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Westkost [7]
3 years ago
15

Simplify. (22-7y+6)-(-4y2 + 3y+5)

Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0

Answer:

Step-by-step explanation:

(22 - 7y + 6) - (-4y² + 3y + 5) = 22 + -7y + 6 + 4y² - 3y  - 5

                                             = 22 + 6 - 5 - 7y - 3y  + 4y²

                                            = 23 - 10y + 4y²

RUDIKE [14]3 years ago
4 0

Answer:

4y^2 - 10y + 23

Step-by-step explanation:

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Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
3 years ago
Read 2 more answers
A hair salon completed a survey of 367 customers about satisfaction with service(Dissatisfied, Neutral, Satisfied, or Very Satis
mamaluj [8]

The results of the survey are shown in the table.

It's required to calculate the following probabilities:

a) A customer is neutral

The row labeled as 'Neutral' has a total of 79 customers out of 367 in total.

The required probability is:

p=\frac{79}{367}

b) A customer is a walk-in

The first column labeled as 'Walk-in' has a total of 106 customers out of 367. The required probability is

p=\frac{106}{367}

c) A customer is dissatisfied and a walk-in.

We have to cross the row Dissatisfied with the column Walk-in. The number of customers that have both categories is 22 out of 367.

The required probability is:

p=\frac{22}{367}

d) A customer is very satisfied given he saw a TV ad.

This is a conditional probability, where the total is 111 because is the given condition. The customers that have both characteristics are 33, thus the required probability is:

p=\frac{33}{111}=\frac{11}{37}

e) A customer is satisfied or referred.

Total satisfied = 139

Total referred = 150

With both features = 62

Total customers with one or both features: 139 + 150 - 62 = 227

We have to subtract the common feature because it was counted twice.

The required probability is:

p=\frac{227}{367}

6 0
1 year ago
I’m stuck on all of these <br> :( any help would be very appreciated
dem82 [27]

Answer:

1. 8x^3+6x^2+7

Step-by-step explanation:

8 0
3 years ago
By first considering the angles on line abc show that ac is parallel to df​
Finger [1]

Answer:

so you have to use interior and exterior angles to solve

8 0
3 years ago
The length and breadth of a rectangular field are 312m and 186m respectively; correct to the nearest metres. Between what limits
lisabon 2012 [21]

Answer:

P \geq 1000 \; meters

Step-by-step explanation:

<u>Given the following data;</u>

Length = 312 meters

Breadth = 186 meters

To find the perimeter of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Perimeter = 2(312 + 186)

Perimeter = 2(498)

Perimeter = 996 meters

To the nearest meters, we have;

Perimeter = 996 ≈ 1000 meters

Let P represent the perimeter of a rectangular field.

900 < P > 1000

Therefore, P \geq 1000 \; meters

8 0
2 years ago
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