The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

A) y = 4x +7
Or
B) y = 4x + 19

Can you help? ​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A


Related Questions

Over a two week period you worked 7 1/2 hrs a day for 8 days. You earn $11.50 an hour. How much money did you earn in your paycheck after $3 was taken out for taxes?

Answers

Answer: [tex]\$687[/tex]

Step-by-step explanation:

Given

Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days

Money earned is $11.50 an hour

Total working hours

[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]

Money earned

[tex]=60\times 11.50=\$690[/tex]

After-tax deduction

[tex]\Rightarrow 690-3=\$687[/tex]

Answer:

Step-by-step explanation:

3. Which equation is written in slope-intercept form?
2x + 3y =5
x = 4y - 7
y-3 = 2(x - 1)
y= 3x +2

Answers

y=mx+b is slope intercept form. it is y=3x+2 where 3/1 is the slope and 2 is the y-intercept.

The coordinates of point are (7, 4). Point is a reflection of point across the x-axis. In which quadrant will point W be located

Answers

Answer:

Point W will be located on the bottom right quadrant.

Step-by-step explanation:

The x variable becomes negative when reflected across the x-axis.

Answer:

The reflected point will be on the 4th qudrant.

Step-by-step explanation:

So, lets remember what each qudrant is. The first one is (+, +).

The secodn one is (+, -)

The third one is (-,+)

And the fourth one is (-,-)

So looking at this, we instantly know that the orginal point is on qudrant 1. Since our number is +7, +4.

Now we have to flip around the x axis. Well, to the left of the quadrant 1 is qudrant 2. To the bottom of qudrant 1 is qudrant 4. We clearly cannot go to the top or right since there arent any more quadrants, and the qudrant 3 is not accesable with our x and y values.

Remember. we arent going left, since that would be crossing the y axis. This means we have to go down, to the bottom.

What is below qudrrant 1? As I said above, that would be quadrant 4.

Answer:

Quadrant 4

Hope this helps!

What is the surface area

Answers

Answer: b

Step-by-step explanation:

B: is your answer!!!!!!!!

i dont understand The readers can best infer that both authors would agree which statement 1) Insect may inspire feelings if wonder and awe 2) Protecting all creatures in nature is important 3) Insect are best kept inside jars for observation 4) Observing insect is not interesting hobby​

Answers

Answer:

what do you mean be more clear

Step-by-step explanation:

Please help I will mark Brainiest for first and correct answer

Steven is making mini berry pies. For the filling, he mixes 1 pound each of raspberries, blueberries, and blackberries. Then, he scoops 6 ounces of the filling into each mini pie tin. If he wants to use up all of his filling, how many mini pies can he make?


Please help I will mark Brainlist for fastest and correct answer

Answers

Steven will be able to make 8 mini pies


16 + 16 + 16 = 48

48/6 = 8

Xander had $24, he spent 3/4 of it how much money does he have left? What is the common mistake? Write in (show your work)

Answers

Answer:

6. The common mistake is believing that the 3/4 money is remaining.

Step-by-step explanation:

Since Xander spent 3/4 of the money, you would need to multily 24 dollars by  3/4 and find amount spent. This would be 18. Then subtract 24 -18 to get an answer of $6

14cm
12 cm
22cm. Find the area.

Answers

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?​

Answers

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

You invest $1700  in account earning 8% annual interest compounded continuously write an exponential function for the amount in the account after T years

Answers

Good luck sweetheart

An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

How does compound interest works?

Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).

For this case, we're specified that:

Initial amount deposited = $1700Rate of interest = 8% annual = 0.08 (converted percent to fraction).

Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)

Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).

Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]

Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]

where P₀ is the initial amount (as amount at t = 0 is initial amount)

Thus, we get:

[tex]P_t = P(1+r)^t[/tex]

Here, putting P = 1700, r = 0.08, and t = T, we get:

[tex]P_T = 1700(1.08)^T[/tex]

Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]

Learn more about compound interest here:

https://brainly.com/question/11897800

For Greta's birthday party, her parents ordered 6 pizzas. If they cut the pizzas into sixths, how many pieces will there be? Choose the model that matches this problem.

Answers

Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

6 * 6

= 36 pieces of pizza

Find the 13th term of the arithmetic sequence -3x+7, -5x+3,−7x−1,...

Answers

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

Simplify the expression (x^4)^5(x^6)

Answers

Answer:

x^26

Step-by-step explanation:

Answer:

(x⁴)⁵ × (x)⁶ = x²⁶

Step-by-step explanation:

(x⁴)⁵ × (x)⁶

(x)⁴°⁵ × (x)⁶

(x)²⁰ × (x)⁶

x²⁰ × x⁶

x²⁰⁺⁶ = x²⁶

Thus, (x⁴)⁵ × (x)⁶ = x²⁶

-TheUnknownScientist

A metal block is delivered to a construction site. The block is in the shape of a rectangular prism.

what is the approximate length of the highlighted diagonal

A. 8.9 Feet
B. 11.6 feet
C. 12.3 feet
D 13.2 feet

Answers

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

Evaluating Expressions
Use the order of operations to help you solve.
67 - (8 X 6)
(100 + 25) = 5
18 X (32 +16)
67 - 48
125/5
19
-

Answers

Answer:

(100 + 25) / 5

125/5 = 25

18 x (32/16)

18 x 2 = 36

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

What is the prime factorization of -14x^4

Answers

Here are the real answers to this besides the other person’s

please help
will award brainliest for correct answer!
-thanks <3

Answers

Answer:

Step-by-step explanation:

I think it’s the last one

Can someone please answer all parts of this question with STEP BY STEP EXPLANATION? I'm struggling with this.

Answers

Answer for question A:

Please help!! Find the value of x and y

Answers

the value of "x" is 5 and the value of "y" is 12

what is the y and m and c in 2x + y = 1

Answers

......................

HELP WILL GIVE BRAINLESS Which choice is equivalent to the fraction below? (Hint: Rationalize the
denominator and simplify.)
2
√x + √x+ 2
2
A. VX + 1x + 2
B. FxVx+ 2
C. x + 2 - 3

Answers

Answer:

C. [tex] \sqrt{x + 2} - \sqrt{x}[/tex]

Step-by-step explanation:

[tex] \frac{2}{ \sqrt{x} + \sqrt{x + 2} } \\ \\ = \frac{2}{ (\sqrt{x} + \sqrt{x + 2}) } \times \frac{(\sqrt{x} - \sqrt{x + 2})}{(\sqrt{x} - \sqrt{x + 2})} \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ ({ \sqrt{x} )}^{2} - {( \sqrt{x + 2} )}^{2} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - {( x + 2)} } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ x - x - 2 } \\ \\ = \frac{2( \sqrt{x} - \sqrt{x + 2}) }{ - 2 } \\ \\ = - ( \sqrt{x} - \sqrt{x + 2}) \\ \\ \frac{2}{ \sqrt{x} + \sqrt{x + 2} } = \purple{ \bold{\sqrt{x + 2} - \sqrt{x} }}[/tex]

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

The answer isA

Because you have more education, you get better income.

Use your understandinh of rational functiosn to answer the followinh wuestions about the relationship of concert profit

Answers

Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Step-by-step explanation:

Given

[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit

[tex]c(x)=4750-125x.[/tex] --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:

[tex]T(x) = \frac{P(x)}{c(x)}[/tex]

[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]

Factorize

[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]

[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]

Rewrite as:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Explain what independent and dependent variables mean

Answers

Answer:

please give me brainlist and follow

Step-by-step explanation:

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

Which is the graph of the equation y - 1 =[tex]\frac{2}{3}(x-3)[/tex]

Answers

Answer:

Step-by-step explanation:

round 8.547 to the nearest whole number

Answers

Answer:

9

Step-by-step explanation:

8.547  =  9.000

8.547 rounded to the nearest whole number is 9

Solve for x.
5(x - 2) = 30

Solve for x.
9 - 3x = 1 + x

Solve for x.
-3 + x = 2(x+3)

Solve for x.
7 = 3x - 5

Solve for x.
5x + 8 = 3x - 2

Solve for x.
2x - 9 = x + 7

Solve for x.
3x + 3 = 4 + x + (-1)

Solve for x.
3(2x + 4) = -6

Answers

1. x= 8

2. x=2

3. x=-9

4. x=4

5. x= -5

6. x=16

7 x=0

8: x=-3

Hope this helps!

Answer:

x > -1

Step-by-step explanation:

Move the constant to the right

-3x  6 -3

Subtract the numbers

-3x < 3

Divide both sides of the inequality by -3 and flip the inequality sign

x> -1

solution:

x > -1

I need some help with these 4 questions

Answers

Answer:

ok, but where are the four questions?

Answer:

Hey mate.....

Step-by-step explanation:

Which questions are you even talking about???????

Lol

HI HELLO HELP ILL GIVE BRAINLIST OR WHATEVER

Answers

Answer:

6

Step-by-step explanation:

The base 2 logarithm of 64 is 6 or log264 = 6.

Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)

Answers

Answer:

3,850

Step-by-step explanation:

have a good day!!

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