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Eddi Din [679]
3 years ago
6

Find the solutions x^2=16x-28

Mathematics
1 answer:
ioda3 years ago
7 0
Minus 16x both sides and add 28 to both sides
x^2-16x+28=0
factor
hmm, what 2 numbers multiply to 28 and add to -16
hmm
1 and 28? nope
2 and 14? yep
since middle term is negative and last tem is positive, both of the factors are negative

(x-14)(x-2)=0
set each to zero
x-14=0
x=14

x-2=0
x=2

x=2 and 14
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What is 1x+3y=18 in slope intercept form
photoshop1234 [79]

Answer:

y = -x/3 + 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   x + 3y = 18

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Subtract <em>x</em> on both sides:                    3y = -x + 18
  2. Divide 3 on both sides:                       y = -x/3 + 6
3 0
2 years ago
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Thomas reads 2/9 of a book on Monday and 1/6 of it on Tuesday. He reads twice as many pages on Wednesday as on Tuesday. What fra
dezoksy [38]
1/18 is left. Thomas has 1/18 left of his book. How? What denominator can 9&6 relate to? 54? Sure, but it could be lower. How about 18? Ok. We have 18 because 9x2 and 6x3 both equal 18... 2/9 becomes 4/18 because 18 divided by 9 is 2. You multiply 2 with the two from 2/9. 1/6 becomes 3/18 because 18 divided by 6 is 3. You then multiply 3 with the one from 1/6. Put it together and TA-DA... Your answer is 1/18
8 0
3 years ago
Help!
Galina-37 [17]

Answer:

B

Step-by-step explanation:

Note:

1 gal = 4 quarts

1 pint = 0.5 quart

Re-writing all the choices in dollars and quarts and calculating how much each quart costs

A)  $1 per 1 quart

B)  $2 per gallon = $2 per 4 quarts = $2 ÷ 4 quarts = $0.50 per quart

C)  $1.50 per 2 quarts = $1.50 ÷ 2 quarts = $0.75 per quart

D)  $0.50 per 1 pint = $0.50 per 0.5 quart = $0.50 ÷ 0.5 quart = $1 per quart

If you compare all of the above, it is clear that answer B ($0.50 per quart) is the cheapest rate and hence the best deal.

6 0
3 years ago
What is the range of 17, 12, 28, 21, 14, 74, 32, 14, 25, 23
natita [175]

Answer:

it's 22 I hope you got it right if not then i'm sorry

8 0
2 years ago
Read 2 more answers
Can someone answer this question please?
Keith_Richards [23]

Part (a)

<h3>Answer:  0.2</h3>

----------------------------------

Work Shown

It costs $15 to rent a bike for 3 hours. We can write the following ratio below

15 dollars : 3 hours

To represent the connection of the two concepts (dollars connecting with hours)

We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".

Divide both sides of the ratio by 15 to achieve this goal.

15 dollars : 3 hours

15/15 dollars : 3/15 hours

1 dollar : 1/5 hours

1 dollar : 0.2 hours

0.2 hours : 1 dollar

So we get 0.2 hours per dollar.

As a side note, 0.2 hours = 0.2*60 = 12 minutes.

========================================================

Part (b)

<h3>Answer:  3.38</h3>

----------------------------------

Work Shown

27 pages : 8 minutes

27/8 pages : 8/8 minutes

3.375 pages : 1 minute

3.38 pages : 1 minute

I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.

3 0
3 years ago
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