determine the equation of the line that passes through points (-4,5) and has a slope of m = -3
Answers
Answer:
y=-3x-7
Step-by-step explanation:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of -3.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -3. So you can right away fill in the equation for a line somewhat to read:
y=-3x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=-3 × -4+b, or solving for b: b=5-(-3)(-4). b=-7.
Related Questions
One week the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and violin.
Answers:
Trumpet:
Clarinet:
Violin:
Answers
Answer:
Cost of Trumpets: $174
Cost of Clarinets: $149
Cost of Violins: $89
Step-by-step explanation:
Got it correct
I need help, can somebody plz help
Answers
Answer:
c
Step-by-step explanation:
how to write k/3 + 16 in words
Answers
Answer:
k divided by three plus sixteen
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $53,150. The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $24.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answers
Answer:
12x +53,150 = 24.5x (production cost = revenue )
53,150 = 12.5x (subtract 12x from both sides and then divide 53,150 by 12.5)
x= 4,252 books
Step-by-step explanation:
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices
Answers
Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
PLS HELP ASAP PLSS I ONLY HAVE 10 MINUTES
Answers
Answer:
$20 :)
Step-by-step explanation:
There's a pattern in the table of adding 20 each time, so subtract 20 from 40 to get the answer!
Your answer is B: $20.
(You can get to this answer by dividing the number of tickets by the cost.)
Hope this helps!
I WILL MARK BRAINIEST
PLEASE HELP ASAP
Answers
Answer:
2101
Step-by-step explanation:
Apply -12 to the x
-(-12)^3+3(-12)^2+5(-12)+1
Then Simplify
2101
I hope it's right
Find the perimeter and area of the polygon
Answers
Answer:
p= 76
A=338
Step-by-step explanation:
Perimeter: 15+18+18+8+17=76
Area:
15x18=270+(8x17/2)
270+68=338
A bar graph titled Internet Users has Region on the x-axis and People (millions) on the y-axis. Asia has 1,000, Europe has 500, North America has 250, and the Middle East has 100.
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answers
Answer:
Its D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
correct for Edge2020
Let xrepresent the number of bags of Takis Scorpion BBQ sold each day. • The number of bags of Valcano Queso Takis sold each day is 6 less than three times the number of Scorpion BBQ bags sold. The total number of bags sold is 250. What is x, the number of bags of Takis Scorpion BBQ?
Answers
Answer:
(3x-6)+x=250
x=64
There are 64 Takis Scorpion BBQ bags.
Consider the equations: y = 2x − 3 and y = −x + 6.
Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
A) (0, −3)
B) (1, −1)
C) (2, 1)
D) (3, 3)
Answers
Answer:
D
Step-by-step explanation:
I got that but hopefully, I'm correct. But I'm 100% sure its d
What is 60/7 converted to a mixed number and simplified
Answers
Answer:
847
Step-by-step explanation:
brainlest plzzzz
You put a barrier around the garden and cover it with a layer of mulch. The barrier costs $1.50 per foot. One bag of mulch covers 8 square feet and costs $6. How much do you spend
Answers
Answer:
I spent $14.5 on the garden
Step-by-step explanation:
This problem can be solved by simply adding the individual costs of the items put in the garden
Cost of the barrier:
We can get the cost of the barrier by first of all determining the perimeter of land the barrier covers. We have a hint in the question given: "One bag of mulch covers 8 square feet "
We can assume the shape of the garden to be a square and the area to be 8 square feet.
The length of the garden will be = [tex]\sqrt{area}[/tex] because the garden is a square.
Length = [tex]\sqrt{8} =2\sqrt{2}[/tex]
perimeter = [tex]4 \times 2\sqrt{2}=4\sqrt{2} feet[/tex]
The barrier costs $1.50 per foot. for [tex]4\sqrt{2}[/tex] feet, =$8.5
Cost of barrier = $8.50
Cost of Mulch
The cost of mulch = $ 6
Total sum of money spent = 8.5 +6 = $14.5
Therefore, I spent $14.5 on the garden
Answer:
149.02
Step-by-step explanation:
51.72 plus 97.33 is 149.02
Write the slope-intercept form of the equation of the line described.
Answers
Y = -1/2x + b
-3 = -1/2(-2) + b
-3 = 1 + b, b = -4
Y = -1/2x - 4
I believe A is the correct equation
Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?
Answers
Answer:
[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
Step-by-step explanation:
b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]
Area of one triangle
[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]
There are 4 colored triangles so total area of the triangles is
[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]
The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]
Graph
Y=3/4x - 1/2
Pleaseeeee help!!
Answers
HELP PLS IDK WHAT TO DO
Answers
Answer: hmmm i think u should multiply
Step-by-step explanation:
Answer:
gfbngfjhbfgnbfhbnng
Step-by-step explanation:
please answer please answer thank you
Answers
Answer:
367.62 in³
Step-by-step explanation:
The volume of a sphere is V = (4/3)πr³.
Here, that volume of the whole sphere is V = (4/3)(3.14)(5.6 in)³, or
V = 735.25 in³
A 'hemisphere' is half a sphere. Thus, the volume of each hemisphere shown here is
735.25 in³
---------------- = 367.62 in³ This just about matches the first answer choice.
2
How many 1 fourths are in 3 fourths?
Answers
Answer:
12
Step-by-step explanation:
This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.
Solve the Inequality
3x≤9
Answers
x< or = 9/3
x< or = 3
Answer:
x ≤ 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3x ≤ 9
Step 2: Solve for x
Divide 3 on both sides: x ≤ 3Here we see that any solution x less than or equal to 3 would be a solution of the inequality.
which describes the correlation shown in the scatter plot ?
A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation
Answers
Answer:
It is B because it is negative correlation.
Step-by-step explanation:
Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.
It is B.
What’s 16.0+8.49
By showing work?
Answers
Answer:
24.49
Step-by-step explanation:
16.00
8.49
____
24.49
what is 1/4 divided by 5.
Answers
Answer: 1/20 or 20
Step-by-step explanation:
For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answers
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
A display in a grocery store has 120 pieces of fruit. Apples make up 3/5 of the display, and oranges make up 2/5 of the display. If 1/2 of the apples are green, how many green apples are there?
Answers
Answer:
36 green apples
Step-by-step explanation:
First, you should divide 120 by 5 since it is 3:2 and the denominator is 5. Since each part there are 24 fruits, you should now multiply that number by 3 which is 72. Since 1/2 of the apple display are green, you would need to divided 72 by 2 which gets you the answer of 36 green apples.
HELP ASAP ILL GIVE BRAINIEST
Answers
Answer:
(1,-3)
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
the solution is where the two lines intersect. the point of intersection is (1,3). the x corrdinate in (1,3) is 1:)
100 POINTS PLS HELP
2 5.2.3 Quiz: Canceling Units
Question 2 of 15
In converting 105 seconds to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 seconds in 1 minute.
Answer here
Answers
Percent equations I need help plzzz here is the question blank % of 6,000 = 4,800
Answers
Answer:
20%
Step-by-step explanation:
20% of 6000 = 4800
If I helped you, can you mark me brainliest please?
The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -1.3 for its weight, how much does it weigh? Write your answer as a complete sentence.
Answers
Answer:
4.78 pounds
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 9.2 pound
σ is the population standard deviation = 3.4 pounds
z = 1.3
We are to find x
Hence,
-1.3 = x - 9.2/3.4
Cross Multiply
-1.3 × 3.4 = x - 9.2
-4.42 = x - 9.2
x = -4.42 + 9.2
x = 4.78 pounds.
Therefore the weight of the cat is 4.78 pounds
Which of the following lines is perpendicular to a line with a slope of 5?
y= 1/5x +5
y= 5x +5
y= -1/5x +5
y= -5x +5
Answers
Answer:
Y=-5x+5
Step-by-step explanation:
you just change it negative and if it was a fraction you'd change the sign the opposite still but.... flip the fraction :))