MATHEMATICS HIGH SCHOOL

Which is the slope-intercept form of the equation y - 12 =-1/3(x- 6)?

Answers

Answer 1

Answer:

Answer:y=-1/3x+14

Step-by-step explanation:

Answer 2

Answer:

Final answer:

To convert the equation y - 12 = -1/3(x - 6) into the slope-intercept form y = mx + b, distribute -1/3 and add 12 to both sides to obtain y = -1/3x + 14.

Explanation:

The question is asking to convert the equation into the slope-intercept form. The slope-intercept form of an equation is given by the formula y = mx + b, where 'm' represents the slope and 'b' is the y-intercept. To transform y - 12 = -1/3(x - 6) to this form, you need to distribute -1/3 into the parentheses and add 12 to both sides.

Firstly distribute -1/3 to get y - 12 = -1/3x + 2. Then by adding 12 to both sides we get y = -1/3x + 14.

Hence the equation y = -1/3x + 14 is the slope-intercept form of the equation y - 12 = -1/3(x - 6).

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NOT A MULTIPLE CHOICE QUESTION, I NEED AN ANSWER FOR ALL!!!I. The Bread Machine (25 points)
In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider: quality of homemade vs. bought, expense, convenience, enjoyment of making something, etc. In this response, you will be looking at the choice of buying a bread machine or relying exclusively on store bought bread.

A. The bread machine you are interested in costs $100 with tax.
The ingredients to make one loaf of bread cost $0.80.
What is the rate of cost of one loaf of bread?

B. What is your start up cost? (cost of machine)

C. Write a linear equation, y = mx + b for the total cost.

D. Graph the equation on the graph provided. You may use either Point Plotting or Slope-Intercept. Be sure to locate at least 3 points. You may want to do this in pencil in case you decide to use more points later in the problem.

Answers

1. The decision you're looking at is buying a bread machine and the ingredients to make bread vs buying bread at the store.

B. What is your start up cost (cost of machine)?
$100

C. Write a linear equation for the total cost in form, y = mx + b.
Total cost is the cumulative cost for all loaves of bread since the machine was purchased.
You have the start-up cost plus the cost of each additional loaf of bread, so the total cost (Y) is:
Y = $100 + $0.80*x
where x is the number of loaves of bread.

D. Graph the equation on the graph provided.

If (x2 +3x +5)(x2 +3x - 5) = m2-n2, then find m ?

Answers

$(x^2+3x+5)(x^2+3x-5)=m^2-n^2\n\n\ [(x^2+3x)+5][(x^2+3x)-5]=(m+n)(m-n)\n\nm=x^2+3x;\ n=5$

Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day?

Answers

The amount in her bank account on the sixth day is $16 if Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days.

What is the deposit?

A deposit by a payer into a payee's bank account is referred to as a direct deposit. Businesses most usually use direct deposits to pay salaries and wages, and they are typically made through electronic funds transfers or physical deposits into a payee's bank account.

We have:

Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days.

Let x be the total amount in her bank account on the sixth day.

x = -54 + 5×15 - 5

x = -54 + 75 - 5

x = $16

Thus, the amount in her bank account on the sixth day is $16 if Rose’s checking account has a balance of -$54. She makes no more withdrawals but deposits $15 per day in her account over the next 5 days.

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Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)

Evaluate: xy - x (x - y^0) if x = 2 and y = -1/2

Answers

Hi

2(-1/2) - 2(2+(-1/2)^0)
= -2/2 - 2(2+(-1/2)^0)
= -1 - 2(2+(-1/2)^0)
= -1 -2 (2+1)
= -1 -2(3)
= -1 -6
= -7

I hope that's help :)

If you have any further questions please let me know :)

$2(- (1)/(2) ) - 2(2+(- (1)/(2))^0)$

$- (2)/(2) - 2(2+(- (1)/(2) )^0)$

$-1 - 2(2+(- (1)/(2) )^0)$

$-1 -2 (2+1)$

$-1 -2*(3)$ -1 -2(3)

$-1 -6$

$-7$

Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?