Answer:
x=5
Step-by-step explanation:
You know that both diagonals would equal each other in a parallelogram. Set both equations equal to each other, and solve for x.
5x-17=2x-2
3x=15
x=5
Which expressions are equivalent to 64^1Check all that apply
The right answers are:
4^38^22^6Hope it helps.
please see the attached picture for full solution
Good luck on your assignment
Simplify 2x-(-3x+9). 5x-9 –x-9 x+9
Answer:
5x - 9
Step-by-step explanation:
2x -(-3x + 9)
2x + 3x - 9) DISTRIBUTE -1
5x - 9 COMBINE LIKE TERMS
Pls help!!!
If John and Peter share some money in the ratio 3:4, what fraction of the money does John receive?
Answer:
So 3/7 is the fraction of the money John received.
Step-by-step explanation:
3:4, so John is 3 and Peter is 4.
Now add these up for the denominator which is 3+4=7
and put Johns value over it, Johns value is 3.
So 3/7 is the fraction of the money John received.
14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000
His total earnings for a total sale of 7,000 could be 1450sh
How to determine his earnings for a total sale of 7,000.From the question, we have the following parameters that can be used in our computation:
Salary = 400
Commission = 15%
using the above as a guide, we have the following:
Total earnings = 400 + 15% * Total sales
So, we have
Total earnings = 400 + 15% * 7000
Evaluate
Total earnings = 1450
Hence, the total earnings is 1450
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Question
Simon earned 400sh weekly for goods sold and a commission of 15%
What could be his earnings for a total sale of 7,000.
The length of a rectangle is 3 yd longer than its width.
If the perimeter of the rectangle is 70 yd, find its length and width.
Answer:
Length= 19
Width=16
Step-by-step explanation:
(16x2)+(19x2)=70
38+32=70
What is the solution to the quadratic inequality?
6x2≥5−13x
[−52,13]
left square bracket negative 5 over 2 comma 1 third right square bracket
(−∞,−13]∪[52,∞)
left parenthesis negative infinity comma negative 1 third right square bracket union left square bracket 5 over 2 comma infinity right parenthesis
[−13,52]
left square bracket negative 1 third comma 5 over 2 right square bracket
(−∞,−52]∪[13,∞)
The solutions to the quadratic equation are [−5/2,1/3]. Option A
How to determine the solutionGiven the inequality;
6x^2≥5−13x
First, convert to quadratic equation
\(6 {x}^{2} - 5 + 13x \geqslant 0 \)
No, let's solve the quadratic equation using the factorization method
\(6 {x}^{2} + 13x - 5 \geqslant 0\)
Multiply 6 by -5 and find two factor that their product equals the number and their sum equal 13. Those two number are + 15 and -2
Substitute as 15x and 5
-2x in the inequality, we have;
\(6 {x}^{2} +15x - 2x - 5 \geqslant 0\)
Factor the common multipliers
\(3x(2x + 5) - 1(2x + 5) \geqslant 0\)
We have two expressions, written as;
\((3x - 1) (2x + 5)\geqslant 0\)
Let's solve to get the roots of x
\(3x+ 1 \geqslant 0 \)
\(x \geqslant 1/3\)
\(2x + 5 \geqslant 0\)
\(x \geqslant \frac{ - 5}{2} \)
Thus, the solutions to the quadratic equation are [−5/2,1/3]. Option A
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what's is the area of circle of circle with a radius of 7 inches use =3.14.
Answer: To find the area of a circle you use pi x rsquared. So just 3.14x7^2= 153.86
Step-by-step explanation:
Evaluate 3a - 4b for a = -1 and b =6
Answer:
-27
Step-by-step explanation:
3a - 4b
-3 - 4b
-3 - 24
-27
Let f(x) = x ^ 2 g(x) = sqrt(x - 1) and h(x) = 2x + 3 Express each function k as a composite of two out of these three functions.
k(x) = sqrt(x ^ 2 - 1)
We can write k(x) as the composition of g(x) and f(x).
k(x) = g(f(x))
How to express k(x) as a composition?A composition of two functions means that we need to evaluate one function in the other one.
Here we have the functions:
f(x)= x²
g(x) = √(x - 1)
h(x) = 2x + 3
And we know that:
k(x) = √(x² - 1)
So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:
k(x) = g(f(x))
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HELP NEEDED!! I don’t understand
Answer:
Slope = - 2.5
Step-by-step explanation:
A right angled triangle is drawn to meet the best fit line at any point on the graph,, the point at which the triangle meets the best fit line, provides the values for the rise and run used to calculate the slope, the ris ubsyge cgbage in y values and run is the change in x values ;
Rise, y2 = - 1 ; y2 = 4
Run ; x2 = 3 ; x1 = 1
Rise = y2 - y1 = - 1 - 4 = - 5
Run = x2 - x1 = 3 - 1 = 2
Slope = Rise / Run = - 5 / 2 = - 2.5
Prove (a) B(x+1,y)= x+y
x
B(x,y). (b) Γ(2x)= π
2 2x−1
Γ(x)Γ(x+ 2
1
).
The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX
a. To prove B(x+1, y) = x * B(x, y), proceed as follows.
Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).
Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .
Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).
Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.
Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).
Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .
Substitute this formula in the previous step to get,
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).
x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)
= x * B(x, y)
You have now proved B(x+1, y) = x * B(x, y).
b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).
Integrate ∫[0, ∞] (x(2x-1) * Start with dx.
Evaluating this integral using the permutation u = du is obtained.
Simplify the integral to (1/2) * Γ(x + 1/2).
Express sin(πx) as π / (Γ(x) * Γ(1 - x)).
Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.
Substituting the equations,
The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *
We get * (π / (Γ(x) * Γ(1 - x)))) dx.
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Choose the list of items that starts with the least dense and ends with the most dense:
A milk, maple syrup, honey
B water, alcohol, ping pong ball
C bolt, cherry tomato, soda cap
D corn syrup, dish soap, lamp oil
40 divided by [2=3 (17=15)] evaluate
The inverse operation of division by zero is deemed undefined; therefore, significant analysis for this expression cannot take place.
How to solveIt appears there's some confusion regarding the expression you supplied. To better interpret it, please consider making further explanations visible.
Nonetheless, an attempt to interpret is provided below:
40 divided by [(2=3)(17=15)]
Essentially, the intention is to multiply the results of each step in this expression. Let us begin assessing the individual components:
The first, 2=3 proves false as a statement; thus, we can grant it a value of zero.
Likewise, 17=15 sets out to be incorrect which, rightfully so, can also assume a figure of nothingness.
Let us now multiply the outcomes of both statements:
(0)(0) = 0
Finally, we divide 40 - the stated number - by the result from before:
40 ÷ 0
Conclusively, the inverse operation of division by zero is deemed undefined; therefore, significant analysis for this expression cannot take place.
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Evaluate the following:
40 divided by [2=3 (17=15)]
Use the function to solve the question. What is f(-3) ?
Answer:
-3 f
ithink
Step-by-step explanation:
We are told that x is -3. Based on the side conditions of this piecewise function, we evaluate the top portion only.
f(-3) = -1/2(-3) + 4
Take it from here.
Can you please help me solve?
The zeros of the polynomial function are x = -1 and x = 5
Finding the zeros of the polynomial functionFrom the question, we have the following parameters that can be used in our computation:
y = x⁴ - 4x³ - 4x² - 4x - 5
To calculate the zeros of the polynomial function, we create a graph of the polynomial
The point where the graph intersect with the x-axis are the zeros of the polynomial function
using the above as a guide, we have the following:
Zeros: x = -1 and x = 5
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90:120 table to garbage can?
Answer:
wto
Step-by-step explanation:
help me out with this question please...this is a practice question
Answer:
hope this helped, can i have brainliest please? :))
Step-by-step explanation:
mean - 6.5 mean=average, to find the average, you add up all of the number then divide by the quantity of numbers there are.
median - 6 and 7 so 6.5 median= number in the middle
Paige was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start of round 3 she was at -700 points. During the round she answered eight 400 point questions correct and she answered nine 600 points questions incorrect. What was her score at the end of the round?
Answer:
7900 points
Step-by-step explanation:
Answer:
-2900 points
Step-by-step explanation:
8*400=3200
-700+3200=2500 points
9*600=5400
2500-5400= -2900 points
Evaluate (m³ + 4) -n² if m= -4 and n=-6. Write your answer as an integer.
Answer:
-96
Step-by-step explanation:
m = -4
n = -6
(m³ + 4) - n² =
= [(-4)³ + 4] - (-6)²
= -64 + 4 - 36
= -60 - 36
= -96
Find the roots and the vertex of the quadratic on a calculator. Round all values to 3
decimal places (if necessary).
y=-x² + 6x + 72
solve the system by substitution. y= -2x + 18 y= -4x
Substitute -4x for y in equation y = -2x + 18 to obtain the value of x.
\(\begin{gathered} -4x=-2x+18 \\ -4x+2x=18 \\ x=\frac{18}{-2} \\ =-9 \end{gathered}\)Substitute -9 for x in the equation y = -4x to obtain the value of y.
\(\begin{gathered} y=-4\cdot(-9) \\ =36 \end{gathered}\)Thus solution of system of equation is (-9,36).
A clerical worker takes 4 times as long to finish a job as it does an executive secretary. Working together, it takes them 4 hr to finish the job. How long
the clerical worker, working alone, to finish the job?
Answer:
\(\frac{5}{16}\) hours or \(18\frac{3}{4}\) minutes
Step-by-step explanation:
\(\frac{1}{x} +\frac{1}{4x}= 4\\\\\frac{4}{4x}+\frac{1}{4x} =4\\\\\frac{5}{4x} =4\\\\5=16x\\\\x=\frac{5}{16}\)
Calculating into minutes.
\(60*\frac{5}{16}=\\\\\frac{300}{16} =\\\\18\frac{3}{4}\)
Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.
Image_7181
If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase
The volume of a cuboid toy chest is equal to their product of the length,
width, and height.
The correct option for the toy chest she should purchase is; Only toy chest A will provide the necessary storage space.Reasons:
The dimensions of the toy chest are;
Toy chest A;
Length = 5 feet
Width = 4 feet
Height = 2 feet
Toy chest B;
Length = 4 feet
Width = 2 feet
Height = 4 feet
Volume of Toy chest A = 5 ft. × 4 ft. × 2 ft. = 40 ft.³
Volume of Toy chest B = 4 ft. × 2 ft. × 4 ft. = 32 ft.³
The volume of the toy chest Mrs. Smith needs = 35 ft.³
The toy chest Mrs. Smith should purchase is Toy chest A, that has a volume of 40 ft.³, which can store items that with a volume of 35 ft.³
The correct option is; Only toy chest A will provide the necessary storage space
Possible question options obtained from a similar question found online are;
Either toy chest have the storage space needed
Neither has the storage space needed
Only toy chest A
Only toy chest B
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Please help i need it
Answer:
1 / 10 or 0.1
Step-by-step explanation:
3/4 ÷ 7 1/2 → .75 ÷ 7.5
= .1 → 1/10
Hope it helps!
select the fraction equivalent of 0.06. reduce to the lowest terms
Answer: 3/50
Step-by-step explanation:
0.06 = 6/100 , 100 would be the denominator because we have two figures after the decimal point. Each figures can also be represented by 10,
Again,
0.06 = 6 × 10-²
Now 0.06 = 6/100
= 3/50.
Therefore, the fractional form = 3/50 in its lowest term.
For each of the following equations state whether it represents a horizontal, vertical, or slanted Line. Then, state the value of the line's slope. If its slope is undefined, state Undefined.
Answer:
a) y=7 is a horizontal line then its slope is 0.
b) It is a slanted line, its slope is 2/3.
c) x=5 is a vertical line, so its slope is undefined.
Step-by-step explanation:
A line is represented by the following expression:
\(\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \end{gathered}\)The slope is defined by a change in y/change in x. The slope of a horizontal line is 0. The slope of a vertical line is undefined.
Therefore,
a) y=7 is a horizontal line then its slope is 0.
b) It is a slanted line, its slope is 2/3.
c) x=5 is a vertical line, so its slope is undefined.
calculate the unemployment rate based on the following data for a country: population: 200, employed workers: 140, labor force: 160, discouraged workers: 10.
The unemployment rate for the given country is 12.5%. This is calculated by subtracting the number of employed workers from the labor force and expressing the result as a percentage.
To calculate the unemployment rate, we need to use the rainly.com/question/24600056:
Unemployment Rate = (Number of Unemployed Workers / Labor Force) x 100%
We can calculate the number of unemployed workers by subtracting the number of employed workers from the labor force:
Number of Unemployed Workers = Labor Force - Employed Workers
Number of Unemployed Workers = 160 - 140 = 20
Now we can use the formula to calculate the unemployment rate:
Unemployment Rate = (20 / 160) x 100% = 12.5%
Therefore, the unemployment rate for this country is 12.5%.
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what is the output of the expression 14/3
I did
14/3=4 2/3
so the final answer is 4 and 2/3
WILL MARK BRAINLIEST PLEASE HELP
Graph. f(x)=2|x+1|−1 Use the Ray tool to graph the absolute value function.
The absolute value function has its vertex at (-1,-1)
Functions and graphsFunctions, tables, equations, relations and ordered pairs can be represented on graphs, and vice versa
The equation of the absolute value function is given as:
\(f(x) = 2|x + 1|-1\)
See attachment for the graph of the absolute value function
Vertex
From the attached graph, we can see that the absolute value function has its vertex at (-1,-1)
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Add the following lengths:
2' 8"
+ 1' 6"
Answer:
4 ft, 2 in
Step-by-step explanation:
2 ft, 8 in plus 1 ft, 6 in = 3 ft, 14 in
there are 12 inches in a foot
3 ft, 14 in equals 4 ft, 2 in
Answer:
4' 2" inches (rounded)
Step-by-step explanation:
2' 8" + 1' 6" = 4.16666667 feet (exact number)
4.16666667 ≅ 4' 2"