1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lakkis [162]
2 years ago
5

6x – 3y = 8

Mathematics
1 answer:
Nat2105 [25]2 years ago
4 0

Answer:

Step-by-step explanation:

<em>The linear equation where:</em>

\large \boldsymbol {}  \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}

Solution :

\displaystyle \sf \#13. \\\\   6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3}  \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept  =-2\frac{1}{3} \\\\-------------      

 \sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5}  \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept  =-0,4 \\\\---------------  

    \dispalystye \sf \#15. \\\\ -6y+4x=8  \  |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3}  \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3}  \\\\ y-intersept  = -\dfrac{4}{3 }\\\\ -----------------

\sf \#16   .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3}  \\\\slope =1 \\\\y-intersept =3

You might be interested in
What is the slope.of (-3,1) and (2,-2)​
mote1985 [20]

Answer:

3/5

Step-by-step explanation:

m=3/5

slope---3/5

8 0
2 years ago
write an equation in slope intercept form for the line that is perpendicular to y=-1/4x+2 and passes through the points (-4,3)
PilotLPTM [1.2K]
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:

m1*m2=-1, and in this case:

-m/4=-1

-m=-4

m=4, so the slope of the perpendicular line is 4 so we have thus far:

y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"

3=4(-4)+b

3=-16+b

19=b, so our line is:

y=4x+19
8 0
3 years ago
Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
Zinaida [17]

Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0
3 years ago
The perimeter of the rectangle below is 120 units. Find the value of y.<br> 5y - 3<br> 4y
vladimir2022 [97]

Answer:

y =7

Step-by-step explanation:

2(5y-3)+2(4y) = 120 units

10y - 6 + 8y = 120 units

18y= 120+6

y = 126/18

y = 7

5 0
3 years ago
What is f(-2) for f(x)=1/2x^2
GarryVolchara [31]
Answer: 2

Steps:
f(-2) = 1/2x^2
f(-2) = 1/2(-2)^2
f(-2) = 1/2(4)
f(-2) = 2
7 0
2 years ago
Other questions:
  • Not sure on how to do this ?
    9·1 answer
  • Plez help
    15·1 answer
  • Hurry Please!
    14·2 answers
  • What is the missing value?
    7·1 answer
  • Skipper has $350 in his bank account. He needs at least $1200 to buy more dog bones. If he saves $25 a week, how many weeks unti
    6·1 answer
  • 2x + y = -8<br> 3x - 5y = -25<br><br> It’s substitution
    11·1 answer
  • Can you help plz 7 + 56 y
    8·2 answers
  • How many time can 2/3 go into 20
    13·1 answer
  • A mom of 3 is pushing a cart with 3 children and groceries totaling 1600 kg at an
    7·2 answers
  • Given the function g(x) = x2 + 10x + 20, determine the average rate of change of
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!