Answers
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
[tex]y =m\cdot x +b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
[tex]b = y-m\cdot x[/tex]
If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:
[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]
[tex]b = -\frac{7}{3}[/tex]
Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
Related Questions
it takes avery 48 seconds to sprint 365 m. what is her average speed?
Answers
Answer:
7.6 meters a second
Step-by-step explanation:
Calculator
5x - 26 = x + 50, then the value of x i
Answers
Answer:
x=19
Step-by-step explanation:
work shown either above or below
5x-26=x+50
5x-x=50+26
4x=76
x=76/4
x=19
Henry makes $12.50 per hour for the first 40 hours he works in a week. For 5 points
each additional hour he makes $18 per hour. How much did he make if he
worked 44 1/2 hours last week? *
Answers
Answer:
He made $581 if he worked 44 1/2 hours last week
Step-by-step explanation:
Let us solve the question
∵ Henry makes $12.50 per hour for the first 40 hours
∵ For each additional hour, he makes $18 per hour
→ We need to find how much he made if he worked 44 1/2 hours
→ At first, find his earning for the first 40 hours
∵ His earning in the first 40 hours = 40 × 12.50
∴ His earning in the first 40 hours = $500
→ Find how many hours he worked after the first 40 hours
∵ 44 1/2 - 40 = 4 1/2 hours
∴ He worked 4 1/2 hours over the first 40 hours
→ Find his earning from them
∵ His earning in 4 1/2 hours = 4 1/2 × 18
∴ His earning in 4 1/2 hours = $81
→ Now add the two amounts to find his total earning
∵ His total earning = 500 + 81
∴ His total earning = $581
∴ He made $581 if he worked 44 1/2 hours last week
I=prt solveing for t
Answers
Answer:
t= i/pr
Hope this helps!!!!!!!!
A department store buys snow boots from a supplier for s dollars. The store manager decides on a 33% markup.find the retail price of snow boots, when the department store pays $20 to the supplier for each pair of snow boots?
Answers
Answer:
$26.60
Step-by-step explanation:
Hope it helped
Here is a riddle:
I am thinking of two numbers that add up to 5.678.
The difference between them is 9.876.
What are the two numbers?
Answers
Answer:
[tex]the \: two\: numbes \: are : \\ 7.777 \: and \: - 2.099[/tex]
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be : x \: and \: y \\ x + y = 5.678.....eq(1) \\ x - y = 9.876 .....eq(2)\\ x = 9.876 + y....from \: eq(2) \\ y = 5.678 - x....frm \: eq(1) \\ eq \:...y \: in \: terms \: o f\: x : \\ x = 9.876 + 5.678 - x \\ 2x = 15.554 \\ x = 7.777 \\ y = 5.678 - x = y = 5.678 - 7.777 \\ y= - 2.099.[/tex]
20 x (-124) x 5 find the value
Answers
Answer:
-2480
Step-by-step explanation:
multiplying a positive and a negative equals a negative. -20 (20x124)
multiply the numbers and -2480 is the answer
Please help :) (4-3i)(-3+6i)-(2-i)
Answers
Pls mark brainliest
Answer:
4+34i
Hope this helps!!!!!!
answer plss. Money here.
Answers
Answer:
Both angles are equal because they are corresponding so:
2x + 5 = 3x - 7
2x + 12 = 3x
x = 12
This summer, 1\3 of children will ride
bikes. An additional 1/4 of children will ride
scooters. What fraction of children will
ride bikes and scooters?
Answers
Answer:
ok so
1/3×1/4=1/12
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
Fractions must have common denominators
1/3= 4/12
1/4=3/12
4/12+3/12=7/12
12/12-7/12=5/12
could someone please help me? thank you!
Answers
Answer:
B: Two rays
Step-by-step explanation:
with a common endpoint
Answer:
If there isn't a specific type of angle it is B.
Step-by-step explanation:
Hope this helps!! And just to be safe can you show more of the pic?
a common mistake people make when working with exponents is to multiply the base by the exponent instead of raising the base to the power of the exponent. For instance, they would mistakenly say that 2^3 is 6 (because 2x3=6) when the correct answer is actually 8 (2x2x2=8) are there any pairs of numbers for which this mistake in thinking actually gives the correct answer? In other words are there any solutions to the equation a^x=a X what are the?
Answers
Answer:
The pair of number are (2 and 1), (2 and 2)Step-by-step explanation:
The pair of number that makes the expression [tex]a^x = ax[/tex] true are 2 and 2 as shown:
where a = 2 and x =2
2² = 2*2
2² = 4
and:
2*2 = 4
Hence 2² = 2(2) = 4 making the expression [tex]a^x = ax[/tex] true for both pair of numbers
Also the number pair 1 and 2 makes the expression correct as shown:
[tex]2^1 = 2(1)\\2 = 2 (true)[/tex]
How do I solve −6 + 9(8 − 2b) using distributive property or combining like terms.
Answers
Answer:
66-18b
Step-by-step explanation:
-6+72-18b
66-18b
solving for b
b=3.66 or 3 and 2/3
what is 9/12 in simpleist form
Answers
Answer:
It's 3/4
Step-by-step explanation:
The Greatest Common Factor is 3.
divide that by 9 and 12, 9 divided by 3 is 3
12 divided by 3 is 4.
Please help me I actually don’t know the answer
Answers
Answer:
the % sign on 3 thats true
Answer:
2. C, D, and A
3. True
Step-by-step explanation:
WILL MARK AS BRAINLIEST BUT PLEASE HURRYY!!!!
What is the y-intercept of a line that has a slope of –3 and passes through point (0, -7)?
O-7
O-3
ОО
O4
Answers
Answer:
(0, -7)
Step-by-step explanation:
y = -3x - 7
y -int - > (0,-7)
hope this helps!
To make a base for a jar of handmade cream, Barbara needs 3 tablespoons of coconut butter for every cup of beeswax. Which statement below is TRUE about this scenario?
a) The ratio of a jar of handmade cream to coconut butter is 3:1.
b) The ratio of beeswax to coconut butter is 3 to 1.
c) The ratio of beeswax to coconut butter is 1 to 3.
d) The ratio of coconut butter to beeswax is 1 to 3.
Answers
Answer:
c) The ratio of beeswax to coconut butter is 1 to 3.
Step-by-step explanation:
A ratio can be defined as a mathematical expression used for the comparison of two (2) values or quantities.
Basically, a ratio gives the relationship between two values or quantities by comparing them together. It is typically written in the form; x : y
In this scenario, to make a base for a jar of handmade cream, Barbara needs 3 tablespoons of coconut butter for every cup of beeswax. The statement which is true about this scenario is that, the ratio of beeswax to coconut butter is 1 to 3.
Given the following data;
Amount of coconut butter (X) = 3 tsp
Amount of beeswax (Y) = 1 cup
The ratio of beeswax to coconut butter is;
Y : X = 1 : 3
Hence, the ratio of beeswax to coconut butter is 1 to 3.
There is an initial fee to join a gym, plus a
monthly charge. The table represents the linear
relationship between the total cost of joining
the gym and the number of months a person is
a member. What is the y-intercept of the line,
and what does it represent in this situation?
I took a pic of the table
Answers
Answer:
the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.
Step-by-step explanation:
Using, the formula y1+y2/x1-x2,
Choosing any two points, make the expression:
1-2/125-155
simplify:
-1/-30
the slope of the equation is -1/-30.
to find y intercept, using the function y=mx+b, plug in the slope and one of the two points that you used:
y would be 2
x would be 155
b is the y intercept
2= -1/-30•155 + b
2=5⅙+b
b = - 3⅙
the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.
What is the vertex form of the function y = x2 + 8x – 3
Answers
y=(x+4)^2−19
Answer:
the answer is y=(×+4)^2 -19
REPOST
List the fractions and decimals from least to greatest.
13. 0.5, 3/16, 0.75, 5/48,
0.5, 1/5, 00.35, 12/25, 4/5
3/40 , -7/10 , -3/4, 8/10
-3/8, 5/16, -0.65, 2/4
Answers
Answer:
5/48, 3/16, .5, .75, 131/5, .35, 12/25, .5, 4/5-3/4, -7/10, 3/40, 8/10-.65, -3/8, 5/16, 2/4Step-by-step explanation:
5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious1/5 = .2 | 12/25 = .48 | 4/5 = .8-3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8-3/8 = -.375 | 5/16 = .3125 | 2/4 = .5The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, the two machines will have filled a certain number of water barrels at about the same time. What is that number of barrels?
A) 45 barrels
B) 50 barrels
C) 80 barrels
D) 90 barrels
Answers
Hoped I helped!
According to the graph, the number of barrels that the two machines would have filled at about the same time is; Option B; 50 Barrels
We are told that;
- Two machines fill water barrels
- One machine had filled 30 barrels before the faster machine started
- At a certain tile, they would have filled a number of water barrels at about the same time.
Now, from the graph, we see that;
The red line indicates the slower machine while the blue line indicates the faster machine.
Thus, the number of barrels they would have filled at about the same time is the number of barrels that corresponds to the point where both lines intersect each other.From the graph, the number of barrels at intersection point is 50 barrels.
Read more at; https://brainly.com/question/13808262
please Solve
9(x - 11) = 9
Answers
Answer:
9(x-11) = 9
9x-99 = 9
9x = 108
x = 108/9
thus,
x = 12
5x - 2 = 8 + 5y
Solve for y and show work.
Answers
The batting Wang Xiu Ying uses to fill quilts has a thermal conductivity rate of 0.030.030, point, 03 watts (\text{W})(W)left parenthesis, start text, W, end text, right parenthesis per meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis per degree Celsius (^\circ\text{C})( ∘ C)left parenthesis, degrees, start text, C, end text, right parenthesis.
Answers
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c
Given
K = 0.03W/m°C
Required
Convert K to W/cm°C
Since 1m = 100cm,
K = 0.03w/1×100cm°C
K = 3×10^-2w/10² cm°C
K = 3 × 10^-2w/10² cm°C
K = 3w× 10^{-2-2}cm°C
K = 3w×10^-4cm°C
K = 0.0003w/cm°C
Answer:
0.0003
Step-by-step explanation:
DID IT ON KHAN
and Since 1m = 100cm,
K = 0.03w/1×100cm°C
K = 3×10^-2w/10² cm°C
K = 3 × 10^-2w/10² cm°C
K = 3w× 10^{-2-2}cm°C
K = 3w×10^-4cm°C
K = 0.0003w/cm°C
Plz help on this math question Brainliest To first answer
Answers
Answer:
1. Angle 1 congruent to Angle 3, Angle 2 congruent to Angle 4 ( top row last box in answer choices)
2. Reflexive Property of Congruence
3. Angle DGF congruent to Angle DEF
Step-by-step explanation:
Opposite sides of a parallelogram are parallel , so angle 1 ≅ angle 3 and angle 2 ≅ angle 4 because they are alternate interior angles . By the reflexive property of congruence DF ≅ DF . Therefore , △ DGF ≅ △ DEF by the ASA congruence postulate . That means DE ≅GF and DG ≅EF by CPCTC .
What is the.least common multiple of 2 and 6
Answers
Answer:
2
Step-by-step explanation:
Answer:
The answer to this is: The Least Common Multiple of 2 and 6 is 6.
Step-by-step explanation:
Hope this helps :)
is square root of 4 a irrational numbers
Answers
Answer:
yes
Step-by-step explanation:
if a even number can go into a even number a even number of times its a irrational number
Answer: no it is rational
Step-by-step explanation: A number is only irrational if it has endless decimals after it.
3x+2x?? solve for x
btw any cute guys on here??
Answers
Answer:
=5x
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
3x+2x=5x
5x÷5 x=1
this is the right answer
GIVING BRAINLIEST!!! PRETTY SIMPLE QUESTION!!!
Mei subscribed to a magazine at a rate of $24 for 12 issues. When she placed her order, Mei used a coupon that added 3 free bonus issues to her subscription. How did the coupon impact the cost per issue of Mei’s subscription?
O The coupon lowered the cost per issue by $0.40.
O The coupon lowered the cost per issue by $1.38.
O The coupon raised the cost per issue by $0.13.
O The coupon raised the cost per issue by $0.67.
Answers
Answer:
The coupon raised the cost per issue by $0.67.
Step-by-step explanation:
Martin is an after school math tutor . He noticed that 6 people still needed help on 2/5 of the tutoring session time was left.Scince each person was given an equal amount of time, martin wrote the expression below to find the fraction or the toutoring session each person who still needed help would be allotted. 2/5 divided by 6 which expression is equivalent to martins expression?
Answers
Answer:
6/15 ÷ 6
Step-by-step explanation:
Martin is an after school math tutor
He noticed that 6 people still needed help on 2/5 of the time that was left
Martin wrote the expression
2/5 ÷ 6
This expression can be used to determine the number of persons who still need help
Therefore the expression that is equivalent to Martin's expression is
= 6/15 ÷ 6
Using 3 to divide both 6 and 5 will give
2/5 ÷ 6
Hence the expression which is equivalent to Martin's expression is 6/15 ÷ 6
Answer:
A 6/15 divided by 6 on edge