Answer:
[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]
Step-by-step explanation:
Given two points, we can find the equation of the line between them with the following:
[tex]y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}[/tex]
First, we can calculate m, or slope
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)} = \frac{5}{5} = 1[/tex]
Next we can use the top equation and solve for b, the y-intercept
[tex]y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4[/tex]
[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]
Does the equation: -x + 6y = -7 represent direct variation?
Answer:
The equation -x + 6y = -7 does not represent direct variation.
Step-by-step explanation:
The form of the linear equation is y = m x + b, where m is the slope of the line which represents the equation and b is the y-interceptThe direct variation is a linear relation, and represented graphically by a line passes through the origin, which means the y-intercept is (0. 0), then (b = 0)The equation of the direct variation is y = m xLet us solve the question
∵ The equation is -x + 6y = -7
→ Substitute x by 0 to find the value of y-intercept
∵ x = 0
∴ 0 + 6y = -7
∴ 6y = -7
- Divide both sides by 6 to find y
∴ y = [tex]-\frac{7}{6}[/tex]
∴ The y-intercept of the equation is (0, [tex]-\frac{7}{6}[/tex] )
∵ The y-intercept of the direct variation is (0, 0)
∴ The equation -x + 6y = -7 does not represent direct variation.
Hi, could any one explain how to find the amount of prime numbers between numbers?
Answer:
The answer is below
Step-by-step explanation:
So first to find a prime number, you need to know some multiplication skills.
So prime number is a number that is only divisible by itself or 1.
______
For example
3 is a prime number because it can't be divisible by any number
but
9 is not a prime number, because it can be divisible by 3
3 x 3 = 9
______________________
So you get it now
Now if you get a some number between 1 - 10
you have to use your multiplication skills to see if there are any prime numbers.
_____________________________
so
1 - not a prime number, can't be divisible by any number.
2 - not a prime number, can't be divisible by any number.
3 - not a prime number, can't be divisible by any number
4 - is a prime number, can be divisible a number (2 x 2 = 4)
5 - not a prime number, can't be divisible by any number
6 - is a prime number, can be divisible a number (3 x 2 = 6)
7 - not a prime number, can't be divisible by any number
8 - is a prime number, can be divisible a number (4 x 2 = 8)
9 - is a prime number, can be divisible a number (3 x 3 = 9)
10 - is a prime number, can be divisible a number (5 x 2 = 10)
__________________________________________________________
Laura has to three cats: The ratio of Socks weight to princess weight is 4:5 The ratio of princesses weight to Luna's weight is 6 :7. What is the ratio of socks weight to Luna's weight?
Answer:
s : l = 24 : 35
Step-by-step explanation:
Let
Socks weight = s
Princess weight = p
Luna's weight = l
The ratio of Socks weight to princess weight is 4:5
s : p = 4 : 5
s / p = 4 / 5
The ratio of princesses weight to Luna's weight is 6 :7
p : l = 6 : 7
p / l = 6 / 7
What is the ratio of socks weight to Luna's weight
Multiply both given ratios
s / p * p / l = 4 / 5 * 6 / 7
p cancel out
s / l = 24 / 35
s : l = 24 : 35
Ratio of socks weight to Luna's weight is 24 : 35
Plz help me with this question if you can explain plz do also thank you!!
Answer:
The answer is b because h = hours and 45 is the mph
Step-by-step explanation:
Plz help very important question!!!!!
Answer:
Domain: [1, 6]
Range: [1, 7]
General Formulas and Concepts:
Alg I
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
We can find our domain and range from looking from the graph.
Domain
Domain encompasses x-values. According to the graph, the x-values span from 1 to 6. Since both are closed dots, they are included in the domain:
[1, 6] or 1 ≤ x ≤ 6
Range
Range encompasses y-values. According to the graph, the y-values span from 1 to 7. Since both are closed dots, they are included in the range:
[1, 7] or 1 ≤ x ≤ 7
Easy way to remember this: for Domain, look only at the x-axis and for Range, look only for the y-axis.
whats the slope of (-1,4) and (-2,5)
Answer:
m=-1
Step-by-step explanation:
Answer: m = -1
Step-by-step explanation: Use the slope formula to find the slope m.
x^(2)+16x+28=0 complete the square
Answer:
(x + 8)² = 36
Step-by-step explanation:
When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.
x² + 16x + 28 = 0
x² + 16x + 28 - 28 = 0 -28
x² + 16x = -28
Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.
x² + 16x + 64 = -28 + 64
x² + 16x + 64 = 36
Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.
(x + 8)² = 36
3/4 subtracted from a number, and then 5 1/4 was added to the result The sum was -7. What was the original number?
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
what is the slope of ( -4,-1) , (8 - -7)
(a^2 - b^2)/(2 + d^3)
a stands for 6, b stands for 4, d stands for 1 over 2, i need explanation too
Answer:
Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]
Step-by-step explanation:
We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]
and values a=6, b=4 and d=1/2
We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result
Putting values in the equation:
[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]
So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]
ANSWER ASAP ! NEED ANSWERS
Answer:
B.
Step-by-step explanation:
The midpoint is at y=1
Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0
Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0
Answer:
The answer is B
Step-by-step explanation:
All they did was switch the numbers and if you use distribution it will be equal.
En un mapa tienes que ir de la escuela a el mercado y del mercado a la biblioteca pero ¿Cómo se mide la distancia que hay entre cada uno de esos lugares si sale 1:10000 centímetros?
Answer:
La escala es 1 : 10000 centimetros
Eso significa que por cada centimetro que una persona mide en el mapa, en la vida real la distancia es 100 metros.
Por ejemplo, si usamos una regla para medir la distancia en el mapa y medimos que entre la escuela y el mercado hay una distancia de 7 centimetros (siguiendo las calles, no en linea recta), entonces la distancia a caminar para ir de la escuela al mercado es de 700 metros. Debemos ser cuidadosos y medir la distancia siguiendo las calles, ya que si medimos en linea recta la distancia puede ser menor, pero los humanos no volamos.
Which answer is equivalent to the following expression:
42 ÷ ‒7
A.
6
B.
7
C.
‒7
D.
‒6
Answer:
D
Step-by-step explanation:
42 dived by -7 is -6, D
When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest
If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.
The function, f(x), models the total number of dolls in her collection after x number of years is,
f(x) =6+4x.
Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.
Learn more about the function here:
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Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
A right triangle is a move from a rectangle to create the shaded region below. find the area of shaded region. be sure to include the correct unit in your answer.
Answer:
55 cm²
Step-by-step explanation:
Area of rectangle is 9 × 7 = 63 cm²
Area of write angled triangle is [tex]\frac{1}{2}[/tex] (7 - 3)(9 - 5) = 8 cm²
The area of shaded region is 63 - 8 = 55 cm²
100 percent as a fraction in simplest form.
Answer:
1/1
Step-by-step explanation:
100/100=1/1=1
Answer:
Step-by-step explanation
1/10 would be the answer
As a fraction it would be 1/100 but simplified it will be 1/10
find the root of the equation
x^2=255
Answer:
15
Step-by-step explanation:
15^2=225
Answer:15
15^2=255 the other person was correct and i back that up
James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum.
Answer:
The number of places correctly identified is 110 places
Step-by-step explanation:
The number of places he correctly identified will be;
11 + 4 + 86 + 9 = 110 places
By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5
so 4 will be 5
11 will be 10
86 will be 85
9 will be 10
Adding all of these together, we have
5 + 10 + 85 + 10 = 110
What is the value of n in (17 × 25) × 4 = n × (25 × 4)?
Answer:
n= 17
Step-by-step explanation:
17×25 = 425
425×4= 1700
25×4=100
1700÷100= 17
Answer:
Step-by-step explanation:
(17×25)×4=n×(25×4)
or 17×(25×4)=n×(25×4)
17=n
∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]
Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.
Answer:
14x>200+5.5, She must sell 15 or more vases
Step-by-step explanation:
14x>200+5.5
14x>200+5.5
14x>205.5
x>14.68*
She must sell 15 or more vases
*You round up because you cannot sell a partial vase
Answer:
14v > 200 + 5.50v, she will have to sell 24 vases to make a profit
Step-by-step explanation:
It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.
14n > 200 + 5.50n
336 > 332, true
n > 23
Hope This Helps!
15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles
Answer:
Can you be more specific if you can I will answer in the comments :)
Step-by-step explanation:
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
[tex]\frac{y2 - y1 }{x2 - x1}[/tex]
Now plug in your points
[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!
You have 784 grams of a radioactive kind of tellurium. If its half-life is 42 minutes, how much will be left after 126 minutes?
Answer:
98 grams
Step-by-step explanation:
The simplest way to think about this is that the half life has elapsed 3 times, so you need to take the initial mass and divide it by 2 3 times, so 784/2/2/2 or 784/8 which is 98
On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)
The correct option is option C i.e., (1,3).
It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
We have to check which ordered pair from given options is correct.
What do you mean by domain and ranges of a function ?
The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.
As per the question ;
A circle has the points ;
(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
We know that ;
A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.
Also ;
The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.
Now ; check for relation.
Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.
So;
The correct option is C.
Thus , the correct option is option C i.e., (1,3).
To learn more about ordered pairs click here ;
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Answer:
C (1, 3)
Step-by-step explanation:
edge 2023
Solve. 5= 2M minus B divided by M plus b for b
PLEASE HELP :(