Hello There!
Slope: 1
Equation: y = x - 2
Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.
y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1
This means we have a slope value of 1.
Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)
To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.
we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.
1 = 1(3) + b
Now, simplify.
1 = 1(3) + b
1 = 3 + b
-2 = b
So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.
I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !
Answer:
y = x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1+2}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2
y = x - 2 ← equation of line
From 11:50 a.m. to 12:40 p.m. is
If you’re wondering the minutes in between it would be 50 minutes from 11:50am to 12:40pm
b+0.17b=1.17b can you please help me on this equation i dont know how to solve it thanks so much❤
Answer:
Both sides are equal, true for all 'b'
Step-by-step explanation:
Add similar elements: b + 0.17b = 1.17b
1.17b = 1.17b
Multiply both sides by 100
1.17b * 100 = 1.17b * 100
Refine
117b = 177b
Subtract 117b from both sides
117b - 117b = 117b - 117b
Refine
0 = 0
Both sides are equal, true for all 'b'
- Mordancy
What’s the right answer ?
Answer:
c
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
equals =1.25256565
The right answer is about c
Look at the attendance figures shown in the table below.
A seat is selected at random for the Fan Camera, which shows crowd reactions during the event.
What is the probability that the Fan Camera will show someone the age of 12 or older, but less than 21, during the Volley Ball game?
Give your answer as a decimal.
What is the probability that the Fan Camera will not select someone less than 12 years of age during a Rugby 7s match?
Give your answer as a percentage.
%
Answer:
A. Volley Ball game: 0.20
B. Rugby 7s game: 90%
Step-by-step explanation:
A. Volley Ball game: 12 ≤ x < 21
To calculate the probability, the first step is to evaluate the number of people meeting the requirement and then the number of the total population.
In this case, let's first sum up the total population, meaning the total audience at the Volley Ball game. If we sum up all attendance numbers for the Volley Ball game (first column), we get 700 + 1,000 + 3,050 + 250 = 5,000 people.
Now, let's find out how many people we have in that attendance being 12 or older but less than 21. That's the second line of the table, so 1,000.
That means that the probability the Fan Cam gets one of those 12 ≤ x < 21 fans is 1,000 / 5,000, so 1/5, which is equal to 20% or 0.20
B. Rugby 7s game: x > 12
As before, to calculate the probability, the first step is to evaluate the number of people meeting the requirement and then the number of the total population.
The total population is the total attendance of the game, so 500 + 1,000 + 2,500 + 1,000 = 5,000 people in the stadium.
How many of them are NOT less than 12 years of age? We have to sum up the last 3 rows of the table: 1,000 + 2,500 + 1,000 = 4,500 people 12 or older.
So, what's the possibility one of those 12 or older will be spotted by the Fans Cam? 4500 out of 5,000 = 9/10, or 90%.
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers. If each smoothie costs $3.75, which graph represents the balance of the cash box, y, after Jackie sells x smoothies?
the answer would be D
Answer with Step-by-step explanation:
Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers.
Each smoothie costs $3.75, then cost of x smoothies is: $3.75x
Then, y=3.75x+15
When x=0 y=15
when x=4 y=3.75×4+15
i.e. y=30
The only graph which satisfies y=0 at x=0 and y=30 at x=4 is D.
Hence, the correct graph is:
D.
What value of x is in the solution set of 2(4+2x)>5x+5
Answer:
x < 3
Step-by-step explanation:
2(4+2x)>5x+5
Distribute
8 +4x > 5x+5
Subtract 4x from each side
8 +4x-4x > 5x-4x+5
8 > x+5
Subtract 5 from each side
8-5 > x+5-5
3 > x
X must be less than 3
A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is
this an experimental or theoretical probability and why?
Answer:
[tex]P (2) =\frac{1}{7}[/tex] Theoretical probability
Step-by-step explanation:
The theoretical probability is defined as:
[tex]P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}[/tex]
In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:
number of desired results = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:
[tex]P (2) =\frac{1}{7}[/tex]
This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.
To calculate the experimental probability we must perform the following experiment:
Take a paper out of the bag, record the number obtained and then return the paper to the bag.
Now repeat this experiment n times. (Perform n trials)
So:
[tex]P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}[/tex]
To calculate a theoretical probability you always need to perform an experiment with n trials.
Which line segment is a radius of circle F?
1. ED
2. AC
3.FE
4. DC
Answer:
3. FE
Step-by-step explanation:
ED and DC are both part of the circle, AC is the diameter, FE is the radius
Julia decides to ride her bicycle around the track five times each day
Which best describes how far Julia will ride her bicycle around the track each day?
Plz help me
Answer:
B - Between 1 mle and 1.5 miles
Step-by-step explanation:
One lap around the track is .25 of a mile
Multipy times 5 and you get 1.25 miles
Answer:
b
Step-by-step explanation:
because thatch between anything
Which is a solution for the equation log (2x-1) + log 5=1
Answer:
[tex]x=\frac{3}{2}[/tex]
Step-by-step explanation:
When we don't have any base with "log", we assume it to have base 10.
Using the property Log M + Log N = Log(M*N), we can write:
Log (2x-1) + Log 5 = 1
Log ((2x-1)(5)) = 1
We can turn this into exponential form using [tex]Log_{a} b=x\\a^x=b[/tex]
Thus,
[tex]10^1=(2x-1)(5)\\10=10x-5\\10+5=10x\\15=10x\\x=\frac{15}{10}=\frac{3}{2}[/tex]
What is the value of x?
Answer:
x = 30 degrees
What is the distance between –14 and –5 on a number line?
Final answer:
The distance between – 14 and – 5 on a number line is 9 units, calculated by finding the absolute value of the difference between the two numbers.
Explanation:
The distance between two points on a number line is the absolute value of the difference between those two numbers. To find the distance between – 14 and – 5, subtract the smaller number (– 14) from the larger number (– 5) and then take the absolute value:
Distance = |(– 5) – (– 14)|
Distance = |9|
Distance = 9
Therefore, the distance on the number line between – 14 and – 5 is 9 units.
Solve the equation 24= 6(-x - 3)
Answer:
X= -7
I LOVE LOVE LOVE LOVE EQUATIONS.
Step-by-step explanation:
ALRIGHT!
1. 6*(-x)= -6x
2. 6*(-3)= -18
3. Now right in normal 24= -6x-18
4. Now keep the variables on one side and the numbers on the other and simplify it. And when keeping the variables on one side and the numbers on the other what ever you switch you must change it's expression. So if it's + you make it - and if it - you make it +. so 6x=-18-24= 6x=-42
5. Now simplify it. as a fraction. 6x = -42 = divide 6 on both sides now X= -7 6 6
AN
Jamal has 10 sets of collectible coins. Each set has 5 coins. How many collectible coins does Jamal have?
5
10
50
100
Answer:50
Step-by-step explanation:each of the 10 sets have 5 coins basically (10*5) = 50
50
10sets*5coins=50total coins
Simplify.
2
(8w)
Write your answer without parentheses.
Answer: I believe the answer would be 64w2.
Step-by-step explanation: 8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.
Hi There!
--------------------------------------
Answer:
64w²
Step-by-step explanation:
= (8w)²
= 8w × 8w
= 64w²
--------------------------------------
Hope This Helps :)
Factor the trinomial x^2- 5x- 36 Which of the following is one of the factors?
Answer:
Final factor is (x-9)(x+4)
Step-by-step explanation:
Given expression is [tex]x^2- 5x- 36[/tex].
Now we need to factor that expression
[tex]x^2- 5x- 36[/tex]
Find two numbers whose product is -36 and sum is -5.
Two such numbers oare -9 and +4. So we get:
[tex]=x^2- 9x+4x- 36[/tex]
[tex]=x(x-9)+4(x-9)[/tex]
[tex]=(x-9)(x+4)[/tex]
Hence final factor is (x-9)(x+4)
Answer:
(x-9) (x+4)
Step-by-step explanation:
x^2- 5x- 36
What two numbers multiply to -36 and add to -5
-9*4 = -36
-9+4 = -5
(x-9) (x+4)
Lines XU and WY intersect at point A.
Based on the diagram, determine, determine whether the statement is True or False.
The angle vertical to YAU measures 50°
(A.) True
(B.) False
The answer is A. True
Which of the following statements is true about the greatest integer function? A. The function is defined as the greatest integer greater than or equal to x. B. The greatest integer function is classified as a piecewise function. C. The range of the greatest integer function is the set of natural numbers. D. The domain of the greatest integer function is all whole numbers. 2. What's the common difference of the sequence –5, –2, 1, 4, 7, . . . ?
Final answer:
The true statement about the greatest integer function is that it is a piecewise function. The common difference of the given sequence is 3.
Explanation:
Let's break down each part of the question to provide a clear and accurate response.
Part 1: Greatest Integer Function
The statement that is true about the greatest integer function is B. The greatest integer function is classified as a piecewise function. The greatest integer function, denoted as [x], returns the greatest integer less than or equal to x. This function is indeed piecewise because it is defined in multiple pieces - for each interval of real numbers between integers, it takes a constant value equal to the lower endpoint of that interval.
Part 2: Common Difference of Sequences
To find the common difference of the sequence – 5, – 2, 1, 4, 7, …, you subtract any term from the term that follows it. For instance, – 2 - (– 5) = 3. Therefore, the common difference is 3.
21yz over 49xyz, what is the answer
Answer:
3/7x
Step-by-step explanation:
21yz
--------------
49xyz
We can break this into pieces
21 1 y z
--- * ---- * ----- * ----
49 x y z
Now we can simplify. canceling the y terms and the z terms
3*7 1 1 1
------ * ---- * ----- * ----
7*7 x 1 1
Now we can simplify canceling the 7 terms
3 1
------ * ----
7 x
We are left with
3/ 7x
I have 2 fewer sides than a polygon
I have 1 less angle than a square
I have 1 right angle
Which polygon are my?
Answer:
You are most likely a right triangle.
Step-by-step explanation: A polygon with 5 sides is the pentagon. A square has 4 angles, so with this, I can already tell that it is a triangle if it has 3 angles, (one less than a square). Then it says that it has 1 right angle. This would make the triangle a right. I hope this helps.
Final answer:
The polygon described has 'n - 2' sides, 3 angles with one being a right angle, and the other two totaling 90 degrees.
Explanation:
The polygon described in the question has 2 fewer sides than a regular polygon. Let's call the number of sides of the polygon 'n'. So, the polygon has 'n - 2' sides.
The polygon has 1 less angle than a square, which has 4 angles. So, the polygon has 4 - 1 = 3 angles.
The polygon described in the question has 1 right angle. A right angle measures 90 degrees. Since the polygon has 3 angles, and one of them is a right angle, the other two angles must add up to 180 - 90 = 90 degrees.
Putting it all together, the polygon described in the question has 'n - 2' sides, 3 angles with one of them being a right angle, and the other two angles totaling 90 degrees.
what is the product ? 3*[-6,-11,-14,-9]
Answer:
[tex]\large\boxed{\left[\begin{array}{ccc}-18&-33\\-42&-27\end{array}\right] }[/tex]
Step-by-step explanation:
[tex]n\cdot\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =\left[\begin{array}{ccc}(n)(a)&(n)(b)\\(n)(c)&(n)(d)\end{array}\right]\\\\============================\\\\3\cdot\left[\begin{array}{ccc}-6&-11\\-14&-9\end{array}\right] =\left[\begin{array}{ccc}(3)(-6)&(3)(-11)\\(3)(-14)&(3)(-9)\end{array}\right] \\\\=\left[\begin{array}{ccc}-18&-33\\-42&-27\end{array}\right][/tex]
Answer:
the answer is B !
Step-by-step explanation:
Find the similarity ratio of the larger triangle to the smaller one.
Answer:
A
Step-by-step explanation:
The base of the larger triangle is twice as large as the smaller one: 6 v 3 --> 6 : 3 --> 2 : 1.
A map is drawn using the scale 2 cm:100 mi. On the map, Town B is 3.5 centimeters from Town A, and Town C is 2 centimeters past Town B. How many miles apart are Town A and Town C?
Answer:
[tex]275\ mi[/tex]
Step-by-step explanation:
we know that
The distance on the map from Town A and Town C is equal to
3.5 cm+2 cm=5.5 cm
The scale map is equal to
[tex]\frac{2}{100}\frac{cm}{mi}[/tex]
Simplify
[tex]\frac{1}{50}\frac{cm}{mi}[/tex]
That means-----> 1 cm on a map is 50 mi on the actual
so
by proportion
[tex]\frac{1}{50}\frac{cm}{mi} =\frac{5.5}{x}\\ \\x=50*5.5\\ \\x=275\ mi[/tex]
Solve the equation. leave your answer in exact form. 4^(x-3)=13
ANSWER
[tex]x = \frac{ ln(832) }{ ln(4) } [/tex]
EXPLANATION
The given equation is
[tex] {4}^{x - 3} =13.[/tex]
[tex] ln({4}^{x - 3} )= ln(13)[/tex]
We use the power rule of logarithms to get:
[tex](x - 3) ln(4) = ln(13) [/tex]
Expand;
[tex]x ln(4) - 3 ln(4) = ln(13) [/tex]
Solve for x,
[tex]x ln(4)= ln(13) + 3 ln(4) [/tex]
[tex]x ln(4)= ln(13) + ln( {4}^{3} ) [/tex]
[tex]x ln(4)= ln(13) + ln(64) [/tex]
[tex]x ln(4)= ln(13 \times 64) [/tex]
[tex]x ln(4)= ln(832) [/tex]
[tex]x = \frac{ ln(832) }{ ln(4) } [/tex]
For which equation would x = 3 be a solution?
x + 7 = 4
x - 2 = 1
5 + x = 9
8 - x = 11
What is the solution to the equation 7.5 - x = 2.8?
x = 4.7
x = 5.3
x = 5.7
x = 10.3
x = 3 is a solution for the equation x - 2 = 1. The solution for 7.5 - x = 2.8 is x = 4.7. Both solutions were verified by substituting back into the original equations.
Let's first determine for which equations x = 3 is a solution:
x + 7 = 4
Substitute x = 3: 3 + 7 = 10, which is not equal to 4. Hence, x = 3 is not a solution to this equation.
x - 2 = 1
Substitute x = 3: 3 - 2 = 1, which is correct. Therefore, x = 3 is a solution to this equation.
5 + x = 9
Substitute x = 3: 5 + 3 = 8, which is not equal to 9. Thus, x = 3 is not a solution to this equation.
8 - x = 11
Substitute x = 3: 8 - 3 = 5, which is not equal to 11. Therefore, x = 3 is not a solution to this equation.
The correct option is- b
Now, we solve the equation 7.5 - x = 2.8:
1. Start by isolating x:
7.5 - x = 2.8
2. Subtract 7.5 from both sides of the equation:
-x = 2.8 - 7.5
-x = -4.7
3. Multiply both sides by -1 to solve for x:
x = 4.7
The correct option is- a
Hence, the solution to the equation is x = 4.7.
Therefore x = 3 is a solution for the equation x - 2 = 1. The solution for 7.5 - x = 2.8 is x = 4.7.
anthony is solving the equation x^2-12x=16 by completing the square. what number should be added to both sides of the equation to complete the square?
The number he should add on both sides of the equation to complete the square is 36.
What number should be added to both sides to complete the square ?The given equation is [tex]x^{2} - 12x = 16[/tex]
Thus, to make it a complete square, both sides of the equation must be a perfect square.
If we add number 36 on both sides of the equation, then the resulting equation is a perfect square.
⇒ [tex]x^{2} - 12x + 36= 16 + 36[/tex]
⇒ [tex](x-6)^{2} = 52[/tex]
∴ [tex](x-6)^{2} = (2\sqrt{13} )^{2}[/tex]
Thus, the given equation is a complete square from both sides.
Therefore, the number he should add on both sides of the equation to complete the square is 36.
To learn more about complete square, refer -
https://brainly.com/question/13981588
#SPJ2
Final answer:
Add 36 to both sides of the equation x²- 12x = 16 to complete the square, transforming it into a perfect square trinomial.
Explanation:
To complete the square for the equation x² - 12x = 16, you need to take half of the coefficient of x, which is -12, and square it. This process transforms the left-hand side into a perfect square trinomial. Therefore, you calculate (12/2)² which equals 36. This is the value that needs to be added to both sides to complete the square. The equation then becomes x² - 12x + 36 = 16 + 36, which simplifies to (x - 6)²= 52
Jack made $200 for working 40 hours. Saida made $242 for 44 hours of work. Are the pay rates proportional?
Answer:
No.
Step-by-step explanation:
If they are proportional, they equal each other.
We can use a proportion.
200/40 = 242/44
Simplify.
5 = 5.5
So they are not proportional.
The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• [tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁[tex]r^{3}[/tex] = 24 → (1)
Given a₈ = [tex]\frac{8}{27}[/tex], then
a₁[tex]r^{7}[/tex] = [tex]\frac{8}{27}[/tex] → (2)
Divide (2) by (1)
[tex]r^{4}[/tex] = [tex]\frac{\frac{8}{27} }{24}[/tex] = [tex]\frac{1}{81}[/tex]
Hence r = [tex]\sqrt[4]{\frac{1}{81} }[/tex] = [tex]\frac{1}{3}[/tex]
Substitute this value into (1)
a₁ × ([tex]\frac{1}{3}[/tex] )³ = 24
a₁ × [tex]\frac{1}{27}[/tex] = 24, hence
a₁ = 24 × 27 = 648
Answer the question in the picture.
Answer:
247 people per square mile
Step-by-step explanation:
Population density is people per area
We need to find the area
We are given the radius
We will assume a circular area since we are given radius
A = pi r^2
A = 3.14 * 5^2
A = 3.14 *25
A = 78.5 miles ^2
19400 people
---------------------
78.5 miles ^2
247.133758 people per square mile
Rounding to the nearest person
247 people per square mile
In triangle LMN, angle N is a right angle, LM=76units and MN=40 units. What is the approximate neasure of angle M
Check the picture below.
make sure your calculator is in Degree mode.
Answer:Cos M = 40/76Cos M = 10/19M = 58
degrees
Step-by-step explanation: