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? ​

Answer:

(100 + 25) / 5

125/5 = 25

18 x (32/16)

18 x 2 = 36

PEMDAS

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

Answer: b

Step-by-step explanation:

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

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.

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:

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

Because you have more education, you get better income.

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

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

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it’s the last one

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

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

Answer:

3,850

Step-by-step explanation:

have a good day!!

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:

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

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]

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]

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

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]

Answer:

6

Step-by-step explanation:

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

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

Answer:

what do you mean be more clear

Step-by-step explanation:

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!

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

Answer for question A:

Answer:

9

Step-by-step explanation:

8.547  =  9.000

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

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.

Answer:

ok, but where are the four questions?

Answer:

Hey mate.....

Step-by-step explanation:

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

Lol