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3 years ago

Write the equation of a line in slope-intercept form that goes through the points (4,−1)

Mathematics

1 answer:

PIT_PIT [208]3 years ago

4 0

Answer:

y = -0.75x + 2

Step-by-step explanation:

y = mx + b

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Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

Number of projects in the first year = 90

b)

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

8 0

3 years ago

An annoyed teacher asked her student to do the following: (1) Start with the number 12. Go to step (2). (2) Take the negative of

dedylja [7]

Answer:

Step-by-step explanation:

// 12

// -12

//-11

//88

8 0

3 years ago

Does someone know the correct answer?

Ksenya-84 [330]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Task 1

CaHeK987 [17]

Answer:

part 1 : y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

part 2 : x^2 + 2x + 1 = 0

(x + 1)^2 = 0

x = -1

y = 1

task 2

part 1 : Let our two digit number be 26

Next, we rewrite it as a difference of two numbers

26=32-6

We want to square 26 using the identity:

In this case,

x=32

y=6

Substituting into the identity

plz make me brainliest

7 0

3 years ago

Ann is going on vacation. Ann dog food for a pet sitter to feed her dog Maggie while she's away she leaves 24 cans of wet food a

docker41 [41]

1/4x = 24 for cans
Multiply both sides by 4 (the multiplicative inverse of 1/4)
x = 96 days

3/4x = 38 for dry food
Multiply both sides by 4
3x = 152
x = 50.666667

So I would say Ann can be gone 50 days before Maggie runs out of food. I don’t think they would count the 2/3 of a day. She will run out of dry food before canned food.

3 0

3 years ago