Please help me finish my homework!!!!

Write an equation (in slope-intercept form) of the line that passes through (0, 3) and (−5, 2.5).

Paladinen [302]

The equation of the line passing throught the points $A(x_A,y_A)$ and $B(x_B,y_B)$ has a form

$\dfrac{x-x_A}{x_B-x_A}=\dfrac{y-y_A}{y_B-y_A}.$

Now the equation of the line passing through points (0, 3) and (−5, 2.5) is

$\dfrac{x-0}{-5-0}=\dfrac{y-3}{2.5-3}.$

Simplify it:

$\dfrac{x}{-5}=\dfrac{y-3}{-0.5},\\ \\0.5x=5(y-3),\\ \\5x=50y-150,\\ \\x=10y-30,\\ \\10y=x+30,\\ \\y=0.1x+3.$

This equation is in slope-intercept form.

Answer: y=0.1x+3.

5 0

3 years ago

Becky learned a total of 6 appetizer recipes over the course of 3 weeks of culinary school. After how many weeks of culinary sch

enot [183]

If the six appetizer recipes are distributed evenly between the three weeks, that would mean that Becky learned two recipes per week.

The answer is 10 weeks, every week Becky learns two recipes.

2 x 10=20

7 0

3 years ago

For a bake sale, Jeremy is selling cookies for $3.00 a dozen (25 cents for each single cookie). If Jeremy makes $25.75 during th

wel

3 D + .25 S = 25.75
He sold 103 cookies, which could have occurred in many ways.
8 dozen and 7 singles
7 dozen and 19 singles
6 dozen and 31 singles
5 dozen and 43 singles
and so on

8 0

3 years ago

Read 2 more answers

It has been estimated that the price elasticity of demand for attending baseball games is 0.23. Other things held constant, a 10

Akimi4 [234]

Answer:

Correct option: (A) 43.48% fall in the price of a ticket.

Step-by-step explanation:

The price elasticity of demand is defined as the percent change in quantity demanded to the percent change in the price.

$Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}$

Given:

Price elasticity of demand = 0.23

% change in quantity demanded = 10

Compute the % change in price as follows:

$Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}\\0.23=\frac{10}{\%\ change\ in\ price}\\{\%\ change\ in\ price}=\frac{10}{0.23}\\=43.4783\\\approx43.48$

Thus, a 10 percent increase in attendance can be explained by a 43.48% fall in the price of a ticket.

7 0

3 years ago

The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest r

marin [14]

Answer:

0.11

Step-by-step explanation:

Probability that house sale will increase = P(A) = 0.25

Probability that interest rate on house loans will go up = P(B) = 0.74

Probability that either house sales will go up or interest rates will go up = P(A or B ) = 0.89

We have to find the probability that neither house sales nor interest rates will increase. This event is the compliment of the event that either house sales will go up or interest rates will go up.

i.e.

Probability that neither house sales nor interest rates will increase = $P(A \cup B)^{c}$

$P(A\cup B)^{c} = 1 - P(A \cup B)$

Using the value of P(A U B), we get:

$P(A\cup B)^{c} = 1 - 0.89\\\\ P(A\cup B)^{c} = 0.11$

The probability that neither house sales nor interest rates will increase during the next 6 months is 0.11

7 0

3 years ago