Answer:
(0, 3)
[tex]x=0\\y=3[/tex]
Step-by-step explanation:
You can rewrite the first equation as [tex]y=3-x[/tex]. Then, you can substitute into the second equation as follows:
[tex]x-3(3-x)=-9\\x-9+3x=-9\\4x=0\\x=0\\[/tex]
Now, we can substitute this value into the first equation.
[tex]x+y=3\\0+y=3\\y=3[/tex]
Writing this in the form of [tex](x, y)[/tex] will yield [tex](0, 3)[/tex].
Remember when setting this out, align your equal signs and give good mathematical reasoning as shown above.
Hope this helps you!
The graph of g is a translation 2 units left and 3 units up, followed by a reflection
in the y-axis of the graph of f(x) = x² - 2x.
Graph of g is a translation where g(x) = (x+2)^2 - 2x – 1
f(x) = x^2 - 2x
g(x) = f(x+2) + 3
Translation is a movement of the graph either horizontally parallel to the x-axis or vertically parallel to the y-axis. A translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is an isometry.
Hence , g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1. When we graph the equations, we can confirm that our answer is correct.
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Whats 16.3 x 7.6, i need help asap. show ur work
Answer:
123.88
Step-by-step explanation:
This is a new version of the question. Make sure you
start new workings.
Percy is trying to find angle t.
He finds angle r first and then he finds
angle t from angle r.
a) Which angle fact does he use to find
angle r?
b) Which angle fact does he then use to
find angle t?
t
127
Not drawn accurately
Answer:
a) The fact that corresponding angles are equal
b) The fact that alternate angles are equal
Step-by-step explanation:
I hope this helps
a) Measure of corresponding angles are equal.
b) Pair of alternate interior angles are of equal measure.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
From the given figure the fact used to fund the measure of the angle r is
corresponding angles.
The fact that is used to find the angle t is in a parallelogram measure of opposite angles are equal.
Also, r and t are pairs of alternate interior angles so they measure the same.
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Solve for x.
-6 > 10-8r
Answer:
[tex]r > 2[/tex]
Step-by-step explanation:
1) Rearrange the terms
-6 > 10 - 8r
2) Calculate
8r > 10 + 6
3) Divide both sides
8r > 16
4) Simplify (Cross out the common factor)
[tex]r >[/tex] [tex]\frac{16}{8}[/tex]
5) r > 2
A city in the Pacific Northwest recorded its highest temperature at 77 degrees Fahrenheit and its lowest temperature at 24 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 10 classes.
A. 24-29
B. 24-30
C. 24-28
D. 19-29
The upper and the lower limits of the class that we have here would be A. 24-29
How to find the upper and the lower limits of the classWe have to find the range of the temperature
This is given as maximum - minimum
= 77 - 24
= 53
width = range / n
width = 53 / 10
= 5.3
The approximate width can be given as 5.
The upper class would be the lower class + width
= upper class = 24 + 5 = 29
Hence the limit of the classes would be given as
A. 24-29
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por favor alguien que me ayude
Mediante la ley del seno, la longitud del faro es aproximadamente igual a 8.295 metros.
¿Cómo determinar la longitud del faro mediante leyes trigonométricas?
En esta pregunta nos encontramos con una sistema geométrico con dos ángulos y un lado conocidos, la configuración permite determinar la altura del faro mediante la ley del seno, cuya expresión sería la siguiente:
AC / sin B = AB / sin C = BC / sin A
Donde BC es la longitud del faro, medida en metros, y AC es la distancia horizontal hasta la base del faro, medida en metros. Si sabemos que AC = 9.9 m, B = 53° and A = 42°, entonces la longitud del faro es:
(9.9 m) / sin 53° = BC / sin 42°
BC = 9.9 m × (sin 42° / sin 53°)
BC ≈ 8.295 m
La longitud del faro es aproximadamente igual a 8.295 metros.
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How many 5-pound bags of apples can be made from 400 apples, each weighing 1/4 pound?
Answer:
20 bags
Step-by-step explanation:
400/4 = 100, because it takes four apples to make a pound
100/5 because each bag holds 5 pounds,
20, bags filled with 5 pounds of apples
Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)
[tex]p(a \: \cup \: b) = p(a) + p(b) - p(a \: \cap \: b) \\ p(a \: \cup \: b) = 0.2 + 0.4 - p(a \: \cap \: b) \\ p(a \: \cup \: b) = 0.6 - p(a \: \cap \: b) \\[/tex]
[tex]but \: \: p(a \: \cap \: b) = p(a /b) \times p(b) \\ p(a \: \cap \: b) = 0.25 \times 0.4 = 0.1[/tex]
[tex]p(a \: \cup \: b) = 0.6 - p(a \: \cap \: b) \\ p(a \: \cup \: b) = 0.6 - 0.1 \\p(a \: \cup \: b) = 0.5[/tex]
do u like lil nas x if not why? explain in 2 paragraphs
Answer:
because he is human and human like to dance and eat
On a number line, B is between a and c. AB = 1/3ac
We may infer from the number line that A and B are separated by 8 units (AB).
Let AB stand for the separation between points A and B, and let AC stand for the separation between points A and C. Let B stand for the separation between points B and C. Hence:
Point B being halfway between A and C, we can infer:
AB + BC Equals AC (Postulated segment addition)
As a result, since the distance between points A and B is equal to 1/3 of AC:
AC/3 = AB = 1/3(AC)
But as shown in the accompanying image:
AC equals 16 – (–8) to 24 units.
Therefore:
AB = 1/24 = 8 unit
A and B are separated by 8 units.
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Complete question -On the number line, Point B is between points A and C. The distance between points A and B is 1/3 of AC. What is AB?
3 c − 8 d = 12 for c
Below are graphs of functions over the interval [-4,4]. Find the following for each function:
The Domain,
Zeroes of the function,
Intervals wher ethe function is positive and intervals where it is negative.
For the graphed function, the information is given as follows:
The domain is [-4,4].The function has no zeros.The function is positive for x ≤ 0.The function is negative for x > 0.What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. In a graph, it is the set that contains all the values of x of the function.
Hence, the domain is [-4,4] for the given function.
What are the zeros of a function?The zeros of a function are the values of x for which f(x) = 0, on the graph they are the values of x when the function crosses the x-axis.
For this problem, the function does not cross the x-axis, hence it has no zeros.
When a function is negative and when it is positive?Looking at the graph of the function, we have that:
It is positive if it is above the x-axis.It is negative if it is below the x-axis.Hence, for the function in this problem:
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Twenty less than four times an mover is twenty one what is the number
Answer:
10.25
Step-by-step explanation:
Define the variable
Let x be the unknown number.
Therefore:
[tex]\begin{aligned}& \textsf{Four times a number}: \quad & 4x\\& \textsf{Twenty less than four times a number}: \quad & 4x-20\\& \textsf{Twenty less than four times a number is twenty one}: \quad & 4x-20=21\end{aligned}[/tex]
To find the number, solve the found equation for x:
[tex]\begin{aligned}\implies 4x-20&=21\\4x-20+20&=21+20\\4x&=41\\\dfrac{4x}{4}&=\dfrac{41}{4}\\x&=10.25\end{aligned}[/tex]
Therefore, the unknown number is 10.25.
As an improper fraction, this is ⁴¹/₄.
As a mixed number, this is 10 ¹/₄.
Answer:
x = 10.25
Step-by-step explanation:
Given that,
→ Twenty less than four times a number is twenty one.
The equation we form,
→ 4x - 20 = 21
Now the value of x will be,
→ 4x - 20 = 21
→ 4x = 21 + 20
→ x = 41/4
→ [ x = 10.25 ]
Hence, the number is 10.25.
1. How much farther is the Earth from
Saturn than it is from Jupiter?
2. Suppose you traveled from Saturn to
Jupiter, and then from Jupiter to Mars.
What would be the total distance?
3. How much closer is Saturn to Jupiter
than it is to Earth?
4. Find the total distance from Mercury to
Earth,
5. Which is closer to Earth, Venus or
Mars? How much closer is it?
6. How much farther is the Earth from
Saturn than it is from Mars?
1) Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) The total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Total distance from Mercury to Earth is 56,700,000 miles.
5) Venus is 22,300,000 miles closer to Earth than Mars.
6) Earth is 745,000,000 miles farther from Mars than Saturn.
Given,
1) Distance from Earth to Saturn = 793,000,000 miles
Distance from Earth to Jupiter = 390,400,000 miles
793,000,000 - 390,400,000 = 403,400,000
That is, Earth is 403,400,000 miles farther from Saturn than it is from Jupiter.
2) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Jupiter to Mars = 342,000,000 miles
403,400,000 + 342,000,000 = 745,400,000
Therefore, the total distance from Saturn to Jupiter and from Jupiter to Mars is 745,400,000 miles.
3) Distance from Saturn to Jupiter = 403,400,000 miles
Distance from Saturn to Earth = 793,800,000 miles
793,800,000 - 403,400,000 = 390,400,000
So, Saturn is 390,000,000 miles closer to Jupiter than is is to Earth.
4) Distance from Mercury to Venus = 30,700,000 miles
Distance from Venus to Earth = 26,000,000 miles
30,700,000 + 26,000,000 = 56,700,000
That is, the total distance from Mercury to Earth is 56,700,000 miles.
5) Distance from Earth to Venus = 26,000,000 miles
Distance from Earth to Mars = 48,300,000 miles
48,300,000 - 26,000,000 = 22,300,000
That is, Venus is 22,300,000 miles closer to Earth than Mars.
6) Distance from Earth to Saturn = 793,800,000 miles
Distance from Earth to Mars = 48,300,000 miles
793,800,000 - 48,300,000 = 745,500,000
That is, Earth is 745,000,000 miles farther from Mars than Saturn.
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4. Grade points are assigned as follows: A = 4, B = 3, C=2, D = 1, and F = O. Grades are weighted
according to credit hours. If a student receives an A in a four-unit class, a D in a two-unit class, a B in a
three-unit class and a C in a three-unit class, what is the student's grade point average?
Answer:
2.75
Step-by-step explanation:
A in a 4-unit class will be 4 x 4 = 16 points
B in a 3-unit class will be 3 x 3 = 9
C in a 3-unit class will be 2 x 3 = 6
D in a 2-unit class will be 1 x 2 = 2
Total points = 16 + 9 + 6 + 2 = 33
Total credit hours = 4 + 3 + 3 + 2 = 12
GPA = 33/12 = 2.75
how much bacteria is in the petri dish after 150 minutes
Answer: bacteria 100 in a petri dish
Step-by-step explanation: every 30 min the bacteria doubles
14 POINTS + A BRAINLIEST PLS HELPP!!!
The equivalent expression of the given expression is 5n/4 -3/8
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given expression is :
(-2 ¹/₂n + ¹/₄) + (3 ³/₄n - 5/8)
simplifying the above expression by taking like considering like terms :
= -2 ¹/₂n + 3 ³/₄n + ¹/₄- 5/8
= (15/4)n - (5/2)n + (2-5)/8
= (15-10)n/4 -3/8
= 5n/4 -3/8
Therefore, the equivalent expression of the given expression is 5n/4 -3/8.
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$660 divided by 0.16
Answer:
660 ÷ 0.16 = 4,125
Hope this helps :)
The diameter of a basketball rim is 18 inches. What is the circumference of
the rim? Write your answer using T. Show your work.
Answer:
(18")T=56.52
Step-by-step explanation:
t=3.14
An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?
The measure of the supplementary angles are 34.3 and 145.7 degrees.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees.
In other words, two angles are Supplementary when they add up to 180 degrees.
Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.
Hence,
let
x = measure of the other angle
x + x + 111.4 = 180
2x + 111.4 = 180
subtract 111.4 from both sides
2x + 111.4 - 111.4 = 180 - 111.4
2x = 68.6
divide both sides by 2
x = 68.6 / 2
x = 34.3
Other angle = 34.3 + 111.4 = 145.7°
Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.
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LA Fitness charges $50 to be a member and $2 each
time you attend the gym. 24 Hour Fitness charges $4
each time you attend the gym and $30 to be a
member.
Using your answer from the lastquestion, you should
have got after 10 visits, the costs will be the same at
either gym.....
How much would each gym cost if you attended 10
times?
$80
$100
$90
$70
$60
Answer:
$70
Step-by-step explanation:
$50 to start do 2*10 to get 20 add those 50+20=70
Next, $30 to start do 4*10 to get 40 add those 30+40=70
They both come out o $70
write polynomial in simplest form with given zeros 2, 3 √(5),-3 √(5)
is it true or false?
Answer:
Step-by-step explanation:
False, because the inequality is not less than or equal to 14 it should a bracket instead of paratheses. [3, 14]
••••••••••••••help ••••••••••••••help
Answer:
c
Step-by-step explanation:
8 telephone calls per hour
Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $443 million in ticket sales. If Singer B took in $29 million less than Singer A, how much did each tour generate?
If Singer B took in $29 million less than Singer A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale.
How much does singer A takes in ticket sales?The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer would generate (x-29) million in tickets salessingers:
A's earnings=xsinger B's earnings=x-29total earnings=x+x-29total earnings=2x-29total earnings=443443=2x-29
443+29=2x
472=2x
x=472/2
x=236singer
B's earnings=236-29
singer B's earnings=207
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I really need help!
In the diagram below of triangle HIJ, K is the midpoint of HJ and L is the
midpoint of IJ. If KL = -8x +96, and HI= -8x + 120, what is the measure
of KL?
H
L
Answer: 24
Step-by-step explanation: HI = 2 times KL
-8x + 120 = 2(-8x + 96)
-8x + 120 = -16x + 192
8x = 72
x = 9
KL = -8x + 96
KL = -8(9) + 96
KL = 24
Need help with math problem
Solve 14x-7y= 21 for y
A. y = 2x - 21
B. y=-14x + 21
C. y = 14x +3
D. y=2x-3
Answer:D
Step-by-step explanation::
The perimeter of the classroom is 32 meters. what is the length of each side of the classroom? what is the area of the classroom?
Answer:
64
Step-by-step explanation:
because you use 8+8+8+8=32 so you multiply 8x8 to get 64
for perimeter you add all four side with the same number ad the four sides is 8
but for area you multiply the 2 side and the two sides is 8
Please answer the question in the picture, I will mark brainliest
Answer:
The 3rd one
Step-by-step explanation:
My mom is a teacher lol
