Answer:
[tex]y - 15 = 5(x-3)[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in point slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which the point is [tex](x_0,y_0)[/tex] and m is the slope.
3/15
This means that [tex]x_0 = 3, y_0 = 15[/tex]
So
[tex]y - 15 = m(x - 3)[/tex]
Finding the slope:
Suppose we have two points. The slope is given by the change in the output divided by the change in the input.
3/15
5/25
Change in the output: 25 - 15 = 10
Change in the input: 5 - 3 = 2
So
[tex]m = \frac{10}{2} = 5[/tex]
The equation is:
[tex]y - 15 = 5(x-3)[/tex]
Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).
Answer:
[tex]\displaystyle -11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
f(x) = -x² - 7x - 8
(1, 3) → a = 1, b = 3
Step 2: Find Average Rate
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function: [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents: [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply: [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract: [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative: [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add: [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide: [tex]\displaystyle -11[/tex]Answer:
Step-by-step explanation:
-1x^2-7x8
-1x^2-7x+8
-1x+8-7x
+1x +1x
----- ------
X -7x
8 -7x
---- -----
+7 +7
---- -----
15 1x/x
15 1x
---- -----
1 X
X=15
Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.
What you do to one side you do to the other.
A local yoga studio
charges a sign-up fee of
$55, plus $10 per class. A
second yoga studio
charges a sign-up fee of
$25 plus $12.50 per class.
A. Griffin
B. Gigi
Answer:
Let's call the first studio, yoga studio A.
Let's call the second studio, yoga studio B.
The equations:
Yoga Studio A: y=10x+55
Yoga Studio B: y=12.5x+25
So, for 12 classes:
Yoga Studio A: y=10(12)+55, y=175
Yoga Studio B: y=12.5(12)+25, y=175
These two numbers are equal, so Griffin is right.
For 10 classes:
Yoga Studio A: y=10(10)+55, y=155
Yoga Studio B: y=12.5(10)+25, y=150.
These two numbers are not equal, so Gigi is wrong.
Let me know if this helps!
What is the answer for
(7-2)÷5
Answer:
1
Step-by-step explanation:
7-2=5 5/5=1
9(3x + 4) - 22 = 11 +5(42 - 1)
Answer:
13
Step-by-step explanation:
because I know cause my dad is adam sandler
Answer:
hello! :) have a good day!
Exact Form:
x = 202/27
Decimal Form:
x = 7.481
Mixed Number Form:
x = 7 13/27
Put the equation into this form
Answer:
y=x(x-2)-8
Step-by-step explanation:
hope this helps :)
Given two intersecting CHORDS and their intercepted arcs, how do I determine the angles of intersection of the chords?
Answer:
Angles of Intersecting Chords Theorem
Step-by-step explanation:
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.
Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4
Can someone pls help me? I’m confused!
Answer:
? = 24
Step-by-step explanation:
Pizzas = 3
Because of this, burgers must be 2
2³ = 8
Tacos = 8
8 + 8 + 8 = 24
24
Explanation
Pizza Slice= 3
You divide 27 by 3, which gets you 9, then divide it by 3 again, which gets you 3 once more. 3 is how much a pizza slice is.
Hamburger = 2
Since we know a pizza slice is 3, we can do 3×3 to get us 9, which we would then have to divide 18 by 9 so we get the value of the Hamburger, which is 2.
With that information in mind, 3 Hamburgers (2×2×2) equals a Taco, which would be 8. And three tacos (8+8+8) equals 24.
Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor
Answer:
Step-by-step explanation:
The ratio of pennies : nickels is proportional to the ratio of nickels : dimes,
and to the ratio of dimes : quarters. If you have one penny and two nickels,
how much money do you have?
We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.
Answer:
a.) [tex]\frac{1}{6}[/tex]
b.) [tex]\frac{3}{15}[/tex]
c.) [tex]\frac{27}{36}[/tex]
Step-by-step explanation:
Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability
of it landing on any number between [1-6] is equi- probable
(i.e., [tex]\frac{1}{6}[/tex]).
To find - (a) Find the probability that doubles are rolled.
(b) Given that the roll results in a sum of 6 or less, and
the conditional probability that doubles are rolled.
(c) Find the probability that the larger of the two die's outcomes
is at least 4.
Proof -
As given , two fair 6-sided dice is rolled.
The sample space is as follows :
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total number of outcomes = 36
a.)
Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }
Total number of possible outcomes = 6
So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]
b.)
Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}
Now,
Total outcomes = 15
Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )
So, Probability = [tex]\frac{3}{15}[/tex]
c.)
Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total possible outcomes = 27
So, Probability = [tex]\frac{27}{36}[/tex]
You have a choice of receiving a wage of $26,000 per year, $2860 per month, $630 per week, or $14.30 per hour. Which pay choice would you take? Assume a 40-hour work week and 52
weeks of work per year
A $26,000 per year
B$2860 per month
C $630 per week
D14.30 per hour
Answer:
I think the answers is B
Step-by-step explanation:
But im so sorry if its not right...
Have a nice day
Which value is the solution to the equation 20=y+12 ? ( use substitution to find solutions to equations.)
Answer:
8 = y
Step-by-step explanation:
In order to find a solution to an algebraic equation such as this one we simply need to isolate the variable. We do this by applying the opposite operation to each side in order to get rid of the other factors and get the variable alone. Like so...
20 = y + 12 ... we need to subtract 12 from both sides to get rid of the 12 on the right side with the variable y.
20 - 12 = y + 12 - 12
8 = y
Finally, we can see that the value of the variable y is 8
In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?
Examine the diagram. It is not drawn to scale.
What is the m_3?
m_3=
Answer:
I think 12 I don't know if it's right or not but I tried
Answer:
its 105 :)
Step-by-step explanation:
its 100% correct <3
Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1
Answer:
-12
Step-by-step explanation:
2 (2x-3y)-5xy
4x-6y-5xy
4(-2)-6(-1)-5*-2*-1
-8+6-10
-12
I really need help on this please
Answer:
m<S = 92°
Step-by-step explanation:
Opposite angels of a cyclic quadrilateral are supplementary. That is, they sum up to 180°.
<S and <Q are opposite angles of the cyclic quadrilateral given.
m<Q = 88°
Therefore,
m<Q + m<S = 180°
88° + m<S = 180° (substitution)
m<S = 180° - 88° (substraction property of equality)
m<S = 92°
A, C, E
A, C, D
B, D, E
C, D, E
Answer: A C and E (1st choice)
Step-by-step explanation:
If WX = x + 5 and XY = 3x - 13, then what is the value of x?
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
[tex]WX = x + 5[/tex]
[tex]XY = 3x - 13,[/tex]
Required
Find x
To do this, I will assume [tex]WX = XY[/tex].
So, we have:
[tex]x + 5 = 3x - 13[/tex]
Collect Like Terms
[tex]x - 3x = -5 - 13[/tex]
[tex]-2x = -18[/tex]
Divide by -2
[tex]x = 9[/tex]
please help me with this !!!
ASIGNATURA: Matemáticos
Tema: Una respuesta inesperada
Instrucciones: Lena los espacios escribiendo el número que resulta de multiplicar el número
de la columna de la izquierda por cada uno de los números de la fila superior.
3
5
4
6
2
10
8
4
3
27
21
18
5
15
45
40
7
63
49
14
16
8
72
24
18
72
36
54
45
9
8
12
28
36
a) Los múltiplos de 3 son:
b) Todos los números pares son múltiplos de:
c) Los múltiplos de 5 son:
dos en negrita
Answer:
a) Los múltiplos de 3 son: 3,6,9,12,15,18,21,24,27
b) Todos los numeros pares son multiplos de: 2
c) Los múltiplos de 5 son: 5,10,15
Calculate the slope of graph E. Type your answer in the box.
Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)
Answer:
[tex]\displaystyle m=\frac{-1}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (5, 5)
Step 2: Identify
x₁ = -2, y₁ = 6
x₂ = 5, y₂ = 5
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add: [tex]\displaystyle m=\frac{-1}{7}[/tex]The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour
n×r=£w
That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R
1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
centimeters. If the base measures 30 centimeters, find the height and the
measure of the two equal angles. Round your answer to the nearest tenth.
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
[tex] L^{2} = H^{2} + B^{2} [/tex]
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
[tex] H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm [/tex]
2. The two equal angles (θ) can be found using the following trigonometric identity:
[tex] cos(\theta) = \frac{B}{L} [/tex]
[tex] \theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ} [/tex]
Hence, the two equal angles are 44°.
I hope it helps you!
What is the slope of the line? y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac15 5 1 start fraction, 1, divided by, 5, end fraction (Choice B) B -\dfrac45− 5 4 minus, start fraction, 4, divided by, 5, end fraction (Choice C) C 111 (Choice D) D 55
Answer: A
Step-by-step explanation:
Answer:5
Step-by-step explanation:I got it wrong and decided to give you guys the right answer.
The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
work out the surface area of this cylinder
Answer:
A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
Step-by-step explanation:
A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer:
960 gallons
Step-by-step explanation:
20 gallons * 48 hous =960 gallons
1920 - 960 =960 gallons.
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2. Explain
Answer:
i d k
Step-by-step explanation:
Answer:
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.
A giant panda lives in the Washington, DC zoo. What does the point shown tell you about the panda?
Answer:
he is 36 months old or 3 years old, and he ways 82 kilograms.
Step-by-step explanation:
quick mafs
The point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
How to read the data from the graph?In a graph, the line which is horizontal is known as the x-axis of the graph. The vertical line in the graph is called the y-axis of it. These axis helps to read the data from graph in following way-
The value of a point parallel to x axis in graph gives the value x-value. It is the value of parameter which is titled on x-axis.The value of a point parallel to y axis in graph gives the value y-value. It is the value of parameter which is titled on y-axis.In the given graph, the x-axis is labeled with age in months and y-axis is labeled with weight of panda.
The point with coordinates (36,82) tells that the age of panda is 36 months and the weight of the panda is 82 kilograms.
Hence, the point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
Learn more about the graph here;
https://brainly.com/question/24696306
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