of 2:1.
B) The segments have lengths with a ratio of 1:2
C) The segments share both endpoints.
D) The segments share an endpoint.
Jennifer family loves to drink iced tea mixed with lemonade in the summer. Yesterday Jennifer mixed 4 ounces of lemonade and 8 ounce of iced tea in a tall glass for herself. then she made another pitcher to share with 8 ounces of lemonade and 24 ounces of iced tea. Did the glass and the pitcher have the same ratio of lemonade to iced tea Yes or no
Write both ratios as fraction and simplify them to check if they are equivalent.
4 ounces of lemonade : 8 ounces of iced tea
[tex]\frac{4}{8}=\frac{1}{2}[/tex]8 ounces of lemonade : 24 ounces of iced tea
[tex]\frac{8}{24}=\frac{1}{3}[/tex]Since 1/2 is not equal to 1/3, the ratio is NOT the same.
Therefore, the answer is:
[tex]No[/tex]i need help with this problem for my discussion post
Given: An absolute inequality
[tex]\lvert{2x+3}\rvert=15[/tex]Required: To solve the given absolute inequality.
Explanation: The absolute rule states
[tex]\begin{gathered} If\text{ }\lvert{x}\rvert=a,\text{ }a>0\text{ ,then} \\ x=a\text{ or }x=-a \end{gathered}[/tex]Hence for the given problem, we have
[tex]2x+3=15\text{ or }2x+3=-15[/tex]Solving these two equations
[tex]\begin{gathered} 2x=12\text{ or }2x=-18 \\ \end{gathered}[/tex]Which gives the value of x as
[tex]x=6\text{ or }x=-9[/tex]Hence the equation given can have two solutions.
Final Answer: The given equation can have two solutions as x=6 or x=-9.
Megan and Suzanne each have a plant. They track the growth of their plants for four weeks.
Whose plant grew at a faster rate, and what was the rate?
Suzanne’s at 2 inches per week
Suzanne’s at 1.5 inches per week
Megan’s at 3 inches per week
Megan’s at 2.5 inches per week
Mark this and return
Explain the key features of the exponential function y= a*b^x including the asymptote, key points on the graph, domain and range
ANSWER
• Domain: all real values
,• Range: all real positive values
,• Asymptote: y = 0
,• y-intercept: (0, a)
,• The graph is continuous and smooth
EXPLANATION
The domain of this exponential function is all real values because x can take any real value without creating discontinuities.
The range, on the other hand, is all real positive values, not including zero. This is because y = 0 is a horizontal asymptote - i.e. an exponential function such as this cannot be zero.
We can also find the y-intercept, which is the point where the graph crosses the y-axis. This occurs when x = 0,
[tex]y=a\cdot b^0=a\cdot1=a[/tex]So the graph contains the point (0, a), which is the y-intercept.
Since there are no discontinuities or "jumps", the graph is continuous and smooth.
The end-behavior is given by the value of b. If b is between 0 and 1, the graph is decreasing and, if b is greater than 1, the graph is increasing.
There are 15 green marbles, but jom guessed that there were 18 green marbles. what is his percent error? round your answer to the nearest tenths place.
Answer:
Explanation:
Given the following
Initial Marble = 15marbles
Amount Jom guessed = 18 Marbles
Difference = 18 - 15 = 3 Marbles
Percent error = Difference/Initial Marble * 100
= 3/18 * 100
= 300/18
= 16.7%
Hence the percentag
please explain I really need help thank you please explain write an expression equivalent to x - 3y + 4
-3y + x + 4
see explanation below
Explanation:To get an equivalent expression, we need to write the equation in such a way that we can get the original expression. SInce the expression doesn't have an equal to sign, we will rewrite the expression.
Original expression: x - 3y + 4
Rewritting the expression, we can make the y come before the x term or make the constant (4) come before either the x or the y term.
Or we can leave the expression as it is.
making the y come before the x term and the constant respectively:
-3y + x + 4
making the constant come before the y and x term respectively:
4 + x - 3y
leaving the expression as it is:
x - 3y + 4
Also note we can multiply or divide the expression by 1. It will still be the same:
Multiplying: 1(x - 3y + 4)
Dividing: (x - 3y + 4)/1
Any of the above is an equivalent expression to x - 3y + 4
Let's pick: -3y + x + 4
helpppppppppppppppppp
Stem 1
Write out all the possible outcomes.
1,2,3,4,5,6,7,8,9,10
OR mean addition and AND means multiplication.
step 2
[tex]undefined[/tex]What is the value of X?What is the length of JK?
The figure above is a kite . The 2 pairs of adjacent sides are equal. Therefore,
[tex]\begin{gathered} x+5=2x-7 \\ x-2x=-7-5 \\ -x=-12 \\ x=12 \end{gathered}[/tex][tex]\begin{gathered} JK=x+5 \\ JK=12+5=17 \end{gathered}[/tex]What is the equation of this line
A:y=3/4x-2
B:y=4/3x-2
C:y=-3/4x-2
D:y=3/4x+2
What is 75% of 200?
Responses
A 2.62., 6
B 125125
C 175175
D 1500015000
E 150
First rewrite 2/5 and 1/20 so that they have a common denominator
EXPLANATION;
Given;
We are given the two numbers,
[tex]\frac{2}{25}\text{ }and\text{ }\frac{1}{20}[/tex]Required;
We are required to arrange them in order and the solution is as follows;
[tex]\begin{gathered} \frac{2}{25}=\frac{4}{4}\times\frac{2}{25} \\ \\ \frac{2}{25}=\frac{8}{100} \end{gathered}[/tex][tex]\frac{1}{20}\times\frac{5}{5}=\frac{5}{100}[/tex]As we can see, the fractions have been replaced with equivalent and these are;
[tex]\frac{2}{25}(\frac{8}{100})>\frac{1}{20}(\frac{5}{100})[/tex]As we can see, eight out of 100 is greater than 5 out of 100. Therefore;
ANSWER:
[tex]\frac{2}{25}>\frac{1}{20}[/tex]Sketch the parabola using the given information. Vertex (0,-2), point (5,8)
Take into account that in a general way, a parabola can be written as follow:
y = a(x - h)^2 + k
where,
a: is the leadding coefficient
(h,k): vertex of the parabola
In order to graph the parabola, first calculate the value of a, by using the following information:
(h,k) = (0,-2)
(x,y) = (5,8)
Replace the previous values into the equation of the parabola and solve for a:
[tex]\begin{gathered} 8=a(5-0)^2-2 \\ 8=25a-2 \\ a=\frac{8+2}{25}=\frac{10}{25}=\frac{2}{5} \end{gathered}[/tex]Then, the equation of the given parabola is:
[tex]\begin{gathered} y=\frac{2}{5}(x-0)^2-2 \\ y=\frac{2}{5}x^2-2 \end{gathered}[/tex]Another point could be:
x = -2
[tex]\begin{gathered} y=\frac{2}{5}(-2)^2-2 \\ y=\frac{2}{5}(4)-2 \\ y=\frac{8}{5}-2 \\ y=-\frac{2}{5} \end{gathered}[/tex]the point is (-2,-2/5).
Then, the graph is:
¿Cuáles son las potencias de 5 que se encuentran entre el número 1 y el número 200?
One thing to take into consideration is the unit names' digit names.
Under the specified conditions, the power of 5 corresponds to the numbers 5, 25, 125.
When does one number become a multiple of another?If a number A is completely contained within a number B, then it is possible to say that the two numbers are identical. It is said:
B = n.A
B = number multiplier
n = natural number
A = base number, interest number
In our case, the following procedure is followed:
Base number = Multiples between 1 and 200.
Para n = 1:5(1)=5
Para n = 2:5(2)=25
Paragraph = 3:5(3)=125
Paragraph =4: 5(4)=625
Does not satisfy the condition
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Eleanor can run 300 meters in 85 seconds. If their speed remains constant, how many meters could they run in 395 seconds? Round to one decimal.
Given that Eleanor can run 300 meters in 85 seconds;
[tex]r=\frac{300}{85}\text{ m/s}[/tex]We want to calculate how many meters it can run in 395 seconds;
[tex]\text{distance = speed}\times\text{ time}[/tex]substituting;
[tex]\begin{gathered} d=\frac{300}{85}\times395 \\ d=1,394.1\text{ meters} \end{gathered}[/tex]Therefore, the distance they can run in 395 seconds is;
[tex]1,394.1\text{ meters}[/tex]Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB=(6x-3)°
mZBOC = (6x +18)
mZCOD= (3x+12)°
mZAOB=
mZBOC=
mZCOD=
Vz
O
The values of the angles are m∠AOB = 27°, m∠BOC = 48° and m∠COD = 27°.
Congruency may be defined as the property between two shapes or figures which shows same behavior in their shape and size. The symbol for congruency is given by '≅'. If one image is mirror image of another, then also both are said to be congruent. From the figure ∠AOB is congruent to ∠COD. We have the value of m∠AOB = 6x - 3 and m∠COD = 3x + 12. Equating these two values we get
6x - 3 = 3x + 12
3x = 15
=> x = 5
Now, the value of m∠AOB = 6x - 3 = 27°, value of m∠BOC = 6x + 18 = 48° and of value m∠COD = 3x + 12 = 27°.
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ASAP PLS! Three points determine △ABC. The distance between A and B is 22.2 feet. The distance between B and C is 9.9 feet.
What is the range for the distance between A and C?
The range of the distance from A to C is greater than ------
feet and less than -------
feet.
Answer:
The range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.
Step-by-step explanation:
Triangle Inequality Theorem
The measure of any side of a triangle must be less than the sum of the measures of the other two sides.
Given:
AB = 22.2 ftBC = 9.9 ftTaking AB to be the longest side of the triangle.
The measure of AB must be less than the sum of AC and BC:
⇒ AB < AC + BC
⇒ 22.2 < AC + 9.9
⇒ 22.2 - 9.9 < AC
⇒ 12.3 < AC
⇒ AC > 12.3 ft
Taking AC to be the longest side of the triangle.
The measure of AC must be less than the sum of AB and BC:
⇒ AC < AB + BC
⇒ AC < 22.2 + 9.9
⇒ AC < 32.1 ft
Therefore, the range of the distance from A to C is greater than 12.3 feet and less than 32.1 feet.
Find the midpoint between the two points (5,-7) and (5,7)
In order to determine the midpoint between the given points, use the following expressions for the x and y coordiantes of the midpoint:
[tex]\begin{gathered} x=\frac{x_1+x_2}{2} \\ y=\frac{y_1+y_2}{2} \end{gathered}[/tex]where (x1,y1) and (x2,y2) are the coordinates of the given points.
In this case. you have:
(x1,y1) = (5,-7)
(x2,y2) = (5,7)
[tex]\begin{gathered} x=\frac{5+5}{2}=\frac{10}{2}=5 \\ y=\frac{-7+7}{2}=0 \end{gathered}[/tex]Hence, the coordinates of the midpoint is (5,0)
