Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).

Answers

Answer 1

Answer:

[tex]y=-3x+8[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]y = 4 - 3x\\y = -3x+4[/tex]

Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].

Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug in the given point (1,5) and solve for b:

[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+8[/tex]

I hope this helps!


Related Questions

The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?

Answers

The midpoint of a segment can be found using the formula as follows:

mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)

How to find the mid point of a segment?

The midpoint is the middle point of a line segment.

In other words, the midpoint of a segment is the point on that line segment that divides the segment into two congruent segments.

The mid point of a segment can be represented mathematically as follows:

Hence,

mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)

learn more on midpoint here:https://brainly.com/question/17192794

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Translate and solve: Three-fourths of p is 18.

Answers

hi <3

just form a quick equation:

3/4p = 18

divide both sides by 3/4 to get your answer:

p = 24

hope this helps :)

Mackenzie purchased a ticket to the local music festival for $25. The ticket
includes entry and access to up to 3 events at the festival. Each additional
event costs $6. The total cost for attending x events is given by the
functions T(x) and E(x).
T(x) = 6(x-3) + 25, where x>3
E(X) = 25, where 0 sxs3

Answers

After a small search, I've found that we want to find the inverses of both functions. We will find that E(x) does not have an inverse function, and the inverse function of T(x) is h(x) = x/6 - 1/6

Here we have a piecewise function:

T(x) = 6(x-3) + 25  if x > 3

E(x) = 25    if 0 ≤ x ≤ 3

First, remember that two functions f(x) and g(x) are inverses if:

f(g(x)) = x

g(f(x)) = x

From that definition we can see that E(x) does not have an inverse, because for any function g(x), we will have:

E(g(x)) = 25

So E(x) can't meet the condition.

Now let's analyze the function T(x)

T(x) = 6(x-3) + 25  

We can rewrite it as:

T(x) = 6x - 6×3 + 25

T(x) = 6x + 1

Note that T(x) is a linear equation, so the inverse will also be a linear equation. Let's assume that the inverse is h(x) = ax + b

We will have:

T(h(x)) = 6×h(x) + 1 = 6(ax + b) + 1  

Now, if these are inverses, we have:

6(ax + b) + 1 = x

6ax + 6b + 1 = x

Then we must have:

6b + 1 = 0

6ax = x

From the first equation, we can get:

6b + 1 = 0

6b = -1

b = -1/6

From the second equation we have:

6ax = x

6a = 1

a = 1/6

Then:

h(x) = x/6 - 1/6

And this is the inverse function of T(x)

If you want to learn more, you can read:

https://brainly.com/question/10300045

-2y-2 pls solve
pls hard for me

Answers

Answer:

−2(y+1)

Step-by-step explanation:

factor ..................

An Olympic diver jumps off of a platform that is 10 meters high. The diver goes 2 meters underwater after a dive. How far is it from the starting point at the top of the platform to the depth under water?​

Answers

Answer:

12 meters far.

Step-by-step explanation:

The question translates to 10+2. The word problem states that the height of the platform is 10 meters. That means we can say that he'd have already traveled 10 meters down when he dived. And the problem also states that the diver goes two meters under the water, meaning that he had traveled 2 meters, in addition to the 10 meters. And so, we add the 10 and 2 to get 12 meters in total.

Solve M = 5rt^2- 2rv for v.

Can someone please help with this I’ll put it to 100 points

Answers

Answer:

(M-5rt^2)/(-2r) =v

Step-by-step explanation:

M = 5rt^2- 2rv

Subtract  5rt^2 from each side

M-5rt^2 = 5rt^2- 2rv -5rt^2

M-5rt^2 = - 2rv

Divide each side by -2r

(M-5rt^2)/(-2r) =- 2rv / (-2r)

(M-5rt^2)/(-2r) =v

Answer:

[tex]v = -\frac{M-5rt^2}{2r}[/tex]

Step-by-step explanation:

[tex]M = 5rt^2 - 2rv[/tex]

Switch sides

[tex]5rt^2-2rv=M[/tex]

Subtract [tex]5rt^2[/tex] from both sides

[tex]5rt^2 - 2rv-5rt^2= M -5rt^2[/tex]

Simplify

[tex]-2rv = M - 5rt^2[/tex]

Divide both sides by [tex]-2r[/tex]

[tex]\frac{-2rv}{-2r} =\frac{M}{-2r} -\frac{5rt^2}{-2r}[/tex]

Simplify

[tex]-\frac{M-5rt^2}{2r}[/tex]

Find the LCM of 315,420,525 using prime factorisation method with slove it​

Answers

[tex]\boxed{\sf \:\begin{cases}\\\begin{gathered} {\underline{{ \sf {\blue{\Large\bf \underbrace{ {\rm {\purple{\begin{array}{r | l}\large\rm{\red{ 5}}&\underline{315,420,525}\\\large\rm{\red{ 3}}& \underline{63,84,105}\\\large\rm{\red{3}}&\underline{21,28,35}\\\large\rm{\red{ 7}}&\underline{7,28,35}\\\large\rm{\red{2}}&\underline{1,4,5}\\\large\rm{\red{2}}&\underline{1,2,5}\\\large\rm{\red{5}}&\underline{1,1,5}\\&1,1,1\end{array}}}}} }}}}}\end{gathered}\\\end{cases}}[/tex]

LCM = 5 × 3 × 3 × 7 × 2 × 2 × 5

LCM = 6300

Hence, the LCM of 315 , 420 , 525 is 6300

Answer:

6300

Step-by-step explanation:

Prime factors of given numbers:

315 = 3*3*5*7420 = 2*2*3*5*7525 = 3*5*5*7

The LCM is:

LCM(315, 420, 525) = 2*2*3*3*5*5*7 = 6300

HELP PLEASE
Find the length of AB

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

WRITE Math Consider 7 X 10 x 10 x 10 x 10.
Write a pattern to find the value of the expression.

Answers

Answer:

I dont know if I'm wrong but I think its

Step-by-step explanation:

7×10=70

70×10=700

700×10=7000

7000×10=70000

I MIGHT BE WRONG AND IF I AM IM SORRY

Simplify the expression. 8c2 x –3c7

Answers

Answer:

the solution is (-2^3 · 3C^9)

Step-by-step explanation:

Step 1(8 • (c2)) • (0 -  3c7)Step 223c2 •  -3c7Step 3c2 multiplied by c7 = c(2 + 7) = c9

1) A spinner is divided into equal red, blue, green,
red, black, and yellow sections. What's the
probability of spinning green and then red.

Answers

Answer:

1/18

Step-by-step explanation:

Probability of spinning red=2/6=1/3

Probability of spinning green=1/6

probability of spinning green and then red=(1/6)*(1/3)=1/18

evaluate (3x)(5y) for x=-1, y=2

Answers

Answer:

-30 or 2 i dunno.

Step-by-step explanation:

[tex](3x)(5y) = (3 \times - 1)(5 \times 2) \\ - 3 \times 10 = - 30 \\ \\ or \: An \: other \: way \\ \\ (3x)(5y) = 15xy \\ 15( - 1)(2) = - 30[/tex]

I hope I helped you^_^

1=v/7-2 solve and right the equation of how u got that answer

Answers

Answer:

v = 21

Step-by-step explanation:

1 = v/7 - 2

~Add 2 to both sides

3 = 1/7v

~Multiply 7 to both sides

21 = v

Best of Luck!

Snell Co. performs and completes services for a client in May and bills the client $1,000. In June, the client makes a partial payment of $300 cash for the services. In July, the remaining $700 cash is paid. Determine the monthly revenue recorded in May, June, and July for this service

Answers

The financial statement performed by Snell Corporation shows how the revenue recognition provides financial statement users(i.e. the client that uses Snell Co. service in May, June, and July) with relevant information regarding the services associated with revenue from customer contracts.

In the given case, the Snell Co. service charge was hiked in May since the entire service income must be accounted for in May. The amount owed from a client is seen as a current asset on the balance sheet, and once the amount is received from a client, it is removed off from the current asset. Thus it is added to the zero dollars ($0) company's cash balance. In this case, the cash collected in June and July is not recorded as revenue.

We can conclude that the monthly revenue recorded from Snell Co. performance and services for the client in May, June, and July for this service is as follows:

Months                               Revenue

May                                     $1000

June                                       0

July                                         0

Learn more about revenue here:

https://brainly.com/question/19682087?referrer=searchResults

Revenue is only earned after the required obligation (goods delivered or service rendered) has been fulfilled. From the question, we noted that Snell Co. performs and completes services for a client in May hence the revenue was earned in May irrespective of when money was received for the service rendered.

As such revenue earned in;

May is $1,000

June is $0

July is $0

for the service rendered

Answers and step by step explanations please?(Just one example)​

Answers

Answer is 4x x 3y >e3£

2. Which group of numbers is in size order?

A. 3.10 - 3.20 - 3.09 - 3.55
B. 3.09 - 3.10 - 3.2 - 3.5
C. 3.10 - 3.20 - 3.09 - 3.55
D. 3.1 - 3.55 - 3.2 - 3.09

Answers

Answer:

B. 3.09-3.10-3.2-3.5 is the answer

3 hundreds + 7 hundreds in standard form

Answers

1000 777 + 55 = 171 standard special

help with this problem plz

Answers

Answer:

22

Step-by-step explanation:

All thats need to do in this problem is add both line lengths to find the length of FH.

8 + 14 = 22

Best of Luck!

Multiply (2a-5)(4a-7) Simplify your answer

Answers

[tex](2a - 5)(4a - 7)[/tex]

[tex]2a(4a - 7) - 5(4a - 7)[/tex]

[tex]8 {a}^{2} - 14a - 20a + 35[/tex]

[tex]8 {a}^{2} - 34a + 35[/tex]

Step-by-step explanation:

( 2a - 5 ) ( 4a - 7 )

2a ( 4a - 7) - 5 ( 4a - 7 )

8a² - 14a - 20a + 35

8a² -34a + 35

13. (x + 5) +(4.x - 7)
+

Answers

Answer:

[tex]5x - 2[/tex]

Step-by-step explanation:

[tex](x + 5) + (4x - 7)[/tex]

[tex]x + 5 + (4x - 7)[/tex]

[tex]x + 5 + 4x - 7[/tex]

[tex]5x + 5 - 7[/tex]

[tex]5x - 2[/tex]

HELPP its hard this is too hard for Shay ( my name)

Answers

Answer:

ok

Step-by-step explanation:

yeet

Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.

Answers

Answer:

5/8 or 0.625 or 62.5%.

Step-by-step explanation:

20/32       Divide top and bottom by 4:-

= 5/8.

Any mathematics genius around. To solve this question.. am giving the brainliest

Answers

Well
It is in the form of a/b + b/a = (a sqr + b sqr)ab

Substitute
(Sin sqr theta + cos sqr theta) +2 cos theta + 1. 2 + 2cos theta
———————————————————————— = ————————-
Sin theta(1+cos theta). Sin theta (1 + cos theta)

2(1+ cos theta)/sin theta(1 + cos theta). {1 + cos theta cancelled}
2/sin theta. Hope it helps :}

Please help me with this Geometry problem

Answers

TS = 26 but i don’t know how to explain

What are the solutions of the equation? X^2-16/25=0
x= 4/25 and x =-4/25
x = 8/25and x =-8/25
x = 16/25and x = -16/25
X =4/5 and x=-4/5

Answers

Answer:

x=4/5 ,x=-4/5

Step-by-step explanation:

Equation:

x²-16/25=0

x²=16/25

x=+-√16/25

x=+-4/5

Note:if you need to ask any question please let me know.

if demand function is Qd=150+10p and supply function is Qs=300-2p, find the equilibrium price.​

Answers

Answer:

[tex] qd = qs[/tex]

150+10p=300-2p

10p+2p=300-150

Step-by-step explanation:

12p=150

P=150÷12

P=12.5

The equilibrium price is 12.5 or 13

Which answer shows three ways to write 2/3 as a ratio?

Answers

Answer:

2/3 can be wrtten in three ways

Step-by-step explanation:

1: 6/9

2. 4/6

3.20/30

How do you solve this problem?

Answers

Sorry can't help

can't see the whole question

Please help ASAP pleaseeee no links or fake answers

Answers

1) 50x30
2) 2000+409
3) 500+800

what is 63 divided by 1000

Answers

Answer:

0.063

Step-by-step explanation:

Answer:
0.063

Hope it helps:
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