MATHEMATICS HIGH SCHOOL

On day 1, Erica puts £1 in her bank. On day 2, she puts in £2, on day 3 she puts in £3 etc. How much money will she have after 100 days

Answers

Answer 1

Answer:

Answer:

5050

Step-by-step explanation:

There is a simple formula for this kind of problem where you have to find the sum of consecutive numbers 1 to n:

[n(n+1)] / 2

In this case n is 100 so,

[100(100+1)]/2

[100(101)]/2

10100/2

5050

You can also do this by brute force and just add all consecutive numbers to 100

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Find A ∩ (B ∪ C ). A = {2, 3, 5, 8} B = {3, 5, 7} C = {2, 4, 8}

Solve the proportion.

s+1/4 = 4/8
s=

Answers

Answer:

8 = 16

Step-by-step explanation:

1/4 = 4 /8

Cross multiply:

1 * 8 = 4 * 4

Simplifying

1 * 8 = 4 * 4

Multiply 1 * 8

8 = 4 * 4

Multiply 4 * 4

8 = 16

Solving

8 = 16

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

The equation of line passes through points $\left({ - \,4, - \,3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$ .

Further explanation:

It is given that a line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

The slope of a line passes through points $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ is calculated as follows:

$m=\frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{ }}$ ......(1)

Here, the slope of a line is denoted as and points are $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ .

Substitute for ${x_1}$ , $-3$ for ${y_1}$ , $12$ for ${x_2}$ and $1$ for ${y_2}$ in equation (1) to obtain the slope of a line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

$\begin{aligned}m&=\frac{{1 - \left({ - 3}\right)}}{{12 - \left({ - 4}\right)}}\n&=\frac{{1 + 3}}{{12 + 4}}\n&=\frac{4}{{16}}\n&=(1)/(4)\n\end{aligned}$

Therefore, the slope is $(1)/(4)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y - {y_1}=m\left({x - {x_1}}\right){\text{}}$ ......(2)

Substitute for ${x_1}$ , $1$ for ${y_1}$ and $(1)/(4)$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y - 1&=(1)/(4)\left({x - 12}\right)\n4\left({y - 1}\right)&=x - 12\n4y - 4&=x - 12\nx - 4y&=8\n\end{aligned}$

Therefore the standard equation of line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ is $x - 4y = 8$ .

Thus, theequation of line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$

Learn more:

1. Which classification best describes the following system of equations? brainly.com/question/9045597

2. What is the value of in the equation when ? brainly.com/question/3965451

3. What are the values of x?brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point

How to put 40,023,032 in expanded form

Answers

40,023,032 = 40,000,000 + 20,000 + 3,000 + 30 + 2

Find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x

Answers

Answer:

2,6323

Step-by-step explanation:

The first five batters on a softball team’s lineup have the following numbers of hits for the season: 83, 71, 68, 62, 61. What is the mean number of hits for these five players?

Answers

Answer:

Step-by-step explanation:

83+71+68+62+61(players hits for the season)=345

345(total of numbers added)÷5(number of players)

69(average of players hits as a team)

Answer:

296.2

Step-by-step explanation:

Which of the following represents an equation for the line that is parallel to y=3/2x-7 and qhich passes through the point (6,8)? 1) y-8=-2/3(x+6) 3)y+8=3/2(x-6)
2)y-8=3/2(x+6) 4)y+8=-2/3(x-6)

Answers

answer:

1)y-8=-2/3(x+6) 3)y+8=3/2(x-6)

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