The only set of elements that satisfied the equation 2x-1= -13 is {-6}.
What is a set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
Given the equation,
2x-1= -13
By taking -1 right-hand side
2x = -13 + 1 = -12
By dividing 2
x = -6
Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".
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Create a Box and Whisker Plot using the following data: 13, 16,
17, 19, 23, 24, 25, 27, 30, 32, 35. What is the median of the set
of data?
24 is the median number because it is found to be at the Middle of all digits
Help please I don’t understand it What is the sum of these questions?
1.X - 10=-9
2.X + 10 = -3
3.x- 3 = 4
4. x / 5 =2
5.22= -11k
6.-13m = -377
7.b - 7= -1
8.-8 = p - 13
9.-40 = -5p
10.-2 = m / 16
I need some help since I don't comprehend what you're asking.
1. A(x) = (f(x)-f(a)) / (x-a) This average rate of change function is called A. The function f's input is represented by x minus a, while the function f's response to the input changing from a to x is represented by f(x) minus f(a).
f(5)=-2 f(9)=14 (f(5)-f(9))/(5-9)=(-2-14)/-4=4 from the table.
Over the range of x = 5 to x = 9, the average rate of change is 4.
2. g(x)=2x2+13x+1, f(x)=4x2+6x
(f/g)(x)=(4x²+6x)/(2x²+13x+1)
Using the numbers shown in the table, x = 4,5,6,7,8,9 and f(x) = 88,85,155,116,180,151,238.190,304,233,378.280
3. f(x)=x2-6x+8, g(x)=x-2, x2-6x-x+8+2=0, x2-7x+10=0 f(x)=g(x)x2-6x+8=x-2x2-6x-x+8+2=0
x₁,₂=(7⁺₋√(7²-4*10))/2=(7⁺₋3)/2 x₁=5, x₂=2
Because 2 doesn't appear in the table of values, the answer using the table of values is x=5.
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Identify the vertex, axis of symmetry, and direction of the graph of each function. Compare the width of the graph to the width of the graph of f(x)=x^2
===================================================
Explanation:
Compare the equation
[tex]y = (x-2)^2 - 4[/tex]
to the vertex form
[tex]y = a(x-h)^2 + k[/tex]
we have:
a = 1h = 2k = -4The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.
The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.
Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.
If a < 0, then the parabola would open downward and have a highest point.
3.
A Dutch company built a submarine that can hold 10 passengers and 1
pilot. The submarine has a safety feature that will automatically raise the
submarine if it goes below the certified depth of -650 feet. To show this
feature to a buyer the submarine dove to a depth of -872 feet. The
automatic feature then raised the submarine 50 feet per minute.
5
12
5
How much time, in minutes, does it take for the submarine to reach the
certified depth? Round your answer to the nearest tenth of a minute.
Show your steps for partial credit.
12
A. 4.4 minutes
B. 12.8 minutes
C. 30.1 minutes
D. 50.6 minutes
2
Answer:
I believe the answer is C
Step-by-step explanation:
I think this because I gathered the info of -650, -872, and 50
Study the food web below and answer the following :
i. In the pyramid of numbers there is an increase in numbers towards the base. Mention a pyramid where the base will be smaller.
ii. Predict the impact of removing snakes from this food web
Answer:
predict the impact of removing snakes from this food web
1. Which of the following shows the statement 4 less than 12?
a. 4 - 12
b. 12 + 4
c. 12 - 4
d. 4 + 12
Answer:
C is correct
Step-by-step explanation: please let me know if it was rong
Determine whether the system is consistent. x1 x2 x3 = 7 x1 - x2 2x3 = 7 2x1 3x3 = 15
The given system is not consistent.
Given system of equations are:
[tex]x_1+x_2+x_3=7\\x_1-x_2+2x_3=7\\2x_1+3x_3=15[/tex]
Here the indeterminants are [tex]x_1,x_2,x_3[/tex]. A system of equations is consistent if it has at least one set of solution values for the indeterminants.
So we try to solve the above system of equations.
Subtracting the first two solutions, we get,
[tex](x_1+x_2+x_3)-(x_1-x_2+2x_3)= 0[/tex]
⇒ [tex]2x_2-x_3=0[/tex]
⇒ [tex]x_3=2x_2[/tex]
Rewriting all the three equations using this substitution,
[tex]x_1+x_2+2x_2=7\\x_1-x_2+4x_2=7\\2x_1+6x_2=15[/tex]
This implies,
[tex]x_1+3x_2=7\\x_1+3x_2=7\\2x_1+6x_2=15[/tex]
Since the first two equations are same, we need to solve the equations,
[tex]x_1+3x_2=7\\2x_1+6x_2=15[/tex]
Multiplying the first equation by 2 and then subtracting, we get,
0 = -1, which is impossible.
So the system has no solutions.
Hence the system is inconsistent.
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Given h(x) = 4x + 2, find h(5).
Answer:
22
Step-by-step explanation:
Simply substitute x = 5 in the function equation
h(5) = 4 (5) + 2 = 20 + 2 = 22
Given ~
[tex] \tt \: h(x) = 4x + 2[/tex]
[tex] \: [/tex]
put the value of x = 5 in given function ~
[tex] \tt \: h(5) = 4(5) + 2[/tex]
[tex] \: [/tex]
[tex] \tt \: h(5) = 20 + 2[/tex]
[tex] \: [/tex]
[tex] \underline{ \boxed{ \tt\red{h(5) = 22}}}{ \green ✓}[/tex]
[tex] \: [/tex]
hope helps ~
Evaluate the expression
so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16
You have two rectangles. Each has sides of length 9 and 7. You place them together side-by-side to form a larger rectangle. Which statement about the larger rectangle cannot be true?
The correct option is B: The larger rectangle can have the length of 7, width 9+9 and the area 7×9 + 7×9.
What is defined as the rectangle?A rectangle is a confined two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal but also parallel.The two rectangle are given with the same dimensions.
The length are given as 9 and 7.
The, both rectangle are placed such that they forms the larger rectangle;
The placing is such that side with the length of 9 units are joined together.
Thus, the new width of the rectangle will be; 7 + 7.
The length of rectangle will remain same of 9 units.
The area of rectangle = length x breadth
area of larger rectangles = 7×9 + 7×9.
Therefore, the option which correctly points the condition is option B.
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WILL MARK BRAINLIST
Answer!!!
A horse eats 18 kg of corn in 12 days. How much does he eats in 9 days?
and also one more question
is this in
Inverse proportion
or
Direct proportion
I'd like 75% of my order to be 3 cupcakes and the rest cookies.
How many cookies do I get?
Answer:
1 cookie
Step-by-step explanation:
75% = 75/100
75 and 100 are both divisible by 25, therfore the simplified verision is 3/4
[tex]\frac{75}{100} /\frac{25}{25} =\frac{3}{4}[/tex]
in order to get 100% we would need to:
3/4 + num of cookies = 4/4
re-arranged by subtracting 3/4 on bith sides:
num of cookie = 4/4 - 3/4
num of cookie = 1/4
meaning 1/4 of her orders is cookies
A teacher claims that the relationship between
number of hours studied for a test and test score can be
described by g(x) = 45 + 9x, where x represents the
number of hours studied. Graph this function
The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.
How to draw a Linear Equation Graph?
We are given the equation of line as;
g(x) = 45 + 9x
Where;
x represents the number of hours studied.
g(x) represents the test score
Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values
At x = -10;
g(x) = 45 + 9(-10)
g(x) = -45
At x = -1;
g(x) = 45 + 9(-1)
g(x) = 35
At x = 0;
g(x) = 45 + 9(0)
g(x) = 45
At x = 1;
g(x) = 45 + 9(1)
g(x) = 54
At x = 2;
g(x) = 45 + 9(2)
g(x) = 63
At x = 3;
g(x) = 45 + 9(3)
g(x) = 72
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Write a system of equations to describe the
situation below.
Turner is building bookshelves to sell at a furniture
store. First, he built 8 small bookshelves and 3 large
bookshelves, using a total of 369 nails. Later, he built
10 small bookshelves and 10 large bookshelves, using
a total of 780 nails.
Answer:
8x + 3y = 369
10x + 10y = 780
Step-by-step explanation:
x = small bookshelves
y = large bookshelves
8x + 3y = 369
10x + 10y = 780
Use the graph to complete each statement. Drag tiles to complete the statements.
Answer: A=ellen B=Dion C=Corey D= Alex E= Corey F=Ellen
Step-by-step explanation:
Find the measure of each marked angle. Assume the lines are parallel.
x+4=
9x-34=
The angles are 19; 101
What are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Given:
x+4, 9x-34
As, the lines are parallel
x+4 + 9x -34 = 180
10x + 30 = 180
10x = 150
x= 150/10
x=15
Hence, the angles are x+4 = 19; 9x-34 = 135 - 34 = 101
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Daniel makes $2,365 a month plus some money by commission. He gets 5% of everything he sells. If he sold $13,600 worth of items this month, what is his salary for the month?
TOWERS A lookout tower sits on a network of struts and posts. Leslie measured two angles on the tower. If m∠1=7x-7°, m∠2=4x+2°, and m∠3=2x+6°, what is m∠1?
please explain the answer i want to understand how this works.
Answer:The angles in a triangle add up to 180 degrees
Learning Task 2. Factor the following completely.
1. x²+3x-18
2. 3x²-9x-12
3. 18x²+3x-15
4. 5x²+32x+12
5. 3x³+24
Step-by-step explanation:
13 is the answer that is need
The length of a rectangle is four meters less than twice its width. If the perimeter of the rectangle is 88 meters, what is the width?
A. 24m
B. 16m
C. 32m
D. 8m
The width of the rectangle is determined as: B. 16 m.
How to Determine the Measurement of a Rectangle?The perimeter of a rectangle = 2(l + w)
l = length of the rectanglew = width of the rectangleGiven the parameters:
Perimeter of rectangle = 88 meters
Width of the rectangle = w meters
Length = 2w - 4 meters
Plug in the values into the perimeter formula of a rectangle
2(2w - 4 + w) = 88
2(3w - 4) = 88
6w - 8 = 88
6w = 88 + 8
6w = 96
6w/6 = 96/6
w = 16
Thus, the width of the rectangle is determined as: B. 16 m.
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Write the equation using y=mx+b
We cannot write vertical lines in the format y = mx+b
This is because the slope of any vertical line is undefined.
The equation of this red line is x = 5. All points on this line have the same x coordinate of 5. Two such points being (5,0) and (5,1)
Which of the expressions shown evaluate to negative rational numbers? Select all that apply. Multiple select question. cross out A) ( − 9 ) 4 cross out B) ( − 4 5 ) 3 cross out C) ( − 3 8 ) 2 cross out D) 3 5 − 10 4 cross out E) ( 9 . 8 ) 2 − 10 2
The negative rational numbers are -9/ 4, -20/ 3 . Option A and B
What are rational numbers?A rational number can be defined as a number that is expressed as a fraction where both the numerator and the denominator are integers.
Examples of rational numbers are;
-1/ 2, 3/ 5, 9/ 2 -3/ 5
Given the expressions;
(-9)/ 4 = -9/4(-4 5) /3 = - 20/ 3(-3 8 ) /2 = -24/ 2 = -12(3 5) - 10/ 4 = 15 - 10/ 4 = 5/ 4(9. 8)2 - 10(2) = 72(2) - 20 = 144 - 20 = 124The rational numbers are -9/4 , -20/ 3 , 5/4
Thus, the negative rational numbers are -9/ 4, -20/ 3 . Option A and B
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Describe two methods for assessing whether or not a distribution is approximately normal.
The two most frequent normality tests for assessing a normal distribution are Shapiro-test Wilk's and Kolmogorov-Smirnov test.
What is a normal distribution?
A probability distribution that is symmetric around the mean is referred regarded as having a "normal distribution." In certain instances, it is also referred to as the "Gaussian distribution." This demonstrates that data that are near to the mean are more common than data that are far from the mean.
The two most popular normality tests are the Kolmogorov-Smirnov test and the Shapiro-test Wilk's test.
Shapiro-Wilk test: This test looks at how normal the sample data are. To do this, the sample is organized and standardized (standardizing is the conversion of data).Kolmogorov-Smirnov test: The Kolmogorov-Smirnov test is used to assess if a sample comes from a population with a specific distribution.Therefore, Shapiro-and Wilk's Kolmogorov-Smirnov tests are the two normality tests used the most frequently to evaluate a normal distribution.
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Johnathan worked 4 hours on Monday, 4 hours on Tuesday, 4 hours on Wednesday, 4 hours on Thursday, and 4 hours on Friday. He makes $12.125 an hour. What is his total pay?
Answer:
$242.50
Step-by-step explanation:
The total of number of hours = 20
Hourly pay = 12.125
20*12.125
Total pay= 242.50
The only measure of center that can be found for both quantitative and qualitative data is the.
The only measure of center that can be found for both quantitative and qualitative data is the mode.
What is the mode?The measure of mode can be calculated for both quantitative and qualitative data. When it is unique, the mode is the value that appears the most frequently in a data set, and it, like the median and mean, can be used as a measure of central tendency. However, there are times when there is no mode or when there are multiple modes. When all observed values appear the same number of times in a data set, there is no mode. To find the mode, arrange the numbers (this makes counting easier), then count how many of each number there are. A mode is a number that appears frequently.Therefore, the only measure of center that can be found for both quantitative and qualitative data is the mode.
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The sum of two numbers is 72. The difference of the two numbers is 40. What are the two numbers.
Let
x
be the larger number and
y
be the smaller number.
Write an equation that expresses the information in the sentence "The sum of two numbers is 72."
Step-by-step explanation:
x + y = 72
x - y = 40
x = y + 40
so, the first equation is then
y + 40 + y = 72
2y + 40 = 72
2y = 32
y = 16
x = y + 40 = 16 + 40 = 56
Write these fractions as powers of ten:
1/1000 7/100 000 1/10000000 3/60000
The fractions represented as power of ten are:
a. 1×(10)⁻³
b. 7× (10)⁻⁵
c. 1 × (10)⁻⁶
d. 5 × (10)⁻⁵
Given :
a. 1/1000
we know that 1/(10)³
when we take the reciprocal, the sign changes from positive to negative.
that is, 1×(10)⁻³
b. 7/100000
we know that 7/(10)⁵
likewise, we get
that is, 1×(10)⁻⁵
c. 1/10000000
we know that 1/(10)⁷
reciprocate it, we get
1×(10)⁻⁷
d. 3/60000
rearrange it.
3/6×10000
divide it.
1/2×10000
divide and multiply by 10.
10/2×10000×10
multiply it.
5/100000
5 × (10)⁻⁵
Hence we calculated the given fractions as powers of ten.
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Janet weights 20 pounds more than anna if the sum of their weights is 250 lb how much does each girl weigh
Anna's weight is 115 pounds and Janet's weight is 135 pounds.
What is weight?The weight of the object is the force acting on it due to gravity in science and engineering. Weight is defined as a vector quantity in some standard textbooks, as the force of gravity acting on the object. Others define weight as just a scalar quantity, the magnitude of gravity.To find the wight of Anna and Janet:
It is assumed:
Janet is 20 pounds heavier than Anna.This means that if Anna weighs x pounds,Janet's age is then (x+20) pounds.Also,
Their combined weight is 250 pounds.So,
x+x+20 = 2502x+20=250Subtraction of both sides by 20 yields:
2x = 250-202x = 230By dividing both sides by 2, we get:
x = 115So, Anna's weight is 115 pounds and Janet's weight is 115+20=135 pounds.
Therefore, Anna's weight is 115 pounds and Janet's weight is 135 pounds.
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25 points plus brainliest
Answer:
1/2
Hope this helps with your question :)
Help me please translations hw
The locations of the vertices are shown below:
(- 5, 4), (- 4, 4), (- 5, 2)(- 4, 1), (- 1, 2), (0, - 1), (- 2, - 5)(2, 5), (3, 4), (1, 2)(3, - 5), (- 2, - 3), (0, - 1)What are the coordinates of the images resulting from a translation?Herein we find four representations of polygons on Cartesian plane and we must determine the coordinates of the images generated by translation, a kind of rigid transformations. Translation is described by the following operation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorCase 1 (K(x, y) = (3, - 3), X(x, y) = (4, - 3), R(x, y) = (3, - 5), T(x, y) = (- 8, 7))
K'(x, y) = (3, - 3) + (- 8, 7) = (- 5, 4)
X'(x, y) = (4, - 3) + (- 8, 7) = (- 4, 4)
R'(x, y) = (3, - 5) + (- 8, 7) = (- 5, 2)
Case 2 (E(x, y) = (0, 2), X(x, y) = (3, 3), V(x, y) = (4, 0), Z(x, y) = (2, - 4), T(x, y) = (- 4, - 1))
E'(x, y) = (0, 2) + (- 4, - 1) = (- 4, 1)
X'(x, y) = (3, 3) + (- 4, - 1) = (- 1, 2)
V'(x, y) = (4, 0) + (- 4, - 1) = (0, - 1)
Z'(x, y) = (2, - 4) + (- 4, - 1) = (- 2, - 5)
Case 3 (G(x, y) = (- 4, 5), J(x, y) = (- 3, 4), U(x, y) = (- 5, 2), T(x, y) = (6, 0))
G'(x, y) = (- 4, 5) + (6, 0) = (2, 5)
J'(x, y) = (- 3, 4) + (6, 0) = (3, 4)
U'(x, y) = (- 5, 2) + (6, 0) = (1, 2)
Case 4 (V(x, y) = (0, 0), Y(x, y) = (- 5, 2), F(x, y) = (- 3, 4), T(x, y) = (3, - 5))
V'(x, y) = (0, 0) + (3, - 5) = (3, - 5)
Y'(x, y) = (- 5, 2) + (3, - 5) = (- 2, - 3)
F'(x, y) = (- 3, 4) + (3, - 5) = (0, - 1)
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Answer:
See attachments.
Step-by-step explanation:
A translation is a type of transformation that moves a figure left, right, up or down. Every point on the original figure is translated (moved) by the same distance in the same direction.
If a figure is to be moved left, subtract the number of units it is to be moved from the x-values.If a figure is to be moved right, add the number of units it is to be moved to the x-values.If a figure is to be moved up, add the number of units it is to be moved to the y-values.If a figure is to be moved down, subtract the number of units it is to be moved from the y-values.Question 1Coordinates of the given pre-image:
K = (3, -3)R = (3, -5)X = (4, -3)Given mapping rule:
[tex](x, y) \rightarrow (x-8, y+7)[/tex]
This tells us to subtract 8 from the x-values and add 7 to the y-values.
[tex]\sf \implies K(3,-3) \rightarrow K'(3-8, -3+7)=K'(-5,4)[/tex]
[tex]\sf \implies R(3,-5) \rightarrow R'(3-8, -5+7)=R'(-5,2)[/tex]
[tex]\sf \implies X(4,-3) \rightarrow X'(4-8, -3+7)=X'(-4,4)[/tex]
Question 2Coordinates of the given pre-image:
E = (0, 1)X = (3, 3)V = (4, 0)Z = (2, -4)Given mapping rule:
[tex](x, y) \rightarrow (x-4, y-1)[/tex]
This tells us to subtract 4 from the x-values and subtract 1 from the y-values.
[tex]\sf \implies E(0,1) \rightarrow E'(0-4, 1-1)=E'(-4,0)[/tex]
[tex]\sf \implies X(3,3) \rightarrow X'(3-4, 3-1)=X'(-1,2)[/tex]
[tex]\sf \implies V(4,0) \rightarrow V'(4-4, 0-1)=V'(0,-1)[/tex]
[tex]\sf \implies Z(2,-4) \rightarrow Z'(2-4, -4-1)=Z'(-2,-5)[/tex]
Question 3Coordinates of the given pre-image:
G = (-4, 5)J = (-3, 4)U = (-5, 2)Given mapping rule:
[tex](x, y) \rightarrow (x+6, y)[/tex]
This tells us to add 6 to the x-values and the y-values remain unchanged.
[tex]\sf \implies G(-4,5) \rightarrow G'(-4+6, 5)=G'(2,5)[/tex]
[tex]\sf \implies J(-3,4) \rightarrow J'(-3+6, 4)=J'(3,4)[/tex]
[tex]\sf \implies U(-5,2) \rightarrow U'(-5+6, 2)=U'(1,2)[/tex]
Question 4Coordinates of the given pre-image:
F = (-3, 4)V = (0, 0)Y = (-5, 2)Given mapping rule:
[tex](x, y) \rightarrow (x+3, y-5)[/tex]
This tells us to add 3 to the x-values and subtract 5 from the y-values.
[tex]\sf \implies F(-3,4) \rightarrow F'( -3+3, 4-5)=F'(0,-1)[/tex]
[tex]\sf \implies V(0,0) \rightarrow V'( 0+3, 0-5)=V'(3,-5)[/tex]
[tex]\sf \implies Y(-5,2) \rightarrow Y'( -5+3, 2-5)=Y'(-2,-3)[/tex]
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