Answer:
x=1y=1Step-by-step explanation:
This looks like it is intended to represent two equations. They can be solved as a system in any of the usual ways.
The two equations seem to be ...
4x -y = 3x -4y = -3ySolutionAdding 4y to the second equation gives ...
x -4y +4y = -3y +4y
x = y . . . . . . . . simplify
Substituting for y in the first equation gives ...
4x -x = 3
3x = 3 . . . . simplify
x = 1 . . . . . divide by 3
y = 1 . . . . . same as x
The variables x and y both have a value of 1.
__
The attachment shows a graphical solution to these equations.
….. solve for X………….
Answer:
x=5
Step-by-step explanation:
these two angles are the same so set both equations equal to each other and solve for x.
[tex]23x-5=21x+5\\23x=21x+10\\2x=10\\x=5[/tex]
1. set equations equal to each other
2. add 5 to both sides
3. subtract 21x from both sides
4. divide both sides by 2 to get x alone
5. x=5
Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2).
The equation of this circle is (x + )2 + (y + )2 =
Answer:
[tex](x-5)^2+(y+4)^2=100[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusGiven:
center = (5, -4)point on circle = (-3, 2)Substitute the given values into the circle equation and solve for r:
[tex]\implies r^2=(-3-5)^2+(2-(-4))^2[/tex]
[tex]\implies r^2=(-8)^2+(6)^2[/tex]
[tex]\implies r^2=64+36[/tex]
[tex]\implies r^2=100[/tex]
[tex]\implies r=\sqrt{100}[/tex]
[tex]\implies r=10[/tex]
Substitute the given center and the found value of r into the circle equation to create the equation of the circle:
[tex]\implies (x-5)^2+(y-(-4))^2=10^2[/tex]
[tex]\implies (x-5)^2+(y+4)^2=100[/tex]
I did 14a already. How do I do 14b?
y = 0.167x - 0.467
T probability of rolling doubles after 45 tosses is 0.156
How to determine the regression equation?To do this, we enter the data values in a graphing calculator.
From graphing calculator, we have the following summary:
Sum of X = 550Sum of Y = 87Mean X = 55Mean Y = 8.7Sum of squares (SSX) = 8250Sum of products (SP) = 1375The regression equation is
y = bx + a
Where
b = SP/SSX = 1375/8250 = 0.16667
a = MY - bMX = 8.7 - (0.17*55) = -0.46667
So, we have:
y = 0.16667x - 0.46667
Approximate
y = 0.167x - 0.467
When the number of tosses is 45, we have:
y = 0.167 * 45 - 0.467
Evaluate
y = 7.048
Approximate
y = 7
45 tosses gives 7 doubles.
So, the probability is:
P = 7/45
Evaluate
P = 0.156
Hence, the probability of rolling doubles after 45 tosses is 0.156
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Think of 5 positive integers that have a mode of 2 and 5, a median of 5 and a mean of 5.
Answer:
S = {2, 2, 5, 5, 11}
Step-by-step explanation:
So you can partially build a data set given this information. There is going to be 5 positive numbers and the median is going to be 5 so the data set is going to have 5 in the middle which should look like this
S = {a, b, 5, c, d} where a, b, c, d are the other values. Since it has a mode of 2 and 5 that means that the occurrences of 2 and 5 will be equal, otherwise it would only have 1 mode. and they have to appear at least twice since if they only appeared once, there would either be another mode, or the data set would have 5 modes.
So the data set is going to look like this
S = {2, 2, 5, 5, d}
Now the only thing left to do is calculate d. This is where you use the mean to determine the last value. The mean can be calculated as
(the sum of the data set) / (the amount of values in the data set)
Since we know the mean you can set up an equation to find the value of d
[tex]5 = \frac{2+2+5+5+d}{5}\\5=\frac{14+d}{5}\\25=14+d\\11=d[/tex]
so the last value is 11. This gives you the complete data set of 5 positive integers
S = {2, 2, 5, 5, 11}
9
Which system of Inequalities is represented by the graph?
The inequality equation of the lines are given as x + 2y ≤ 5 and 3x + y ≤ 4. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The graph is given below.
From the graph, equation of the lines are given as
x + 2y = 5 and 3x + y = 4
But for the inequality is shown in the graph. Then the inequality equation of the lines are given as
x + 2y ≤ 5 and 3x + y ≤ 4
Then the correct option is C.
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b) If a shopkeeper allows 20% discount and sells an article for Rs 200, find the marked price of the article.
Answer:
250
Step-by-step explanation:
mp=sp+d%of mp
x = 200+20÷100×x
100x-20x = 20000
x= 250
Write an equation (a) in standard form and (b) in slope-intercept form for the line described.
through (8,10), parallel to y = -7
Parallel lines admit equal slopes.
Evaluate the following expressions by substituting s = 5 and t = 4.
4t2 - 2t - s
1. 50
2. 51
3. 52
4. 53
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{4t^2 - 2t - s}[/tex]
[tex]\huge\textbf{Solving:}[/tex]
[tex]\mathbf{4t^2 - 2t - s}[/tex]
[tex]\mathbf{= 4(4)^2 - 2(4) - 5}[/tex]
[tex]\mathbf{= 4(4\times 4) - 2(4) - 5}[/tex]
[tex]\mathbf{= 4(16) - 2(4) - 5}[/tex]
[tex]\mathbf{= 64 - 2(4) - 5}[/tex]
[tex]\mathbf{= 64 - 8 - 5}[/tex]
[tex]\mathbf{= 56 - 5}[/tex]
[tex]\mathbf{= 51}[/tex]
[tex]\huge\textbf{Answer:}[/tex]
[tex]\huge\boxed{\textsf{Option B. 51}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]W
X
(6x-60)°
3x + 5
(2x+68)°
Z
A. WY = 72, m4Z = 132°
B. WY= 101, m4Z = 72°
C. WY = 101, m4Z = 132°
D. WY= 132, m4Z = 101°
Y
Find the length of Wy and the measure of ZZ.
Answer:
x = 32
Step-by-step explanation:
Angle <X and angle <Z is has same measure because they are congruent angles so we can write the following equation:
6x - 60 = 2x + 68 transfer like terms to the same side of the equation
6x - 2x = 68 + 60 subtract/add
4x = 128 divide both sides by 4
x = 32
To find the measure of angle <Z and length of WY replace x with the value we found
WY = 3*32 + 5
WY = 101
m<Z = 2*32 + 68
m<Z = 132
Question 3(Multiple Choice Worth 1 points) (08.03 LC) A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 26 to 38 on the number line. A line in the box is at 31. The whiskers end at 20 and 43. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 31; Q1 = 26 Median = 30; Q1 = 26 Median = 31; Q1 = 20 Median = 30; Q1 = 20
The median in the box plot is: 31
Q1 (lower quartile) = 26
What is the Median and Q1 of a a Data in a Box Plot?The median is the value at the vertical line that divides the box.
The Q1 (lower quartile) is the value at the beginning of the edge of the box.
Thus, from the given box plot, we have the following:
Median = 31
Q1 (lower quartile) = 26
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3. The number which when substituted in a polynomial makes its value zero.
The number which when substituted in a polynomial makes its value zero is called the zero of the polynomial.
What is zero of a polynomial?The zero of a polynomial can be defined as the points where the polynomial becomes zero as a whole.
In other words, The zeros of a polynomial p(x) are the values of x which satisfy the equation p(x) = 0
For example, the zero of the polynomial f(x) = x³- 12x²+ 20x is x = 0 or x = 10 or x = 2.
This is because f(x) = o when we substitute those x values.
Therefore, the number which when substituted in a polynomial makes its value zero is called the zero of the polynomial.
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-8
-4
8
-4
y
-8
y = -x + 5
4
80
x
What is the solution of the system of equations?
The solution of the equation is 5477x + 12y = -56
How to determine the solutionGiven the equation;
-8 -48-4y-8y = -x + 5480x
First, we collect like terms
-56 - 12y = 5477x
Collect the numbers with variables together
-56 = 5477x + 12y
Thus, the solution of the equation is 5477x + 12y = -56
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m and n are both prime numbers. Find the values of m and n so that 2704× m/n is a perfect cube.
Since 2704 = 2⁴ × 13², we need [tex]m = 13[/tex] and [tex]n=2[/tex], since this gives
[tex]\dfrac{2704m}n = \dfrac{2^4 \times 13^2 \times 13}2 = 2^3 \times 13^3 = 26^3[/tex]
The values of m and n that make 2704 × m/n a perfect cube are:
m = 13 and n = 2.
We have,
We can start by factoring 2704, which is 52².
So we have:
= 2704 × m/n
= 52² × m/n
= (2² × 13²) × m/n
For the expression to be a perfect cube, we need all the prime factors to appear in groups of three.
Since 2 and 13 appear only once each, we need to find another factor that appears twice.
Since m and n are both prime, and the fraction m/n is simplified, there are only two possible values for m and n:
m = 2 and n = 13, or
m = 13 and n = 2
Let's try the first case:
2704 × m/n = 2704 × 2/13 = 416
416 is not a perfect cube, so this case does not work.
Now let's try the second case:
2704 × m/n = 2704 × 13/2 = 17696
17696 is 28³, which is a perfect cube.
Therefore,
The values of m and n that make 2704 × m/n a perfect cube are:
m = 13 and n = 2.
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Calculate the value of x.
Answer:
x = 17deg
Step-by-step explanation:
Let angle y be the unknown angle IN THE TRIANGLE.
Angle y = 180 - 90 - 73
= 17deg
Angle x = Angle y (Alternate angles on 2 parallel lines)
Angle x = 17 deg
Answer:
17° is the answer.
What is the expression of g(x) when we perform the following sequence of transformations onto the parent function fx=|x|:
a) compress horizontally by a factor of 2
b) shift right 1 unit
c) shift up 3 units
The expression of function g(x) is [tex]|\frac {x - 1}2| + 3[/tex]
How to determine the expression?The function is given as:
[tex]f(x) = |x|[/tex]
When the function is compressed horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
[tex]f(x) = |\frac x2|[/tex]
When the function is shifted left by 1 unit, the rule is:
f"(x) = f(x + 1)
So, we have:
[tex]f'(x) = |\frac {x - 1}2|[/tex]
When the function is shifted up by 3 units, the rule is:
g(x) = f"(x) + 3
So, we have:
[tex]g(x) = |\frac {x - 1}2| + 3[/tex]
Hence, the expression of function g(x) is [tex]|\frac {x - 1}2| + 3[/tex]
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Find x. Round your answer to the nearest integer.
Answer:
B. 20
Step-by-step explanation:
Cos a = b/c
Cos 53° = b/25
b = 25 × 0,6 = 15
x = √(25² - 15²)
x = √(625 - 225)
x = √400
x = 20
Solve this system algebraically. 7x - 2y = 4 5y + 3x = 10 {(-41/40, -41/58)} {(41/40, 41/58)} {(-40/41, -58/41)} {(40/41, 58/41
Answer: 4
Step-by-step explanation:
please write a paragrah all the instructions are here 50 points I hv 1352 points I can give more points all if i need to
geometry please help
Based on the information given, the bisected angle, quadrilateral, and congruent angles will be explained.
How to illustrate the information?It should be noted that a quadrilateral simply means a closed shape that has four sides and four angles. These include square, rectangle, parallelogram, etc.
A bisected angle simply illustrates a line that splits an angle onto two equal angles.
Congruent segments are the segments that have the same length.
The diagrams are attached accordingly.
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In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-port
shots. In he second half, he player scored the same number of 3-point shots as the number of 2 point slots scored n
the first half. Which expression represents the total number of points the player scored in the game?
O 2r + 3r + 9
© 2r + 3 + 9
O 2r + 3r + 9x
© 2 + 3r + 9
Save
Answer: I thin The first one 2r+3r+9
Step-by-step explanation: Because he scored a number of 2 port shots which means he scored more than one but the 9 points is just 9 points from free throws which gives only 1 point each and 3 port shots and much as 2 point shots so 3r also
2r+3r+ just 9
What percentage of temperatures are below 55°?
A.
25%
B.
50%
C.
75%
D.
20%
Answer:
50 %
Step-by-step explanation:
i think this is the answer
helppp pleaseee quick points
The required algebraic expression is Y = 3X + 2
This table describe the relation between x and y
x = 2 3 4 5
y = 8 11 14 17
What is algebraic expression?Alegebraic expression consists of constant and variable. eg x, y, z etc.
As the data given in the table, we conclude that:
1) The difference in the values of y is 3.
2) When we multiply this difference by x and add 2 it gives the next value of y.
so the from above discussion Y = 3X + 2
Thus, The required algebraic expression is Y = 3X + 2
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Solve the equqtion of a circle (-3,4) and radius 4 units
Step-by-step explanation:
The equation of a circle is usually in the form: [tex](x-h)^2+(y-k)^2=r^2[/tex] where (h, k) is the center and r is the radius. With the information you provided you would have the equation: [tex](x+3)^2+(y-4)^2=16[/tex]. I'm a bit confused by "solve the equation of a circle" do you mean solve for y? if so you would just do
Original Equation:
[tex](x+3)^2+(y-4)^2=16[/tex]
Subtract (x+3)^2 from both sides
[tex](y-4)^2=-(x+3)^2+16[/tex]
Take the square root of both sides
[tex]y-4 = \pm\sqrt{-(x+3)^2+16}[/tex]
add 4 to both sides
[tex]y=\pm(\sqrt{-(x+3)^2+16})+4[/tex]
and then just change the sign to negative or positive depending on what half of the circle you want
Let's take this problem step-by-step:
I will assume that you want the standard form of the equation of the circle:
⇒ standard form: [tex](x-h)^2 +(y-k)^2=r^2[/tex]
(h,k) --> coordinate of circle's center --> (-3,4)r --> length of radius --> 4LEt's plug in the known values
[tex](x-(-3))^2+(y-4)^2 = 4^2\\(x+3)^2+(y-4)^2=16[/tex]
Answer: (x+3)² + (y-4)² = 16
Hope that helps!
#LearnwithBrainly!
Drag each label to the correct location on the equation. Each label can be used more than once, but not all labels will be used. A company has two packaging machines in a unit, each with a different daily capacity. The capacity of machine 1 is defined by the function f(m) = (m + 4)2 + 100, and the capacity of machine 2 is defined by the function g(m) = (m + 12)2 − 50, where m is the number of minutes the packaging machine operates. Create the function C(m) that represents the combined capacity of the two machines
The combined capacity is given by (f+g) m = 2m² +32 m +210
What is an Equation ?An equation is defined as a mathematical statement used to relate a dependent and an independent variable.
The equation that gives the capacity of machine 1 is
f(m) = (m+4)² +100
and
The equation that gives the capacity of machine 2 is
g(m) = (m + 12)² -50
The total capacity of both the machine is given by
f(m) + g(m) = (m+4)² +100 +(m + 12)² -50
(f+g) m = 2m² +32 m +210
Therefore the combined capacity is given by (f+g) m = 2m² +32 m +210
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Which situation can be represented by the equation x + 6 = 13?
A. Two friends played 13 games of chess. One friend won 6 games.
What is x, the number of games the other friend won?
B. Ryder has 13 herb plants and 6 tomato plants in his garden. What
is x, the total number of plants in Ryder's garden?
C. Dorina ran 6 laps around the track at practice on Tuesday. On
Thursday, she ran 13 laps. What is x, the total number of laps that
Dorina ran?
D. Zoltan spent $13 on a shirt and $6 on sunglasses. What is x, the
total amount that he spent?
SUBMIT
Step-by-step explanation:
A. ______________________$
3 positive integers have a mean of 5 and range of 10, what are the integers
The three positive integer that has mean of 5 and range of 10 will be 0, 5, 10.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Let the three positive number be (a – d), (a), and (a + d).
Then the mean of the number will be 5. Then we have
5 = (a – d + a + a + d) / 3
5 = (3a) / 3
a = 5
Then the range will be 10. Then we have
(a + d) – (a – d) = 10
a + d – a + d = 10
2d = 10
d = 5
Then the three positive integer that has mean of 5 and range of 10 will be 0, 5, 10.
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A force of 70 newtons acts on an area of 20cm^2 the force is increased by 10 newtons. The area is increased by 10cm^2
Pls help lol
Helen is incorrect, the pressure decreases by greater than 20% and percent decrease is 23.80%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Pressure before the change:
Area = 20 square cm = 0.002 square meters
P = 70/0.002 = 35000 N/m²
The force is increased by 10 newtons. The area is increased by 10cm²
New pressure = (70+10)/(0.003) = 26,666.667 N/m²
Percent decrease = [(35000 - 26,666.667)/35000]×100
= 23.80% (pressure decrease by 23.80%)
Thus, Helen is incorrect, the pressure decreases by greater than 20% and percent decrease is 23.80%.
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-5 4 3 2 -1
5
4
32
42
-3
-4
-5
2 3
4
5
Use the graph and table to write the equation that
describes the line graphed.
X
-2
-1
0
1
2
The equation of the line is
y
1
2
3
4
5
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:y = x + 3 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Calculate slope (m) using two points -
[tex]\qquad \tt \rightarrow \:m = \dfrac{rise}{run} [/tex]
[tex]\qquad \tt \rightarrow \:m = \dfrac{4 - 3}{1 - 0} [/tex]
[tex]\qquad \tt \rightarrow \:m = {1}[/tex]
Y - intercept (c) = 3
[tex] \large\textsf{Equation of line : } [/tex]
[tex]\qquad \tt \rightarrow \:y = mx + c[/tex]
[tex]\qquad \tt \rightarrow \:y = 1(x) + 3[/tex]
[tex]\qquad \tt \rightarrow \:y = x + 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
look at the image.......
Answer:
A. The sloped graph doesn't represent the verbal description because the slope is 1 hot dog per 4 min
Step-by-step explanation:
B. Option b is valid response of the verbal description because the statements say Katie starts with 3 bonus hotdogs and then eats 4 hotdogs/min. This is the slope-int of the verbal description.
C. &D. When you substitute the table values of x into the slope-int equation, you should get the y-values listed in the table
Hope it helps!
Taylor, a seventh grader at Juno Middle School, loves whales. She believes it is her duty to understand all laws that apply to the whaling industry and how this will affect the whales. She spends much time researching how officials are or aren't enforcing those laws. Taylor reports her findings to friends and family who can vote.
The attitude of Taylor in the given scenario can be classified as a; Watchdog
Who is classified as a watchdog?
From the given narration about Taylor, we can see that she understood the laws applying to whales and knew what the whaling industry would be doing wrong, when they do so.
Now, considering the fact that Taylor is not old enough to make a difference, politically, she has to tell others and keep an eye out. Thus, with this attitude, we can classify her to be a watchdog
The complete question is;
Taylor, a seventh grader at Juno Middle School, loves whales. She believes it is her duty to understand all laws that apply to the whaling industry and how this will affect the whales. She spends much time researching how officials are or aren't enforcing those laws. Taylor reports her findings to friends and family who can vote.
Taylor would be considered a;
A) watchdog
B) legal representative
C) leader of an interest group
D) member of the media
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the image of p(m,5-n) when reflected on line y=0 is p'(2m-3,2n-8) find the values of m and n
Answer: m=n=3
Step-by-step explanation:
Reflecting across the y=0, in other words, the x-axis, means
[tex](x,y) \longrightarrow (x,-y)[/tex]
So, [tex]p(m,5-n) \longrightarrow p'(m,n-5)=p'(2m-3, 2n-8)[/tex]
This gives us the system
[tex]m=2m-3 \longrightarrow \boxed{m=3}\\\\n-5=2n-8 \longrightarrow \boxed{n=3}[/tex]