Answer:
(12;7)
Step-by-step explanation:
i think thats the answer but im not sure at which point the triangle is being rotated about.
Answer: it should be x= 1 y= -4 or (1, -4)
Step-by-step explanation: so when it says to rotate the triangle counter clockwise 180 degrees it basically is asking you to reflect the triangle, the reflection of 3,8 (c) is going to be -3,-8. The question then asks you to move the point/figure 4 right and 4 up, this would mean you add 4 to -3 (getting 1) and 4 to -8 (getting -4) which leaves your final answer to be
To further elaborate why you add 4 to both sides, when you translate a figure to the right, you add 4, when you translate a figure to the left, you subtract 4 from x
when going up, you add 4 to y and when going down you subtract 4 to y
(Take note that it’s not 4 every time, 4 in this case is just how much the question is asking you to translate the figure by x and y)
(1,-4) for point c
O15.00
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During the annual Black Friday Sale,
The OLX sold a pair of ski boots,
regularly priced at $245.00, at a
discount of 40%. The boots cost
$96.00 and expenses are 26% of the
regular selling price. For how much
were the ski boots sold?
Answer:
$98.00
Step-by-step explanation:
$245.00×.40 = $98.00
the ski boots are sold for $98.00
graph of function f(x)=1/x+7-14
What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
Find the average rate of change of g(x)= -3x² -1 between the points (-3, -28) and (3, -28)
The average rate of change of a function between points (a, b) and (c, d) on the graph of the function is given by:
rate of change = (d - b)/(c - a)
For this problem, we have the function g(x) = -3x² - 1, and we want to find the average rate of change between two points on the graph of the function, which are:
(-3, -28) and (3, -28)
Notice that both points belong indeed to the graph of g(x) since
-3(±3)² - 1 = -3 * 9 - 1 = -27 - 1 = 28
So, to find the average rate of change between those points, we can use the above definition with
a = -3
b = -28
c = 3
d = -28
Then, the average rate of change is given by:
rate of change = [-28 - (-28)]/[3 - (-3)] = (-28 + 28)/(3 +3) = 0
Therefore, the average rate of change is 0.
(6 points) which answer describe the shape below? Check all that apply
Answer:
(E) square
Step-by-step explanation:
because it's all side's are equal
A, B, C, D, E, F
A square is all of them :D
Use Gaussian elimination and three-digit chopping arithmetic to solve the following linear system and compare the approximation to the actual solution 58.921 + 0.0322 59.2 6.1081 5.3112 47.0 Actual solution is [1, 10]
Using Gaussian elimination with three-digit chopping arithmetic, we obtained the approximate solution of (1.017, 8.190) for the given linear system.
We can write the augmented matrix of the system as follows:
[58.9 0.03 | 59.2]
[-6.10 5.31 | 47.0]
To perform Gaussian elimination with three-digit chopping arithmetic, we will round each number to three decimal places and perform the computations using the rounded numbers.
Step 1: Round each number to three decimal places.
[58.900 0.030 | 59.200]
[-6.100 5.310 | 47.000]
Step 2: Use row operations to transform the matrix into row-echelon form.
We can eliminate the coefficient in the (2,1) position by adding 0.104 times the first row to the second row. We can then eliminate the coefficient in the (1,2) position by subtracting 0.001 times the second row from the first row.
[58.900 0.030 | 59.200]
[ 0.000 5.820 | 47.617]
Step 3: Use back-substitution to solve the system.
The system is now in upper triangular form, so we can solve it by back-substitution. We get:
5.820x₂ = 47.617
x₂ = 8.190
58.9x₁ + 0.03(8.190) = 59.2
58.9x₁ = 59.2 - 0.2457
x₁ = 1.017
The approximate solution using three-digit chopping arithmetic is (1.017, 8.190). We can compare this to the actual solution (1, 10) by computing the norm of the difference vector:
||(1.017, 8.190) - (1, 10)|| = sqrt((0.017)² + (1.810)²) ≈ 1.810
The norm of the difference vector is approximately 1.810, which indicates that the approximation is not very accurate.
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Complete question is in the image attached below
Part B
-4 -3
Part A
-2
Part C
T
1) Part A
-2
-3
Part D
Which part of the graph best represents the solution set to the system of
inequalities y 2 x + 1 and y + xs-1? (5 points)
Part C is best represents the solution set to the system of inequalities .
Given that;
1st equation is,
⇒ y ≤ x + 1
And, 2nd equation is,
y + x ≤ –1
y ≤ -x -1
Since, 1st equation represent Part C and Part D region.
And, 2nd equation represent Part B and Part C region.
Thus, Part C is common among those.
So, Part C is best represents the solution set to the system of inequalities .
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3.6(5x4)divided 3+5.0=
Answer:
29 Hope this helps
Step-by-step explanation:
"Given expression is :
First we will simplify both numerator and denominator separately using order of operations. So....
Thus the expression.... "
-Sicista
(2-3i)+(-2+7i)= (2+ (− 2) ) + (−3+7)i
Answer:
is 121.004 I hope I've helped!
f(x) = -2x^2+3x-6
how does the function open
What is the product of the expressions (3)(−2)(−5)(7)?
Answer:
210
Step-by-step explanation:
3*10*7
30*7
210
Remember when multiplying even number of negative terms, it cancels out the negative.
what are the similarities and differences in linear and exponential in intercepts?
what are the similarities and differences in linear and exponential in domain and range?
what are the similarities and differences in linear and exponential in asymptotes?
what are the similarities and differences in linear and exponential in misc.?
Answer:
What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.
Graph of linear function
Graph of linear function
A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.
A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.
Examples of linear functions include:
If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.
Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.
If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.
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Exponential Functions
What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.
Graphs of exponential functions
Graphs of exponential functions
An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.
An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.
Examples of exponential functions include:
Step-by-step explanation:
Let A be a set of all infinite sequences consisting of 0's and 1's. Prove that A is not countable.
The proof that the set of all infinite sequences of 0's and 1's is not countable is a classic example of Cantor's diagonal argument.
Infinite Sequence Not CountableSuppose for the sake of contradiction that A is countable, which means that it can be put in one-to-one correspondence with the natural numbers. Let's assume that there exists a function f from the natural numbers to A that maps each natural number n to the sequence a_n.
We can construct a new sequence b that is different from all the sequences in the set A. To do this, we start by taking the first term of b to be the opposite of the first term of f(1), the first term of f(2), and so on. That is, if the first term of f(1) is 0, then the first term of b is 1, and vice versa.
Next, we do the same for the second term of b, by taking it to be the opposite of the second term of f(1), the second term of f(2), and so on. And so on, for each term of the sequence b.
Since b is constructed in such a way that it is different from every sequence in the set A, it follows that there cannot be a natural number n such that b = f(n), which contradicts the assumption that the set A is countable.
Therefore, the set of all infinite sequences of 0's and 1's cannot be put in one-to-one correspondence with the natural numbers, and hence it is not countable.
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Mike can be paid in one of two ways based on the amount of merchandise he sells:Plan A: A salary of $850.00 per month, plus a commission of 10% of sales, ORPlan B: A salary of $1,050.00 per month, plus a commission of 14% of sales in excess of $7,000.00.For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $7,000.00Write your answer an an inequality involving x, where a represents the total monthly sales.
We are looking for the point at which the compensation from Plan A is less than the compensation from Plan B.
Plan A = 850 +0.1x
Plan B= 1050+(x-7000)(0.14)
Plan A < Plan B
850 +0.1x <1050+(x-7000)(0.14)
then we sill simplify
850+0.1x < 1050+0.14x-980
850+0.1x<70+0.14x
then we isolate the x
0.1x-0.14x<70-850
-0.04x<-780
x>-780/-0.04
x>19500
In this case the monthly sales x need to be greater than 19500 (x>19500), in order that Plan B were better than plan A.
Answer of question 3 pls
The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]
What is the shape of the graph of a quadratic function?The shape of the graph of a quadratic function is a parabola.
The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816
Where;
t = The time in seconds
The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;
The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)
Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7
Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7
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You are ordering shirts for the math club at your school. Short-sleeved shirts cost $8 each. Long-sleeved shirts cost $16 each. You have a budget of $300 for the shirts. The equation $8x+16y=160$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
On the graph, the graph equation has been drawn, crossing the y and x-axis points (0, 10) and (20, 0).
What is a graph equation?To calculate the slope m and the y-intercept, write the equation y = MX + b.
The slope and y-intercept can then be used to graph the equation (0, b).
The three primary forms of linear equations are point-slope, standard, and slope-intercept.
So, the equation is as follows:
8x+16y=160
Now,
The short sleeves are symbolized by an x.
y is a symbol for the long sleeves.
The equation must now be plotted as follows:
(Please see the graph below.)
As a result, the y and x-axis points (0, 10) and (20, 0) intersected by the equation.
Therefore, on the graph, the graph equation has been drawn, crossing the y and x-axis points (0, 10) and (20, 0).
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Please someone help?
Answer:
C
Step-by-step explanation:
C is congruent to A
What is the volume of this cone? Use I 3.14 and round your answer to the nearest hundredth. LI cubic inches
The volume of a cone is given by
\(V\text{ = }\frac{1}{3}\pi\text{ r}^2\text{ h }\)Diameter = 34 in
radius = 34/2 = 17 in
Height = 17in
\(\begin{gathered} V\text{ = }\frac{1}{3}\text{ x 3.14 x 17 x 17 x17} \\ V\text{ =5142.27 inches} \end{gathered}\)
A silversmith combined pure silver that cost $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce. How many ounces of pure silver were used to make an alloy of silver costing
$28.87.per.ounce?
32 ounces of pure silver were used to make the silver alloy.
Here, we are given that a silversmith combines pure silver that costs $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce.
Let the amount of pure silver = x oz
Cost of pure silver = $34.48 per ounce
Thus, total cost of pure silver = $34.48x
Similarly, amount of silver alloy = 51 oz
Cost of silver alloy = $25.35 per ounce
Thus, total cost of silver alloy = 25.35 x 51 = $1292.85
Now, the total weight of the new silver allow formed = (x + 51) Oz
and the cost of this new allow = $28.87 per ounce
Thus, the total weight of the new alloy = $28.87 (x + 51)
Hence, we can form the following equation-
$34.48x + $1292.85 = $28.87 (x + 51)
34.48x + 1292.85 = 28.87x + 1472.37
34.48x - 28.87x = 1472.37- 1292.85
5.61x = 179.52
x = 179.52/ 5.61
x= 32
Hence, 32 ounces of pure silver were used to make the silver alloy.
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write an equation in STANDARD FORM of the line that passes through (-6,-10) and has the slope m=1/6
The equation of the line passing through (-6,-10) and having slope m = 1/6 in Standard From is x - 6y = 54 .
In the question ,
it is given that ,
the required line passes through the point (-6,-10) ,
and has slope(m) = 1/6 ,
So , the equation of the line that passes through the given point and slope ,
is given by ,
(y - (-10)) = 1/6(x -(-6))
(y + 10) = 1/6(x + 6)
On cross multiplication ,
we get ,
6(y + 10) = x + 6
6y + 60 = x + 6
x - 6y = 60 - 6
x - 6y = 54
Therefore , The equation of the line passing through (-6,-10) and having slope m = 1/6 in Standard From is x - 6y = 54 .
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21.7.3 Quiz: Intersecting Lines and Proofs
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
P
T
D
B
The pairs of angles that are vertical angles in the figure are R and T.
In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.
Looking at the given options:
R and T are vertical angles because they are formed by the intersection of lines.
P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.
Therefore, the pairs of angles that are vertical angles in the figure are:
R and T
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Answer this equation 3(2-4d)-9dx43((2+4-34.2
please answer incorrectly
Answer:
12+ 23734.9d That's the incorrect answer.
A first number plus twice a second number is 10. Twice the first number plus the second totals 26. Find the numbers.
The smaller of the two numbers is what?
Step-by-step explanation:
let the first number be x &
the second number be y
x+2y=10×2
2x+y=26×1
2x+4y=20
2x+y=26
subtract
3y=6
divide both sides by 3
3y/3 = 6/3
y=2
put y=2 in x+2y=10
x+2(2)=10
x+4=10
x=10-4
x=6
the smallest number is 2
Which of these are equivalent to 11/4 choose all that apply
Answer: -11 ÷ 4; 11 ÷ (-4); \(\frac{-11}{4}\); \(\frac{11}{-4}\)
Step-by-step explanation:
A negative divided by a negative is a positive.
A positive divided by a negative or a negative divided by a positive is a negative.
heeeeeeeeeeeeeeellllllllllllllllllllpppppppppp
Answer:
Keep the circle closed like it is and draw an incresing line (towards the positive numbers)(basically towards the right) with the arrow at the end of it
Step-by-step explanation:
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
[Will Give Brainliest] What is the area of the trapezoid?
Enter your answer in the box.
Answer:
A = 378 in²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = \(\frac{1}{2}\) h (b₁ + b₂ )
where h is the perpendicular height between the bases b₁ and b₂
here b₁ = 6 + 15 + 6 = 27 , b₂ = 15 ( equal to middle section of b₁ ), h = 18, so
A = \(\frac{1}{2}\) × 18 × (27 + 15) = 9 × 42 = 378 in²
d. Henrietta Hardworker normally earns $8.50 per hour in a given 40-hour work-
week. If she works overtime, she earns time and a half pay per hour. During the
month of October, she worked 40 hours, 50 hours, 45 hours, and 42 hours for the
four weeks. How much did she earn fotal for October?
Answer:
1432.25
Step-by-step explanation:
8.50 x 40 = 340
340 x 4 = 1360
half of 8.50 is 4.25
4.25 x 10 = 42.5
4.25 x 5 = 21.25
4.25 x 2 = 8.5
add
1360 + 42.5 + 21.25 + 8.5 = 1432.25
i hope i did my math right, good luck mate
(GIVING BRAINLIEST & EXTRA POINTS!! PLS DRAW IT OUT! I DONT WANT TO KNOW THE ANSWER TO THE MULTIPLICATION, I WANT TO SEE HOW YOU SOLVE IT TO GET THE ANSWER :))
1. Use the square grid to find the area.
4 cm x 1 41 cm =_________
Here is the image:
Answer:
5
Step-by-step explanation:
1 1/4 x 4
(1 x 4) + 1 = 5/4
5/4 x 4/1 = 20/4
20/4 = 5/1
Hope this helped.
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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