Answers
Step-by-step explanation:
the general line equation is
y = ax + b
a is the slope of the line. it is always the factor of x expressed as ratio y/x. it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept (the y value when x = 0).
so, let's use the 2 given points to find a and b.
(3, 1) to (0, 10)
x changes by -3 units (from 3 to 0).
y changes by +9 units (from 1 to 10).
so, the slope a is 9/-3 = -3
and to get b we would simply pick one point and use its coordinates as x and y values and then solve for b. but the second point gives us already the solution, as its x coordinate is 0 (and therefore its y coordinate is b).
so, the line equation is
y = -3x + 10
Related Questions
Find the rate per minute
Answers
Answer:
2.67 rounded to the nearest hundredth
Step-by-step explanation:
8/3 = 2.67 est gallons per minute
gallon÷minutes=rate per minute
Find equivalent expressions for 4x+8−7+2x−3x−1.
Answers
3x
you just add everything
which function has an inverse is a function
Answers
Answer:
No function to look at. Please add the functions
Step-by-step explanation:
You are throwing a party for your friend. The caterer charges $60 per person. Fifteen guests have been invited, but you are not sure if all her friends will attend. assume that at least one person shows up to the party.
a) write an equation to represent this situation.
b) find the domain of this function.
c) find the range of this function.
Answers
Answer:
a.) write an equation to represent this situation
Step-by-step explanation:
"The original price of a bicycle was $375. now it is on sale for $295. what percentage of the original price was the markdown?"
Answers
Answer:
78.67%
Step-by-step explanation:
295 percent of 375 is 78.67%
295/375 x 100 = 78.67%
Mais Family Drinks a total of 15 gallons of milk every 3 weeks. How many gallons of milk does the family drink per week?
Answers
Answer:
5 per week
Step-by-step explanation:
5 + 5 = 10
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 0.25, 0.125, 0.0625, 0.03125.
What is the multiplicative rate of change of the function?
0.2
0.25
0.5
0.75
Answers
Answer:0.5 or C
Step-by-step explanation:
A network of roads connects locations T, O, W, N, and S as shown. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?
Answers
A network of roads is a blueprint of how each towns or cities are linked by a path or road. So that in the given question, the different routes to travel from T to W with respect to the given conditions are:
i. TNW
ii. TSW
iii. TOW
iv. TOSW
v. TNSW
vi. TNSOW
vii. TOSNW
viii. TSNW
ix. TSOW
There are nine (9) different routes from T to W.
A route is either a path or road that links or connects two or more villages, cities or towns. Thus, a person can travel or be conveyed from one town to the other, or city (village) to another, depending of the road network. Road network is the cobweb of connecting roads among cities.
Considering the network of roads in the given diagram and the conditions for travelling from T to W, then the number of routes is nine. And these routes are:
TNWTSWTOWTOSWTNSWTNSOWTOSNWTSOWTSNWGiven that no part of the route should be retraced or going to any town more than once per route.
Visit: https://brainly.com/question/734196
Maxine deposits $1,000 into an account that pays 4.5% interest, compounded daily. What is her
balance at the end of six years?
Answers
Answer:
$1309.94
Step-by-step explanation:
The formula for the account value with interest compounded is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at rate r compounded n times per year for t years.
Using P=1000, r=0.045, n=365, t=6, we find the account balance to be ...
A = 1000(1 +0.045/365)^(365·6) ≈ 1309.94
Maxine's balance will be $1309.94 at the end of 6 years.
_____
Additional comment
In most 6-year periods, there will be two leap years. In a leap year, n=366 instead of 365. The difference between the effective standard year rate and the effective leap year rate can be seen in the 8th decimal place of the multiplier. The numbers in this problem only have 6 significant figures, so there is no need to try to account for leap years.
A proper accounting for the leap years would add just under 0.002 cents to the balance for a $1000 investment. If the original deposit were $1,000,000, then a proper leap-year accounting would add 2¢ to the balance after 6 years.
While mining, Jason found a large metal bar that weighed 15 pounds. Jason was also able to determine that the bar had 6 pounds of tin. What percent of the weight of the bar was tin? Round your answer to the nearest whole number if necessary.
Answers
Answer:
Actually, it would be 21% or (by rounding) 20% because it's a whole number.
Step-by-step explanation:
What is Write this rate as a unit rate. 7/5 to 2/3
Answers
Answer: 1.4 ,0.667
Step-by-step explanation: 14/10 or 1 4/10
. A recording studio charges an initial fee of $50 to record an album. Studio time costs an additional $75 per
hour.
Write a linear model that represents the total cost of
recording an album as a function of studio time (in
hours).
Is it less expensive to purchase 12 hours of recording
time at the studio or a $850 music software program
that you can use to record on your own computer?
Explain.
Answers
Answer:
f(h)=75h+50
software porgram for $850
Step-by-step explanation:
f(12)=75(12)+50
f(12)=950
so ineed to figure out what is 20 pounds equvalent to but i forgot and now im stuck and i really need help.
Answers
Answer:
9.072 kilogrammes
Step-by-step explanation:
1 pound equals 0.453592
Multiply 20 pounds by 0.453592
20×0.453592=9.07184≈9.072
Answer:
320 ounces!!
Step-by-step explanation:
hope this helps
what is 91.7 divided by 13.1?
Answers
Answer:
7
Step-by-step explanation:
what is 2/5x3/4 in most reduced from
Answers
Answer:
3/
10
= 0.3
Step-by-step explanation:
Multiple: 2/5
* 3/4
= 2 · 3/5· 4
= 6/20
= 3 · 2/10 · 2
= 3/10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 20) = 2. In the following intermediate step, cancel by a common factor of 2 gives 3/
10
.
In other words - two fifths multiplied by three quarters = three tenths.
The required 2/5 x 3/4 in its most reduced form is 3/10.
In mathematics, reducing an expression to its simplest or most reduced form involves simplifying or canceling common factors or terms. This process is often applied to fractions, radicals, or algebraic expressions.
To multiply fractions, multiply the numerators and multiply the denominators:
(2/5) x (3/4) = (2 x 3) / (5 x 4) = 6/20
To simplify or reduce the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is 2:
6/20 = (6 ÷ 2) / (20 ÷ 2) = 3/10
Therefore, 2/5 x 3/4 in its most reduced form is 3/10.
Learn more about reduced form here:
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#SPJ6
6. Erin runs laps around a circular pond with a radius of 12 yards. She calculated the total distance she would run after ten laps around the pond. Is Erin's calculation correct? If not, correct her work. ( = (3.14) (12) (10) (= 37.68 (10) ( = 376.8 yards true or false
Answers
Answer:
False
Step-by-step explanation:
C=2πr times 10 laps
She did πr times 10 laps then multplied it by 10 again.
she needed to do 2π(12) times 10 which is equal to 754.
The calculation of the total distance run by Erin was calculated wrongly.
The total distance that Erin would run can be determined by multiplying the number of laps run by the circumference of a circle.
Circumference of a circle = 2πr
Where:
π = pi = 3.14 r = radius = 12 yardsCircumference of a circle = 2 x 3.14 x 12 = 75.36 yards
Total distance = 75.36 x 10 = 753.60 yards
To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
2+2+2+2+2= help jk loool:);):/:(
Answers
Answer:
i think its8 give me brainliest
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
What is mathematics
Answers
Mathematics includes the study of such topics as numbers, formulas and related structures, shapes and spaces in which they are contained, and quantities and their changes. There is no general consensus about its exact scope and its epistemological status.
Have a luvely day!
Answer:
Mathematics is the science and study of quality, structure, space, and change. Through abstraction and logical reasoning mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.
Step-by-step explanation:
It is a easy fun learning subject if it is studied with interest.
what is the answer for this question please
Answers
Answer:
6^2
Step-by-step explanation:
Answer:
[tex]6^{2}[/tex]
Step-by-step explanation:
=[tex]\frac{6^{7} }{6^{5} }[/tex]
=[tex]6^{7}[/tex].[tex]6^{-5}[/tex]
=[tex]6^{7-5}[/tex]
=[tex]6^{2}[/tex]
If you need to ask any questions, please let me know.What is an equation of the line that passes through the points (5, 5) and (-5, -7))?
Answers
Answer:
This is a problem of 2 equations with 2 unknowns.
A general equation of a line is y = mx + b, and in this case the unknowns I refer to are m and b.
Since 2 points on the line are given, I can plug one of those into the equation to come up with an equation in 1 unknown; then use the 2nd point to determine the last unknown.
So…using (5,2), 2 = 5m + b or b = 2 - 5m.
Now, using this value for b, I use the 2nd point (-5,7), as follows:
7 = -5m + 2 - 5m or -10m = 5, so…m = -1/2
If b = 2 - 5m, then b = 4 1/2
So the equation of the line Vikas is looking for is:
y = -1/2 x + 4 1/2
Step-by-step explanation:
please help math question
Answers
1.984102,-157.4747431.984102,-157.4747431.984102,-157.4747431.984102,-157.474743
Some one please help
Answers
Step-by-step explanation:
a:
g(10) = -3(10)+1
g(10) = -29
b:
g(x) = 16
-3x + 1 = 16
-3x = 15
x = -5
CHECK:
g(-5) = -3(-5) + 1
g(-5) = 15 + 1
g(-5) = 16
Hope that helps
PLEASE CAN SOMEONE HELP ME ASAP!!!!Use your calculator to work out the answer to (24.7 – 15.9)2 ÷ 2.752 correct to 2 decimal places.
Compare your answer with the estimate answer 9.
Answers
Answer:
6.40
i dont know what it meant by Compare your answer with the estimate answer 9.
Step-by-step explanation:
8.8*2÷2.752=6.40
What is an equation of the line that passes through the points (-3, 3) and (-6, 2)?
Answers
Answer:
3y=3x+ c
Step-by-step explanation:
-3= x1 and 3 = y1
-6= x2 and 2= y2
y2-y1/ x2-x1 = 2-3/ -6+3 = -1/-3 =1/3 (the gradient)
y =1/3x +c
multiplying both sides by 3
3y= 3x +c in the form of y= mx + c
M= y2-y1/x2-x1 = 2-3/-6-(-3) = -1/-3 = 1/3
Y= 1/3x+c
(NOW WE HAVE THE SLOPE AND WE CAN FIND THE Y-INTERCEPT BY REPLACING IN ONE OF THE GIVING POINTS)
3= 1/3(-3)+c
C=4
Final answer is y = 1/3x + 4
I put a picture
— PLEASE HELP
Answers
Answer:
https://mathschmidt.weebly.com/uploads/6/1/4/6/6146296/law_of_sines_+_cosines_homework_key_with_practice_test.pdf
Step-by-step explanation:
Answer
pythagorean theorem
Step-by-step explanation:
side AC to ^2 + side AB to ^2 = side BC to ^2
School lunches cost $14.55 per week. About how much would 4.5 weeks of lunches
cost?
Answers
Answer:
$65.475 ($65.48 rounded)
Step-by-step explanation:
The word "per" is usually a trigger-word for multiplication. So, we multiply.
[tex]14.55 * 4.5[/tex]
What's the size of each exterior angle if each interior angle of a polygon is 108°
Answers
Answer:
5 sided
Step-by-step explanation:
An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees.
Which is equivalent to
7y(y – 2) - 3y(2y +z)?
O 12y^2 - 4yz
O y^2 - 17yz
O 13y^2 - 11yz
O y – 11yz
Answers
Answer:
B
Step-by-step explanation:
it's the only one with y^2, which is found by 7y^2-6y^2
8.) What is the product of (x+8) and (x - 5) ?
a.
x2 + 3x - 40
b. x2 - 3x - 40
c. x2 + 11x - 40
d. x2 - 40
Answers
(x + 8)(x - 5)
= x (x - 5) + 8(x - 5)
= x² - 5x + 8x - 40
= x² + 3x - 40 (a)
Which fraction is closest to (-12) on the number line?
Answers
[tex]\huge\underline\mathtt\colorbox{cyan}{A.(-39/3)}[/tex]
[tex]\huge\bold{\purple{\bold{⚡Explanation(SimplifiedForm) ⚡}}} [/tex]
-39/3= -13 28/-2= -14-28/2= -14-26/-2= 13[tex]\huge\fbox\orange{S} \huge\fbox\red{I}\huge\fbox\blue{M}\huge\fbox\green{P}\huge\fbox\gray{L}\huge\fbox\purple{E}[/tex]
