MATHEMATICS HIGH SCHOOL

5. Find the equation of the line through the point (1, 3) with a slope of 2 in both pointslope form and slope-intercept form. Sketch a graph of the function.

Answers

Answer 1

Answer:

point slope form: y-3=2(x-1)

Slope-intercept form: y=2x+1

Step-by-step explanation:

y-y=m(x-x)

y-3=2(x-1)

y-3=2x-2

y=2x-2+3

y=2x+1

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Find the buying price of each of the following when 5% sales tax is added on the purchase of;1. a pillow for RS. 60
2. two bars of soap at RS.25 each

Answers

1. 60 + 60*0.05 = 60 + 3 = 63;
2. 50 + 50*0.05 = 50 + 2.5 = 52.5;

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Hailey ran a few laps. D(n) models the duration (in seconds) of the time it took for Hailey to run her n lap. When did her lap duration increase

Answers

Answer:

during the 7th and the 9th lap

Step-by-step explanation:

I just did it

Answer:

2 hours

Step-by-step explanation:

A square garden is 10 feet long. How much will it cost to install a fence around the garden if the fence costs $1.75 per foot?

Answers

ok we know that the fence is 1.75 per foot and we need 10feet of it so it simple

math 10*1.75

17.50$

You sell pies at a farmers' market for $7.50 each. Five people want to share a pie by splitting the cost equally. How much will each of them need to pay to buy a whole pie together?

Answers

Answer:

Each of them need to pay to buy a whole pie together = $1.50

Step-by-step explanation:

Unit rates defined as the rates are expressed as a quantity of 1, such as 7 feet per second or 9 miles per hour, they are called unit rates.

As per the statement: You sell pies at a farmers' market for $7.50 each.

⇒ Cost of each pie = $7.50

Also, five people want to share a pie by splitting the cost equally.

Number of people = 5

then, by definition of unit rate;

unit rate per people = $(Cost of whole pie)/(Number of people) = (7.50)/(5) = \$1.50$

Therefore, $1.50 will each of them need to pay to buy a whole pie together.

Solve for x. −4/9 x 7=−71/8 x 9

Answers

-4/9 x + 7 = -71/8 x + 9
-4/9 x + 71/8 x = 9 - 7
607/72 x = 2
x = (2 x 72)/607 = 144/607

An angle measures 142° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

19° and 161°

Step-by-step explanation:

A - an angle

S - its suplementary angle

A = S - 142°

Suplementary angles add to 180° so:

A + S = 180°

S - 142° + S = 180°

2S = 322°

S = 161°

A = 161° - 142° = 19°

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To the nearest hundredth of a second, how much time does it take a car to travel 50 feet from a stop at a constant acceleration of 3. 2 ft/s²? Use d=1/2at², where d represents distance, a represents acceleration, and t represents time in seconds. (pic above)

At the space center, Karen bought a model of a shuttle. She started working on the model the next day at 11:13 A.M. She worked until leaving for lunch at 11:54 A.M. After lunch, she worked on the model again from 1:29 P.M. Until 1:46 P.M. How long did Karen work on the model? Karen worked on the model for minutes.

In 1975 the price of gasoline per gallon was 52.5 cents. With the 1975 price as the reference value, the gasoline price index for 1998 is 192.4. What was the cost of a gallon of gasoline in 1998?