the answer is letter d)
if u arrange it correctly it will be -x +2y=2
-½x+y=1
then multiply -½ by the first equation and multiply -1 by the second equation..
then change the signs of the second equation
then cancel x .. then y =1
then substitute y with 1
..it won't be correct
The expression 3 1/2x + 18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the strangle
Answer:
L = 1/2x
Step-by-step explanation:
The perimeter of a rectangle is the sum of all four sides. In this case, the perimeter is represented by the expression 3 1/2x + 18.
Since the perimeter of a rectangle is the sum of the lengths of all four sides, so, if we know the perimeter and one side's length, we can find the length of the other side.
We can use the expression 3 1/2x + 18 to find the length of the rectangle.
Let's assume that the length of the rectangle is represented by the variable L and the width is represented by the variable W.
So we know that the perimeter of the rectangle is represented by the expression 3 1/2x + 18 and the perimeter of a rectangle is 2(L + W)
So we can write the equation
2(L + W) = 3 1/2x + 18
Expanding the left side of the equation:
2L + 2W = 3 1/2x + 18
Now we know that one of the sides of the rectangle is 1/2x so
L = 1/2x
Therefore, the expression that represents the length of the rectangle is 1/2x
N·58+ (4 x 12-40) to the power of 2
GEMDAS
The final answer is N * 58 + 64.
What is the PEMDAS?
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction (from left to right).
The order of operations (PEMDAS) tells us to perform the following steps:
Parentheses: (4 x 12 - 40) to the power of 2 = (-8)^2 = 64
Exponents: N * 58 + 64
Multiplication and Division: from left to right
Addition and Subtraction: from left to right
Hence, the final answer is N * 58 + 64, since we do not know the value of N we can't solve it.
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solve w/4+11/12=1/2-w/6
The simplified value of the equation is w = -1.
What is simplification?To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given equation w/4 + 11/12 = 1/2 - w/6
the equation is written as,
w/4 + w/6 = 1/2 - 11/12
solving by LCM
(3w + 2w)/12 = (6 - 11)/12
5w = -5
w = -5/5
w = -1
Therefore the value of w is -1.
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To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.
Answer: Shayla's method for determining whether a graph of a relation is a function is not completely accurate. While it is true that a function can only have one y-intercept, the converse is not necessarily true. A graph can have exactly one y-intercept and still not be a function.
For example, a vertical line has exactly one y-intercept, but it does not define a function because the same value of x can have multiple y-values.
It is also important to note that a graph can be a function even if it does not intersect the y-axis at all.
A more accurate way to determine whether a graph represents a function is to use the vertical line test. This test states that if a vertical line can be drawn through the graph such that it intersects the graph in more than one point, then the graph does not represent a function. If a vertical line can be drawn through the graph such that it intersects the graph in exactly one point, then the graph represents a function.
Step-by-step explanation:
what is the angle with tangent 1.125
Answer:
You can find the value of the tangent of any angle on a unit circle. Just draw a vertical line from the x-axis at either zero or pi until it intersects what is the extension of the radius through the angle. The length of that vertical line is the value of the tangent at the angle in question.
Step-by-step explanation:
In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).
Helpful Tip!:)
True or false ? Not all consumers act according to the classical definition of a rational consumer
Answer:
this statement is true .............
(Look at picture) Ty for the help
(30 POINTS) A newly hired lawyer receives a $15,000 signing bonus from a law firm and invests the money in a savings account at 4.75% interest. After 42 months, the lawyer checks the account balance.
Part A: Calculate the interest earned, to the nearest dollar, if the interest is compounded quarterly. Show all work. (2 points)
Part B: Calculate the interest earned, to the nearest dollar, if the interest is compounded continuously. Show all work. (2 points)
Part C: Using the values from Part A and Part B, compare the interest earned for each account by finding the difference in the amount of interest earned. (1 point)
Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?
$11
$12
$13
$14.
Answer: the answer is $13
Step-by-step explantion
To show work subtract 25 from all the answer so it would be:
$25 - $11 = $13 (13 is 3 more than 11) so $13 would be the answer because it said to find the scarf that cost $3 more than the other one so that means the the less expensive scarf is $11$25 - $12 = $13 (13 is 1 more than 12)$25 - $13 = $12 (12 is 1 less than 13)$25 - $14 = $11 (11 is 3 less than 14)Question Let f(x)=4x. Let g(x)=4x+2. Which statement describes the graph of g(x) with respect to the graph of f(x)? Responses g(x) is translated 2 units down from f(x). g open argument x close argument, is translated 2 units down from , f open argument x close argument, . g(x) is translated 2 units left from f(x). g open argument x close argument, is translated 2 units left from , f open argument x close argument, . g(x) is translated 2 units right from f(x). g open argument x close argument, is translated 2 units right from , f open argument x close argument, . g(x) is translated 2 units up from f(x).
Answer:
g(x) is translated 2 units up from f(x).
Step-by-step explanation:
f(x) = 4x
g(x) = 4x+2
g(x) = f(x) + d where d is an upwards translation from f(x)
Adding 2 is a vertical translation up 2 units
Jada told Noah that she has $4.20 worth of quarters and nickels in her pocket and 20 coins all together. Figure out how many of each type of coin she has.
Answer: We can set up a system of equations to solve this problem. Let x be the number of quarters and y be the number of nickels. We know that:
x + y = 20 (the total number of coins)
0.25x + 0.05y = 4.20 (the total value of the coins in dollars)
We can use the first equation to solve for one variable in terms of the other, and then substitute that into the second equation to get a single equation with one variable.
For example:
x = 20 - y
0.25(20-y) + 0.05y = 4.20
5-0.25y + 0.05y = 4.20
5= 4.20
y = 20 - 5
y = 15
x = 20 - 15
x = 5
So Jada has 5 quarters and 15 nickels in her pocket.
Step-by-step explanation:
The average cost of making rx televisions per week is
C(x) = x² - 40x+500 dollars per television.
a How many televisions should be made per week to
minimise the average cost?
b
<
Find the minimum average cost.
How many televisions are made per week if the average
cost is $200 per television?
Answer:
Step-by-step explanation:
a. To minimize the average cost, we need to find the value of x that minimizes the cost function C(x) = x² - 40x + 500.
This is the same as finding the minimum value of the parabola represented by the function. The vertex of the parabola is the point at which the parabola reaches its minimum or maximum value. The vertex form of a parabola is given by C(x) = a(x - h)² + k, where (h, k) is the vertex.
By comparing the given function with the vertex form of a parabola, we can find the vertex:
C(x) = x² - 40x + 500
= a(x - h)² + k
= (x - h)² + k
The x-coordinate of the vertex h = 40/2 = 20
So the minimum average cost occurs when 20 televisions are made per week.
b. To find the minimum average cost, we need to substitute the value of x = 20 into the cost function:
C(x) = x² - 40x + 500
= 20² - 40*20 + 500
= 400 - 800 + 500
= 100
So the minimum average cost is $100 per television.
If the average cost is $200 per television, we can set C(x) = 200 and solve for x:
200 = x² - 40x + 500
0 = x² - 40x + 300
This is a quadratic equation that can be solved by factoring or by using the quadratic formula.
we can factor it as
0 = (x-50)(x-6)
x = 50 or x = 6
The number of televisions made per week if the average cost is $200 per television is 50 or 6. Since 50 is much higher than 20, the minimum average cost, it is not physically possible to make 50 televisions with the average cost of $200 per television. So the answer is 6 televisions per week.
George spent $109.65 for a radio, which was 43% of his savings. How much did he have in savings before
he purchased the radio?
Enter your answer in number form only. Do not attach a label.
The savings before he purchased the radio is
What is the percentage?A percentage is a figure or ratio that can be stated as a fraction of 100.
If we need to determine the percentage of the given number, we divide the number by its whole number and multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given cost of radio = $109.65
and $109.65 is 43% of his savings,
let saving be x
according to conditions,
43% of x = 109.65
43x/100 = 109.65
43x = 109.65 × 100
x = 10965/43
x = $255
Hence the saving of George is $255.
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Which table of ordered pairs represents the equation of the graph?
3x−2y=12
The table that represents the equation and the graph is
(-1, 7.5). (1, 4.5), (3, -1.5), and (5, 1.5)
How to find the table that represents the equationThis can be found by tracing the points on the graph or substituting into the equation
The equation is 3x − 2y = 12, rearranging will result to 1.5x - 6 = y
substituting the values of x into y = 1.5x - 6
for x = -1, y = 1.5 * -1 - 6 = -7.5
for x = 1, y = 1.5 * 1 - 6 = -4.5
for x = 3, y = 1.5 * 3 - 6 = -1.5
for x = 5, y = 1.5 * 5 - 6 = 1.5
Hence the third option while counting from top id the correct option
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The ordered pairs for the equation 3x - 2y = 12 is (-1, -7.5), (1, -4.5), (3, -1.5) and (5, 1.5)
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept.
Given the equation:
3x - 2y = 12
2y = 3x - 12
y = (3/2)x - 6
When x = -1; y = (3/2)(-1) - 6 = -7.5
When x = 1; y = (3/2)(1) - 6 = -4.5
When x = 3; y = (3/2)(3) - 6 = -1.5
When x = 5; y = (3/2)(5) - 6 = 1.5
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Find the length of the midsegment of each trapezoid.
W
P
17.5
A) 12.7
C) 13.1
?
V 6.1
U
Q
T
B) 8.2
D) 11.8
teacup mass and 4 cups is $1280
The mass per cup for the objects will be 320g and 272g respectively.
What is mass?
Mass simply means the weight that an object contains.
The mass of a teapot and 4 cups is 1,280 grams. The mass per cup will be:
= Mass / Number of cups
= 1280 / 4
= 320g
The mass of the same teapot and 10 cups is 2,720 grams. The mass per cup will be: = 2720 / 10 = 272g
Hence, the mass per cup for the objects will be 320g and 272g respectively.
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Complete questions:
The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass?
Which is equal to sin31°?
Answer: 0.515
Step-by-step explanation:
Since our angle is between 0 and 90 degrees, it is located in Quadrant I
In the first quadrant, the values for sin, cos and tan are positive.
Since 31° is less than 90, we can express this in terms of a cofunction
sin(θ) = cos(90 - θ)
sin(31) = cos(90 - 31)
sin(31) = cos(59)
hope this helps!
The value of sin 31° is 0.51504.
Sin 31 degrees is the value of the sine trigonometric function for an angle equal to 31 degrees.
The sin of 31 degrees is 0.51504, but the sin of 31 degrees can also be expressed in radians. To obtain 31 degrees in radian multiply 31° by π/ 180° = 31/180π. Sin 31degrees = sin (31/180 ×π)
The results of sin31° are rounded to five decimal places.
The following are identities of sine 31° :
sin31°
= cos (90°-31°) = cos 59°
= sin (180°-31°) = sin 149°
-sin31°
= cos (90°+31°) = cos 121°
= sin (180°+31°) = sin 211°
Therefore, The value of sin 31° is 0.51504.
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Convert areas (or volums) into the same units in each pair. What fraction will you get
if (after the conversion) you divide first number in each pair by the second number?
Write each fraction in simplest form.
2 in² and 5 yd²
The fraction is 0.001545/5 =0.00309/1 .
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
2 in² and 5 yd²
now,
1 inch =0.0278yard
so, we get,
2in^2=0.001545 yd^2
i.e. 0.001545/5
=0.00309/1
hence, The fraction is 0.001545/5 =0.00309/1 .
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Select all the correct answers.
Which functions are the same as their inverse functions?
0
○
O
f(x) = x-1 x = -5
x+59
g(x) = x= 1, x ‡ 1
x−
Oh(x) =
x+3
x-2, x2
x+1
k(x) = ² ±¹, x ‡ 1
Answer:
Hi!
0 is basically inverse 0
any integer Inverse change the function
Required information
[The following information applies to the questions displayed below.]
The following financial statement information is from five separate companies.
Company C
$ 20,480
11,059
Beginning of year
Assets
Liabilities
End of year
Assets
Liabilities
Changes during the year
Stock issuances
Net income (loss)
Cash dividends
Company A
$ 32,000
26,240
37,000
6,000
8,390
3,500
Company B
$ 24,960
17,472
26,640
18,115
1,400
?
2,000
?
12,147
9,750
5,400
5,875
2a. What is the amount of equity at the beginning of the year for Company B?
2b. What is the amount of equity at the end of the year for Company B?
2c. Compute the net income of the year for Company B.
Complete this question by entering your answers in the tabs below.
Company D
$ 56,960
39,302
Answer is complete but not entirely correct.
67,340
32,323
?
10,359
0
Company E
$ 87,360
?
102, 120
80,674
6,500
8,474
11,000
Answer:
this is very big question and the answer I think so is 11474
Mr. Haque is 21 years old. He is 3 times as old as Ms. Nahar. Write and solve an equation to determine Ms. Nahar's age,a.
Answer:
Ms. Nahar is 7 years old.
Step-by-step explanation:
21/7 =3
Answer:
She is 7 years old if he is 21
Step-by-step explanation:
21/3
A study shows that 80% of the population of a city have brown eyes and 20% do not. The study also shows that 30% of the people who do not have brown eyes do not have brown hair, while 90% of the people who have brown eyes have brown hair. A relative frequency table was constructed for this data. What is the largest marginal relative frequency and its interpretation?
0.72; Individuals with brown eyes
0.80; Individuals with brown eyes
0.86; Individuals with brown hair
0.90; Individuals with brown hair
Answer: I believe the answer is A; 0.72
Answer: The largest marginal relative frequency is 0.90 and it represents the probability of an individual having brown hair given that they have brown eyes.
Step-by-step explanation:
The reason why 0.90 represents the probability of an individual having brown hair given that they have brown eyes is because the study shows that 90% of the people who have brown eyes also have brown hair. This is a conditional probability, which means that it is the probability of one event happening given that another event has already happened. In this case, the event of having brown hair is conditional on the event of having brown eyes. The probability of 0.90 is calculated by taking the total number of individuals with brown eyes and brown hair and dividing it by the total number of individuals with brown eyes. The number is large because 90% of the individuals with brown eyes have brown hair, it is the largest because it is the highest probability among the other marginal relative frequencies. This indicates that the majority of people with brown eyes also have brown hair
In 10 tosses of seven coins, the numbers of heads were 2, 6, 2, 2, 5, 3, 5, 3, 3, 4. If the observations are denoted by Y1, Y2, Yn:
a. What is the value of n?
b. What is the value of Y2?
c. What is the value of Y7?
d. For what values of i does Y = 2? 3? 4?
e. Distinguish between Yi-1 and Yi – 1.
f. What do Yi-1 and Yi – 1 equal for i = 2?
g. Write the observations as a vector.
Answer: a. The value of n is 10, as there are 10 tosses of seven coins.
b. The value of Y2 is 6, as the number of heads in the second toss is 6.
c. The value of Y7 is 3, as the number of heads in the seventh toss is 3.
d. For i = 1, 2, 3, 4, the value of Y is 2. For i = 5, 8, the value of Y is 3. For i = 6, 9, 10, the value of Y is 4.
e. Yi-1 refers to the observation made in the previous toss (i-1), whereas Yi – 1 refers to the observation made in the current toss (i) minus 1.
f. Yi-1 = Y1 = 2 and Yi – 1 = Y2 – 1 = 6 – 1 = 5 for i = 2
g. The observations can be written as a vector Y = (2, 6, 2, 2, 5, 3, 5, 3, 3, 4)
Step-by-step explanation:
domain and range of
y = 1/2x - 1
The domain and range of the function y = 1/2 - 1 lies on (-∞, ∞)
What is Domain and Range of FunctionThe collection of all input values (sometimes referred to as independent variables) for which a function is defined and yields a valid output is known as the domain of the function. It is the collection of all possible values that can be entered into a function.
All real numbers, for instance, fall inside the domain of the function f(x) = x², since any real number may be squared to yield an accurate result.
On the other hand, a function's range is the collection of all feasible output values (also known as the function's dependent variable) that it can generate. It is the collection of all outcomes that the function is capable of producing.
For instance, since squaring real numbers makes the range of the function f(x) = x² all non-negative values.
It's vital to remember that not all functions have the same range or are defined for all conceivable input values. For instance, because the square root function x is not defined for negative numbers, all real numbers that are not negative fall within its domain.
In conclusion, the collection of all input values for which a function is defined and yields a valid output is known as the domain of the function. The collection of all potential output values that a function may produce is known as its range.
In the given function;
y = 1/2x - 1
The domain of this function is (-∞, ∞)
The range of the function f(x) = 1/2x - 1 is (-∞, ∞)
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(Look at picture) thanks! <3
Answer:
The annual passenger revenue of the rail transport corporation was $930 million when:
R = 930
-20|t-15| + 1,010 = 930
-20|t-15| = 80
|t-15| = 4
So, we can see that t-15 = 4 and t-15 = -4 both lead to an annual revenue of $930 million dollars.
To find the values of t, we add 15 to both sides of the equation:
t-15 = 4 => t = 19
t-15 = -4 => t = 11
So, the years where the passenger revenue was $930 million are:
2011
2019
Meryl pays £400 into her sister's South African bank account. How much ister receive if the current exchange
Answer:
8232 South African Rand
Step-by-step explanation:
The question cuts off at "if the current exchange" so the exchange rate is not specified. At the time of writing this answer, the echnage rate from one sterling pound to South African Rand is 1=20.58. So, we just need to multiply 20.58*400 to get 8232.
Evaluate the expression when b=4 and x-4. -7b+x
Answer: -32
Step-by-step explanation:
24 can be written as 24=2a
×3. What is the value of a
I hope this helped you
Answer:
a = 3
Step-by-step explanation:
24 x 2ªx 3
8= 2ª
a= 3
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{24 = 2a \times 3}\\\mathsf{\rightarrow 2a \times 3 = 24}\\\mathsf{\rightarrow 2(3)(a) = 24}\\\mathsf{\rightarrow 6(a) = 24}\\\mathsf{\rightarrow 6a = 24}\\\\\text{DIVIDE 6 to BOTH SIDES}\\\\\mathsf{\rightarrow\dfrac{6a}{6} = \dfrac{24}{6}}\\\\\text{SIMPLIFY it}\\\\\mathsf{\rightarrow a = \dfrac{24}{6}}\\\\\mathsf{\rightarrow a = 4}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{a = 4}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Note: 333 HRDs were invited to complete the survey,
one per organisation. 45% of invitees actually
completed the survey.
Healthcare
Consu
Information a
Communication
Infra
EnerBy
Basica
Inggers
0%
10%
20%
30%
If 30 more HRDS responded to the survey,
which of the following is the best estimate of
the number of people employed by the 30
organisations these HRDS represent?
Answer:
Step-by-step explanation:
Assuming that the same ratio of invitees to respondents holds true for the 30 additional HRDs, the best estimate of the number of people employed by the 30 organisations is 67.5 (30/45*100). This means that the total number of people employed by the 363 organisations represented by the 333 invited HRDs and the 30 additional HRDs is 5,475 (5,407.5 + 67.5).
Which of the following inequalities is modeled by the graph? (5 points)
Ox + 4y = 15; y ≥ 0
Ox - 4y ≥ 15; y ≥ 0
Ox+4y ≤ 15; y ≥ 0
O-x - 4y ≥ 15; y ≥ 0
The system of inequalties on the graph is:
x + 4y ≤ 15
y ≥ 0
Which system of inequalities is modeled by the graph?First, we can see a solid line at y = 0 and we have the region above that line shaded, so one of the inequalities is:
y ≥ 0.
The other inequality is a solid line with a negative slope and the shaded region is below the line.
The only option that has these characteristics is:
x + 4y ≤ 15
4y ≤ - x + 15
y ≤ (-1/4)x + 15/4
Then the system of inequalities is:
x + 4y ≤ 15
y ≥ 0
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