The solution to the literal equation is y = x - 2.
What is the solution to inequality?To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.
From the given information:
4x + 1 = 9 + 4y
To solve for y, we have to switch the sides:
9 + 4y = 4x + 1
Subtract 9 from both sides
9 - 9 + 4y = 4x + 1 - 9
4y = 4x - 8
Divide both sides by 4
[tex]\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}[/tex]
y = x - 2
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The objective of __________ research is to gather preliminary information that will help define the problem and suggest hypotheses.
The objective of Exploratory Research research is to gather preliminary information that will help define the problem and suggest hypotheses.
Exploratory Research is a methodology approach that explores research
question that have not previously been studied in depth.
The nature of experimental studies is generally frequently qualitative. However, an investigation with a big sample size might also be quantitative. Due to its open-mindedness and flexibility, it is additionally commonly referred to as interpretivism or a grounded theory method.
It is commonly employed when the subject you're examining is new, or perhaps the data collection method is challenging in certain way.
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A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 9 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
If a road was made directly from his home to his place of work, its distance will be 16.6 mi.
If a man drives east from his home, makes a left turn at an intersection, and then travels north to his place of work, then the path he travels resembles the sides of a right triangle (see attached photo).
if a road was made directly from his home to his place of work, then this path will be the hypotenuse of the triangular path.
Using Pythagorean theorem, we can solve for the distance of the road.
c^2 = a^2 + b^2
where c is the distance of the road
a is the distance he travels to the east
b is the distance he travels up north
c^2 = a^2 + b^2
c^2 = (14 mi)^2 + (9 mi)^2
c^2 = (196 + 81) mi^2
c^2 = 277 mi^2
c = 16.64331698 mi
distance of the road = c = 16.64331698 mi
Rounding off to the nearest tenth of a mile:
distance of the road = 16.6 mi
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can u help me find the GCF of monomials/ with solution
1). 14, 42
2) 16a, 20
3) 22d,33e,99f
4)21b, 14ab, 49bc
14, 4, 11, 7
1. 14, 42
14 = 2 x 7
42 = 2 x 3 x 7
GCF = 14
2. 16a , 20
16a= 2 x 2x2x2xa
20 = 2 x 2 x 5
GCF = 4
3) 22d,33e,99f
22d = 2 x 11x d
33e = 3 x 11 x e
99f = 3 x3 x 11 xf
GCF = 11
4)21b, 14ab, 49bc
21b= 3 x 7 xb
14ab = 2 x 7 x a x b
49bc = 7 x7xb x c
GCF = 7
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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
A: sf 2 or 1/2
Step-by-step explanation:
Answer:
Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4
Part B:
P''(-1, 0)
Q''(0, -1)
R''(2, -1)
Part C:
The two Triangles PQR and P''Q''R'' are not congruent.
Step-by-step explanation:
176.912 round off to the closest integer.
help asap!!
Answer:
177
Step-by-step explanation:
In order to round 176.912 to the nearest integer firstly look at the first digit after the decimal point also known as the tenth digit.If the digit in the tenth place is >=5 we will round up and if it is < 5 we will round down keeping the ones place the same and truncating the decimal points.Since the tenth digit 9 is >= 5 we will round up i.e. ( ones place digit + 1 ) and the remaining all digits next to the decimal point are removed.Therefore, the number 176.912 rounded to the nearest integer value is 177 .All Done! Please mark as Brainliest :)
Answer:
177
Step-by-step explanation:
The tenth is 9 which means you round up so the correct answer is 177.
Hope It Helps Sorry If I'm Wrong
121= 4(5-3x) +5
121=20-12x+5
The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.
What exactly do we mean by equations?A mathematical equation is a statement that connects two expressions with equal values by using the symbol 'equal to.'For example, 3x + 5 = 15.Linear, quadratic, cubic, and other types of equations exist.So, 121 = 4(5-3x) + 5:
121 = 4(5-3x) + 5121 = 20 -12x + 5121 = 25 - 12x-12x = 96x = -96/12x = -8Therefore, the value of 'x' is -8 in the given equation.
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how do i solve this equation
Answer:
[tex]\frac{9b}{a^{2} }[/tex]
Step-by-step explanation:
[tex]\frac{a^{2} }{b}(\frac{3b}{a^{2} })^{2}[/tex]
[tex]\frac{9a^{2}b^{2} }{a^{4}b }[/tex]
[tex]\frac{9b}{a^{2} }[/tex]
When applying PEMDAS, always work from left to right. True or False?
Answer:
False
Step-by-step explanation:
Sometimes, multiplication can occur after addition. For example, in 3+4*7, you don't add 3 and 4 first. You multiply 4 and 7 first since that's following the PEMDAS rule. After multiplying 4 and 7, then you add 3 to get a total of 31. ==> 3+4*7=3+28=31.
Trinity Rubidoux
Angle Terminology with Equations
Sep 19, 3:36:40 PM
?
ZA and ZB are vertical angles. If mA = (5x +24)° and m/B= (6x - 5)°,
then find the measure of ZB.
The measure of ∠B = 189°
Here it is given that
∠A = (5x + 24)° and ∠B = (6x - 5)°
∠A and ∠B are vertical angles
Since vertical angles are always equal so
∠A = ∠B
5x + 24 = 6x - 5
add +5 on both sides, we get
5x + 24 + 5 = 6x - 5 + 5
5x + 29 = 6x
add -5x on both side, we get
5x - 5x + 29 = 6x - 5x
x = 29
Now put the value of x in 6x - 5
6 × 29 - 5 = 189
The measure of ∠B = 189°
What is vertical angle theorem?According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.
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Please Help me ASAP 100 points for correct answer
Answer:
C
Step-by-step explanation:
PLEASE HELP!!
30 POINTS + BRAINLIEST!
GEOMETRY A
17. AMUSEMENT PARK The graph shows the
relationship between the number of Fun
Pass tickets sold and the total value of the
sales. Use the graph to estimate the x- and
y-intercepts of the function, where the
function is positive and negative, and
interpret the meanings in the context of the
situation. (Lesson 2-3)
Fun Pass Sales
(hundreds of $)
Value of Sales
25
20
15
10
O
20 40 60 80 100
Number Sold
The x- and y-intercepts of the function both are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.
What is a graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The relationship between the quantity of Fun Pass tickets sold and the amount of the overall sales are represented on the given graph.
Positive and negative functions are performed here, and the meanings are interpreted in the context of the situation.
Therefore, the x- and y-intercepts of the function are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.
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100 Points Please Help Quick
Which function has a constant additive rate of change of –1/4?
A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).
A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1).
A two-column table with five rows. The first column, x, has the entries, 20, 21, 22, and 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, and negative 2.5.
A two-column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, and negative 9. The second column, y, has the entries, 7, 11, 14, and 17.
Answer:
(A) is correct.
Step-by-step explanation:
As we know,
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the first graph:
The line goes through the points:
(-2, 2) and (2, 1)
y - 1 = (1-2)/(2+2)[x -2]
y - 1 = (-1/4)[x -2]
y = -x/4 + 1/2 + 1
y = -x/4 + 3/2
The constant additive rate of change = -1/4
Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.
Initial estimates of the probabilities of events are known as _____ probabilities.
Initial estimates of the probabilities of events are known as Prior Probabilities.
Prior Probabilities can be defined as the probability of the event before the event takes place.
For Example ,Let there be three wells X,Y,Z with water in it . it is given that one of the wells have the water that is fit for drinking. So the prior probability that Well Z can have drinking water is 1/3 i.e. 0.333 .
Therefore , the Initial estimates of the probabilities of events are known as Prior Probabilities.
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slope -1/2, passes through (0, 5)
Our standard linear slope equation is:
mx + b = y
We're told our slope is 1/2, so that's our m value.
When x = 0 our value is 5. If you need this visualized, then:
1/2 * 0 +b = 5
0 + b = 5
b = 5
So our equation looks like:
x/2 + 5 = y
i need help on 9,10,11 please
9) The True Distance is 209 ft
10) The True Distance is; 66.5 ft
11) The True Height is; 57 ft
How to Interpret the Scale of a Map?We are given that the scale of the map is 1 in : 38 ft
This means that 1 inch represents 38 ft
9) Now, we want to find the true distance of 5.5 inches from the map. Thus;
True distance = (5.5 * 38)/1
True Distance = 209 ft
10) Now, we want to find the true distance of 1.75 inches from the map. Thus;
True distance = (1.75 * 38)/1
True Distance = 66.5 ft
11) We are given the scale is 1 in : 85 ft.
Thus, the true height of 1.5 inches is;
True height = (1.5 * 38)/1
True Height = 57 ft
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What is 8.7x3.9 in a step by step
What is your monthly take home pay if your take home pay is $897.84 every monday
8^x=2 find the value of x
Your answer is x=1/3
Good luck with your test!~ ^^
5 x=10
if u have 5 apple and 10 cakes how many do u come up with
Answer:
x = 2
Step-by-step explanation:
Equation: 5x = 10
--- Divide 5 on both sides
x = 2
This means that each apple can make 2 cakes.
Answer: 2
Step-by-step explanation: because if u divide both sides by 5
How many gallons are in a 2 liter bottle of soda?
Answer:
1/2 gallon.
Step-by-step explanation:
1 liter = 1/4 gallon
Basing the measurement off of this info, we can determine that 2 liters is equal to a half-gallon because it is 2 quarters, which simplifies to one-half.
How many square feet are there in a rectangular-shaped building that is 34 feet wide and 72 feet long?
The area of the rectangular-shaped building is 2448 square feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular-shaped building that is 34 feet wide and 72 feet long. The area of the rectangle will be calculated as below:-
Area of rectangle = Length x width
Area of rectangle = 34 x 72
Area of rectangle = 2448 square feet
Therefore, the area of the rectangular-shaped building is 2448 square feet.
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Angie and Kenny play online video games. Angie buys 1 software package and 4 months of gameplay. Kenny buys 1 software package and 1 month of game play. Each software package cost $35. If their total cost is $150, what is the total cost of one month of gameplay?
Answer:
let m = the cost of 1 month game play(20 + 3m) + (20 + 2m) = 115by solving we findm = $15
Step-by-step explanation:
In a shipment of 62 vials, only 14 do not have hairline cracks. if you randomly select 3 vials from the shipment, what is the probability that all 3 of the selected vials have hairline cracks?
The probability that all three of the selected vials have hairline cracks = 0.096
Total number of vials in the shipment = 62
Number of vials with hairline cracks = 14
Number of vials without hairline cracks = 48
Three from 62 vials are selected.
So total outcomes = 62C3
Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes
Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096
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The number of digits in the square root of 3686400 is ---------
[one word Q]
Answer:
4
Step-by-step explanation:
[tex]\sqrt{x} 368640 = 1920[/tex]
The number of digits in 1920 is 4
The number of digits in the square root of 3686400 is 4.
What is square root?In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.
The square root of 3686400 is,
√3686400 = ±1920
The number of digits in 1920 is 4.
Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.
Thus, the number of digits in the square root of 3686400 is 4.
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Three times the greater of two consecutive even integers is 26 less than four times the lesser.
Find the integers.
Answer:
-20, -18
Step-by-step explanation:
let x = the smaller number
Let x + 2 = the larger number
3(x +2) -26 = 4x
3x + 6 -26 = 4x
3x -20 = 4x Subtract 3x from both sides of the equation
-20 = x
x + 2
-20 + 2 = -18
Check:
3(-20 + 2) -26= 4(-20)
3(-18) - 26 = -80
-54 -26 = -80
-80 = -80
Pls help asap!! due in a hour:( thanks in advance
Answer: 8oz of the 20% and 12oz of the 70%
Step-by-step explanation:
(20*x) + (70*(20-x)) / 20 = 50
(20x +1400-70x) / 20 =50
20x +1400-70x = 1000
50x=400
x=8
20-8=12
Does the figure below appear to have line symmetry if so how many lines of symmetry
Answer:
2
Step-by-step explanation:
You can only cut it into 2 exact equal parts <3
Answer:
It has none.
Step-by-step explanation:
If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.
whats 4x5x6x32x4x4x4x4
Answer:
983,040
Step-by-step explanation:
4×5=20
6×32=192
4×4=16
4×4=16
20×192×16×16
=983,040
Square the binomial: (8y-5)^2
Answer:64y^2 −80y+25
Step-by-step explanation: