Answer:
y = 2x-7
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
y-1 = 2(x-4)
Put into slope-intercept form:
y = 2(x-4) + 1
y = 2x - 7
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
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The complete question with the graph is given below.
which of the following is equivalent to 3(5+2i)-2(3-6i)^2
Answer:
can u show me which following?
Step-by-step explanation:
show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;
need help on these math questions. please and thank u
9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
Need help ASAP
Will mark you brainlist
Answer:
11.3 and more
Step-by-step explanation:
The temperature T(d) in degrees Fahrenheit in terms of the Celsius temperature d is given by T(d) = 9/5 * d + 32
The temperature C(v) degrees Celsius in terms of the Kelvin temperature by C(v) = v - 273
Write a formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature
It is not necessary to simplify
Answer:
[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]
Step-by-step explanation:
The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:
[tex]\displaystyle T(d)=\frac{9}{5}d+32[/tex]
And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:
[tex]C(v)=v-273[/tex]
We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.
So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:
[tex]\displaystyle T(C(v))=\frac{9}{5}(C(v)))+32[/tex]
Substitute:
[tex]\displaystyle T(C(v)) = F(v) = \frac{9}{5}(v-273)+32[/tex]
Therefore:
[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]
The demand d for a company’s product at cost x is predicted by the function
d(x) = 1200 – 8. The price p in dollars that the company can charge for the product
is given by p(x) = 2 + 1. Use the formula Revenue = price × demand to find the
revenue function for the product, in terms of price x
Answer:
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
Step-by-step explanation:
Given
[tex]d(x) = 1200 - 8x[/tex]
[tex]p(x) = 2x + 1[/tex]
Required
Find R(x)
We have that:
[tex]R(x) = d(x).p(x)[/tex]
This gives:
[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]
Expand
[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]
Open brackets
[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]
Collect Like Terms
[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
Which expressions are equivalent to the expression below?
-1/3 - (-4 + 1/6)
Select all that apply.
Step-by-step explanation:
(-2/6)+(24-1/6)
-2+23/6
21/6
Graphs that represent situations that may not have numerical values are Called?
write an equation of a line in point slope form that has a slope of 1/4 and passes through the point (-1, -8)
Point-slope formula: y-y1=m(x-x1)
To fill it in, m is our slope, 1/4. y1 is -8 and x1 is -1.
y+8= 1/4(x+1) This is the formula filled in. If you noticed, the (-) signs that were in the formula changed to (+). This is because (- -) can be changed into (+).
y+8=1/4x+0.25
y=1/4x+8.25
Your answer is y=1/4x+8.25
I hope this was helpful :) please consider giving me brainliest
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce. She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce. How many tons of coffee should Sarah produce, and what is the total cost of her coffee production
Answer:
Sarah should produce four tons of coffee and total cost for four ton is $6,000.
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Selling price per ton = $2,400
Cost of production is increasing by $600 for each ton.
So, Cost of production first ton = $600
Cost of production for second ton = $600 + $600 = $1,200
Similarly, Cost of production for third ton = $1,200 + $600 = 1,800
Cost of production of fourth ton = $1,800 + $600 = $2,400
Here, Sarah can produce coffee till selling price = cost of production.
As, cost of production of four ton = selling price, then Sarah can produce only four tons of coffee.
Total cost for four ton coffee = $600 + $1,200 + $1,800 + $2,400
= $6,000
Sarah can produce 4 tons of coffee and the total cost of the production is $6000 and this can be determined by using the arithmetic operations.
Given :
Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce.She can sell each ton of coffee for $2,400. The cost of producing her first ton of coffee is $600, and the second ton costs $1,200. Each additional ton of coffee costs $600 more to produce.The following steps can be used in order to determine the total amount of coffee (in tons) should Sarah produce and the total cost of her coffee production:
Step 1 - Remember that Sarah can produce coffee unitil selling price is equal to the cost of production.
Step 2 - According to the given data, each additional ton of coffee costs $600 more to produce.
Step 3 - From the above steps, it can be concluded that Sarah can produce 4 tons of coffee because the cost of 4 tons of coffee is equal to the selling price.
[tex]600\times 4 = $2400[/tex]
Step 4 - So, the total cost of producing four tons of coffee is:
Total Cost = 600+ 1200 + 1800 + 2400
Total Cost = $6000
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Which relationship describes angles 1 and 2?
adjacent angles
vertical angles
complementary angles
supplementary angles
Answer:
Vertical angles
Step-by-step explanation:
Have a nice day:)
Given: y = 3 x − 4 . For what value of x does y equal zero?
Solve
7W + 3 = 5W + 9
Answer:
W = 3
Step-by-step explanation:
7W + 3 = 5W + 9.
Get all the varibles onto one side, and get all the integers onto the other side, we get:
7W - 5W = 9 - 3.
Simplifing, we get:
2W = 6
W = 3.
7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.
Answer:
y=25,000(0.07)^t
Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.
The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperature in degrees Fahrenheit that is equivalent to 20°C
Answer:
68F
Step-by-step explanation:
Given data
The formula F = 1.8C + 32
we want to find F for C= 20°C
Substitute into the formula we have'
F = 1.8(20) + 32
F=36+32
F=68
Hence the value of 20°C in Fahrenheit is 68F
I dont even know how to explain this, but please help
Both Px + Qy = R and Tx + Uy = V have the same solution (2, 9), meaning the point (2, 9) lies on both lines such that x = 2 and y = 9 makes both equations true.
When you add these equations together, you get
(Px + Qy) + (Tx + Uy) = R + V
→ (P + T ) x + (Q + U ) y = R + V
so the first option is equivalent.
When you subtract the first equation from the second, you get
(Tx + Uy) - (Px + Qy) = V - R
→ (T - P) x + (U - Q) y = V - R
so the third option is also equivalent.
please help me
thank
Answer:B,C and E
Step-by-step explanation:
I have the answer but I don’t know how to show the work
Answer: 76.27 in squared
Step-by-step explanation:
Area of a rectangle: l x w
Area of a circle: (pi)r^2
Rectangle dimensions: 6 x (14-6)= 6 x 8
Circle: r=6
Add the area of the rectangle to the area of a quarter of the circle (Bc that’s all that’s there)
(6 x 8) + (1/4)(pi)6^2
=48+(1/4)(pi)(36)
=48+9(pi) or approximately 76.27 in squared
Answer:
Step-by-step explanation:
PLEASE ASAP 829283+749294(284+64304)-639562=
Answer:
use the calculator by doing this types of question
Answer:
48395590593
Step-by-step explanation:
calculator
Your class is in groups, working on an induction worksheet. One of the questions asks to prove that if n is even, then 8n is also even. Your group proves it, but you're then asked if the converse is also true. Your classmate suggests that it is. What would you say to explain how this suggestion is flawed, and how would you help correct them
Answer:
The answer is "this statement is not true".
Step-by-step explanation:
It is true because it can be achieved by using the initiation method. (Or at even a look, as n is still n=2m for the whole m, and the same number is 8n=8* (2*m)=2*(8*m). So it's confirmed !! )
Now the opposite declaration says, "If 8n would be an even amount then n is an even number", that's why the statement is not true.
An easy way of demonstrating why an argument also isn't valid is to show an example it against. Take into consideration the 24. 24=8*3. i.e. the shape is 8n, where it is n=3. Of course, 24 is also an equivalent number, but n=3 is an odd number here. So, we at least this one event, wherein the opposite statement could be sustained. (q.e.d).
Note:- "8n would be an even number per each integer n." is true since 8n=2*(4n), even for all integer n.
An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.
Answer:
The function that can be used in the online shopping club about its monthly revenue is:
[tex]R = -400x^{2} +7200x+70000[/tex]
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increaseHow the variable [tex]x[/tex] represents the price increase, we can do the formula below:
[tex](10000 - 400x) * (7+x)[/tex]In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:
[tex](10000 - 400x) * (7+x)[/tex]We operate the values:
[tex]70000+10000x-2800x-400x^{2}[/tex]Solve we can:
[tex]70000+7200x-400x^{2}[/tex]And organize:
[tex]-400x^{2} +7200x+70000[/tex]At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:
[tex]R=-400x^{2} +7200x+70000[/tex]Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 88 and -92
Answer:
The distance between them is 180 units
Step-by-step explanation:
Given
[tex]a = 88[/tex]
[tex]b = -92[/tex]
Required
Using absolute value, calculate the distance between them
The distance d is calculated as:
[tex]d = |b - a|[/tex]
Substitute values for a and b
[tex]d = |-92 - 88|[/tex]
[tex]d = |-180|[/tex]
[tex]d = 180[/tex]
It can also be calculated using:
[tex]d = |a - b|[/tex]
Substitute values for a and b
[tex]d = |88 - (-92)|[/tex]
Open bracket
[tex]d = |88 +92|[/tex]
[tex]d = |180|[/tex]
[tex]d = 180[/tex]
I don’t get this please solve it please
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not
x + 26 = 39; x =
I NEED HELP !!
Answer:
x=13
i accadently put 36, but you can still see how it happend
Step-by-step explanation:
Think bout brainliest thank you
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
PLEASE HELP 22 POINTS
Answer:
y = 15 m<a = 78 m<b = 68
Step-by-step explanation:
(5y+3) + (4y+8) --> 9y + 11
9y + 11 = 146
y = 15
plug in 15 into the equations for the angles and you get
m<a = 78
m<b = 68
According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of proportions, (b) relative risk. Which measure is more useful for describing the strength of association
Answer:
[tex]P_D=61.1*10^{-4}[/tex]
[tex]R_r=480[/tex]
Step-by-step explanation:
From the question we are told that
Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]
Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]
Generally the equation for probability of homicide is mathematically given as
[tex]P=\frac{R}{10^6}[/tex]
Generally the equation for probability of homicide in US is mathematically given as
[tex]P_U=\frac{62.4}{10^6}[/tex]
[tex]P_U=62.4*10^{-4}[/tex]
Generally the equation for probability of homicide in Britain is mathematically given as
[tex]P_B=\frac{1.3}{10^6}[/tex]
[tex]P_B=1.3*10^{-5}[/tex]
a)Generally the difference b/w the probabilities P_D is mathematically given as
[tex]P_D=P_U-P_B[/tex]
[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]
[tex]P_D=61.1*10^{-4}[/tex]
Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's
b)Generally the Relative risk is R_r is mathematically given as
[tex]R_r=\frac{P_U}{P_B}[/tex]
[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]
[tex]R_r=480[/tex]
What is 5/9 of 18? I need it for my homework.
Answer: 10
Step-by-step explanation:
(5 x 18) / 9 = 90/9 = 10
Answer:
Step-by-step explanation:
0p
2. Milk is on sale for 45 % off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
O $1.69
$2.06
$2.05
$2.10
Answer:
A-$1.69
Step-by-step explanation:
45% of 3.75 is 1.6875
1.6875 needs to be rounded to the nearest hundredth
So it would make 1.68
Answer:
2.05
Step-by-step explanation:
x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.
If LMN ~ YXZ and the perimeter of YXZ is 144 , Find XZ
Answer:
XZ=51
Step-by-step explanation:
In∆ LMN,
Perimeter = 72+52+68
=192
And using similar triangles, XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51
The length of XZ is 51 units.
What is similarity?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
Perimeter of YXZ is 144
So, In∆ LMN,
Perimeter = 72+52+68
=192
We know that both triangles are similar.
So, , XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51 unit
Hence, the length of XZ is 51 units.
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