slope = 4
y intercept = 0
====================================================
Explanation:
Two points on this line are (8,32) and (12,48)
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (48-32)/(12-8)
m = 16/4
m = 4
The slope is 4.
Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b
y = mx+b
32 = 4*8+b
32 = 32+b
32-32 = 32+b-32 ... subtract 32 from both sides
0 = b
b = 0
------------------
We found that m = 4 is the slope and b = 0 is the y intercept
We go from y = mx+b to y = 4x+0, which simplifies to y = 4x
In short: the y coordinate is 4 times that of the x coordinate.
For instance, if x = 16, then
y = 4x = 4*16 = 64
Which leads to the point (16,64)
Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.
Answer:
y = 4x
Step-by-step explanation:
The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]
~~~~~~~~~~
(8, 32)
(12, 48)
(16, 64)
k = 32 ÷ 8 = 4
y = 4x
find the exact value of x
Answer:
7.07
Step-by-step explanation:
5sin90=xsin45
5/sin45=7.07
Answer:
Step-by-step explanation:
A ferris wheel holds 60 people in 25 minutes. How many people can it hold in 4 hours?
Answer: The Ferris wheel can hold 576 People in 4 hours
Step-by-step explanation: To find how many people the Ferris wheel can hold in 4 hours, we first want to know how many people the Ferris wheel can hold per minute and per hour.
To find how many people can go on the Ferris wheel per minute, simply divide 60 by 25.
60/25 = about 2.4 people per minute.
There are 60 minutes in a hour, so multiply 2.4 by 60.
2.4 x 60 = 144 People per hour.
We want to know how many people the Ferris wheel can hold in 4 hours. So multiply 144 by 4.
144 x 4 = 576 People that the Ferris wheel can hold in 4 hours.
can anyone help me solve this?
Answer:
Step-by-step explanation:
[tex](\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35[/tex]
Subtract both sides from 35
[tex](\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35[/tex]
Simplify:
[tex](\sqrt{z})^{2} -57=0[/tex]
Factor [tex](\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})[/tex]=0
[tex]\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0[/tex]
[tex]\sqrt{z} +\sqrt{57} =0: No Solution for Z[/tex]
[tex]\sqrt{z} -\sqrt{57} =0: z=57[/tex]
Your answer will be z=57
and No solution
Answer:
(
z
+
22
)(
z
−
22
)=35
Subtract both sides from 35
(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(
z
+
22
(
z
−
22
)−35=35−35
Simplify:
(\sqrt{z})^{2} -57=0(
z
)
2
−57=0
Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(
z
)
2
−57:(
z
+
57
)(
z
−
57
) =0
\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0
z
+
57
=0or
z
−
57
=0
\sqrt{z} +\sqrt{57} =0: No Solution for Z
z
+
57
=0:NoSolutionforZ
\sqrt{z} -\sqrt{57} =0: z=57
z
−
57
=0:z=57
Your answer will be z=57
A rectangle is 14 inches long and 6 inches wide. Find it’s area
I need help with this.
Answer:show me
Step-by-step explanation:
Help me please..........
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
__
Algebraic solution
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
will give brainliest to right answer
Answer:
D
Step-by-step explanation:
Area of rectangle: 6 x 4 = 24
Area of triangle: 4(4)/2 = 8
Area of semi-circle: (πr²2)2 = 2π ≈ 6.28
24 + 8 + 6 = 38
here is a math question
Answer:
D.
Step-by-step explanation:
Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)
) 1
es
Penny deposits $74 into her bank account. This puts her balance at $225. How much money did Penny have in hel Dan
account before her deposit?
$225 = $74+ m
2
dar
m = $
type your answer...
3
OX
Answer:
$151
Step-by-step explanation:
225 = 74 + m
- subtract 74 from both sides
225-74 = 74-74 +m
1. 151 = 74 - 74 + m
2. 151 = 0 + m
the 0 is irrelevant so you can remove it and you get
151 = m
the correct way to write it would be:
m = 151
Answer:
150 ________//_/___________///////
Please help if you can. :) ASAP
Answer:
380 ft squared
Step-by-step explanation:
20 times 25 = 500 ft squared
but since there is air
12 times 10 = 120 ft squared
500 - 120= 380 ft squared
help me pleaseeeeeeee
To stay within your budget,the area of the house and the garage combined is at most 3000 square feet.The area of the garage is 528 square feet.Write and slove an inequality that represents the area of the house. write the inequality, do not simplify. Let h=area of the house simplify the inequality
Answer:
h ≤ 3000 ft² - 528 ft²
h ≤ 2472 ft²
Step-by-step explanation:
Area of house and garage is at most 3000 ft²
Area of garage = 528 ft²
Area of house (h) =?
Area of garage + Area of house ≤ 3000 ft²
528 ft² + h ≤ 3000 ft²
h ≤ 3000 ft² - 528 ft²
h ≤ 2472 ft²
what equation represents the line shown on the graph
Answer:
y = - x + 2
Step-by-step explanation:
the slope is negative, so eliminate choice 2 and 3.
the y intercept is 2 and the slope is -1, hence the answer is choice 4
Turn these phrases into algebraic expressions (PLEASE HELP)
Twice a number, decreased by 7
2 more than 7 times a number
9 less than a number
4 times a number, plus 9
9 decreased by 4 times a number
one-fourth of a number
Dak Prescott sucks
period
i dare you argue
and btw go easy on his injury cowboys! till i die
Step-by-step explanation: my reasons:
The kind of dreams where you wake up and can’t stop smiling.
The smell before and after it rains.
The sound of rain against a rooftop.
The feeling you get when you’re dancing.
The person (or people) that mean the most to you. Stay alive for them.
Trying out new recipes.
The feeling you get when your favorite song comes on the radio.
Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.
In a survey of his neighborhood, Timothy found out that 3 families out of 7 have a dog for a pet. If this ratio is true for the whole town, how many families would have a pet dog in a town with about 3,850 families?
Answer:
1650 families
Step-by-step explanation:
In a survey of his neighborhood, Timothy found out that 3 families out of 7 have a dog for a pet.
The given ratio = 3:7
When written as a fraction = 3/7
The number of families that would have a pet dog in a town with about 3,850 families is given as:
3/7 × 3,850
= 1650 families
Therefore, 1650 families would have a pet dog in town.
2. Juan eats 12 cupcakes, out of a total of 60 cupcakes. What % of the total cupcakes did
Juan eat?
A. 25% B. 20% C. 30% D. 40%
PLzZz HELP ASAP
63 POINTS
Answer:
20 percent
Step-by-step explanation:
10% of 60 is 6
6 times 2 is 12, 10% times 2 is 20%. so 20%
Answer:
20%
Step-by-step explanation:
20%
Simplify: (-7x + 5) - (2x2 – 8x + 6). Choose the standard form of the answer.
A. -2x2 + x-1
B. -9x2 + 8x - 1
C. -5x2 + 8x-1
D. 2x2 - 15x - 1
Answer:
A.-2x2+-1
Step-by-step explanation:
(-7x+5)-(2x2-8x+6)
-7x+5-2x2+8x-6 then collect like terms
-2x2-7x+8x+5-6
-2x2-x+1
If it's helpful ❤❤❤
THANK YOU
Expression is a set of numbers, variables, and mathematical operations. The standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As the expression is given to us (-7x + 5) - (2x² – 8x + 6), in order to simplify the problem we need to open the brackets. therefore, the expression can be solved as,
[tex](-7x + 5) - (2x^2 - 8x + 6)\\\\= -7x + 5 - 2x^2 + 8x - 6\\\\ = -2x^2+8x-7x-6+5\\\\=-2x^2 + x - 1[/tex]
Hence, the standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.
Learn more about Expression:
https://brainly.com/question/13947055
Can somebody please help me with this question!! I will appreciate the help dearly
Answer: -7, 7
Step-by-step explanation:
-2x^2 - 9 = -107
-2x^2 + 98 = 0 (add 107 to both sides)
-2(x - 49) = 0 (factor out -2)
-2(x - 7)(x + 7) = 0 (factor)
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?
Answer:
12
Step-by-step explanation:
The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.
Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Who can answer this??
Answer:
Answer is B.
because points cross 0.7 and 2
Answer:
B
Step-by-step explanation:
Because when you substitute x by zero, you will get y=+2 and continue substitute x by other numbers to see difference y values and plot it.
PWEASE HELP MWEEEEE UwU
Answer: the second
one
Step-by-step explanation:
PLEASE HELP ASAP - SLOPE
What is (a^2-b^2) factored out?
Answer:
(a+b)(a-b)
Step-by-step explanation:
because (a+b)(a-b):
If you use FOIL it will work backwards
With a knowledge of strings and numbers, you can announce equations to the user. Create a file that includes four different equations created with JavaScript. Each equation should be displayed to the user through JavaScript (an alert, HTML output, etc). The left side of the equation and the equal sign should be in a string, and the answer should be the actual calculation. Do not type in the answer as part of the string.
Hint: When you concatenate these two data types, place the calculation inside parentheses. Concatenating a string and a number will coerce your number into becoming a string, so you’ll want the calculation to be executed before that happens.
When you are finished, make sure your files are up and working on your Neocities account. Submit your URL to your teacher to complete the assignment. Be sure your site functions live on Neocities and contains all of the assignment's requirements. Your assignment will be graded based on the rubric below.
Answer:
//
Step-by-step explanation:
A una fiesta número de mujeres era 4 veces al número de hombres después de la llegada de 5 matrimonios el porcentaje de hombres en la fiesta pasó a ser deben 6% cuál es el número de mujeres después de la llegada de 5 matrimonios
After the arrival of 5 marriages, the total women will be 9.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%
Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.
After the arrival of 5 marriages -
y + 5 = 4x + 5
and
x = 6% of y
x = (6/100) x y
x = (3/50)y
So, we can write -
y + 5 = (12/50) + 5
y = 12/50
So -
x = (12/50) x (50/3)
x = 4
After the arrival of 5 marriages, the total women will be -
x + 5 = 9
Therefore, after the arrival of 5 marriages, the total women will be 9.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ5
{Question in english language is -
At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}
This is a question .PLease help.
Laura tiene una tarifa de telefono en la que paga solo por el tiempo que dura cada llamada .Si un minuto cuesta o,16€ ysu ultima llamada duro 3,15 min ¿cuanto tendra que pagar?
Answer:
50,4 €
Step-by-step explanation:
De la pregunta anterior,
1 minuto = 16 €
3,15 minutos = x
Cruz multiplicar
x × 1 minuto = 16 € × 3,15 minutos
x = € 16 × 3,5 minutos / 1 minuto
x = 50,4 €
Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
Find A + B. Be sure to show your work.