Answer:
8x+(-27)=y
Step-by-step explanation:
To find an equation of a line, you use the formula mx+b=y
M=slope
x=x cooridnates
y=y coordinates
b=y intercept
Slope:
You use the formula y2-y1/x2/x1 to find slope.
5-(-3)/2-5
5+3/-3
8/-3
8
Y intercept:
8(5)+b==3
40+b=-3
b=-37
Equation: 8x+-37=y
The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line passes through each pair of points (5,-3), (2,5)
We know that, the equation of a line passing through two points (x1, y1) and (x2, y2) is given by,
(y-y1) = (y2-y1)/(x2-x1)(x-x1)
Where, (y2-y1)/(x2-x1) is, representing the slope of the line.
Here, x1 = 5, x2 = 2 and y1 = -3, y2 = 5
Equation of the line =
(y+3) = (5+3)/(2-5)(x-5)
y+3 = -8/3(x-5)
3y+9 = -8x+40
3y = -8x+31
Hence, The equation of the line that passes through each pair of points (5,-3), (2,5) is 3y = -8x+31
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The points (14,22) and (49,77) form a proportional relationship. Find the slope of the line through
the points. Then use the slope to graph the line.
The slope is
Answer:
Step-by-step explanation:
The slope is the change of y over the change of x.
the change of y:77-22=55
the change of x:49-14=35
55/35 simplified is 11/7
Here's a graph of the line segments connected on desmos:
your question does say to graph a line though, so add arrows instead of dots in my screenshots shown
Why is it important to have a plan for proof before writing the proof? Explain why it helps and what can happen without a plan for proof. *WILL GIVE 15 POINTS TO BEST ANSWER*
Answer:
The reason why it helps to have a plan of proof before writing the proof is that the proof plan is the collection of recollected knowledge about the question that will ensure that the required proof is achieved
The proof plan is equivalent to a virtual construction, consisting of the required parts and how the parts fit together, that obeys or satisfies the actual conditions when the written, step by step on paper
Without a proof plan, the required parts of the proof and therefore how the parts will fit to provide the proof will be absent as well as the non required parts written down to provide a proof without a plan can be confounding
Step-by-step explanation:
For Anthony’s birthday, his mother is making cupcakes for his 12 friends at his daycare. The recipe calls for 3 1/3 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony’s mother has only 1 cup of flour. Is there enough flour for each of his friends to get a cupcake
Answer:
No, there is no enough flour for each of his friends to get a cupcake
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ This recipe makes 2[tex]\frac{1}{2}[/tex] dozen cupcakes
∵ Each dozen contain 12 cupcakes
∴ The number of cupcakes can the recipe make = 2[tex]\frac{1}{2}[/tex] × 12
∴ The number of cupcakes can the recipe make = 30 cupcakes
∵ The recipe calls for 3[tex]\frac{1}{3}[/tex] cups of flour
→ That means 3[tex]\frac{1}{3}[/tex] cups of flour can make 30 cupcakes
∴ 3[tex]\frac{1}{3}[/tex] cups of flour makes 30 cupcakes
∵ Anthony’s mother has only 1 cup of flour
→ By using the ratio method
→ flour : cupcake
→ 3[tex]\frac{1}{3}[/tex] : 30
→ 1 : x
→ By using cross multiplication
∵ 3[tex]\frac{1}{3}[/tex] × x = 1 × 30
∴ 3[tex]\frac{1}{3}[/tex] x = 30
→ Divide both sides by 3[tex]\frac{1}{3}[/tex]
∴ x = 9
∵ x represents the number of cupcakes
∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour
∵ Anthony has 12 friends at his daycare
∵ The number of the cupcakes = 9
∴ The number of cupcakes is not enough for each of his friends to
get a cupcake
y+1=1/2(x-8) in standard form- pls explain
At a clearance sale, Jolissa bought a jacket that was marked down 60%. The regular price of the jacket was $89. How much did she pay for the jacket?
Answer:
35.60
Step-by-step explanation:
Multiply the original price $89 times the mark down percentage 60%
You get 53.40, then subtract it from 89.
Answer:
She paid $35.60 for the jacket.
Step-by-step explanation:
A salesperson's commission rate is 4%. What is the commission from the sale of $37,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission?
Answer:
The earnings will doubleStep-by-step explanation:
Step one:
given data
we are told that the sales person's earnings is 4% of the sales made.
given that the sales made is $37,000 worth of furnaces.
Step two:
we want to find 4% of $37,000
=4/100*37000
=0.04*37000
=1480
hence for $37,000 the earning will be $1480.
Now suppose sales is doubled that is 37000*2= 74000
we want to find 4% of $74,000
=4/100*74000
=0.04*74000
=2960.
the earnings is $2960.
So if sales doubles the earnings will double
Karen has 560 friends and family on social media of the friends, 50% are from high school, and 30% are from her after school job. The rest are family
members
How many family members does Karen know on social media?
Answer: 112
Step-by-step explanation:
560/5
blueberries cost $4.00 per pound
how many pounds of blueberries can you buy for $1.00
Answer:
4
Step-by-step explanation:
4.00 divided by 1.00 = 4
En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Downtown y Midtown?
2.6 km
90 grados
2.1 km
1.5 km
Simplify the expression.
4² . 4². 4²
Answer:
16.16.16
Step-by-step explanation:
please let me know if I'm wrong
but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16
HELP PLEASE WILL GIVE BRAINLY
Answer:
The constant of proportionality is 3
Step-by-step explanation:
Use equation y=kx where k is constant of proportionality.
y/x is it. so 12/4=3
3
Given the exponential function [tex]f(x) = -2(0.8)^x[/tex], what is the value of f(x) when x =0?
Work Shown:
[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]
In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.
Over the next 12 months you have to read more than 48 books you have to read x books per month the inequality 12x >48 solve this inequality to find the number of books you have to read per month
Answer:
4
Step-by-step explanation:
12x>48 so divide 48 by 12 to solve for x so x is 4
Who’s trying to help?
Answer:
the first one is 185 over 24 in the exact form
Step-by-step explanation:
please please help me
Answer:
what are you doing
Step-by-step explanation:
Pls help!!!!
f(x) = sqrt(6x) g(x) = sqrt(24x) Find (fg)(x) . Assume x >= 0 .
Answer:
The answer is letter D.
If we solve the given function when the functions are f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex] then we will be able to find it equal to 12x.
What is a function?
A function is a relation in which each element of x is having a value in the y element. It is written in the form of f(x).
How to solve two functions?f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex]
(f.g)x=f(x)*g(x)
=[tex]\sqrt{6x} *\sqrt{24x}[/tex]
=[tex]\sqrt{6x}*2\sqrt{6x}[/tex]
=2*6x
=12x
Hence the value of (f.g)x is 12x.
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What is the slope of the line . For khan academy . Need answer immediately
Answer:
m = 2
Step-by-step explanation:
ANSWER ASAP FOR BRAINLIESTT
PLEASE HELP ASAP!!!
OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.
BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.
basically just show the work to find out what "b" would have to be in order for the
answer to be $5,000 i would appreciate it so much :) please help this is due today :(
Answer:
The company can manufacture 135 boxes of stuffed animals for $5000
Step-by-step explanation:
To find b, substitute $5000 for c(x), so
5000 = 20b + 2300Then subtract 2300 from both sides of the equation, so
5000 (-2300) = 20b + 2300 (-2300)2700 = 20bFinally divide both sides of the equation by 20, so
2700/20 = 20b/20135 = bTo check your answer substitute 135 in as b...
c(x) = 20(135) + 2300c(x) = 5000i need help plzzzzsww
it's the third one, slope -1 y intercept 3
Please help !!! I don't understand
Answer:
P=160+6x
Q=x+40
H=4x-5
P+Q+H=180...P=61.82
In a certain city, Uber charges a $5 flat fee for picking you up, and then charges $0.75 per mile.
a.) Write a function that describes your cost for riding m miles.
Answer:
f(c) = 5 + 0.75m
Step-by-step explanation:
f(c) = 5 + 0.75(m)
where "c" is cost;
and "m" is distance in miles
5x + 2y = 9
-6x - 2y = -14
Answer:
What are you suppose to be finding? I am confused finding the value of x??
Step-by-step explanation:
Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. How many cups of punch will she have if she uses 6 cups of orange juice?
Answer: 20
Step-by-step explanation:
From the question, to make the punch recipe, the following are needed:
Ginger Ale - 40%
Orange Juice - 25%
Pineapple juice - 20%
Sorbet - 15%
Since we are told that Elise doesn't like sorbit, so she omits that ingredient and adds 5 percent to each of the other ingredients. The the new percent will be:
Ginger Ale - 40% + 5% = 45%
Orange Juice - 25% + 5% = 30%
Pineapple juice - 20% + 5% = 25%
Sorbet - 15% - 15% = 0
To get the total cups of punch that'll be used, let it be represented by y. Therefore,
30% of y = 6
30/100 × y = 6
0.3 × y = 6
0.3y = 6
y = 6/0.3
y = 20
Therefore, she'll have 20 cups of punch.
Line q has a slope of 4 and line r has a slope of –1/4.
They are:
Select one:
a. parallel
b. the same
c. perpendicular
d. supplementary
e. none of the above
Answer: c) perpendicular
Perpendicular slopes always multiply to -1. This is assuming neither line is vertical.
Before enrolling in a typing course, Maria could type 35 words per minute. At the end of the course, she could type 77 words per minute. Find the percent of increase in her typing rate
Given:
Initial speed of typing = 35 words per minute
At the end of the course her typing speed = 77 words per minute
To find:
The percent of increase in her typing rate.
Solution:
We know that,
[tex]\text{Percent of increase in her typing rate}=\dfrac{\text{New speed - initial speed}}{\text{Initial speed}}\times 100[/tex]
[tex]\text{Percent of increase in her typing rate}=\dfrac{77-35}{35}\times 100[/tex]
[tex]\text{Percent of increase in her typing rate}=\dfrac{42}{35}\times 100[/tex]
[tex]\text{Percent of increase in her typing rate}=120\%[/tex]
Therefore, her typing rate is increased by 120%.
elements of {1,2,3,4,6,12} and {4,6,8,10}
Step-by-step explanation:
A ={1,2,3,4,6,12}
B={4,6,8,10
[tex]A \cup B=[/tex]{1,2,3,4,6,8,10,12}
What is the value of -4° +(6-2)(-6)?
434
-2
34
Answer: Um, –28?
Step-by-step explanation:
Question is attached!!
Step-by-step explanation:
so sorry
don't know but please mark me as brainliest please
Identify the Y-intercept
3.5
B
1.5
0.5
2 x
-0.5
Answer:
D
Step-by-step explanation: