2a + 3b = 5 b = a - 5 What is a and b?

Help.....................

eduard

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

$\sqrt{100}$ + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

$\sqrt{100}$ + [24 - 15] - (60 - 49 - 1)

$\sqrt{100}$ + 9 - 10

10 + 9 - 10

Answer = 9

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

7 0

3 years ago

Write an equation of a line perpendicular to x = -7 and passes through the point (4,9).

AlladinOne [14]

Answer:

y = 9

Step-by-step explanation:

The line x = -7 is a vertical line, so the perpendicular line will be horizontal.

Horizontal lines have a slope of 0.

Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation

y = mx + b

9 = 0(4) + b

9 = b

Plug this and the slope into the equation:

y = mx + b

y = 0x + b

y = 9

So, y = 9 is the equation

6 0

3 years ago

dOut of 300 students taking discrete mathematics,60 take coffee, 27take cocoa 36 take tea, 17 take tea only,47 take chocolate on

TiliK225 [7]

Here the sets are overlapping. Overlapping sets are those which contain at least one element common.

The four sets of coffee, tea, chocolate and cocoa users all are overlapping containing one or more elements of the other.

The missing set numbers have been marked as a, b, c, d in the diagram.

The data in the question tells that

60 take coffee,

30 take coffee only

2 take tea, coffee and Chocolate,

whereas 12 take tea and coffee

17 take tea only,

2 take tea, coffee and Chocolate,

3 take chocolate, tea and cocoa,

whereas 12 take tea and coffee

36 take tea,

9 take tea and chocolate

47 take chocolate only

7 take chocolate and cocoa

3 take chocolate, tea and cocoa,

2 take tea, coffee and Chocolate,

9 take tea and chocolate

20 take cocoa only

27 take cocoa

3 take chocolate, tea and cocoa,

7 take chocolate and cocoa

Total tea takers= T= { 17+12+9+2+3+a+b}= {43+a+b}

Total coffee takers= C= {30+12+2+a+b+c+d}= {44+a+b+c+d}

Total Chocolate users= Ch= {47+9+3+2+7+b+c} = {68+b+c}

Total Cocoa users= Co= { 20+7+3+a+b+c+d}= {30+a+b+c+d}

C∩ Co= {d}

C∩ T= {12}

T ∩ Ch= {9}

Ch∩ Co= {7}

This can be shown by the Venn diagram as follows.

brainly.com/question/18328369

5 0

3 years ago

Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a wee

Stels [109]

8x >/= 120
x >/= 15
She must work 15 hours or more to earn at least $120

7 0

3 years ago

30 points if you answer this question and please show work !!

worty [1.4K]

I don't know what is between f(x) and g(x), so (for now) there are two posible answers:

1. $f(x)g(x) = f(x)\cdot g(x)$ - function multiplication:

$f(x)g(x)=(2x-3)\cdot(3x+8)=2x\cdot3x+2x\cdot8-3\cdot3x-3\cdot8=\\\\=6x^2+16x-9x-24=\boxed{6x^2+7x-24}$

2. $f(x)g(x)=f(x)\circ g(x)$ - function composition:

$f(x)g(x) = f(x)\circ g(x) = f\big(g(x)\big)=2(3x+8)-3=2\cdot3x+2\cdot8-3=\\\\=6x+16-3=\boxed{6x+13}$

5 0

3 years ago