Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
1. Combine the constant terms by adding 7 and –2.
2.The equivalent expression is 9 + 3 k.
3. n, 5 k, and negative 3 k are like variable terms.
4. Combine the like variable terms by adding the coefficients.
5. 5 k and negative 3 k are like variable terms.
6.The constants 7 and –2 are like terms.
7. The equivalent expression is 5 + 2 k + n.
8. Combine the constant terms by adding 7 and 2.
Answers
Answer:
1. Combine the constant terms by adding 7 and –2.
4. Combine the like variable terms by adding the coefficients
5. 5 k and negative 3 k are like variable terms
6.The constants 7 and –2 are like terms.
7. The equivalent expression is 5 + 2 k + n.
Related Questions
A man loses 10 percent by selling his watch for 450 find the cost price of the watch
Answers
If a man loses 10 percent by selling his watch for 450 then the cost price of the watch would be 500.
Let's assume the cost price of a watch is 100.
So, after selling at a loss of 10 percent, the selling price of the watch is 90.
By comparing the assumed selling price of the watch with the original selling price, 450/90 = 5.
So, the original selling price is 5 times the assumed selling price.
Thus original cost price should also be 5 times of assumed cost price, so the original cost price × 5 = 100 × 5 = 500.
Hence the original cost price of the watch is 500.
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Choose the rectangle with an area of 18 square centimeters and a perimeter of 22 centimeters.
Answers
The dimension of the rectangles are l = 2 cm, 9 cm and b = 9 cm, 2 cm.
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
Given that,
Area of rectangle A = l x w = 18 sq cm. .......(1)
perimeter of rectangle P = 2(l + w) = 22 cm ........(2)
Find length(l) and width (w)
Use equation (1) to solve for length (l) then substitute it into equation (2) to solve for width (w).
18 = l x w
l = 18/w
Substituting in equation (2)
2(18/w + w) = 22 cm.
18/w + w = 11
Multiple both sides of the equation by w
18 + \(w^{2}\) = 11w
\(w^{2}\) - 11w + 18 = 0
Now solve by factoring.
(w - 9)(w - 2) = 0
=> w = 9 cm or 2 cm
If w = 2 cm, l = 18/2 = 9 cm.
If w = 9 cm, l = 18/9 = 2 cm.
Hence, The dimension of the rectangles are l = 2 cm, 9 cm and b = 9 cm, 2 cm.
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The function f(x) = e2x+1 when graphed could be described as:
a decreasing exponential graph.
an increasing exponential graph. an increasing linear graph.
None of these choices are correct.
Answers
The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.
How to Interpret Exponential Graphs?The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines.
Now, we are given the exponential function as; ƒ(x) = e^(2x + 1)
Now, as the exponent increases, the curves get steeper and the rate of growth increases respectively. Thus, we can see that the exponent we are given increases as seen in the exponent attached to it.
Thus, we can conclude that The function ƒ(x) = e^(2x + 1) when graphed could be described as; an increasing exponential graph.
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John took a 5 ½ mile walk to his friend’s house. He left at 11 a.m. and arrived at his friend’s house at 1 p.m. What was John’s speed in miles per hour?
Answers
Answer:
5.5 miles over 2 hours--> 5.5/2= 2.75 miles per hour was his average walking speed. 5.5 miles over 2.5 hours --> 5.5/2.5= 2.2 miles per hour on the return trip meaning that his average speed was (2.75-2.2= 0.55) 0.55 miles per hour lower on the return trip
Step-by-step explanation:
I hope this helps you :)
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Find the slope and the y-intercept of the line.
y=4x-7
Answers
Answer:
slope: 4
Y intercept: -7
Step-by-step explanation:
slope intercept form is y=Mx+b
m- slope
b- y intercept
Looking at this equation where m is 4 is so the slope is 4
And where b is -7 is so the y intercept is -7
Hopes this helps please mark brainliest
30/x = 54/81 what value does x have to be to make it true
Answers
Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
I need help please will markbrianlyest
Answers
what is the value of four and 3
Answers
Answer: 7
Step-by-step explanation: 4+3 = 7.
Jane made 720 biscuits for a fete.
She sold 70% of them at 25p each.
She sold the other 30% at 4 for 60p.
The biscuits cost her £40 to make.
Calculate her percentage profit.
Answers
Answer:
296%
Step-by-step explanation:
Total number of biscuits sold = 720
70% of 720 = 0.7 x 720
= 504
Amount of 504 biscuits sold = 504 x 25p
= 12600p
But 100p = £1
So that,
12600p = £126
30% of 720 = 0.3 x 720
= 216
But, she sold 216 biscuits at 4 for 60p.
The amount of 216 biscuits sold = \(\frac{216}{4}\) x 60p
= 54 x 60p
= 3240p
= £32.40
Total amount on sales = £126 + £32.40
= £158.40
But her cost price is £40.
Profit = £158.40 - £40
= £118.40
Her percentage profit = \(\frac{118.40}{40}\) x 100
= 296%
The least squares regression line minamizes the sum of the mean vquared errof. degrees of freedom. explained variance- squares error. total variance.
Answers
The least squares regression line minimizes the sum of the mean squared error.
The least squares regression line, also known as the ordinary least squares (OLS) regression line, is a straight line that represents the best fit to a set of data points. It is used to model the relationship between a dependent variable (Y) and one or more independent variables (X) based on the principle of minimizing the sum of the squared differences between the observed data points and the predicted values on the line.
Mean squared error (MSE) is a measure of how well the regression line fits the data points.
It represents the average of the squared differences between the actual values and the predicted values by the regression line.
By minimizing the sum of the squared errors, the least squares regression line finds the line that best fits the data in a linear regression model.
This line is the one that provides the best fit in the sense of minimizing the overall error in the predictions.
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X/4- 2 =x/8+4
What value of x makes the equation in the reference image true ?
Answers
Answer:
The answer to your question is x=48
Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.
x/4−2=x/8+4
1/4x+−2=1/8x+4
1/4x−2=1/8x+4
1/4x−2−1/8x=1/8x+4−1/8x
1/8x−2=4
1/8x−2+2=4+2
1/8x=6
8*(1/8x)=(8)*(6)
x=48
HELP PLSSS THIS IS HARD SOMEONE
Answers
Answer:
(-2,-1) i am pretty sure this is the answer because the 1/3 gives a big hint
please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it?
Answers
Answer:
short .
short becomes shorter when you add er .
Step-by-step explanation:
Answer:
shorter
Step-by-step explanation:
short
shorter
If 65% of a number is 208 and 15% ofthe same number is 48, find 80% of that number.
Answers
Answer:
256
Step-by-step explanation:
65% is 208
15% is 48
15% + 65% is 80%
So, just add 48 and 208 together:
48 + 208 = 256
Therefore, 80% of that number is 256.
Answer:
256
Step-by-step explanation:
We know that 65% of a number is 208 and 15% is 48, so we can simply add 208 + 48 to get 256.
if m=5, evaluate the following: 20-5m =
Answers
Answer:
-5
Step-by-step explanation:
20-5m
20-5(5)
20-25
5.
Is this the answer that you are looking for?
Pls help me with this math problem
Answers
Answer:
12 ima shoot u
Step-by-step explanation:
Show that the equation x^(1/lnx) = 2has no solution. what can you say about the function
Answers
In conclusion, the function f(x) = x^(1/lnx) is always positive and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞. The equation x^(1/lnx) = 2 has no solution.
To show that the equation x^(1/lnx) = 2 has no solution, we can analyze the properties of the function f(x) = x^(1/lnx) and examine its behavior.
Let's consider the domain of the function f(x). Since we have a logarithm in the denominator, we need to ensure that x is positive and not equal to 1, so x > 0 and x ≠ 1.
Now, let's investigate the behavior of f(x) as x approaches 0 from the positive side (x → 0+). In this case, ln(x) approaches negative infinity, and the exponent 1/ln(x) approaches 0. Therefore, f(x) approaches 0 as x approaches 0+.
Next, let's examine the behavior of f(x) as x approaches positive infinity (x → ∞). In this case, ln(x) approaches infinity, and the exponent 1/ln(x) approaches 0. Therefore, f(x) approaches 1 as x approaches ∞.
Considering the behavior of the function, we see that it is always positive (since x^(1/lnx) is positive for positive x) and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞.
Now, let's consider the equation x^(1/lnx) = 2. If such an x exists as a solution, it would mean that there is a point where the function f(x) equals 2. However, based on the behavior of the function described above, we can see that f(x) can never equal 2. Therefore, the equation x^(1/lnx) = 2 has no solution.
In conclusion, the function f(x) = x^(1/lnx) is always positive and approaches 0 as x approaches 0+ and approaches 1 as x approaches ∞. The equation x^(1/lnx) = 2 has no solution.
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This is due by Monday
Answers
1. The error is instead of adding 9 on both sides, it will subtract 9 from both sides.
The value x is 11.
2. 5 is not multiplied by 7.
The value of x is 55
What is an equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Given equation is
2x + 9 = 31
Subtract 9 from both sides:
2x + 9 - 9 = 31 - 9
2x = 22
Divide both sides by 2:
x = 22/2
x = 11
Given equation is
(x/5) - 7 = 4
Multiply 5 on both sides:
5(x/5 - 7) = 5 × 4
x - 35 =20
Add 35 on both sides:
x - 35 + 35 = 20 + 35
x = 55
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X- (-12)=25
( FIND X)
Answers
Step-by-step explanation:
X- (-12)=25
X+12=25
X=25-12
X=13
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a square insulating sheet 70.0 cm on a side is held horizontally. the sheet has 6.50 nc of charge spread uniformly over its area.
Answers
where E is the electric field, σ is the charge per unit area, and ε₀ is the permittivity of free space.Electric field = σ/2ε₀ = 6.50 x 10⁻⁹ C/m² / 2(8.85 x 10⁻¹² F/m)Electric field = 3.68 x 10⁴ N/C Therefore, the electric field due to the charged sheet is 3.68 x 10⁴ N/C.
A square insulating sheet 70.0 cm on a side is held horizontally. The sheet has 6.50 nc of charge spread uniformly over its area. The question is asking for the electric field due to this charged sheet.Using the equation below, we can solve for the electric field due to the sheet.E
= σ/2ε₀.where E is the electric field, σ is the charge per unit area, and ε₀ is the permittivity of free space.Electric field = σ/2ε₀
= 6.50 x 10⁻⁹ C/m² / 2(8.85 x 10⁻¹² F/m)Electric field
= 3.68 x 10⁴ N/C Therefore, the electric field due to the charged sheet is 3.68 x 10⁴ N/C.
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Find the area of a sector with a central angle of 9.6 radians and a radius of 21.4 units
Answers
Answer: So the area of the sector with a central angle of 9.6 radians and a radius of 21.4 units is approximately 1438.47 square units.
Step-by-step explanation: To find the area of a sector, we can use the formula:
A = (θ / 2π) * πr^2
Where θ is the central angle of the sector in radians, π is the constant approximately equal to 3.14, and r is the radius of the sector. In this case, θ is 9.6 radians and r is 21.4 units, so we can plug those values into the formula to get:
A = (9.6 / 2π) * π * 21.4^2
Simplifying, we get:
A = (9.6 / 6.28) * 3.14 * 461.96
This simplifies to:
A = 1.5 * 3.14 * 461.96
And finally, to get the area of the sector we multiply to get:
A = 1.5 * 3.14 * 461.96 = 1438.47 square units
So the area of the sector with a central angle of 9.6 radians and a radius of 21.4 units is approximately 1438.47 square units.
Use a table to find (−3+2j)(4j−7).
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (−3+2j)(4j−7) can be expression is,
(−3+2j)(4j−7)
= -12j + 21 + 8j² -14j
= 8j² -26j +21
Hence, the value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
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A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.
Answers
Answer:
108π ft² or 339.29 ft²Step-by-step explanation:
Refer to attached picture.
The grazing area of the goat is 3/4 of area of circle with 12 ft radius:
A = 3/4(πr²) = 3/4(π*12²) = 108π or 339.29 ft²
Tied to the corner
Means 1part among 4parts of circle or a quarter area
So grazing field
πr²-1/4πr²3/4πr²3/4(12)²π3/4(144)π108π339.3ft²13 points, please answer!
Which shows the dilation with a possible scale factor of 1/2?
Answers
Answer:
Option B
Step-by-step explanation:
With a scale factor of 1/2, the dilated shape should be smaller because of the scale factor, So in Option B the dilated shape is smaller than the real one.
1) Option A is an enlargement
2) Option B is reduction
3) Option C is equality
(This question may have more than one solution.) Let C be a fixed n × n matrix. Determine whether the following are linear
operators on R^X":
(a) L(A) = 1 - 1
(6) L(A) = 1 + 17
(c) L(1) = C1 + AC
(d) L(1) = C°1
(c) L(1) = 1?C
Answers
Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.
a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.
b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.
c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).
d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).
e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).
In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.
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i need help on all of this please
Answers
Answer:
Step-by-step explanation: the answer is 69-123
4x-9=2x+5..solve for X..Help?
Answers
Answer:
x = 7
Step-by-step explanation:
4x - 9 = 2x +5 add 9 from both sides
4x = 2x +14 subtract 2x from both sides
2x = 14. divide both sides by 2
x = 7
Answer:
x = 7
Step-by-step explanation:
Rewrite equation
4x - 9 = 2x + 5
Add 9 on both sides
4x -9 +9 = 2x + 5 + 9
Simplify
4x = 2x + 14
Subtract 2x on both sides
4x - 2x = 2x + 14 - 2x
2x = 14
Finally divide both sides by 2
2x/2 = 14/2
x = 7
Hope this helps :)
What is the area of a square with sides that each have a length of 1 meter?
Answers
Answer:
1 m^2
Step-by-step explanation:
A = W * L
1 * 1 = 1
PLEASE HELP ASAP!!!!
Carly mowed 2 more lawns than Rocco each week for 6 weeks. Carly mowed a total of 18 lawns. How many lawns did Rocco mow each week?
BEST ANSWER WILL BE MARKED BRAINLIEST!!!
Answers
Answer:
I think she mowed 6 lawns.
Step-by-step explanation:
Answer:
1 lawn each week
Step-by-step explanation:
Rocco lawns mowed each week=x
Carly's lawns mowed each week=x+2
Equation to show how much Carly lawned for 6 weeks
18 is the total amount of lawns
6 is the number of weeks
6(x+2)=18
Solve for x
6x+12=18
Subtract 12 on both sides
6x=6
x=1
x is the amount that Rocco lawned
HELPPP ASAP 10 POINTS
Answers
Answer:
sheesh
Step-by-step explanation: